In order to find the probability that the participant lifts weights given they don't run, you would need to know these probabilities from the survey data.
To answer this question, we need to use the concept of conditional probability. We are given that a randomly selected survey participant does not run, and we want to find the probability that the participant lifts weights.
Let's denote the events as follows:
- R: The participant runs
- W: The participant lifts weights
We are given that the participant does not run, which means we are looking at the event ¬R (not R).
Now, we want to find the probability of the participant lifting weights given that they do not run. This can be represented as P(W | ¬R).
Using the formula for conditional probability, we have:
P(W | ¬R) = P(W ∩ ¬R) / P(¬R)
Unfortunately, we don't have the specific probabilities for these events (P(W ∩ ¬R) and P(¬R)). In order to find the probability that the participant lifts weights given they don't run, you would need to know these probabilities from the survey data. Once you have that information, you can use the formula above to find the probability.
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In order to find the probability that the participant lifts weights given they don't run, you would need to know these probabilities from the survey data.
we need to use the concept of conditional probability. We are given that a randomly selected survey participant does not run, and we want to find the probability that the participant lifts weights.
Let's denote the events as follows:
- R: The participant runs
- W: The participant lifts weights
We are given that the participant does not run, which means we are looking at the event ¬R (not R).
Now, we want to find the probability of the participant lifting weights given that they do not run. This can be represented as P(W | ¬R).
Using the formula for conditional probability, we have:
P(W | ¬R) = P(W ∩ ¬R) / P(¬R)
Unfortunately, we don't have the specific probabilities for these events (P(W ∩ ¬R) and P(¬R)). In order to find the probability that the participant lifts weights given they don't run, you would need to know these probabilities from the survey data. Once you have that information, you can use the formula above to find the probability.
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Josh can long-jump 195% of his height with a running start. If Josh is 66 inches tall, how far can he long-jump?
Answer: 128.7 inches
Step-by-step explanation:
Josh's height is 66 inches.
When he jumps with a running start, he can jump as far as 195% of his height.
The length he can jump is therefore 195% multiplied by his height:
= Josh height * 195%
= 66 * 195/100
= 128.7 inches
Answer: 128.7
Step-by-step explanation: I've done this question before
Addison works at a pet store.she worked less than 40 hours last week
Answer:
I'm unsure of what you want solved.
Step-by-step explanation:
Answer:
n< 40
Step-by-step explanation:
can someone please answer this?
Answer:
12.85, or 13
Step-by-step explanation:
The formula for the volume of a cone is V=πr²ʰ⁄₃
Just simply plug in the volume for the radius, 1.9, and the height, 3.4
What is the effect on total liabilities when a company buys a building in exchange for a 20-year note payable?
When a company purchases a building in exchange for a 20-year note payable, the effect on total liabilities is an increase by the value of the note payable.
When a company acquires a building through a 20-year note payable, it means that the company agrees to make regular payments over the course of 20 years to the seller or a lending institution. This transaction has a direct impact on the company's balance sheet, specifically on the liabilities side. The note payable represents a long-term liability for the company, as it is a debt that needs to be repaid over an extended period.
Upon the purchase of the building, the company records an increase in the building asset account to reflect the acquisition. Simultaneously, the company recognizes a corresponding increase in the note payable account on the liabilities side. This increase in the note payable represents the amount owed by the company for the building purchase. As a result, the total liabilities of the company rise by the value of the note payable.
It is important to note that the company will also incur interest expenses over the 20-year period, which will further impact its financial statements. The interest expense associated with the note payable will be recorded periodically, typically on a monthly or annual basis, depending on the terms of the agreement. This interest expense will be recognized in the income statement and will result in additional costs for the company over the life of the loan. However, the initial effect on total liabilities is primarily the increase in the note payable, representing the outstanding balance owed on the building purchase.
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What is the image of (-4,4) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(-1,1)
Step-by-step explanation:
1/4 (-4) = -1
1/4(4) = 1
(-1,1)
How do you do 80% off of $120?
Which of the following can tell us the variation of data within a group of samples? (Check all correct options)
a. T-value
b. Variance
c. Standard deviation
d. Mean
Variance and Standard deviation can tell us the variation of data within a group of samples.
What is a variance?
Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.
In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.
A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.
What is Standard deviation?
The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.
It is used in statistics to measure how tightly a set of data is clustered around its mean.
What is Mean?
The average value of a group of numbers is referred to as the mean.
It is calculated by adding all of the numbers together and then dividing by the total number of numbers.
What is T-value?
The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.
The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.
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Overview
Question Progress
Homework Progress
6/23
Work out the surface area of this sphere.
Give your answer to 1 decimal place
2.6 cm
Spheres
Surface area
An
+cm
Submit Answer
The surface area of this sphere is equal to 21.2 cm².
How to calculate the surface area of a sphere?In Mathematics and Geometry, the surface area of a sphere can be calculated by using the following mathematical equation (formula):
Surface area of a sphere, S = 4πr²
Where:
r represents the radius.
By substituting the given radius into the formula for the surface area of a sphere, we have the following;
Surface area of a sphere, S = 4πr²
Surface area of a sphere, S = 3.14 × 2.6²
Surface area of a sphere, S = 3.14 × 6.76
Surface area of a sphere, S = 21.2 cm²
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Below are two parallel lines with a third line intersecting them.
34°
Answer:
x = 34°
Step-by-step explanation:
corresponding angles made by a transversal intersecting parallel lines are congruent.
An article reported on a school​ district's magnet school programs. Of the 1928 qualified​ applicants, 986 were​ accepted, 297 were​ waitlisted, and 645 were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.
51.1% of the qualified applicants were accepted into the magnet school programs, 15.4% were waitlisted, and 33.5% were turned away due to a lack of space.
To find the relative frequency for each decision made by the school district's magnet school programs, we need to divide the number of applicants for each decision by the total number of qualified applicants.
Accepted applicants: 986 / 1928 = 0.511 or 51.1%
Waitlisted applicants: 297 / 1928 = 0.154 or 15.4%
Turned away applicants: 645 / 1928 = 0.335 or 33.5%
In summary, 51.1% of the qualified applicants were accepted into the magnet school programs, 15.4% were waitlisted, and 33.5% were turned away due to a lack of space.
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If the median house price in your area is $350,000, and the 30 -year mortgage rate is %5, how expensive of a house can you afford if you have a downpayment of $15,000. Assume you make $90,000 a year.
With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.
To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.
First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.
Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.
Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.
To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.
As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.
Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.
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The diagonal of a rectangle is 18 cm 18cm more than its width. The length of the same rectangle is 9cm more than its width. Determine the width and length of the rectangle.
The width and length of the rectangle is 27 cm and 36 cm. respectively.
To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).
Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9
Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²
Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0
We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0
w = 27 or w = -9
The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36
Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.
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Please answer this! I could not figure it out. Neither could my classmates.
Answer:
\(\sf \boxed{\sf D) \ \sf -\frac{5}{3} }\)
Explanation:
\(\rightarrow \sf 3x - 5y = -10\)
\(\rightarrow \sf - 5y = -10-3x\)
\(\rightarrow \sf y = \dfrac{-10-3x}{-5}\)
\(\rightarrow \sf y= \dfrac{3}{5} x+2\)
Comparing it with slope intercept formula: y = mx + b
where m is the slope, b is y interceptIdentify the slope for this function:
\(\cdot \ \sf slope \ (m) : \dfrac{3}{5}\)
Then perpendicular slope shall be negatively inverse:
\(\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}\)
Answer:
D
Step-by-step explanation: i got it right
Question 8 OT 10
A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
A. 4 houses/3 owners/2 garages
B. 4 bedrooms/3 bathrooms/2-car garage
C. 4 bedrooms/3 bathrooms/2 pools
Ο Ο
D. 4 bathrooms/3 bedrooms/2-car garage
SUBMIT
Answer: 4 bedrooms/3 bathrooms/2-car garage
Step-by-step explanation: just did it yw
please help, geometry!!!!!
Answer:
dddeeeeded
Step-by-step explanation:
duddeeeeee 1+1=2 2+2=4 4+4=8
i hope this helps
Help NOW please 20 points! File Attached!!!!! help its timed!
Answer:
29
Step-by-step explanation:
Since M is the midpoint of line AB, you can set the two expressions equal to eachother 4x + 13 = 3x + 17. Simplifying it, you get x = 4. To find BM, plug 4 into the equation 3x + 17 = 3*4 + 17 which gets you 12 + 17 = 29.
Solve for the variable.
Answer:
x=9
Step-by-step explanation:
Divide each side by 8^2
When you divide two numbers when they have the same base, you can subtract them.
So 8^x=8^9
so x=9
Answer:
x=8 to the power of 9 or 8^9
Step-by-step explanation:
when you are multiplying the numbers with powers you need to add the powers and when dividing, you should take our powers by subtraction.
That is the rule you must always remember:
multiply--add
divide--subtract
the answer is option b
Answer:
the answer to what?
Step-by-step explanation:
I'm sorry but confused on what the question is?
A+company+packed+8+dark+chocolates+in+a+box+of+32+assorted+chocolates.+which+of+these+does+not+represent+inferential+statistics?+a.)+25%+of+the+chocol
Answer:
it is 3
Step-by-step explanation:
beacuse i did it
Solve the problem
3 x 5/8
Answer:
1.87500
Step-by-step explanation:
Suppose you have a data set with 9 distinct observations. if the largest number in the data set increases the standard deviation will:___________
If the largest number in the data set increases the standard deviation will increase.
Let us suppose that we are given a data set with 9 distinct observations.
It is given that the largest number in the data set increases.
We know that,
Standard deviation = \(\sqrt{ \frac{sum[(X-m)^{2}]}{N}}\)
Where,
X = Element of data set
m = mean of the data set
N = number of elements in the data set
Let us consider our data set to be:-
1,2,3,4,5,6,7,8,9
Here,
Mean, m = (1+2+3+4+5+6+7+8+9)/9 = 45/9 = 5
Hence,
\(sum(X-m)^{2}=(1-5)^{2}+(2-5)^{2}+(3-5)^{2}+(4-5)^{2}+(5-5)^{0}+(6-5)^{2}+(7-5)^{2}+(8-5)^{2}+(9-5)^{2} = 16+9+4+1+0+1+4+9+16=60\)
N = 9
Hence
Standard deviation = \(\sqrt{\frac{60}{9} }=\sqrt{\frac{20}{3} } =2.58 (approximately)\)
Now, let the largest element of the set that is 9 increases to 18.
Hence,
Mean , m = (1 +2+3+4+5+6+7+8+18)/9 = 54/9 = 6
N = 9
\(sum(X-m)^{2}=(1-6)^{2}+(2-6)^{2}+(3-6)^{2}+(4-6)^{2}+(5-6)^{0}+(6-6)^{2}+(7-6)^{2}+(8-6)^{2}+(18-6)^{2} = 25+16+9+4+1+0+1+4+144=206\)
Standard deviation = \(\sqrt{\frac{206}{9} }=4.78(approximately)\)
Hence, we can clearly see that the standard deviation increases.
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the radius of a circle is increasing at a rate of 8 centimeters per minute. find the rate of change of the area when the radius is 2 centimeters.
The rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute.
To find the rate of change of the area of a circle with respect to its radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.
We are given that the radius is increasing at a rate of 8 centimeters per minute, so we can express this as dr/dt = 8 cm/min.
To find the rate of change of the area when the radius is 2 centimeters, we need to differentiate the area formula with respect to the radius:
dA/dt = d/dt (πr²)
Using the chain rule, we have:
dA/dt = dA/dr * dr/dt
Since we want to find the rate of change of the area when the radius is 2 centimeters, we substitute r = 2 into the derivative:
dA/dt = dA/dr * dr/dt = (π(2)²) * 8 = 4π * 8 = 32π
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Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.)
∑_(n=1)^[infinity]▒1/9^n lim┬(n→[infinity])√(n&∂_n ) =
O converges
O diverges
O inconclusive
Need Help? Read It Watch It Talk to a Tutor Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.)
∑_(n=1)^[infinity]▒1/n^n lim┬(n→[infinity])√(n&∂_n ) =
O converges
O diverges
O inconclusive
For the series ∑(n=1)∞ \(1/9^n\), the Root Test indicates that it converges.
For the series ∑(n=1)∞ \(1/n^n\), the Root Test indicates that it converges.
The Root Test is used to determine the convergence or divergence of a series by examining the limit of the nth root of the absolute value of its terms. If the limit is less than 1, the series converges; if it is greater than 1, the series diverges; and if it is equal to 1 or inconclusive, the test does not provide a definitive result.
For the series ∑(n=1)∞ 1/9^n, we apply the Root Test by calculating the limit of the nth root of the absolute value of the terms:
lim┬(n→∞)√\((|1/9^n|)\) = lim┬(n→∞)\((1/9)^(1/n) = 1/9\)
Since the limit is less than 1, specifically 1/9, the Root Test tells us that the series ∑(n=1)∞ 1/9^n converges. Therefore, the correct answer is "O converges."
Similarly, for the series ∑(n=1)∞ \(1/n^n\), we evaluate the limit:
lim┬(n→∞)√\((|1/n^n|)\) = lim┬(n→∞)\((1/n^n)\)= 0
Since the limit is 0, which is less than 1, the Root Test tells us that the series ∑(n=1)∞ 1/n^n converges. Therefore, the correct answer is "O converges."
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AXY Z with vertices X(1,1),Y (3,5), and Z(5, 1) will be rotated 180°about the origin. What will be the coordinates of
Y'?
Answer:
(-3,-5)
Step-by-step explanation:
When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive
a. Find the value of that maximizes the area of the figure.
(12-4x) ft
12 ft
b. Find the maximum area.
The maximum area is
(x + 2) ft
square feet.
Step-by-step explanation:
Area of trapezoid height x average of bases
area = (x+2) * ( 12-4x + 12)/2
= (x+2) (12-2x) = 12x -2x^2 +24 -4x
area = -2x^2 +8x+24 will be a maximum at x = - b/2a = -8/(2*-2) = 2
x=2
Max area = 32 ft^2
Which of the following correlation coefficients indicates the strongest relationship between two variables? a.−1.0 b. 0.80 c.0.1 d.−0.45
The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.
The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.
In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.
Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.
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A die is rolled 300 times; it lands five 58 times. We are interested in knowing if this evidence is significant enough to conclude that the die is not fairly balanced. a) State the Null and Alternative hypothesis. b) Draw the picture to state the rejection region for a significance level of 0.01. c) Find the Test statistics value z. d) Find the z-critical value(s). e) Decide whether the Null hypothesis should be rejected.
Based on the given information, the Null hypothesis is that the die is fairly balanced, while the Alternative hypothesis is that the die is not fairly balanced. Using a significance level of 0.01, the rejection region is in the tails of the distribution, where the z-score is less than -2.33 or greater than 2.33.
The calculated test statistic value z is 3.27, which is greater than the z-critical value of 2.33. Therefore, the Null hypothesis can be rejected, and it can be concluded that the die is not fairly balanced. The Null hypothesis (H0) is that the die is fairly balanced, and the Alternative hypothesis (Ha) is that the die is not fairly balanced. The evidence presented in the problem is that the die lands on five 58 times out of 300 rolls. To determine whether this evidence is significant enough to reject the Null hypothesis, a significance level needs to be chosen. In this case, a significance level of 0.01 is used. The rejection region for this significance level is in the tails of the distribution, where the z-score is less than -2.33 or greater than 2.33.
To calculate the test statistic value z, the formula z = (x - μ) / (σ / \(\sqrt{n}\)) is used, where x is the observed frequency (58), μ is the expected frequency (50, assuming a fair die), σ is the standard deviation \(\sqrt{npq}\), where p=q=1/6 and n=300), and n is the sample size (300). The calculated test statistic value z is 3.27, which is greater than the z-critical value of 2.33. This means that the evidence presented in the problem is significant enough to reject the Null hypothesis. Therefore, it can be concluded that the die is not fairly balanced, based on the evidence presented in the problem. It is important to note that rejecting the Null hypothesis does not necessarily mean that the Alternative hypothesis is true, but rather that there is enough evidence to suggest that the Null hypothesis is not true.
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Rank the following functions by order of growth. That is, find an arrangement f1, f2, ... of the functions satisfying f1 € O(f2), f2 € Olf3), and so on. logn n2 n (log n)logn log n log n
The ranked list, from slowest to fastest growth: log n € O((log n)log n) € O(n) € O(n^2) € O(n^log n) € O(2^n)
The basic idea behind this is to use Big O notation, which provides an upper bound on how quickly a function can grow. That is if we say that f(n) € O(g(n)), we mean that there exists some constant c such that f(n) is always less than or equal to c times g(n), for sufficiently large n.
In general, logarithmic functions (like log n and (log n)log n) grow more slowly than polynomial functions (like n and n^2), which in turn grow more slowly than exponential functions (like 2^n).
By comparing the rates of growth of these functions, we can get a sense of which algorithms or data structures are likely to be more efficient for large input sizes.
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what is the perimeter for the triangle. 50 POINTS IF ITS RIGHT.
Answer:
I think the perimeter of the triangle is 34.5 :)
Step-by-step explanation:
good luck on your test! :D
a class of 60 voted for class president. 30% voted for Brad and 70% voted for Jane. How many votes did the winner get?
Answer:
Jane got 42 votes.
Step-by-step explanation:
Step 1: Put 70% into decimal.
0.7
Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:
42