Compute the standard deviation of each of the numeric variables. Among the following, the variable with the largest standard deviation is:
a. age
b. bmi
c. systolic
D. DIASTOLIC

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

Step-by-step explanation:

3x = f

2x = e

x is how many batches you want to make.

The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;

f(n)=50n.

This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).

Therefore if Nadia swims for 10 minutes, the function will output 500 meters;

10 minutes x 50 meters/minute = 500 meters

Thus, the required function is;

f(n)=50n.

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The simplified form of the exponential expression \(64^{\frac{1}{4} }\) is  \(2\sqrt{2}\)

The given expression = \(64^{\frac{1}{4} }\)

The exponential function is the function in the form of f(x)= \(a^{x}\), where x is the variable and a is the constant. The constant term is the base of the exponential function.

The given expression = \(64^{\frac{1}{4} }\)

Here we have to use the power rule of the exponents

\((a^{m})^{n}=a^{mn}\)

To increase a number with an exponent to the power, we have to multiply the exponent times the power

We know

64 = \(2^{6}\)

Then

\(64^{\frac{1}{4} }\) = \((2^{6})^{\frac{1}{4} }\)

Apply the power rule of the exponent

\((2^{6})^{\frac{1}{4} }\) = \(2^{(6)(\frac{1}{4} )}\)

= \(2^{\frac{3}{2} }\)

= \(2\sqrt{2}\)

Hence, the simplified form of the exponential expression \(64^{\frac{1}{4} }\) is  \(2\sqrt{2}\)

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Answer:

58.6 miles per hour

Step-by-step explanation:

205.1 miles /3.5 hours= 58.6 mph

Total ten hours, each have to work before they go to the movie and each of them have earned total eighty-four dollars.

We have, Mai's earning from mowing her neighbor’ lawn = $7 per hour

Also , her earning from hauling away bag of recyclable for some neighbor = $14

In case of Priya, a babysitter of her neighbor’ children. The above table shows amount of money, in dollar, m she earn in h hour.

Priya's earning in one hour = $8.40

We have to determine the how many hours they have to work for earning the same amount in same number of hours. Let the required hours be "h" hours . So, total mai's earning in h hours

= $14 + h --(1)

Priya's earning in h hour = h $8.40 --(2)

Therefore, equation (1) and (2) are linear equation in one variable, h . Now, according to problem in the earing of both in h hours are equal to each other. So, $14 +$ 7 h = h $8.40

=> h × 8.40 = 14 + 7h

=> h ( 8.40 - 7) = 14

=> h× 1.40 = 14

=> h = 14/1.4 = 140/14

=> h = 10

Hence, required value is 10.

Total priya's earning in 10 hours = 10× $8.40 = $84

Total Mai's earning in 10 hours = $14 + $70 = $84.

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Complete question:

Mai earns $7 per hour mowing her neighbors lawns.she also earns $14 for hauling away bags of recyclables for some neigbors. Priya babysits her neigbors children. The table shows the amount of monet m she earnd in h hours. Priya and mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours. How many hours do theyhave to work before they go to the movies?

The resultant value of x for the given quadratic equation 9x² − 16 = 0 is x = ±4/3.

Any equation in algebra that can be written in standard form where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.  

An algebraic equation of the second degree in x is a quadratic equation.

The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

So, we have the quadratic equation:

9x² − 16 = 0

Now, solve as follows:

a = 9

b = 0

c = -16

Now,

c = -0 ± √0² - 4-9(-16)/2*9

x = ±4/3

Therefore, the resultant value of x for the given quadratic equation 9x² − 16 = 0 is x = ±4/3.

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Given:

Equation of circle is

Answer:

I'm not in 7th grade but 7th grade was not the year for me lol

Step-by-step explanation:

sh. it was wild XD

Answer:

not in 7th grade

Step-by-step explanation:

but teachers gotta help out students a little more dude

Answer:

the subtraction property of equality

Answer:

the answer is a) the subtraction property of equality

Step-by-step explanation:

None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

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Answer:

hope this hlo u

Step-by-step explanation:

range =highest observation-lowest observation

range=10-6

=4

Sample is biased. Based on her findings, Arianna revealed the percentage in her state after polling 600 residents of her city. Thus, the sample fails to accurately reflect the population. Option (4) is correct.

When some members of a population are systematically more likely to be chosen in a sample than others, this is known as sampling bias. What makes sampling bias significant? Sampling bias poses a risk to external validity since it restricts the applicability of your findings to a larger population. When some population members have a higher or lower sampling probability than others, the sample is biased.

This includes choosing or sampling people according to their hobbies, gender, or age. Therefore, a fair or impartial sample must be representative of the entire population under investigation. When a research study design fails to gather a representative sample of a target population, the phenomenon known as sampling bias takes place. This usually happens as a result of the respondents' selection criteria not capturing a broad enough sampling frame to include all points of view.

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Correct Question:

Arianna collected data from a random sample of 600 people in her city asking whether or not they bike to work. Based on the results, she reports that 44% of the people in her state bike to work. Why is this statistic misleading?

Select the correct answer below:

1. The statistic contains a calculation error.

2. The sample is self-selected.

3. The data contains an outlier.

4. The sample is biased.

The points that are part of the solution set are (3, 7), (8, 1), and (10, 2).

The coordinate plane is a two-dimensional space formed by two perpendicular lines called the x-axis and y-axis. The point where the two axes intersect is called the origin. Each point in the plane is identified by a pair of numbers called its coordinates, where the first number represents its position along the x-axis and the second number represents its position along the y-axis. Coordinates are typically written as (x, y), with the x-coordinate listed first and the y-coordinate listed second. The coordinate plane is commonly used in mathematics to graph and analyze equations, functions, and geometric shapes.

Let x be the number of bags of popcorn and y be the number of bags of cotton candy. Then the cost constraint is:

3x + 7y ≤ 56

We also have the constraint that Chris needs at least 7 bags of popcorn:

x ≥ 7

To graph these constraints, we can rewrite them in slope-intercept form:

y ≤ (-3/7)x + 8

x ≥ 7

The first inequality has a slope of -3/7 and a y-intercept of 8, and the second inequality is a vertical line at x = 7.

To plot the points that are part of the solution set, we can simply plug them into the two inequalities and see if they are true. The points that satisfy both inequalities are part of the solution set.

(3, 7) satisfies both inequalities:

7 ≤ (-3/7)(3) + 8

3 ≥ 7

(2, 2) does not satisfy the first inequality:

2(7) > 3(2) + 7

(8, 1) satisfies both inequalities:

1 ≤ (-3/7)(8) + 8

8 ≥ 7

(10, 2) satisfies both inequalities:

2 ≤ (-3/7)(10) + 8

10 ≥ 7

(5, 5) does not satisfy the first inequality:

5(7) > 3(5) + 7

Therefore, the points that are part of the solution set are (3, 7), (8, 1), and (10, 2).

To graph these on the coordinate plane, we can plot the vertical line x=7 and the line y= (-3/7)x + 8, and then shade in the feasible region below the line and to the right of the vertical line.

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The probability that the mean lifespan from the sample of 999 houseflies  is less than 242424 days is almost zero

Standardize the sample mean lifespan and find the corresponding probability using the standard normal distribution.

The formula for the standardized sample mean is:

z = (X - μ) / (σ / √n)

Where:

X = sample mean lifespan = 242424 days

μ = population mean lifespan = 262626 days

σ = population standard deviation = 121212 days

n = sample size = 999

Substituting the values in the formula, we get:

z = (242424 - 262626) / (121212 / √999) ≈ -10.33

The corresponding probability can be found using a standard normal distribution table or calculator. Alternatively, we can use the formula:

P(z < -10.33) ≈ 0

This means that the probability of obtaining a sample mean lifespan of 242424 days or less, assuming a population mean of 262626 days and a population standard deviation of 121212 days, is extremely low (almost 0).

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Answer:

(x, y) ≈ (-2.17, ±sqrt(95)) or (x, y) ≈ (-1.03, ±sqrt(21))

Step-by-step explanation:

To solve this system of equations, we can use the method of substitution. We can start by isolating one of the variables in one of the equations and substituting it into the other equation. Let's solve for x in the first equation:

5y² + 24x - 77 = 0

24x = 77 - 5y²

x = (77 - 5y²)/24

Now we can substitute this expression for x into the second equation:

14x² + 5y² + 150x + 119 = 0

14((77-5y²)/24)² + 5y² + 150((77-5y²)/24) + 119 = 0

Simplifying this expression gives:

49y^4 - 5390y² - 108090y - 404271 = 0

We can solve for y using the quadratic formula:

y² = (5390 ± sqrt(5390² - 4(49)(-404271)))/(2(49))

y² = (5390 ± sqrt(16946804))/98

y² = (5390 ± 4118)/98

y² = 95 or y² = 21

Substituting each value of y into the expression we found for x earlier gives:

x = (77 - 5(±sqrt(95))²)/24 ≈ -2.17 or x = (77 - 5(±sqrt(21))²)/24 ≈ -1.03

Therefore, the solution to the system of equations is:

(x, y) ≈ (-2.17, ±sqrt(95)) or (x, y) ≈ (-1.03, ±sqrt(21))

The function f(z) = z / (1−z)^2 is one-to-one in the open disc |z| < 1.

To show that the function f(z) = z / (1−z)^2 is one-to-one in the open disc |z| < 1, we need to show that if f(a) = f(b) for some a and b in the open disc, then a = b.

So, let's assume that f(a) = f(b), where a and b are two arbitrary points in the open disc |z| < 1:

f(a) = f(b)

a / (1-a)^2 = b / (1-b)^2

a(1-b)^2 = b(1-a)^2      ---(1)

Expanding both sides, we get:

a - 2ab + b^2 = b - 2ab + a^2

a^2 - b^2 = a - b

(a-b)(a+b) = a - b

Since a and b are in the open disc |z| < 1, we know that a ≠ b. Therefore, we can divide both sides of the above equation by (a-b):

a + b = 1

Now, using this result and equation (1), we can simplify as follows:

a(1-b)^2 = b(1-a)^2

a(1-b)^2 = b(1-b)(1+b)             (since a + b = 1)

a(1-b) = b(1+b)

a - ab = b + ab

a = b

Thus, we have shown that if f(a) = f(b) for some a and b in the open disc |z| < 1, then a = b. Therefore, the function f(z) = z / (1−z)^2 is one-to-one in the open disc |z| < 1.

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Answer:

No solution

Step-by-step explanation:

5.5 = -4.5

Hope this helps dude

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer: We can start by using the proportion method to find the number of girls in the class.

If the ratio of girls to total students is 4:7, that means for every 4 girls, there are 7 students in total. We can set up a proportion:

4/x = 7/21

where x is the number of girls in the class.

To solve for x, we can cross-multiply and get:

4* 21 = 7* x

84 = 7x

Dividing both sides by 7 gives:

x = 12

So there are 12 girls in the class.

Step-by-step explanation:

Answer:

the new volume is

v = 5508

2x-4=5x+20

-3x=24

x=-8

Answer:

2x -4/5 = x + 4

2x -4 /5× 5 = 5(x +4)

2x -4 = 5x +20

2x -4+4 = 5x +20+4

2x = 5x +24

2x -5x = 5x-5x+24

-3x = 24

-3x/-3 = 24/-3

x = -8

hope that will help you

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Answer:

d is correct

Step-by-step explanation:

The proportion should be sufficiently demonstrated to be lower than 49% at the 0.05 level.

Given,

Less than 49% of a newsletter publisher's subscribers, in their estimation, own a personal computer.

A potential advertiser wants to verify this claim for marketing purposes.

The marketer chooses to reject the null hypothesis after running a test with a 0.05 level of significance.

We have to determine the conclusion regarding the publisher's claim;

Here,

Null and Alternative hypothesis;

H₀ = P ≥ 0.49

H₁ = P < 0.49 (Left tailed test)

The significance level is 0.05

So,

0.05 < 0.49

Then,

At the defined meaning level, it is chosen to reject the null hypothesis.

Therefore,

There should be sufficient evidence that the proportion is lower than 49% at the 0.05 level.

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A sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

To determine the sample size required to construct a 90% confidence interval for a population proportion with an error of 0.2 (or 20%), we need to use the formula for sample size calculation in proportion estimation.

The formula for sample size in proportion estimation is:

n = (Z² * p * q) / E²

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645)

p = estimated or assumed population proportion (since there is no knowledge about the population proportion, we can assume a conservative value of 0.5 to get the maximum sample size)

q = 1 - p (complement of p)

E = desired margin of error (0.2 or 20% in this case)

Substituting the values into the formula:

n = (1.645² * 0.5 * (1 - 0.5)) / 0.2²

n = (2.705 * 0.5 * 0.5) / 0.04

n = 0.67625 / 0.04

n ≈ 16.90625

Since the sample size must be a whole number, we round up the result to the nearest whole number:

n = 17

Therefore, a sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

It's important to note that this calculation assumes maximum variability in the population proportion (p = 0.5) to ensure a conservative estimate. If there is any information or prior knowledge available about the population proportion, it should be used to refine the sample size calculation.

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Answer:

1/6

Step-by-step explanation:

favorable over total outcomes

favorable is 6

total is 36

6/36 = 1/6

6 favorable outcomes are:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

testbookcom

quora Praneethreddy Ravi Shetye

Answer:

Step-by-step explanation:

d

Answer:

sqrt( 58 )

Step-by-step explanation:

Use a^2+b^2=c^2