Alice gave Zack 3/32 of the full bar of chocolate, which is equal to 1/4 of Alice's own piece.
Alice got 5/8 of a full bar of chocolate, which means she consumed 3/8 of the full bar. Now, Zack got 1/4 of the full bar from Alice, which means Alice gave him 1/4 of her own piece.
To calculate the amount of chocolate that Alice gave to Zack, we need to find out how much 1/4 of Alice's piece is. Since Alice consumed 3/8 of the full bar, her piece is equal to 3/8 of the full bar. Therefore, to find 1/4 of Alice's piece, we need to multiply 3/8 by 1/4:
3/8 * 1/4 = 3/32
So Alice gave Zack 3/32 of the full bar of chocolate.
To put it another way, Alice gave away 1/8 of the full bar of chocolate (since 5/8 - 3/8 = 1/8), and Zack received 1/4 of that 1/8, which is equal to 1/32 of the full bar. Therefore, Alice gave Zack 3/32 of the full bar of chocolate.
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I need help asap pls!!
Answer:
First, we need to calculate the daily interest rate on the credit card. We can do this by dividing the annual percentage rate (APR) by the number of days in a year:
Daily interest rate = APR / 365
Daily interest rate = 0.2445 / 365
Daily interest rate = 0.00067 or 0.067%
Next, we can calculate the interest that will accrue over the course of one month, which is approximately 30 days:
Interest = Balance * Daily interest rate * Number of days
Interest = $1,359 * 0.00067 * 30
Interest = $27.42
Adding the interest to the outstanding balance, we get:
Balance after one month = $1,359 + $27.42
Balance after one month = $1,386.42
Therefore, the balance on the credit card after one month will be approximately $1,386.42.
Part 1: Use the picture below to find the ratio for each given the trig. function.
The value of the trigonometric function for the given ratio are Sin X= 12/20. Cos L = 16/34. Tan X = 12/16. Tan Z = 16/12. Tan L = 30/16. Cos M = 16/34.
What are trigonometric functions?The fundamental six functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulae, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
Using the relationship of a right triangle and different trigonometric identities we have the values of the following as:
Sin X= opposite side to X / Hypotenuse = 12/20.
Cos L = adjacent side to L / Hypotenuse = 16/34.
Tan X = Opposite side to X / adjacent side to X = 12/16.
Tan Z = Opposite side to Z / adjacent side to Z = 16/12.
Tan L = 30/16.
Cos M = 16/34.
Hence, the value of the trigonometric function for the given ratio are Sin X= 12/20. Cos L = 16/34. Tan X = 12/16. Tan Z = 16/12. Tan L = 30/16. Cos M = 16/34.
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About 32,000 people in a region with an area 201 square miles. Find the population density in a people per square mile.
The population density of the people living in the given square area would be = 159.20 persons pre square miles.
What is population density?Population density can be defined as the amount of people that can be found in a unit area of a land.
Population density is found by dividing the total population by the total land area.
The total population of the region = 32,000 people
The total land area = 201 miles².
Therefore the population desity = 32,000/201 = 159.20 persons pre square miles.
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the length of a highway is 900. If 0.5 inch on a map represents 50 miles, what is the length of the highway on map?
Answer:
Step-by-step explanation:
We simply have to divide 900 by 50 to get us 18. Now multiply 18 by 0.5 to get an answer of 9 inches. Hope this helped!
Two streets form an intersection. ∠C and ∠D are vertical angles. If the measure of ∠C is (x + 16°) and the measure of ∠D is (4x − 5⋅).What is the measure of ∠D?
2.75°
8°
23°
33.8°
Answer:
the measure of ∠D is 8°.
Step-by-step explanation:
Since ∠C and ∠D are vertical angles, they have equal measure. So we can set their measures equal to each other and solve for x:
x + 16° = 4x - 5°
6x = 21°
x = 3.5°
Now we can find the measure of ∠D:
∠D = 4x - 5°
∠D = 4(3.5°) - 5°
∠D = 8°
Therefore, the measure of ∠D is 8°.
What is the median for 5, 7, 24, 3, 6, 4, 4, 30, 19
There is only one middle number because the collection has an odd number of numbers. Since six is the midpoint, six represents the median.
what is median ?When a dataset is sorted from lowest to highest, the median, a measure of central tendency, reflects the midpoint value of the dataset. The values are first presented from lowest to greatest in order to get the median of a set of data. The median is the middle value when there are an odd number of values. Use the following data set as an example: 5, 7, 24, 3, 6, 4, 4, 30, 19. We first organise the data in order before calculating the median: 3, 4, 4, 5, 6, 7, 19, 24, 30
The dataset contains 9 values, which is strange. The middle value, which is six, is therefore the median.
given
We must first arrange the numbers in ascending order in order to determine the median of the group:
3, 4, 4, 5, 6, 7, 19, 24, 30
The median will be the middle number as there are nine numbers in this collection.
There is only one middle number because the collection has an odd number of numbers. Since six is the midpoint, six represents the median.
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ming Math th grade > Assessment Language arts Analytics S.11 Solve two-step equations: word problems D2Y Science 18c+ 4 = 42 4c+18 42 Painted Pots lets customers choose and paint their own pottery. The store has teap multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She a painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery. Which equation can you use to find c, the cost of each teacup? Learn with an example ✓ OF Watch a video > Social studies 4(c + 18) 42 = Recommendations 18(c + 4) = 42
The equation representing the cost of each teacup is given as follows:
4c + 18 = 42.
Hence the cost is of: $6.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the rate of change.b is the y-intercept of the function, which is the initial value.The meaning of the slope and of the intercept for this problem are given as follows:
Slope -> cost per teacup.Intercept: fixed cost.Hence the function is given as follows:
C = xc + 18.
(as the cost of the pot is of $18).
4 teacups push the price up to $42, hence the equation is given as follows:
4c + 18 = 42
4c = 24
c = 6.
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It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 25 feet. (You may find it useful to reference the appropriate table: z table or t table)
a. State the null and the alternative hypotheses for the test. H0: μ = 120; HA: μ ≠ 120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120; HA: μ > 120
b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Find the p-value. 0.05 p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05
c. Use α = 0.01 to determine if the average breaking distance differs from 120 feet.
With a p-value of less than 0.025, we have sufficient evidence to reject the null hypothesis and conclude that the average breaking distance is different from 120 feet, at the 0.01 significance level.
The p-value is a statistical measure that helps us determine the probability of obtaining a result as extreme as the one we observed, assuming that the null hypothesis is true.
In this case, the null hypothesis is that the average breaking distance is 120 feet. The alternative hypothesis is that the average breaking distance is different from 120 feet.
If the p-value is less than the level of significance (0.01 in this case), we can reject the null hypothesis in favor of the alternative hypothesis.
A p-value of less than 0.025 indicates that the probability of obtaining a result as extreme as the one we observed (or more extreme), assuming that the null hypothesis is true, is less than 0.025.
This is a relatively small probability, which provides strong evidence against the null hypothesis. Therefore, we can conclude that the average breaking distance is different from 120 feet.
It is important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true.
It simply means that the evidence suggests that the null hypothesis is unlikely to be true. Further research and analysis may be needed to confirm the alternative hypothesis.
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Graph the circle x²+(y+6)²=4
Use the points to adjust the graph. Moving the center will move the entire figure.
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
what is circle ?A circle in mathematics is a closed form in which every point is situated at an equal distance from the circle's center. The radius of the circle is the distance measured from any location on the circle to its center. The center and radius of a circle, as well as its equation in the coordinate plane, can be used to characterize it. The standard version of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's center and r is its radius.
given
Using the methods below, we can graph the circle x2+(y+6)2=4:
Determine the circle's radius: Since r2 = 4 in the provided equation, r must equal 2.
Plotting locations on the circle can be done by using the equation x2+(y+6)2=4 and changing the value of x to find the value of y. As an illustration, if x = 0, we obtain (y+6)2 = 4, which gives us either y = -8 or y = -4. The points (0, -8) and (0, -4) can now be plotted on the coordinate surface.
Create a circle: Using the radius and center, we can create a circle that passes through the plotted coordinates (0, -8) and (0, -4).
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
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Write a word sentence for the question
x - 14 = 52
Answer:
under quadratic equation of fatorisation
find the closed formula for each of the following sequences by relating them to a well known sequence. assume the first term given is a1. (a) 2; 5; 10; 17; 26; : : : (b) 0; 2; 5; 9; 14; 20; : : : (c) 8; 12; 17; 23; 30; : : : (d) 1; 5; 23; 119; 719; :
a) an = 3n-1 · 2
b) an = 2·n
c) an = 5·n + 8
d) an = 4n-1 · 1
Let's dive deeper into the details below.
(a) The sequence 2, 5, 10, 17, 26 is a geometric sequence with common ratio 3 and a1 = 2. Therefore, the closed formula is an = 3n-1 · 2.
(b) The sequence 0, 2, 5, 9, 14 is an arithmetic sequence with common difference 2 and a1 = 0. Therefore, the closed formula is an = 2·n.
(c) The sequence 8, 12, 17, 23 is an arithmetic sequence with common difference 5 and a1 = 8. Therefore, the closed formula is an = 5·n + 8.
(d) The sequence 1, 5, 23, 119 is a geometric sequence with common ratio 4 and a1 = 1. Therefore, the closed formula is an = 4n-1 · 1.
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Helppppppppppppppppp
Answer:No
Step-by-step explanation:
the support for a basketball hoop forms a right triangle as shown. what is the length, x, of the horizontal portion of the support?
According to Pythagorean Theorem, The length of the horizontal portion of the support, x, is 3.87 feet.
The length of the horizontal portion of the support, x, can be determined by using the Pythagorean Theorem. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of a right triangle and c is the hypotenuse.
In this case, a = 7 feet, b = x, and c = 8 feet. We can use the Pythagorean Theorem to solve for x: 72 + x2 = 82, or 49 + x2 = 64. This can be solved for x to get x2 = 15 and x = √15 ≈ 3.87 feet.
Therefore, the length of the horizontal portion of the support, x, is 3.87 feet.
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HELP ASAP!!!!!!!!!!!!
Which cannot be the angle measurements of triangle ABC?
Measure of angle A = 55 degrees, measure of angle B = 65 degrees, measure of angle C = 60 degrees
Measure of angle A = 60 degrees, measure of angle B = 60 degrees, measure of angle C = 60 degrees
Measure of angle A = 57 degrees, measure of angle B = 58 degrees, measure of angle C = 65 degrees
Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
Answer:
A=61
B=57
C=61
Step-by-step explanation:
The sun of the three angles must give us 180 degrees. so the sum of these three angles is giving us 179 wrong degrees.
An office building casts a shadow that is 15 feet long. A nearby tree casts a showdown that is 2/5 feet long. If the tree is 5 feet tall how tall is the office building.
The height of the office building is 187.5 feet.
What are some other names for height?It is typically measured horizontally along the X-axis. Height is defined as the distance between the bottom and top of an object. In Geometry, it is sometimes referred to as altitude.
Let's call the office building's height h. We can use a proportion to find h:
height of office building / length of shadow cast by office building = height of tree / length of shadow cast by tree
h / 15 = 5 / (2/5)
The right side of the equation can be simplified as follows:
5/(2/5) = 5 * 5/2 = 12.5
When we plug this into the proportion and solve for h, we get:
h / 15 = 5 / (2/5)
h / 15 = 12.5 \sh = 15 * 12.5 \sh = 187.5
As a result, the office building's height is 187.5 feet.
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Please help! Im a struggling depressed student that needs to desperately catch up.
Answer:
25%
Step-by-step explanation:
30/120 = 1/4
1/4 = 25%
if you have minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency?
Yes, if you have minimums and maximums that are several standard deviations away from the rest of the data observations, medians would be the best measure of central tendency.
Having minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency. This is because, when there are outliers or extreme values in a dataset, the mean can be influenced and it may not be an accurate representation of the central tendency.
However, the median is not affected by extreme values or outliers since it only depends on the middle value of the dataset. Therefore, if the dataset has outliers, it is better to use the median as a measure of central tendency to provide a more accurate representation of the data.
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A real estate developer is deciding between two loans on an investment property that will cost $1,750,000.
Option 1: Balloon mortgage with terms of 25/6 at an interest rate of 2.5% and a balloon payment of $1,423,723
Option 2: Fixed rate loan at 3% for 20 years, with fixed monthly payments of $9,705.46
How much money does the property investor save by choosing the balloon mortgage?
A spreadsheet was used to calculate the correct answer.Your answer may vary slightly depending on the technology used.
$236,612.07
$340,329.83
$1,660,335.07
$1,764,502.83
Answer:
The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
Step-by-step explanation:
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.
For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:
$1,750,000 * 3% / (12 * 20) = $63,750
The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.
For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:
($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23
The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.
Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
Answer:
the answe is B
Step-by-step explanation:
The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.
For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:
$1,750,000 * 3% / (12 * 20) = $63,750
The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.
For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:
($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23
The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.
Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.
Figure ABCD is reflected across the x-axis.
What are the coordinates of A' , B' , C' , and D'
Answer: A'(-1,-4)B'(-5,-8)C'(-5,-4)D'(-4,-2)
Step-by-step explanation:
We have been given a graph of a quadrilateral and we are asked to find the coordinates of our quadrilateral after reflecting it across the x-axis.We can see that coordinates of quadrilateral ABCD are:A (-1,4),B (-5,8),C (-5,4),D (-4,2).
Since we know that rule for reflecting an image across x-axis is . This means that y-coordinates of our given image will be negative.So after reflecting our given quadrilateral across x-axis, coordinates will be:
A'(-1,-4)B'(-5,-8)C'(-5,-4)D'(-4,-2)
a doctor prescribes 3 g of a drug, daily, for a patient. the pharmacist has only 750 mg tablets available. how many tablets will the patient take daily?
The patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.
To determine how many tablets the patient needs to take daily, we need to divide the total amount of the drug prescribed by the dose of each tablet.
Since the patient is prescribed 3 grams of the drug daily, we first need to convert this to milligrams (mg), as the tablets are available in milligram form.
1 gram = 1000 milligrams, so 3 grams = 3,000 milligrams
The pharmacist has 750 mg tablets available, so we can calculate the number of tablets the patient needs to take daily by dividing the prescribed dose by the dose of each tablet:
Number of tablets = Prescribed dose ÷ Dose per tablet
Number of tablets = 3,000 mg ÷ 750 mg
Number of tablets = 4
Therefore, the patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.
Therefore, the patient will take 4 tablets daily.
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Valerie is a member of a movie club. She pays a fixed fee of $40 annually. She must pay $6 for every movie she rents. She rented 14 movies this year. What is the total amount that she paid this year
Valerie paid a total amount of $124 this year for her movie club membership and the 14 movies she rented.
What is total amount?In math, the total amount typically refers to the final sum or result of a calculation involving multiple numbers or quantities.
Valerie pays a fixed fee of $40 annually, and she rented 14 movies at a cost of $6 each. Thus, the total amount she paid this year can be calculated as follows:
Total cost of movie rentals = 14 x $6 = $84
Adding the fixed annual fee to the rental costs:
Total amount paid by Valerie this year = $40 + $84 = $124
Therefore, Valerie paid a total of $124 this year for her movie club membership and the 14 movies she rented.
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the least common multiple of k and 720 is 3600. what is the sum of all positive integers k that satisfy this property?
The sum of all positive integers k that satisfy the property is 1800.
To find the sum of all positive integers k that satisfy the property of the least common multiple of k and 720 being 3600, we need to use the concept of prime factorization and LCM. What is LCM?The least common multiple (LCM) of a set of numbers is the smallest number that is a multiple of all the given numbers. It is calculated by taking the common prime factors of the numbers and multiplying them by their highest powers.
Now mentioned in the question that the LCM of k and 720 is 3600. Let's write 720 and 3600 in prime factorization form. 720 = 2⁴ × 3² × 5¹, 3600 = 2³ × 3² × 5²Let LCM of k and 720 be L. So, L = 2⁴ × 3² × 5²Let k = 2ᵃ × 3ᵇ × 5ᶜ. So, LCM of k and 720 = 2ⁿ × 3ᵐ × 5ᴬ, where, n = max (4, a) , m = max (2, b) , A = max (2, c)Given, LCM of k and 720 = 3600.So, 2ⁿ × 3ᵐ × 5ᴬ = 2⁴ × 3² × 5².
As we know, n = max (4, a) , m = max (2, b) , A = max (2, c)Thus, n = 4, m = 2, A = 2. Since, n = max (4, a) , a = 4 is the only possible solution And, m = max (2, b) , b = 2 is the only possible solution, And, A = max (2, c) , c = 2 is the only possible solution.So, the possible value of k is k = 2⁴ × 3² × 5²i.e. k = 1800. Sum of all possible values of k is 1800.Therefore, the sum of all positive integers k that satisfy the property is 1800.
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Solve for x. Round to the nearest tenth, if necessary. Q R S 75 x 9
In order to solve for x in this equation, we must divide 75 by 9. Dividing 75 by 9 gives us 8.3 as the answer. So, x = 8.3.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions, usually containing one or more variables. It is used to describe the relationships between different variables, such as the area of a circle or the slope of a line. Equations can be used to describe the behavior of physical systems, calculate the solutions to problems, and make predictions about future events.
This is happening because when we divide 75 by 9, we are essentially asking "how many 9s go into 75?". 75 divided by 9 is equal to 8.3, meaning 8 and 3/9ths of 9 go into 75. Therefore, x = 8.3.
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In order to solve for x the given equation, we must divide 75 by 9. Dividing 75 by 9 gives us 8.3. So, x = 8.3.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions, usually involving one or more variables. Used to describe relationships between different variables. Area of circle or slope of line. Equations can be used to describe the behavior of physical systems, calculate solutions to problems, and predict future events.
That's because when you divide 75 by 9, you're essentially asking, "How many 9s are there in 75?" 75 divided by 9 is 8.3. So 3/9 of 8 and 9 is 75. So x = 8.3.
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The complete question is as follows:
Solve for x. Round to the nearest tenth, if necessary.
75 = 9x
when individuals are classified into qualitatively different categories, which level of measurement is this?\
When individuals are classified into qualitatively different categories, this is an example of nominal level of measurement.
Nominal level of measurement is the lowest level of measurement in which variables are measured by naming, labeling or categorizing them into different groups without any inherent order or ranking.
Nominal data involves variables that are categorical in nature and cannot be numerically ranked. Examples of nominal variables include gender, race, ethnicity, hair color, eye color, and so on. These variables can be classified into different categories, but they cannot be arranged in any meaningful order or assigned numerical values.
Nominal data is important in many fields, including social sciences, health research, and market research. It allows for the classification of data into different categories or groups based on certain characteristics, which can then be used to analyze patterns and trends.
However, because nominal data cannot be measured in numerical terms, certain statistical analyses, such as mean and standard deviation, are not applicable. Instead, nominal data is often analyzed using measures of frequency, such as percentages and proportions.
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Suppose records indicate that the length of voicemails (in seconds) between a group of friends is normally distributed with a mean of 40 seconds and standard deviation of 10 seconds. Find the probability that a given voicemail is between 10 to 20 or 30 to 40 seconds
Hence, there's a 36.41 percent chance that a voicemail will be between 10 and 20 or 30 and 40 seconds in length.
What are examples and probability?It is based on the possibility that something will actually happen. The basis for theoretical probability is the justification for probability. For example, the theoretical probability of getting a head when flipping a coin is ½.
Calculating the area underneath the normal curve of distribution between the two iterations will allow us to determine the likelihood that a specific voicemail will last between 10 and 20 or 30 and 40 seconds.
The intervals must first be standardized by transforming it into z-scores using following formula:
z = (x - μ) / σ
Where x is the value, we want to convert, μ is the mean of the distribution, and σ is the standard deviation.
For the period of 10 to 20 seconds:
z1 = (10 - 40) / 10 = -3
z2 = (20 - 40) / 10 = -2
For the interval 30 to 40 seconds:
z3 = (30 - 40) / 10 = -1
z4 = (40 - 40) / 10 = 0
The region of the curve between such z-scores can now be calculated or found using a calculator and a standard normally distributed table. As an alternative, we can employ the normal distribution's CDF, or cumulative distribution function.
P(10 ≤ x ≤ 20 or 30 ≤ x ≤ 40) = P(10 ≤ x ≤ 20) + P(30 ≤ x ≤ 40)
P(10 ≤ x ≤ 20) = P(-3 ≤ z ≤ -2) ≈ 0.0228
P(30 ≤ x ≤ 40) = P(-1 ≤ z ≤ 0) ≈ 0.3413
As a result, the likelihood that a voicemail will be between 10 and 20 or 30 and 40 seconds is:
P(10 ≤ x ≤ 20 or 30 ≤ x ≤ 40) ≈ 0.0228 + 0.3413 ≈ 0.3641
A voicemail that is between 10 and 20 or 30 to 40 seconds in length has a 36.41% chance of being left.
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if y = 2, then -3y(1-5)
[tex] \: [/tex]
Solution:-[tex] \rm{-3y( 1 - 5)}[/tex][tex] \: [/tex]
put the value of y = 2 in equation
[tex] \rm \: -3( 2 ) ( 1 - 5 )[/tex][tex] \: [/tex]
[tex] \rm \: -6 ( 1 - 5 )[/tex][tex] \: [/tex]
[tex] \rm \: -6 - 5[/tex][tex] \: [/tex]
[tex] \underline{ \rm{ \red{ \: \: -11 \: \: }}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
what is the answer for 239.3 x 55
Answer:
13,161.5
Step-by-step explanation:
5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5
a patient is purchasing acetaminophen 500 mg tablets over-the-counter and asks the pharmacist how many they can take. what is the maximum number of tablets the pharmacist will tell them they should take of this product per day?
8 is the maximum number of tablets the pharmacist will tell them they should take of this product per day.
According to FDA guidelines, the maximum daily dosage of acetaminophen for healthy adults should not exceed 4,000 milligrams. This equates to a maximum of eight 500 mg tablets per day. It's essential to remember that the recommended dosage may differ based on individual factors such as age, weight, and medical conditions. Therefore, it's crucial to consult with a healthcare provider or licensed pharmacist before taking any medication. Always follow the recommended dosage and avoid exceeding the daily limit to prevent potential health risks associated with acetaminophen overdose.
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begging for help lol pleaseeee
Evaluate (2. 7)3 - (1. 6)3 - (1. 1)3 using a suitable identity. Please answer. Have to submit it tomorrow!!
Evaluating the (2.7)³ - (1.6)³ - (1.1)³ using the suitable identity is given by the term 26.19.
The sum of cubes (of two integers) formula is what is known as the a3 + b3 formula. Without computing the two cubes, the total may be calculated using the a cube + b cube formula. The binomials of cubes are factorised using it as well.
Let a = 2.7, b = 1.6, c = 1.1
We see that,
a + b + c = 2.7 + 1.6 + 1.1 = 5.4
Now as we know that,
If a+b+c = 5.4
then using the identity:
a³ - b³ - c³ = ( a+ b+ c ) (a² + b² + c² - ab - bc - ca) + 3 abc
so,
a³ - b³ - c³ = 5.4(2.7² + 1.6² + 1.1² - 4.32 - 1.76 - 2.97) + 14.256
= 5.4(7.29 + 2.56 + 1.41 - 4.32 - 1.76 - 2.97) + 14.256
a³ - b³ - c³ = 26.19
Therefore, (2.7)³ - (1.6)³ - (1.1)³ is 26.19
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