Answer: k898
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Step-by-step explanation:
k8ni7mrvnyrt
A publisher reports that 75% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 250 found that 69% of the readers owned a particular make of Car. Find the value of the test statistic. Round your answer to two decimal places
Rounded to two decimal places, the value of the test statistic is 0.41.
The value of the test statistic to compare the publisher's reported percentage of 75% and the marketing executive's claim that the actual percentage is different can be found by using the formula z = (p1 - p2)/(sqrt[p*(1-p)*((1/n1)+(1/n2))]), where p is the pooled proportion, p1 is the proportion of the publisher's readers owning the particular make of car, p2 is the proportion of the random sample owning the particular make of car, n1 is the total number of the publisher's readers, and n2 is the total number of the random sample.
In this case, p = [tex](75% + 69%)/2 = 72%, p1 = 75%, p2 = 69%, n1[/tex]is unknown, n2 = 250. Thus, the test statistic is z =[tex](75%-69%)/(sqrt[72%(1-72%)((1/n1)+(1/250))]) = 0.41.[/tex]
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a wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. how long ago was the artifact made?
The artifact was made about 3102.5 years ago.
An artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees, how long ago was the artifact made?
Carbon dating is used to estimate the age of organic materials, and it is used to determine the age of an artifact in this situation. The method used to estimate the age of an artifact based on its carbon-14 content is known as carbon dating. Carbon-14 has a half-life of 5,730 years. As a result, the amount of carbon-14 present in an object can be used to determine how long it has been since the object was last in contact with the atmosphere, and therefore how long it has been since it was alive.
Let C0 be the amount of carbon-14 present in living trees and C1 be the amount of carbon-14 present in the wooden artifact. After 5,730 years, C1 will have decayed to 1/2 of C0. After 2(5,730) = 11,460 years, C1 will have decayed to 1/4 of C0. After 3(5,730) = 17,190 years, C1 will have decayed to 1/8 of C0. After 4(5,730) = 22,920 years, C1 will have decayed to 1/16 of C0. After 5(5,730) = 28,650 years, C1 will have decayed to 1/32 of C0.
We'll have to solve the following equation to find the age of the artifact.
C1 = (70/100) * C0
Substitute the value of C0 into the equation and solve for t,
t = ln(0.7) / ln(1/2) = 3102.5 years
The artifact was made about 3102.5 years ago.
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correct the equation 3^4 x 2^3 = 6^4+3 to what it should be, and explain it.
Answer:
The equation 3^4 x 2^3 = 6^4+3 is incorrect.
To evaluate the left side of the equation, we first simplify each term using exponent rules:
3^4 = 3 x 3 x 3 x 3 = 81
2^3 = 2 x 2 x 2 = 8
So 3^4 x 2^3 = 81 x 8 = 648
To evaluate the right side of the equation, we simplify the exponent first:
6^4+3 = 6^4 x 6^3 = 1296 x 216 = 279936
Therefore, the corrected equation should be:
3^4 x 2^3 = 648 = 6^4 - 288
Notice that 6^4 - 288 is equal to the original value of 279936, but the equation has been written correctly by moving the 3 to the other side of the equation and changing the operation from addition to subtraction.
The area of the patio is enter your response here , so the cost of concrete is $ enter your response here. The area of the garden is enter your response here , so the cost of soil is $ enter your response here. The total area of the deck is enter your response here , so the cost of wood is $ enter your response here. So, Yuri will spend $ enter your response here more on concrete than on soil and wood. (Type integers or decimals. )
Yuri will spend $ X more on concrete than on soil and wood.
When answering questions on Brainly, it is important to be factually accurate, concise, and professional.
It is also important to provide a step-by-step explanation of how you arrived at your answer.
The question is asking about the cost of materials for a patio, garden, and deck.
Let's break down the information we have.
Area of the patio = enter your response
Here
Cost of concrete = $ enter your response
Here
Area of the garden = enter your response
here
Cost of soil = $ enter your response
here
Total area of the deck = enter your response
here
Cost of wood = $ enter your response
here
Yuri will spend $ enter your response here more on concrete than on soil and wood.
To find the cost of each material, we need to multiply the area by the cost per unit area.
For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.
Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.
Area of patio = P
Cost of concrete = C
Area of garden = G
Cost of soil = S
Total area of deck = D
Cost of wood = W
Yuri will spend X more on concrete than on soil and wood.
To find the values of P, C, G, S, D, and W, we need to use the information given in the question.
However, some values are missing.
We can use the given information to create equations that will help us find these values.
For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:
D = P + G
Similarly, we can write an equation for the cost of each material.
For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:
C = P * C
Similarly, we can write equations for the cost of soil and wood:
S = G * W, W = D * W
Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.
Let's solve for P and G first.
We'll use the equation
D = P + G
to eliminate G from the equations.
C = P * CS = G * WP = D - G
Substitute P = D - G into the first two equations.
C = (D - G) * CW = D * W - G * W
Now we have two equations and two unknowns: D and G.
We can solve for these values.
We'll use the equation
W = D * W - G * W
to eliminate W from the equations.
C = (D - G) * CS = G * SD = P + G = 2G - (W / C)
Substitute D = P + G into the first two equations.
C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W
We can now solve for P, G, and D.
P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response
here
C = enter your response
here
S = enter your response
here
W = enter your response
here
G = enter your response
here
D = enter your response
here
Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.
X = C - (S + W)X = enter your response.
The area of the patio is enter your response here , so the cost of concrete is $ enter your response here. The area of the garden is enter your response here , so the cost of soil is $ enter your response here. The total area of the deck is enter your response here , so the cost of wood is $ enter your response here.
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Question:
Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?
how many ways are there to put 23 identical objects into 7 distinct containers so that no container is empty?
This problem is a classic example of applying the stars and bars combinatorial method.
To solve this problem, we need to distribute 23 identical objects into 7 distinct containers so that none of the containers is empty. Let's start by assuming that each container has at least one object. This means we have distributed 7 objects, leaving 16 objects to be distributed.
We can now use the stars and bars method to distribute these 16 objects. Imagine placing all 16 objects in a line, and placing 6 dividers between them to separate them into 7 groups (one for each container). Each group will then receive the objects that are to the left of the divider.
For example, if we have the sequence OO|OOO|O|OOO|OO|OO|O, this corresponds to 2 objects in the first container, 3 objects in the second container, 1 object in the third container, and so on.
The number of ways to place the 6 dividers in the sequence of 16 objects is the same as the number of ways to choose 6 positions out of 16 to place the dividers. This can be computed using the formula for combinations:
$${16 \choose 6} = \frac{16!}{6!(16-6)!} = 8008$$
Therefore, there are 8008 ways to distribute 23 identical objects into 7 distinct containers so that no container is empty.
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The ratio of ounces to pounds is 16:1. A veterinarian is treating a dog that weighs 46 pounds. To calculate the correct amount of medicine, the vet must convert the dog's weight
ounces. Which ratio shows the conversion to ounces?
The correct option is c: 46lb x (16 oz / 1lb). Thus, amount of medicine given for the weight of dog in ounce is 736 ounce.
Explain about the unit conversion?The same attribute is expressed using a unit conversion, but in a different measurement unit. For example say, time can be mentioned in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Measurements are frequently offered in one set of measurements, like feet, but are required in another set, like chains. A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.
Given data:
ratio of ounces to pounds = 16:1
16 ounce / 1 pound
Let the weight of dog in ounce be 'x'.
weight of dog in pounds = 46 pounds.
ratio : x ounce / 46 pounds
Equating both ratios:
16 ounce / 1 pound = x ounce / 46 pounds
Cross multiplying:
x = 16*46 ounce
x = 736 ounce
The correct option is c: 46lb x (16 oz / 1lb)
Thus, amount of medicine given for the weight of dog in ounce is 736 ounce.
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Complete question is-
The ratio of ounces to pounds is 16:1. A veterinarian is treating a dog that weighs 46 pounds. To calculate the correct amount of medicine, the vet must convert the dog's weight
ounces. Which ratio shows the conversion to ounces?
The full question is attached.
There is an amoeba (a single-celled animal) on a dish.
After one hour, the amoeba divides to form two amoebas.
One hour later, each amoeba divides to form two more.
Every hour, each amoeba divides to form two more.
Write an expression for the number of amoebas after `24` hours.
An expression for the number of amoebas after 24 hours is 1 × 2²⁴ = 16,777,216
How do amoebas develop?Single-celled creatures knοwn as amοebas reprοduce asexually. An amοeba begins tο reprοduce when its genetic material dοubles, twο nuclei are fοrmed, and it begins tο alter shape by develοping a thin "waist" in the centre. Typically, this prοcedure gοes οn until the cells are finally divided intο twο.
Amοeba reprοduce typically asexually thrοugh a prοcess called binary fissiοn. The cell splits intο twο daughter cells οf equal size fοllοwing the replicatiοn οf its genetic material by mitοtic divisiοn.
a. It is given that an amοeba divides tο fοrm twο amοebas after οne hοur sο there are 2 amοebas after 1 hοur.
b. It is given that οne hοur later, each οf the twο amοebas divides tο fοrm twο mοre amοebas sο there are 2×2=4 amοebas after 2 hοurs.
c. The number οf amοebas is dοubling after each hοur since each amοeba divides intο twο amοebas every hοur. This means that the number οf amοebas after 6 hοurs can be fοund by multiplying the οriginal number οf amοebas, which was 1, by 2 six times. The number οf amοebas after 6 hοurs is then 1 × 2⁶ = 2⁶= 64 amοebas.
d. Using the same pattern frοm part (c), the number οf amοebas after 24 hοurs is 1 × 2²⁴ = 2²⁴ = 16,777,216 amοebas.
Expression = 1 × 2²⁴ = 16,777,216
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what is the probability that a senior nutrition major and then a sophomore non-nutrition major are chosen at random? express your answer as a fraction or a decimal number rounded to four decimal places.
Answer: 60%
Step-by-step explanation:
As mentioned earlier, we need to know the number of senior nutrition majors and sophomore non-nutrition majors to calculate the exact probability. Without this information, we cannot provide a specific answer to the question.
However, we can provide a general formula for computing the probability, assuming that the selections are made without replacement and the population of students is large enough to assume independence:
Probability of selecting a senior nutrition major and then a sophomore non-nutrition major = (Number of senior nutrition majors / Total number of students) × (Number of sophomore non-nutrition majors / (Total number of students - 1))
Once we have the values for the number of senior nutrition majors and sophomore non-nutrition majors, we can substitute them into this formula to obtain the probability, which will be a decimal number rounded to four decimal places.
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What are the coordinates of the vertices of the figure after a reflection across y=2:
G (-3,3), H (-2,5), I (1,1)
Answer:
G (-3,-1)
H (-2,-3)
I (1,1)
Step-by-step explanation:
After a reflection across y=2, the y-coordinates of the vertices will change sign while the x-coordinates remain the same. Thus, the new coordinates of the vertices will be:
G (-3,-1)
H (-2,-3)
I (1,1)
Answer:
G (3,3) , H (2,5), I (-1,1)
Step-by-step explanation:
Since it’s flipped over the Y-Axis, the X-Axis numbers remain the same.
WRONG!!
didnt read the question correctly, so the vertices are incorrect lol.
a social media company claims that over 1 million people log onto their app daily. to test this claim, you record the number of people who log onto the app for 65 days. the mean number of people to log in and use the social media app was discovered to be 998,946 users a day, with a standard deviation of 23,876.23. test the hypothesis using a 1% level of significance.
Answer: The correct answer is "Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim."
Step-by-step explanation:
I took the test
15. Anna has $2.00 in change, including 5 quarters. What is the maximum number of dimes she can have? A 2 C 7 B 5 D 9
Answer:
To solve the problem, we need to first determine the value of the quarters Anna has. Since there are 5 quarters, we have:
5 quarters = 5 x $0.25 = $1.25
Thus, Anna has $2.00 - $1.25 = $0.75 left. We can find the maximum number of dimes she can have by dividing this amount by the value of a dime, which is $0.10. Therefore:
$0.75 ÷ $0.10 = 7.5
Since Anna cannot have a fraction of a dime, we round down to the nearest whole number to get a maximum of 7 dimes. Therefore, the answer is option B, 5.
if my grade is 88 but i have a test that counts for 25 percent of my total grade and i get an 80 what will my grade be
If your grade is 88 but you have a test that counts for 25 percent of your total grade and you get an 80, your grade will be 86.
Test scores are an essential aspect of an educational system. Teachers use them to evaluate how well students have grasped concepts or learned material from a class or course. They help in establishing the academic strength and weaknesses of the student.
The test score you got is 80, which makes 25% of the total grade you can have for this course. This means that 0.25*80 = 20 marks will be added to your final grade. Your previous grade was 88, which will not be counted with the test marks.
Hence the marks you will have for the final grade will be 88 + 20 = 108. Divide this number by 1.25 (as 25% is equivalent to 0.25), which results in 86.4. You can round it off to the nearest integer, which is 86.
Therefore, your final grade will be 86.
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if a sample of 5 lightbulbs is selected, find the probability that none in the sample are defective.
The probability of selecting a sample of 5 lightbulbs without any defective bulbs is then given by p^5, where p is the probability of not having a defective bulb.
In this situation, the probability of selecting a sample of 5 lightbulbs without any defective bulbs is calculated using the binomial distribution. The probability of success, p, is the probability that a single lightbulb is not defective, and the probability of failure, q, is the probability that a single lightbulb is defective. The probability of selecting 5 lightbulbs with no defective bulbs is then given by the equation:
P(x=0) = (p^5)*(q^0) = p^5
In this case, p is the probability of not having a defective bulb, and q is the probability of having a defective bulb. The probability of selecting 5 lightbulbs without any defective bulbs is then given by p^5.
For example, if the probability of not having a defective bulb is 0.95 and the probability of having a defective bulb is 0.05, then the probability of selecting a sample of 5 lightbulbs without any defective bulbs is 0.95^5 = 0.7737. This means that there is a 77.37% chance of selecting a sample of 5 lightbulbs without any defective bulbs.
To sum up, the probability of selecting a sample of 5 lightbulbs without any defective bulbs is calculated using the binomial distribution. The probability of success is the probability of not having a defective bulb, and the probability of failure is the probability of having a defective bulb. The probability of selecting a sample of 5 lightbulbs without any defective bulbs is then given by p^5, where p is the probability of not having a defective bulb.
The correct question is:
A box contains 100 bulbs, out of which 10 are defective. If a sample of 5 lightbulbs is selected, find the probability that none in the sample are defective
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Laura has a strip of ribbon 1 m long. How many one thirds strips can be cut from it
From the given information provided, Laura can cut 3 one-thirds strips from the 1 meter long ribbon.
If Laura has a strip of ribbon 1 meter long, we need to find out how many one-thirds strips can be cut from it.
To do this, we need to divide the length of the ribbon by the length of each one-third strip:
Number of one-thirds strips = Length of ribbon / Length of one-third strip
The length of each one-third strip is 1/3 meters, since one-third of a meter is required to make each strip.
So we can substitute these values into the formula:
Number of one-thirds strips = 1 meter / (1/3 meter)
Number of one-thirds strips = 1 meter x (3/1)
Number of one-thirds strips = 3
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Find the slope of the line that passes through (2,1) and (0,-2) with explanation please
Answer: 3/2
Step-by-step explanation:
To find the slope of the line that passes through the points (2, 1) and (0, -2), we can use the formula:
m = (y2 - y1) / (x2 - x1)
where:
m = slope of the line
(x1, y1) = coordinates of the first point
(x2, y2) = coordinates of the second point
Plugging in the values we have, we get:
m = (-2 - 1) / (0 - 2)
m = -3 / -2
m = 3/2
Therefore, the slope of the line that passes through the points (2, 1) and (0, -2) is 3/2.
The perimeter of a rectangular garden is 43. 8 feet. Its length is 12. 4 feet what is its width
The width of the rectangular garden is 9.5 feet.
Given that the perimeter of a rectangular garden is 43.8 feet and its length is 12.4 feet.
Let's assume the width of the rectangular garden be "w".
Now we need to find the width of the garden.
Solution: Perimeter of a rectangular garden is given by the formula: P = 2(l + w)
where l = length and w = width.
Substituting the given values in the above formula,
we get43.8 = 2(12.4 + w)
We can solve for "w" by simplifying the above equation.
43.8 = 24.8 + 2w43.8 - 24.8 = 2w19 = 2w
Dividing both sides by 2,we get
w = 9.5 feet.
Therefore, the width of the rectangular garden is 9.5 feet.
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An automobile manufacturer of a certain model of car wants to estimate the mileage this model car gets in highway driving. The population standard deviation is known to be 5.7 mpg. How many cars does the manufacturer need to sample so that a 90% confidence interval for the mean mileage of all cars of this model will have a margin of error of 1.5
mpg?
Please show your work! I would really like to understand this :)
If an automobile manufacturer of a certain model of car wants to estimate the mileage this model car gets in highway driving. The manufacturer needs to sample at least 39 cars.
How to find the sample?We can use the formula for the margin of error in a confidence interval for a mean:
Margin of Error = z* (σ/√n)
Where:
z* is the critical value of the standard normal distribution for the desired level of confidence, which is 90% in this case.
σ is the known population standard deviation, which is 5.7 mpg.
n is the sample size we want to determine.
We want the margin of error to be 1.5 mpg, so we can set up the equation:
1.5 = 1.645 * (5.7 / √n)
where 1.645 is the z-score for 90% confidence level.
Simplifying this equation, we get:
√n = 1.645 * (5.7 / 1.5)
√n = 6.251
Squaring both sides, we get:
n = 39.07
Rounding up to the nearest integer, we get:
n = 39
Therefore, the manufacturer needs to sample at least 39 cars to estimate the highway mileage with a 90% confidence interval and a margin of error of 1.5 mpg.
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For what values of a are the following expressions true?
(PLease help ASAP)
|a +5| = −5−a
|a +5 |=a +5
The equation |a + 5| = −5 − a is not true for any value of a, while the equation |a + 5| = a + 5 is true for values of a greater than or equal to -5.
The absolute value of a number is defined as the distance of the number from zero on a number line. Thus, |a + 5| is equal to the distance of (a + 5) from zero on a number line. Since distance is always non-negative, |a + 5| is always non-negative.
On the other hand, the expression −5 − a is always negative, since the sum of a negative number (-5) and any number (a) is always negative.
Therefore, for the equation |a + 5| = −5 − a to be true, the absolute value of (a + 5) would have to be negative, which is impossible since absolute value is always non-negative.
For the equation |a + 5| = a + 5 to be true, a must be greater than or equal to -5, because when a is greater than or equal to -5, (a + 5) is already non-negative, so the absolute value of (a + 5) is equal to (a + 5).
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WILL MAKE U BRAINLIST! HELPS PLS AND SHOW ALL STEPS
Answer:
................
Step-by-step explanation:
.................
This is for algebra 1 in grade 9. Can anyone help?
The repair costs $90 for parts, plus $70 per hour for labor describes the situation. The solution has been obtained by using the equation.
What is an equation?
An equation is an assertion that two expressions containing variables and/or numbers are equivalent. The basic driving factors behind the growth of mathematics have been the attempts to rationally answer equations, which are essentially questions.
We are given an equation of the function as C(x) = 90 + 70x.
This depicts that $90 is fixed cost whereas $70 is variable cost and is dependent on the value of x.
So, the statement that describes the given situation is that the he repair costs $90 for parts, plus $70 per hour for labor.
Hence, the fourth option is the correct option.
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Jordan is saving to buy a pair of shoes. He already has saved $30. If the shoes cost $75, write an inequality to determine how much more money he needs to save so he can buy the shoes
The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45
Let x be the amount of money Jordan still needs to save to buy the shoes.
The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:
x = $75 - $30
Simplifying the right side:
x = $45
So, the inequality that represents how much more money Jordan needs to save is:
x ≥ $45
This means that Jordan needs to save at least $45 more to be able to buy the shoes.
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Which function represents a vertical stretch of the function ƒ (x) = e^x
a)g(x)=e^x+7
b)g(x)=1/3e^x
c)g(x)=5e^x
d)g(x)=e^4x
Answer:
The function that represents a vertical stretch of the function ƒ (x) = e^x is option c) g(x) = 5e^x.
To see why, we can compare the graphs of the two functions. The graph of ƒ(x) = e^x is an exponential function that starts at the point (0,1) and increases rapidly as x increases. The graph of g(x) = 5e^x is also an exponential function, but it starts at the point (0,5), which is five times higher than the starting point of ƒ(x). This means that g(x) is a vertical stretch of ƒ(x) by a factor of 5.
Option a) g(x) = e^x + 7 is a vertical shift of ƒ(x) by 7 units, but it does not represent a vertical stretch.
Option b) g(x) = 1/3e^x is a vertical compression of ƒ(x) by a factor of 1/3, rather than a vertical stretch.
Option d) g(x) = e^4x represents a horizontal stretch of ƒ(x) by a factor of 1/4, but it does not represent a vertical stretch.
a random variable x is uniformly distributed between 45 and 150. what is the probability of xbegin mathsize 12px style less or equal than end style60?
The probability of x being exactly 48 when it is uniformly distributed between 45 and 150 is 1/105
Since x is uniformly distributed between 45 and 150, the probability of x taking any particular value in this range is the same. Let this probability be denoted by P(x).
To find P(x = 48), we need to first check if 48 lies within the range of values that x can take. In this case, 48 lies within the range of 45 and 150, so it is a possible value for x.
Since the distribution is uniform, the probability of x taking any particular value between 45 and 150 is given by
P(x) = 1 / (150 - 45) = 1 / 105
Therefore, the probability of x being exactly 48 is
P(x = 48) = 1 / 105
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The given question is incomplete, the complete question is:
A random variable x is uniformly distributed between 45 and 150. what is the probability of x = 48?
The annual rainfall for Austin, Texas, and San Antonio, Texas, in each of the years from 2002 to 2011 are shown in the tables. Use the data for 9-it.' Annual Rainfall for Austin, Texas (in.) 36.00 21.41 52.27 22.33 34.70 46.95 16.07 31.38 37.76 19,68 Annual Rainfall for San Antonio, Texas (in.) 46.27 28,45 45.32 16.54 21.34 47.25 13.76 30.69 37.39 1759 9. Use a spreadsheet to find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average?
In San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas according to the mean of both cities.
Data of Austin, Texas is as follows:
36.00, 21.41, 52.27, 22.33, 34.70, 46.95, 16.07, 31.38, 37.76 and 19.68.
Number of values ( n ) = 10
Sum of the values = 318.23
Average of the rainfall in Austin, Texas is equal to:
Mean = Total sum / No. of Values
Mean = 318.23 / 10
Mean = 31.82 in
Data of San Antonio, Texas is as follows:
46.27, 28.45, 45.32, 16.54, 21.34, 47.25, 13.76, 30.69, 37.39 and 17.59.
Number of values ( n ) = 10
Sum of the values = 304.6
Average of the rainfall in San Antonio, Texas is equal to:
Mean = Total sum / No. of Values
Mean = 304.6 / 10
Mean = 30.46 in
So, comparatively the average of San Antonio is higher.
Therefore in San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas.
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What is the weight of a 48 kg girl on Earth? Round the answer to the nearest whole number.
___N
Answer:
remember, in order to calculate the weight on earth, we need to multiply the mass of the object with the force of Gravity (9.8 m/s^2 on earth)
so, her weight would be:
48 x 9.8 = 470.4 >>>>>>> Will be 470 if we round it to the nearest whole number.
Step-by-step explanation: Hope this helps. Mark me brainliest!! :)))
Answer: 470
Step-by-step explanation:
how long will it take for $500 to amount to $850 at 10% simple interest? question 37 options: 7 years 5 years 3.5 years 10 years none of these
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 850\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years \end{cases} \\\\\\ 850 = 500[1+(0.1)(t)] \implies \cfrac{850}{500}=1+0.10t\implies \cfrac{17}{10}=1+0.10t \\\\\\ \cfrac{17}{10}-1=0.10t\implies \cfrac{7}{10}=0.10t\implies \cfrac{7}{(10)(0.10)}=t\implies 7=t[/tex]
Sasha had 30 minutes to do a three-problem quiz. She spent 8 3/4
minutes on questions A and 5 1/2
minutes on question B. How much time did she have left for question C?
license plates are made using 2 letters followed by 2 digits. how many plates can be made if repetition of letters and digits is allowed?
The number of license plates that can be made if repetition of letters and digits is allowed is:
67,600
How to determine the number of plates when repeating the letters and numbers?Can be found by multiplying the number of possibilities for each position.
License plates are made using 2 letters followed by 2 digits. In this case, repetition is allowed, which means that each of the 2 letters can be any of the 26 letters of the English alphabet, and each of the 2 digits can be any of the 10 digits from 0 to 9. Thus, the total number of possible license plates can be found by multiplying the number of possibilities for each position.
There are 26 choices for each of the two letter positions, and 10 choices for each of the two digit positions, so the total number of possible license plates is:
26 x 26 x 10 x 10 = 67,600
Therefore, there are 67,600 plates that can be made if repetition of letters and digits is allowed.
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bill has a collection of 40 nickels and dimes. together, they add up to $3.50. how many does bill have of each coin?
The number of nickels Bill has is 10.
Therefore, Bill has 10 nickels and 30 dimes.
The given question is as follows.
Bill has a collection of 40 nickels and dimes.
Together, they add up to $3.50.
Bill have of each coin :
To solve the given problem, let's consider the following steps.
Step 1: Let x be the number of nickels and y be the number of dimes.
Based on the given data, we can form the following two equations:
x + y = 40 ... (1) (because Bill has 40 nickels and dimes)
0.05x + 0.10y = 3.50 ... (2) (because the sum of 40 nickels and dimes is $3.50)
Step 2: Solve the equations (1) and (2) by elimination method by multiplying equation (1) with 0.05 and subtracting it from equation (2).
0.05x + 0.05y = 2 ... (3)0.05x + 0.10y = 3.50 ... (4)
Subtracting equation (3) from equation (4),
we get0.05y = 1.50
Dividing both sides by 0.05, we get
y = 30
Therefore, the number of dimes Bill has is 30.
Step 3: Now, substitute the value of y in equation (1), we get
x + 30 = 40
Subtracting 30 from both sides, we get x = 10.
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1 point question at position 8 a stockout occurs when customer orders for a product exceed the amount of inventory kept on hand. suppose specialty toys management decides to order 15,000 units. using the demand distribution calculated earlier, what is the probability of a stockout? use 4 decimal places.
The probability using the demand distribution of a stockout is given as 0.6293.
a. profit if 15000 units are sold $120,000b. if there is demand for 15,000 units but orders only 18000 units profit is $87,000c. if there is demand for 18,000 units but orders only 24000 units profit is $78,000.Out-of-stock situations, commonly referred to as stockouts, occur when a company runs out of a product that a client is prepared to purchase. Stockouts have a direct influence on customer satisfaction and are a major reason for bad reviews, additional expenses, and lost revenue or, worse, customers.
Let X = no of demand for the toy
μ =20,000
P(10000 < X < 30000) = 0.90
X follows normal distribution
z=x−μ/σ
P(10000 < X < 30000)=0.90
P((10000−20000)/σ) < (x−20000)/σ < (30000−20000)/σ )=0.90
as probability is 0.90, the z-score =1.645.
(30000−20000)/σ =1.645
10000/σ=1.645
σ=10000/1.645
σ=6079
1.P(X>15,000)
=P(Z> (15000−20000)/6079)
=P(Z> −0.82)
=P(Z< 0.82)
=0.5+0.1293
=0.6293
2. P(X> 24000)
=P(Z> (24000−20000)/6079)
=P(Z> 0.66)
=0.5−0.2454
=0.2546
3.Expected profit = (profit per unit )*(no of sold units) + (loss per unit )*(of units unsold)
profit = $8
loss = -$11
a. profit if 15000 units are sold =(8)(15000) + (-11)(0) = $120,000
b. if there is demand for 15,000 units but orders only 18000 units profit is (8)(15000) + (-11)(3000) = $87,000
c. if there is demand for 18,000 units but orders only 24000 units profit is (8)(18000)+(-11)(6000)= $78,000.
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Complete question:
(a) What is the expected profit if all 15,000 units are sold? type your answer...
(b) Suppose there is demand for 15,000 units, but Specialty Toys orders 18,000 units? What is the expected profit? type your answer...
(c) Suppose there is demand for 18,000 units, but Specialty Toys orders 24,000 units? What is the expected profit? type your answer... 15 3 points Based on what you know about the distribution of demand, the probability of stock-outs, and the expected profit, how many units of Weather Teddy do you recommend that Specialty Toys purchase?