10 in
3 in
8 in
4 in
Perimeter:
Area:

Answer:

63

Step-by-step explanation:

64x67+18=37

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Answer:

-7

Step-by-step explanation:

replace x by 3

-5^3+8

-15+8

=-7

Remember that

The rule of a reflection over the line y=-x is equal to

(x,y) ------> (

Answer:

10/39   0.256

Step-by-step explanation:

5 girls and boys each from kenilworth.

total is 39

Question:

Andrew owns 3 fewer DVDs than Paul. Let K represent the number of Paul's DVDs. Write the expression that can be used to find the number of DVDs that Andrew owns.

Answer:

\(Andrew = k - 3\)

Step-by-step explanation:

Given

\(Paul = k\)

\(Andrew = 3\ fewer\)

Required

Write an expression for Andrew

3 fewer means that we subtract 3 from Paul's number of DVDs.

i.e.

\(Andrew = Paul - 3\)

Substitute k for Paul

\(Andrew = k - 3\)

Answer: 16.8 miles

Step-by-step explanation:

Multiply 2.8 miles by 6 to find the number of miles jogged after 6 days.

Answer:

16.8 miles!

Step-by-step explanation:

Answer:

3x+3

Step-by-step explanation: you multiply the x value by 3 then add by 3 to get your current y value.

B

replace x with the numbers(x) and the answers will be exact

Answer:

\( {x}^{3} \times {x}^{6y } = {x}^{3 + 6y} \)

Answer:   x^9   y^2

the way it works is you need to multiply the x's then answer

Answer:The first issue one most notice is the words “at least” We are trying to find the probability of at least 2 girls.

The five possible outcomes for girls are 0,1,2,3,4. The odds of 1 girl out of 4 is .25 and the odds of 1 boy out of 4 is .25 (same as the odds of 3 out of 4 girls). Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number.

The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125)(—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)——(the same as the probability of 1 boy)—- plus the probability of 2 girls. Since we know the probability of zero boys is .0625 (again, .5 to the 4th power) and the probability of 1 boy is .25 (the same as the probability of 3 girls )———then the probability of 2 girls is ((1 minus (the sum of the probability of 0 OR 1 boys) plus the (sum of the probability of 3 or 4 girls)), or 1-((.0625+.25)+(.0625+.25)), or .375. We had to derive the probability of two from the other known probabilities. Therefore .375+.25+.0625=.6875 is the probability of both AT LEAST 2 girls and also NO MORE than 2 boys. Notice this adds up to 1.375 because the probability of the central number 2 (i.e., .375) appears on both sides.

Answer:

x=-1

Step-by-step explanation:

-10+11+x=0

-11         -11

-10+x=-11

+10         +10

x=-1

According to the Question, The interest earned in 4 years is $1,954.83.

What is compounded quarterly?

A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.

The principal is $10,000.

The annual interest rate is 4.5%, which is compounded quarterly.

Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.

The formula for calculating the future value of a deposit with quarterly compounding is:

\(P = (1 + \frac{r}{n})^{nt}\)

Where P is the principal

The annual interest rate is the number of times the interest is compounded in a year (4 in this case)

t is the number of years

The interest earned equals the future value less the principle.

Therefore, the interest earned can be calculated as follows: I = FV - P

where I = the interest earned and FV is the future value.

Substituting the given values,

\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)

The future value is:

\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)

Therefore, the interest earned is:

\(I = $11,954.83 - $10,000= $1,954.83\)

Thus, the interest earned in 4 years is $1,954.83.

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Answer:

See Below

Step-by-step explanation:

Isolate B

Soo add h to both sides

J = -h +b

+h +h

J + h = b

or

b = j + h

The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Answer:

80

Step-by-step explanation:

Reverse it too, 8 divided by 1/10, which is 80.

Answer:

Step-by-step explanation:

7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.

1 3/4 miles is between 1 and 2, a subset of real numbers.

In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.

h: hypotenuse

c1: shorter leg

c2: longer leg

Longer leg c2 is 3 inches longer than c1:

c2 = c1 + 3

hypotenuse h is 6 inches longer than c1:

h = c1 + 6

The formula for the calculation of the hypotenuse is:

h² = c1² + c2²

you replace for h and c2 in terms of c1:

(c1 + 6)² = c1² + (c1 + 3)²

You solve the previous equation for c1:

c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9

c1² - 6c1 - 27 = 0

the roots of the previous equation are:

(c1 - 9 )(c1 + 3) = 0

c1 = 9

c1 = -3

You take the positive number because there is no length of sides with negative values.

Then, c2 and h are:

c2 = c1 + 3 = 9 + 3 = 12

h = c1 + 6 = 9 + 6 = 15

Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches

Answer:

$154

Step-by-step explanation:

First, we need to find out how much Dale will make for 1 hour of work which means we need to divide $252 by 18 which is 14. Next, to find out how much he will make for 11 hours at work, we need to multiply 11 by 14 which is $154.

Here are the equations:

$252÷18=$14

$14×11=$154

The value of the trigonometric function is:

sin(x) = 2/√13

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We have that:

tan(x) = Two-thirds and the terminal side of x is located in quadrant I. Thus:

tan(x) = 2/3 (opposite/adjacent)

hypotenuse = √(2² + 3²) = √13

sin(x) = 2/√13 (opposite/hypotenuse)

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Answer: i have 0.02 miles left and i have to walk 5 more minutes.

Step-by-step explanation:

i dont know if that helps but there you go.

Answer:

377 is your answer

Step-by-step explanation:

75.4 x 5 there is your answer

Answer:

3 hours

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

\(Tan \ 19 = \dfrac{Opposite \ side}{Adjacent \ side}\\\\0.3443 = \dfrac{x}{15}\\\\0.3443*15=x\)

x = 5.1645

x = 5.2

To model the decrease in the value of the car over time, we can use an exponential function of the form:

V(t) = V(0) * e^(-rt)

where:

V(0) is the initial value of the car (in this case, $20,000).

r is the annual rate of depreciation, expressed as a decimal (in this case, 0.103).

t is the number of years since the car was purchased.

Plugging in the given values, we get:

V(t) = $20,000 * e^(-0.103t)

This is the exponential function that models the value of the car in t years.

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Answer: 6/10

Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.

Answer:

The dentist can make 6 packages using all toothbrushes and tubes of toothpaste

Hope this helps:)

Step-by-step explanation:

The correct answer is d. 56.

When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.

Substituting df = 55 into the formula, we get:

55 = n - 2

Adding 2 to both sides, we get:

n = 57

Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).

Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.

Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.

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To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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The term "Variable data" refers to data that can vary or change. It typically includes numerical data that can take on different values or measurements, such as temperature, height, weight, or time.the correct answer is "Neither question, because in each data set, there is only one outcome."

Neither question was answered with variable data, because in each data set, there is only one outcome.

The term "variable data" refers to data that can vary or change. It typically includes numerical data that can take on different values or measurements, such as temperature, height, weight, or time.

In this case, neither question involves variable data. Question 1 is about the number of cards in a standard deck of playing cards, which is a fixed quantity and does not vary. Question 2 is about the total snowfall for each month, but each month has a single, fixed value, so there is no variation in the data.

Therefore, the correct answer is "Neither question, because in each data set, there is only one outcome."

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