A polygon has an area of 144 square meters.

a. If the area is doubled, how does each side length change?

Answer:

-12 percent

Step-by-step explanation:

Where: 75 is the old value and 66 is the new value. In this case we have a negative change (decrease) of -12 percent because the new value is smaller than the old value.

In a standard normal distribution, the mean and the standard deviation are both 0 and 1, so  the correct answer to the given question is option b. 0 and 1.

Standard normal distribution: The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation

In a standard normal distribution, the correct answer to the given question is option b. 0 and 1. The standard normal distribution is a normal distribution curve where the values of the mean and standard deviation are 0 and 1 respectively

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The dimension of the rectangular prism will be x, x + 2, and x + 1.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the rectangular prism is given as,

V = x³ + 3x² + 2x

Factorize the equation, then we have

V = x³ + 3x² + 2x

V = x(x² + 3x + 2)

V = x(x² + 2x + x + 2)

V = x[x(x + 2) + 1(x + 2)]

V = x(x + 2)(x + 1)

The dimension of the rectangular prism will be x, x + 2, and x + 1.

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To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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Answer:

y = x

Step-by-step explanation:

The C's are both placed at 5

The  critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636

The given parameters to help us understand this are

The sample size = 19

The sample mean is 1.4

The sample standard deviation is 0.7

The confidence level = 90% = 0.90

The level of significance  = 0.10

The degree of freedom

Df= n-1

The critical value of t using TINV(0.10.11) is

Critₓ = α/2 d.f

t= (0.5,11) = ±1.76

The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19

Therefore this is equal to 0.76≤μ≤0.04

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Best-case analysis refers to finding the scenario in which an algorithm performs most efficiently, requiring the fewest number of operations.(option c)

This analysis is useful for understanding the lower bound or the best-case time complexity of an algorithm. In contrast, worst-case analysis considers the scenario where the algorithm performs least efficiently and requires the maximum number of operations.

Average-case analysis takes into account the expected or average input and calculates the average number of operations. Usual-case analysis is not a commonly used term in computer science and may not be as relevant in this context. Therefore, best-case analysis is the term that specifically addresses the fewest number of operations required for a given n.

The term that determines the fewest number of operations required for a given n is the best-case analysis.  It focuses on the best possible input that the algorithm can encounter.

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Answer:

Step-by-step explanation:

Answer:

✔ samples 1 and 2

Step-by-step explanation:

Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers.

A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19.

Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?

Answer:

20 or 12 depends.. read the step by step

Step-by-step explanation:

If it is 25% more than Ms. Brown, then the answer is:

\(\frac{125}{100}\)×16 which is 20

OR

If it is 25% less than Ms. Brown, then the answer is

\(\frac{75}{100}\)×16 which is 12

By solving a quadratic equation we can see that the width of the path measures 20 meters.

We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:

A = 18m*20m = 360 m^2

Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:

(18m + 2x) and (20m + 2x)

And its area is given by:

(18m + 2x)*(20m + 2x)

And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):

(18 + 2x)*(20 + 2x) = 1520

360 + 4x^2 + 76x = 1520

Now we just need to solve that quadratic equation:

4x^2 + 76x - 1520 + 360 = 0

4x^2 + 76x - 1160 = 0

The solutions are:

x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)

x = (-76 ± 156)/4

We only care for the positive solution, which gives:

x = (-76 + 156)/4 = 20

We conclude that the width of the path measures 20 meters.

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Answer:

For 10 plot a point 3 lines back and 5 lines back

For 11 its 2

Step-by-step explanation:

Answer:

2$ or -2$

Step-by-step explanation:

ok amanda owns 5$ and james owes 3$ ok so 5-3 and you got 2 but becuase they owe money it may be negative

Answer:

32 people got off

Step-by-step explanation:For the 10th stop, we can get the total number of people that have gotten off

Mathematically, this is the product of the mean and the number of stops

= 10 * 6.3 = 63 people

Now, for the 11th stop, the total becomes

11 * 8.6 = 94.6

By solving the quadratic equations,

It will take the ball 1 second to reach 18 feet

It will take the ball 1.71 seconds to be at 10 feet

It will take the ball 2.06 seconds to hit the ground

From the question, we are to determine how long it would take the ball to reach 18 feet

To determine how long it would take the ball to reach 18 feet, we will set h = 18 in the equation

The given equation is

h = -16t² + 32t + 2

Put h = 18

18 = -16t² + 32t + 2

Rearrange

16t² - 32t - 2 + 18 = 0

16t² - 32t + 16 = 0

16t² - 16t - 16t + 16 = 0

16t(t - 1) -16(t - 1) = 0

(16t - 16)(t - 1) = 0

16t - 16 = 0 OR t - 1 = 0

16t = 16 OR t = 1

t = 16/16 OR t = 1

t = 1 OR t = 1

Hence,

t = 1 second

Hence, it will take the ball 1 second to reach 18 feet

To determine how long it will take the ball to reach 10 feet, we will set h = 10

h = -16t² + 32t + 2

Put h = 10

10 = -16t² + 32t + 2

Rearrange

16t² - 32t - 2 + 10 = 0

16t² - 32t + 8 = 0

Using the quadratic formula,

t = 0.29 second OR t = 1.71 seconds

The ball will hit the ground when h = 0

Set h = 0 in the equation

h = -16t² + 32t + 2

0 = -16t² + 32t + 2

16t² - 32t - 2 = 0

Using the quadratic formula,

t = -0.06 OR t = 2.06

Since t cannot be negative,

t = 2.06 seconds

Hence, it will take 2.06 seconds for the ball to hit the ground

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Answer:   Yeah ik i have to do it too lol

but the answer is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

The choice correctly compares the volumes, in milliliters of two of these liquids is,

⇒ 1.078 < 1.23

We have to given that;

A scientist listed the volumes, in milliliters, of some liquids used in an experiment.

1.23

1.078

1.203

1.17

Now, We get;

By all the options;

⇒ 1.078 < 1.23

Thus, The choice correctly compares the volumes, in milliliters of two of these liquids is,

⇒ 1.078 < 1.23

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The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To fill in the blanks, we need to use the given information to complete the probability distribution table.

We can see that there were 3 dogs (out of the 60) that did not use any toys, and the probability of a dog not using any toys is 0.05 or 5%. There were 12 dogs (out of the 60) that used 1 toy, and the probability of a dog using 1 toy is 0.2 or 20%. Similarly, there were 15 dogs that used 2 toys, 21 dogs that used 3 toys, and 9 dogs that used all 4 toys. The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

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Answer:  b

Step-by-step explanation:

I think

Answer:

98

Step-by-step explanation:

The formula for this situation = Cube volume - cone volume

Cube volume = 5.1 * 5.1 * 5.1 = 132.7 ( rounded )
Cone volume = pi × r^2 × h/3 = pi × 2.55^2 × 5.1/3 = 3.14 × 6.5025 × 1.7 = 34.7 ( rounded )

Total volume = 132.6 - 34.7 = 98

Notes for myself: Cube = 5.1 * 5.1 * 5.1
Problem Description:
the volume of the cube with the empty cone-shaped indentation is ___ cubic meters.

Use 3.14 for pi and round your answer to the nearest hundredth.
Hope this helped

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

The z value is calculated by using the equation  (x- μ)/ σ/ √n. Here the true value lies between the confidence interval. So null hypothesis is accepted.

The data which is given are, mean of the sample (x) = 100.6 psi

Standard deviation, σ = 2 psi

Number of specimens tested, n = 9

Let us consider the mean breaking point of yarn of the population = μ

Since it is said that the mean breaking point should at least be 100,

Null hypothesis, H₀ , μ ≥ 100

Alternate hypothesis, H₁  μ < 100

a. Z value = (x- μ)/ σ/ √n =  \(\frac{100.6-100}{\frac{2}{\sqrt{9}} }\) = 0.89

So P ( z ≥ 0.89) = 0.1711

If significance level,α is greater than P(z ≥ 0.89), we cannot reject the null hypothesis.

b. If significance level is 0.05

Critical value for the breaking point , (x-μ)/σ/√n = 1.64

        \(\frac{x- 100}{\frac{2}{\sqrt{9} } }\)    = 1.64

x = 101.093

Z value =   \(\frac{101.09-102}{\frac{2}{\sqrt{9} } }\)  =  -1.378

P(z< -1.378) = 0.0885

Probability of committing type 2 error = 8.85%

c. Required confidence interval level =  \(x-z_{0.05}(\frac{2}{\sqrt{n} })\)  = \(102-1.64(\frac{2}{\sqrt{9} } )\) = 102 - (1.64× 0.67) = 100.9

d. If true value lies between the two confidence interval, null hypothesis is accepted. Here 100.9 < 102 < α

So null hypothesis is accepted.

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The complete question is

The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2 psi. A random sample of nine specimens is tested, and the average breaking strength is found to be 100.6 psi.

a) Should the fiber be judged acceptable? Use the P-value approach.

b) What is the probability of not rejecting the null hypothesis at

α=0.05

if the fiber has a true mean breaking strength of 102 psi?

c) Find a 95% one-sided lower CI on the true mean breaking strength.

d) Use the CI found in part (d) to test the hypothesis.

The boats are 9 units apart.

The distance formula is a mathematical equation used to find the distance between two points in a coordinate system. In three-dimensional space, the formula takes into account the x, y, and z coordinates of each point.

The formula involves taking the difference between the x, y, and z coordinates of each point, squaring those differences, adding them together, and taking the square root of the result. The distance formula is a fundamental tool in many fields, including physics, engineering, and computer science.

To find the distance between Boat A and Boat B, we use the distance formula in three-dimensional space:

\($d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$\)

where (x1, y1, z1) are the coordinates of Boat A and (x2, y2, z2) are the coordinates of Boat B.

Plugging in the values, we get:

\(d = \sqrt{(-5 - 4)^2 + (2 - 2)^2 + (-2 - (-2))^2}$\\$d = \sqrt{(-9)^2 + 0^2 + 0^2}$\\$d = \sqrt{81}$\\$d = 9$\)

Therefore, the boats are 9 units apart.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 7, 5 ) and (x₂, y₂ ) = (3, 0 )

m = \(\frac{0-5}{3-(-7)}\) = \(\frac{-5}{3+7}\) = \(\frac{-5}{10}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (3, 0 ) , then

0 = - \(\frac{2}{2}\) + c ⇒ c = \(\frac{3}{2}\)

y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\) ← equation of line

Answer:

Step-by-step explanation:

123 X 8000 = 984000

984000/48 = 20500(PUT EURO SIGN)

Answer:

-20

Step-by-step explanation:

For k(x)=3/4x-11 substitute x with -12

=3/4(-12)-11

=-20

Answer:

15? i'm not too sure, the wording is throwing me off

Step-by-step explanation:

Answer:

15 dogs

Step-by-step explanation:

dogs : cats : rabbits

5 : 2 : 1

? : ? : 3

1 rabbit = 2 cats

2 cats = 5 dogs

1 rabbit = 2 cats

2 rabbits = 4 cats

3 rabbits = 6 cats

2 cats = 5 dogs

4 cats = 10 dogs

6 cats = 15 dogs

Answer:

Pam is correct.

Step-by-step explanation:

Divide 15 by 3 = 5

5 x 4 = 20, the total of toys she has.

X is used as a Place holder for the value(s) in math. Oh and angle BAG should be around 135!

Answer:

area of the circular plate =πr²

50.24 =3.14×r²

r² =50.24/3.14

r² =16

radius =4 inch

Answer:

4 in

Step-by-step explanation: