Justin is training to run in a 5-mile race. To practice, he ran 15 miles in one week. How many yards did he run in that week?

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The best estimate of the population proportion of yellow peas is the sample proportion, but we need to calculate the margin of error using a confidence interval to be confident in our estimate.

In statistics, a population proportion is the percentage of individuals in a given population with a certain characteristic. The best estimate of the population proportion is the sample proportion. This is because it is not feasible to collect data from the entire population, so we rely on a sample to estimate the proportion.

The larger the sample size, the more accurate the estimate of the population proportion will be.The sample proportion is calculated by dividing the number of individuals in the sample with the desired characteristic by the total number of individuals in the sample.

For example, if we want to estimate the proportion of yellow peas in a population and we sample 100 peas, and find that 25 of them are yellow, then the sample proportion would be 25/100 or 0.25.

This means that we estimate that 25% of the population is yellow peas. However, we need to be careful when interpreting this estimate.

We need to calculate the margin of error to determine how confident we are in our estimate. We can do this using a confidence interval. A confidence interval is a range of values that is likely to contain the true population proportion with a certain degree of confidence.

For example, a 95% confidence interval for the proportion of yellow peas might be 0.20 to 0.30.

This means that we are 95% confident that the true proportion of yellow peas in the population is between 0.20 and 0.30.

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Answer:

Step-by-step explanation:

A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.

Answer: I think its X intercept is (-0.75,0) and then y is (0,0.429)

Step-by-step explanation:

Tell me if I'm wrong

Answer:

Step-by-step explanation:

Step-by-step explanation:

must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track

The perimeter of the track is 464 m

The length around an object is called its perimeter.

Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.

The dimension of the rectangle are 100 m and 64 m

The distance between the outer an dthe inner track is 10 m,

The diameter of the outer semicircles is 64+10+10 = 84 m

Therefore, is radius = 42 m

The perimeter of the outer semicircle = 2×π×radius

= 2×3.14×42

= 264 m

The length of the two straight lines = 100 + 100 = 200 m

Therefore, total perimeter of the whole track = 200+264 =464 m

Hence, the perimeter of the track is 464 m

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The figure for this question is:

Answer:

1840 = 2x, where  x = jazz tickets

Step-by-step explanation:

Since twice as many rock concert tickets were sold, and 1840 were sold, that means that 1840 is equal to twice the number of jazz concert tickets.

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

Answer:

x = 8 and x = -3.

Step-by-step explanation:

-x^2 + 5x + 24 = 0   at the x intercepts.

Divide thru by -1:

x^2 - 5x - 24 = 0

(x - 8)(x + 3) = 0

x - 8 = 0 ,  x + 3 = 0

x = 8 and x = -3.

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Answer:

C. y = -1/5x

Step-by-step explanation:

y = -1/5 exhibits direct proportionality.  This means that y varies directly as x (for every change in x, y also experiences change), while the "-1/5" represents the constant of proportionality.  Because -1/5 is negative, every increase in x will result in a decrease in y.

The linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Given, data for a classroom of students who measured each (approximately) in inches.

Femur Length 18.7 14.2 20.5 15.9 16.2 13.1 15.0 12.4 19.0 16.2 21.3

Tibia Length  15.8 21.0 16.2 14.3 12.1 15.8 13.0 18.8 14.3 18.7 13.8

we have to find a linear correlation between the two variables,

linear correlation be,

(y - 15.8)/(x - 18.7) = (15.8 - 21.0)/(18.7 - 14.2)

(y - 15.8)/(x - 18.7) = (- 5.2)/4.5

4.5y - 71.1 = -5.2x + 97.24

4.5y + 5.2x = 168.34

So, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Hence, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

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The standard deviation is found to be approximately 4.24.

Given a gamma distribution with α = 2 and β = 3, and a sample size of 1001. To find the mean, variance, and standard deviation of this gamma distribution, we will use the following formulas:

- Mean = αβ
- Variance = αβ²
- Standard deviation = sqrt(αβ²)

1) Given that α = 2, β = 3, and the sample size (n) = 1001.
2) Calculate the mean of the gamma distribution using the formula :

Mean = αβ = 2 * 3 = 6

So, the mean is 6.
3) Calculate the variance of the gamma distribution using the formula:Variance = αβ² = 2 * 3² = 18

So, the variance is 18.
4) Calculate the standard deviation of the gamma distribution using the formula:

Standard deviation = sqrt(αβ²) = sqrt(2 * 3²) = sqrt(18)

So, the standard deviation is approximately 4.24.

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Answer:

40

Step-by-step explanation:

64 female

ratio of men to women is 5:8

5x:8x

where 8x = 64

so x = 8

5(8):8(8)

40:64

So there are 40 men.

The probability of waiting exactly 4 or 15 minutes is zero, since the uniform distribution is continuous and has no discrete values.

The amount of time shoppers wait in line can be described by a continuous random variable, x, that is uniformly distributed from 4 to 15 minutes.

Uniform distribution is a probability distribution, which describes that all values within a certain interval are equally likely to occur. The probability density function (PDF) of the uniform distribution is defined as follows: `f(x) = 1 / (b - a)` where `a` and `b` are the lower and upper limits of the interval, respectively.

Therefore, the probability density function of the uniform distribution for the given problem is `f(x) = 1 / (15 - 4) = 1 / 11`. Uniform distribution, also known as rectangular distribution, is a continuous probability distribution, where all values within a certain interval are equally likely to occur.

The probability density function of the uniform distribution is constant between the lower and upper limits of the interval and zero elsewhere.

Therefore, the PDF of the uniform distribution is defined as follows: `f(x) = 1 / (b - a)` where `a` and `b` are the lower and upper limits of the interval, respectively.

This formula represents a uniform distribution between `a` and `b`.In the given problem, the lower limit `a` is 4 minutes, and the upper limit `b` is 15 minutes.

Therefore, the probability density function of the uniform distribution is `f(x) = 1 / (15 - 4) = 1 / 11`.

This means that the probability of a shopper waiting between 4 and 15 minutes is equal to 1/11 or approximately 0.0909.

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Answer:

the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints

Step-by-step explanation:

The computation of the number of pints of blue paint did she use for painting her bedroom walls is shown below:

= Total pint × blue paint

= 7.5 × (1 - 3 ÷ 4)

= 7.5 ×  1 ÷ 4

= 1.875 pints

Hence, the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints

Answer:

  f(x) = (x +3)(x +1)(x -2)

Step-by-step explanation:

When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.

__

The three zeros give rise to a polynomial with three factors:

  f(x) = (x -(-3)) · (x -(-1)) · (x -2)

  f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function

__

This can be expanded using the distributive property.

  f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6

  f(x) = x³ +2x² -5x -6 . . . . . standard form

Answer:

Step-by-step explanation:

The first statement is correct. The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31.62% and 52.38%. However, the rest of the statements are incorrect.

"There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between 31.62% and 52.38%." is incorrect, this statement is about a probability of a single student, but the confidence interval is about a probability of the whole population.

"Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238)." is correct, this statement is true, but it doesn't add any additional information.

"The 99% confidence interval is (0.4762, 0.6838)." is incorrect, this value is not the correct confidence interval.

"We are 99% confident that the true proportion of students attending the Winter Formal is between 47.62% and 68.38%." is incorrect, this statement is not true, as the confidence interval is not (0.4762, 0.6838) but (0.3162, 0.5238)

"Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838)." is incorrect, as this is not the correct confidence interval.

In conclusion, the faculty members at McAdenville High School can be 99% confident that the true proportion of students who will attend the Winter Formal is between 31.62% and 52.38%.

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Answer:

It's the one with only one line.

Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.

Answer:

p = 3.2

Step-by-step explanation:

8 = 2.5p ( isolate p by dividing both sides by 2.5 )

\(\frac{8}{2.5}\)= p , that is

p = 3.2

The probability of dart landing on yellow region =  = 56.31%

Step 1; We need to determine the area of the blue region and the yellow region. To calculate the different areas we must use the areas of the shapes surrounding the particular shape.

First, we find the areas of all the shapes in the dartboard.

The area of the square with a side length 18 inches = 18 × 18 = 324 square inches.

The area of a circle with radius of 9 inches = π × 9 × 9 = 254.469 square inches.

The area of 2 triangles with a base 6 inches and height 6 inches = 2 × ( × 6 × 6) = 2 × 18 = 36 square inches.

The area of the inner square = 6 × 6 = 36 square inches.

The area of the inner circle with a radius 3 inches = π × 3 × 3 = 28.274 square inches.

Step 2; Now we calculate the areas of the blue and yellow regions.

The area of the blue region = Area of the outer square - Area of the outer circle =   324 - 254.469 = 69.531 square inches.

The area of the yellow region = Area of the outer circle - Area of 2 triangles - Area of the inner square = 254.469 - 36 - 36 = 182.469 square inches.

The area of the entire board is the same as the outer square area.

Step 3; To find any event's probability we divide the number of favorable outcomes by the total number of outcomes. Here, the favorable outcome is the area of the yellow region and the total number of outcomes is the total area of the dartboard.

The probability of the dart landing on the yellow region =  = 0.5631 = 56.31%.

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Answer:

40 problems per hour

Step-by-step explanation:

40x3=120

Answer:

The value of \(x=11\)

Step-by-step explanation:  Simplify the equation  \((4x+8) + (3x+7) = 92\)  

To simplify take the common factors and solve them

So, 4x and 3x, then 8 and 7.  \(4x + 3x = 7x \\8 + 7 = 15\)

Now put 7x and 15 in the equation.   \(7x + 15 = 92\)

Now simply this equation.     7x + 15 = 92

                                                     - 15 = -15

cross out 7 to get x                7x         =  77    divide 77 and 7

                                                7               7    

                                                 x           = 11

To check work just replace the x with eleven to solve the equations and add the result to see if it equals 92

(4(11)+8) + (3(11)+7) = 92

(4 x 11 = 44 +8) = 52           52

+ (3 x 11 = 33 + 7) = 40     + 40

                                         = 92

So that means x is 11

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

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Answer:

B. 875

Step-by-step explanation:

Hope this helped

Answer:

yep that's correct

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

Al realizar la sumatoria se obtiene:

 +300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

Answer:

Step-by-step explanation:

this picture has a blue circle with a line through it i dont know what to help you with if you could tell me the equation then i can help you but i cant if there is a blue circle in it.

Answer:

A brush: $4.50

A tube of paint: $2

Step-by-step explanation:

Let b = brushes

Let p = paint

1) Set up equations.

4b + 7p = 32

6b + 8p = 43

2) Solve the system of equations using elimination.

(4b + 7p = 32)3

(6b + 8p = 43)2

-----------------------

12b + 21p = 96

12b + 16p = 86

----------------------

5p = 10

p = 10/5

p = 2

Substitute 2 into p of any of the two equations.

4b + 7(2) = 32

4b + 14 = 32

4b = 32 - 14

4b = 18

b = 18/4

b = 4.50

Therefore, a brush costs $4.50, while a tube of paint costs $2.

Answer:

-12

Step-by-step explanation:

The average rate of change is found by

f(4) - f(2)

---------------

4-2

32 - 56

----------

4-2

-24

------

2

-12