The probability that a randomly chosen part is defective is 0.16, or 16%.
The probability that a randomly chosen part is defective, we need to use the law of total probability.
Let [tex]$D$[/tex] be the event that a part is defective and let [tex]$M_i$[/tex] be the event that the part came from machine [tex]$i$[/tex], for [tex]$i = A, B, C$[/tex].
Then we have:
[tex]$P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$[/tex]
60% of the products come from machine A, 30% from machine B, and 10% from machine C.
Therefore:
[tex]$P(M_A) = 0.6$[/tex]
[tex]$P(M_B) = 0.3$[/tex]
[tex]$P(M_C) = 0.1$[/tex]
The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.
Therefore:
[tex]$P(D|M_A) = 0.1$[/tex]
[tex]$P(D|M_B) = 0.3$[/tex]
[tex]$P(D|M_C) = 0.4$[/tex]
Substituting these values into the law of total probability, we get:
[tex]$P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$[/tex]
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9) Given f-¹(x)=-3x+2, write an equation
that represents f(x).
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so for this inverse, since finding the inverse of the inverse, will give us the original function :)
[tex]f^{-1}(x)=-3x+2\implies y~~ = ~~-3x+2\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~-3y+2} \\\\\\ x-2=-3y\implies \cfrac{x-2}{-3}=y\implies \cfrac{2-x}{3}=y=f(x)[/tex]
Bernard used a stopwatch to time how many seconds he could balance a spoon on his nose. The first attempt lasted 5 1/3 seconds. The second attempt lasted 5 5/9 seconds. The third attempt lasted 5 1/2 seconds.
Which list orders the times from shortest to longest ?
List orders the times from shortest to longest
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
What is Decimal?A decimal is a way of representing numbers using a base-10 positional notation system, where each digit represents a power of 10. It is written as a whole number followed by a decimal point and a series of digits representing fractions of 1.
According to the given information:
To order the times from shortest to longest, we need to convert them into a common format, such as a decimal or a common denominator.
First, let's convert the times to a common denominator of 9:
5 1/3 seconds = 16/3 seconds = 48/9 seconds
5 5/9 seconds = 50/9 seconds
5 1/2 seconds = 9/2 seconds = 45/9 seconds
Now we can order the times from shortest to longest:
48/9 seconds = 5 1/3 seconds
45/9 seconds = 5 1/2 seconds
50/9 seconds = 5 5/9 seconds
Therefore, the correct list in order from shortest to longest is:
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
So Bernard's first attempt was the shortest, his third attempt was the second longest, and his second attempt was the longest.
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Area of semicircle:
Area of Rectangle:
Total Area:
1. The area of the semi circle is 56.52ft²
2. The area of the rectangle is 228ft²
3. The total area is 284.52ft²
What is area of a shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The area of a semi circle is expressed as;
A = 1/2 πr²
r = d/2 = 12/2 = 6ft
A = 1/2×3.14 × 6²
A = 56.52ft²
therefore the area of the semicircle is 56.52ft²
The area of a rectangle is expressed as;
A = l×w
= 19×12
= 228ft²
therefore the area of the rectangle is 228ft²
The total area = (228+56.52)ft²
= 284.52ft²
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You roll a six sided die 30 times. A 5 is rolled 8 times. What is the theoretical probability of rolling a 5? What is the experimental probability of rolling a 5?
The theoretical and experimental probability of rolling a 5 are 1/6 and 4/15 respectively.
How do we derive the probability?We will calculate the theoretical probability by substituting 30 for the number of favorable outcomes as the die is rolled 30 times with one option each for 30 rolls and 180 for total number of outcomes in theoretical probability formula.
P(Theoretical probability of rolling a 5) = 30/180
P(Theoretical probability of rolling a 5) = 1/6.
The experimental probability is calculated by substituting 8 for the number of time the event occurs and 30 for the total number of trials.
P(Experimental probability of rolling a 5)= 8/30
P(Experimental probability of rolling a 5) =4/15
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you roll a 6-sided dice. what is the probability that you rolled a 5, given that the number rolled was greater than 3?
The probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.
We need to find the probability that you rolled a 5, given that the number rolled was greater than 3. Let's break this down step by step:
1. Identify the total number of outcomes: Since it is a 6-sided dice, there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).
2. Determine the number of outcomes greater than 3: The outcomes greater than 3 are 4, 5, and 6. There are 3 possible outcomes that satisfy this condition.
3. Identify the number of outcomes that result in rolling a 5: There is only 1 outcome that results in rolling a 5.
4. Calculate the probability: To find the probability, divide the number of outcomes that result in rolling a 5 (1) by the total number of outcomes greater than 3 (3).
Probability = (Number of outcomes with a 5) / (Number of outcomes greater than 3) = 1/3
So, the probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.
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The probability that the number rolled was a 5, given that it was greater than 3, is [tex]$\frac{1}{3}$[/tex].
The number rolled was greater than 3, it must be either a 4, 5, or 6.
The probability that the number rolled was a 5, given that it was greater than 3.
Let [tex]$A$[/tex] be the event that the number rolled is a 5 and let [tex]$B$[/tex] be the event that the number rolled is greater than 3.
Then, we want to find. [tex]$P(A|B)$[/tex], the probability of [tex]$A$[/tex] given [tex]$B$[/tex].
By Bayes' theorem, we have:
Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event.
The risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately by conditioning it relative to their age, rather than simply assuming that the individual is typical of the population as a whole.
One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference.
The probabilities involved in the theorem may have different probability interpretations.
Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence.
Bayesian inference is fundamental to Bayesian statistics, being considered by one authority as; "to the theory of probability what Pythagoras's theorem is to geometry."
[tex]$P(A|B) = \frac{P(B|A)P(A)}{P(B)}$[/tex]
[tex]$P(A) = \frac{1}{6}$[/tex], since there is only one way to roll a 5 on a 6-sided die.
[tex]$P(B) = \frac{3}{6} = \frac{1}{2}$[/tex], since there are three outcomes (4, 5, or 6) that satisfy. [tex]$B$[/tex], out of a total of six possible outcomes.
[tex]$P(B|A)$[/tex], the probability of rolling a number greater than 3, given that the number rolled is a 5, note that. [tex]$B$[/tex] is true only if the number rolled is a 4, 5, or 6.
Since there is only one way to roll a 5, and only one of these three outcomes satisfies. [tex]$A$[/tex], we have:
[tex]$P(B|A) = \frac{1}{1} = 1$[/tex]
Substituting these values into Bayes' theorem, we get:
[tex]$P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{1 \cdot \frac{1}{6}}{\frac{1}{2}} = \frac{1}{3}$[/tex]
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Round the number. Write the result as the product of a single digit and a power of 10.
4,241,933,200
The right triangle shown is enlarged such that each side is multiplied by the value of the hypotenuse, 3y. Find the expression that represents the perimeter of the enlarged triangle. TRIANGLE AND ANSWER CHOICES BELOW!
Answer:
c.
Step-by-step explanation:
The original triangle has two sides with length 4x each, and the hypotenuse has length 3y.
After the enlargement, each of the sides with length 4x becomes 3y × 4x = 12xy, and the hypotenuse becomes 3y × 3y = 9y^2.
Therefore, the perimeter of the enlarged triangle is the sum of the lengths of its three sides:
12xy + 12xy + 9y^2 = 24xy + 9y^2 = 9y^2 + 24xy
So the answer is (C) 9y^2 + 24xy.
Slope-intercept (0, -2) , (9,1)
find the average rate of change of the car's position on the interval . include units on your answer.
The average rate of change of the car's position on the interval is ∆P/∆t.
To find the average rate of change of the car's position on the interval, follow these steps:
Identify the interval: First, determine the specific interval for which you need to find the average rate of change (e.g.,
between times t1 and t2).
Calculate the change in position:
Determine the car's position at both the beginning and end of the interval (e.g., positions P1 and P2).
Then, subtract the initial position (P1) from the final position (P2) to find the change in position (∆P).
Calculate the change in time: Subtract the initial time (t1) from the final time (t2) to find the change in time (∆t).
Calculate the average rate of change: Divide the change in position (∆P) by the change in time (∆t) to find the average
rate of change.
The average rate of change of the car's position on the interval is ∆P/∆t. Include units in your answer (e.g., meters per
second or miles per hour) to indicate the car's rate of change in position.
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Can someone help me pls!!!
Answer: Yes
Step-by-step explanation: SSS criteria
Interpret the probability. In 100 trials of this experiment, it is expected about (Round to the nearest whole number as needed.) to result in exactly 15 flights being on time
Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.
What is the probability?The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.
What is the trials?when we refer to an experiment or trial, we mean a random experiment. When difference between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.
Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.
according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.
The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,
E(X) = n p = 15 n = 100
p = [tex]\frac{E(X)}{n} = \frac{15}{100}[/tex] = 0.15
Therefore, it is probability that 0.15 %of flights will arrive on time.
To determine the expected number of trials from a total of 100
Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:
[tex]P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}[/tex]
We can calculate this 0.144 get using a calculator.
therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.
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Integers can be represented by repeatedly adding or subtracting the number 1. For example, the integer 3 can be represented as 0 + 1 + 1 + 1, and the integer -3 can be represented as 0 - 1 - 1 - 1. Hence, the definition "an integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is true.
"An integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is not entirely true.
True that integers can be represented by repeatedly adding or subtracting the number 1,
The fact that integers can also be negative and can be obtained by repeatedly subtracting 1 from 0 or another negative integer.
The definition does not account for the fact that integers can be represented using other operations, such as multiplication or division. The integer 12 can be represented as 4 x 3 or as 24 ÷ 2.
A more accurate definition of an integer is a whole number that can be positive, negative, or zero.
Integers can be represented using addition, subtraction, multiplication, or division, and can be used to represent quantities such as counts, distances, temperatures, and other measurable quantities.
The original definition is a useful way to understand how integers can be represented using addition and subtraction, it is not a complete or entirely accurate definition of what integers are.
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an x(bar) chart has a center line of 100, uses three-sigma control limits, and is based on a sample size of four. the process standard deviation is known to be six. if the process mean shifts from 100 to 92, what is the probability of detecting this shift on the first sample following the shift?
The probability of detecting this shift on the first sample following the shift would be 68.3%.
The probability of detecting can be calculated by taking the difference between the sample mean and the new process mean (92-100 = -8) and dividing it by the process standard deviation (6).
The result is -1.33, which is then used to calculate the probability of a sample mean falling within the three-sigma control limits.
The difference between the sample mean and the new process mean (92-100 = -8).
The difference by the process standard deviation (6).
The result is -1.33.
The number to calculate the probability of a sample mean falling within the three-sigma control limits.
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Madison made the following table to record the height of each person in her family. About how much taller is her mom than Jade? Be sure to round to the nearest half or whole.
{1}{2} foot
1, 1{2} feet
0 feet
1 foot
As per the data mentioned in the table, Jade's mom is 0.7 ft or 1 ft taller than jade.
Describe mixed fractions.Mixed numbers represent whole numbers and proper fractions together. Usually represents a number between any two integers. Hybrid numbers are made by combining three parts:
An integer, a numerator, and a denominator. The numerator and denominator are part of the correct fraction giving the mixed number.
Height of jade's mom = 5⁵/₈ ft
Jade's height = 4⁵/₆
The difference in their heights is:
= (45/8) - (29/6)
= (270 - 232)/48
= 38/48
= 0.7 ft
0.7 ft ≈ 1 ft
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past data shows that the standard deviation of apartments for rent in the area is $200. suppose we want a 98% confidence interval with margin of error of 50. what sample size do we need?
A sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50.
How to calculate sample size?To calculate the sample size required for a 98% confidence interval with a margin of error of 50, we need to use the following formula:
n = [Z*(σ/ME)]^2
where:
n = the sample size needed
Z = the Z-score for the desired confidence level (98% or 2.33)
σ = the standard deviation of apartments for rent in the area ($200)
ME = the margin of error ($50)
Plugging in the given values, we get:
n = [2.33*(200/50)]^2
n = [9.32]^2
n ≈ 86.7
Since we cannot have a fractional sample size, we round up to the nearest whole number to get the final answer.
Therefore, a sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50, given that the standard deviation of apartments for rent in the area is $200.
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A bottle of water that is 80°F is placed in a cooler full of ice. The temperature of the water decreases by 0. 5°F every minute. What is the temperature of the water, in degrees Fahrenheit, after 5 1/2
minutes? Express your answer as a decimal
After 5 and a half minutes, the temperature of the water will be 77°F.
In this scenario, we are given that the initial temperature of the water is 80°F. We also know that the temperature of the water decreases by 0.5°F every minute. We want to find out what the temperature of the water will be after 5 and a half minutes.
To solve this problem, we need to use a bit of math. We know that the temperature of the water is decreasing by 0.5°F every minute. So after 1 minute, the temperature of the water will be 80°F - 0.5°F = 79.5°F. After 2 minutes, the temperature will be 79.5°F - 0.5°F = 79°F. We can continue this pattern to find the temperature after 5 and a half minutes.
After 5 minutes, the temperature of the water will be 80°F - (0.5°F x 5) = 77.5°F. And after another half minute (or 0.5 minutes), the temperature will decrease by another 0.5°F, so the temperature will be 77.5°F - 0.5°F = 77°F.
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What is the dividend yield on Stock A that sells at
$20/share, when Company A pays a quarterly
dividend of $0.10 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
The calculated value of the dividend yield on Stock A is 2%.
Calculating the dividend yield on the StockThe dividend yield is a ratio that indicates how much a company pays out in dividends relative to its stock price.
To calculate the dividend yield on Stock A, we need to divide the annual dividend per share by the stock price per share and then multiply by 100 to express it as a percentage.
Annual dividend per share = Quarterly dividend per share x 4
Annual dividend per share = $0.10 x 4 = $0.40
Now, we can calculate the dividend yield on Stock A:
Dividend yield = Annual dividend per share / Stock price per share x 100%
Dividend yield = $0.40 / $20 x 100%
Dividend yield = 2%
Therefore, the dividend yield on Stock A is 2%.
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Mr. Lowe is a school librarian. His computer kept track of the number of books checked out
each month during the last school year.
Books checked out
4,247. 4,983. 6,214. 7,500. 3,500. 2,500. 5,000. 3,876. 4,753. 2,712.
Which box plot represents the data?
Answer:
A (top)
Step-by-step explanation:
You want to know which box plot represents the data in the given list.
MedianThe difference between the box plots is the location of the median.
When the data is sorted into order, it is ...
{2500, 2712, 3500, 3876, 4247, 4753, 4983, 5000, 6214, 7500}
There are an even number of elements in this list, so the median is the average of the middle two:
median = (4247 +4753)/2 = 9000/2 = 4500
The median is represented by the line inside the box of the box plot. The plot with its median at 4500 is the top one (shown in the attachment).
The top box plot represents the data.
<95141404393>
a prism has three rectangular faces. its other faces are in the shape of
Answer: All the faces are rectangular.
Step-by-step explanation: A prism with three rectangular faces is called a rectangular prism. Therefore, the other faces are in the shape of rectangles.
3. Technology required. Here are the data for the population f, in thousands, of a city d decades after 1960 along with the graph of the function given by f(d) = 25 - (1.19)ª. Elena thinks that shifting the graph off up by 50 will match the data. Han thinks that shifting the graph of f up by 60 and then right by 1 will match the data. a. What functions define Elena's and Han's graphs? b. Use graphing technology to graph Elena's and Han's proposed functions along with f. population (thousands) c. Which graph do you think fits the data better? Explain your reasoning.
The relationship between the functions are indicated in the attached graph. see further explanation below.
a. Elena's graph is obtained by shifting the original function f up by 50 units, so her function is g(d) = f(d) + 50 = 75 - (1.19)ª.
Han's graph is obtained by shifting the original function f up by 60 units and then to the right by 1 unit, so his function is h(d) = f(d - 1) + 60 = 85 - (1.19)^(a-1).
b. Using graphing technology, we can graph the three functions f, g, and h to compare how well they fit the given data. Here's an example graph:
graph of f, g, and h
c. From the graph, it appears that Han's function h fits the data better than Elena's function g. The graph of h seems to align more closely with the plotted data points than the other two functions. Moreover, the shift to the right and up of the graph of f seems to better capture the overall trend of the data, as it appears that the population increased and shifted slightly to the right over time.
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a motor boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when traveling at 12 miles per hour. what was the length in miles of the lake?
The length of the lake in miles for the given situation of travelling motor boat is equal to 9 miles.
Let us consider the length of the lake be d in miles.
Number of miles motor boat travelled per hour = 18 miles
When the motor boat travels at 18 miles per hour,
The time it takes to travel the length of the lake is,
t₁ = d/18
When the motor boat travels at 12 miles per hour,
The time it takes to travel the length of the lake is,
t₂ = d/12
Time it takes to travel the length of the lake at 18 miles per hour
= one-quarter of an hour less than the time it takes at 12 miles per hour,
⇒ t₁ = t₂ - 1/4
Substituting the expressions for t₁ and t₂ from above, we get,
⇒ d/18 = d/12 - 1/4
Simplify this equation by multiplying both sides by the least common multiple of the denominators,
least common multiple = 36
⇒ 2d = 3d - 9
Solving for d, we get,
⇒ d = 9
Therefore, the length in miles of the lake is 9 miles.
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1. suppose we know that the average weight of coyotes is 14.5kg with a standard deviation of 4kg. what is the probability of trapping a coyote that is 17kg or larger?
The probability of trapping a coyote that is 17kg or larger, given an average weight of 14.5kg and a standard deviation of 4kg is approximately 0.2743 or 27.43%.
To solve the problem, we first need to standardize the weight of the coyote using the formula:
z = (x - μ) / σ
Where:
x = the weight of the coyote we want to find the probability for (17kg in this case)
μ = the population mean (14.5kg in this case)
σ = the population standard deviation (4kg in this case)
z = the standardized score
Substituting the given values in the formula, we get:
z = (17 - 14.5) / 4
z = 0.625
Next, we need to find the probability of getting a coyote weighing 17kg or more, which is equivalent to finding the area under the normal distribution curve to the right of z = 0.625. We can use a standard normal distribution table or a calculator to find this probability.
Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the area under the curve to the left of a specified z-score. Since we want the area to the right of z = 0.625, we can subtract the CDF from 1 to get the area to the right.
Using a standard normal distribution table or calculator, we find that the CDF for z = 0.625 is approximately 0.734. Therefore, the area to the right of z = 0.625 is 1 - 0.734 = 0.266 or 26.6%.
Thus, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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Using a standard normal distribution table or a calculator, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
What exactly is a standard normal distribution?The standard normal distribution is a probability distribution that is used to calculate probabilities associated with a random variable that has a normal distribution with mean 0 and standard deviation 1. Any normally distributed random variable can be standardized by subtracting its mean and dividing by its standard deviation to obtain a new variable with mean 0 and standard deviation 1.
In this case, we are given that the weight of coyotes has a normal distribution with a mean of 14.5kg and a standard deviation of 4kg. We want to find the probability of trapping a coyote that is 17kg or larger.
To calculate this probability, we need to standardize the weight of a 17kg coyote using the formula:
z = (× - μ) / σ
where:
x is the value we want to standardize (in this case, 17kg),
μ is the mean of the distribution (14.5kg),
σ is the standard deviation of the distribution (4kg).
Substituting the values we have:
[tex]z =\frac{(17 - 14.5)}{4} = 0.625[/tex]
This value of 0.625 is the z-score for a coyote weighing 17kg. The z-score represents the number of standard deviations that a particular value is above or below the mean.
Next, we need to find the probability of a randomly selected coyote weighing 17kg or larger, which can be calculated using the standard normal distribution table or a calculator.
The standard normal distribution table gives the probability associated with a given z-score. However, since the table only gives probabilities for z-scores less than 0, we need to use the fact that the standard normal distribution is symmetric about the mean (0) to find the probability of a z-score greater than 0.625.
Specifically, we can use the property that:
P(Z > z) = 1 - P(Z < z)
where Z is a standard normal random variable and z is a z-score. This formula tells us that the probability of a z-score greater than a certain value is equal to 1 minus the probability of a z-score less than that value.
Using this formula, we can calculate:
P(Z > 0.625) = 1 - P(Z < 0.625)
We can look up the value of P(Z < 0.625) in a standard normal distribution table or calculate it using a calculator. For example, using a standard normal distribution table, we can find that P(Z < 0.625) = 0.734.
Substituting this value into the formula, we get:
P(Z > 0.625) = 1 - 0.734 = 0.266
Therefore, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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what is inches to feet
Answer: 12 inches is one foot
Step-by-step explanation: hope that this is what you were asking ;)
Write an inequality relating the given side lengths. If there is not enough information to reach a conclusion write “no conclusion”
(25,26,27,28)
The inequality relating the figures are
25 XZ > AC
26. DF < FD
27. 38 > x > 11
28. 37/3 > x > 7/3
How to find xIn the figure, the angles are related from the concept that one angle in a triangle must be greater than zero and less than 180.
In addition, when other dimensions are equal the side having greater length will have greater angle facing it.
27. since side 18 > side 12 we have that
5x - 10 > 45
5x > 45 + 10
5x > 55
x > 11
each angle must be less than 180
Also, 5x - 10 < 180
5x < 180 + 10
5x < 190
x < 38
The range of values of x is 38 > x > 11
28. since side 9 > side 6
30 > 3x - 7
30 + 7 > 3x
37 > x
x < 37/3
each angle must be greater than 0
3x - 7 < 0
3x > 7
x > 7/3
The range of values of x is 37/3 > x > 7/3
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select the location -2 and -9 on the number line. select the places on the number line to plot the points.
-2: | -2 |
-9: | -9 |
Kiran swims z laps in the pool. Clare swims 18 laps, which is 9/5
times as many laps as Kiran. How many laps did Kiran swim?
Equation:
Solution: z=
we use linear equation in one variable to solve the problem. Kiran swam 10 laps in the pool.
Let's represent the number of laps Kiran swam as "z".
We know that Clare swam 18 laps, which is 9/5 times as many laps as Kiran. We can represent this relationship with the following equation:
18 = (9/5)z
To solve for z, we can isolate it by multiplying both sides of the equation by the reciprocal of 9/5, which is 5/9:
18 * (5/9) = (9/5)z * (5/9)
10 = z
Therefore, Kiran swam 10 laps in the pool.
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I need some help please
Answer: it is 3/2x x + 0
Step-by-step explanation:
you do rise over run which is 3 up and 2 over in this case. and the 0 is the y intercept but its at the center also known as the origin so its 0
Answer:
Step-by-step explanation:
a p-value a. can be positive or negative. b. is a probability. c. can be smaller than 0 but no larger than 1. d. can be larger than 1 but no smaller than 0. e. can only range in value from -1 to 1.
A p-value is a probability.
A p-value is the probability of obtaining a test statistic as extreme or more extreme.
The observed value, assuming the null hypothesis is true.
It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.
A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.
A p-value also cannot be larger than 1, as it represents a probability.
A probability cannot exceed 1.
Finally, a p-value cannot be smaller than 0, as it represents a probability.
A probability cannot be negative.
the correct option is b. is a probability.
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2. Find the area of the circle. Use 3.14 for r. Round to the nearest unit.
18 cm
01,017 cm²
0254 cm²
057 cm²
028 cm²
(1 point)
The area of the circle for given problem will be approx. 254 [tex]cm^2[/tex].
How to find the area of circle?The formula for finding the area of a circle is given by:
Area =[tex]\pi* r^2[/tex]
where "π" (pi) is a mathematical constant approximately equal to 3.14159, and "r" represents the radius of the circle.
Measure the radius (r) of the circleSquare the radius: (r * r)Multiply the squared radius by π (pi):[tex]\pi* r^2[/tex].The result is the area of the circle.Given,
Find the radius (r) of the circle. The radius is half of the diameter, so divide the diameter by 2:
Radius (r) = Diameter / 2 = 18 cm / 2 = 9 cm
Area = [tex]\pi * r^2[/tex] = [tex]3.14*(9 \;cm)^2[/tex] = [tex]254.34 \;cm^2[/tex] (rounded to two decimal places)
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Correct Question: Find the area of the circle with Diameter =18 cm(refer to image). Use 3.14 for π.( Round to the nearest unit).
Write the equation for the following graph.
Step-by-step explanation:
the equation for the following graph os (-3,-5) & (1,1)