Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 32 randomly selected people who train in groups, and finds that they run a mean of 49. 0 miles per week. Assume that the population standard deviation from group runners is known to be 4. 2 miles per week

Answer:

only -1,-5

got it from khan academy

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Step-by-step explanation:

-2(8m+6)

this expands to -16m-12

The function values are: 1, 3, 5, 7, 9, and 11. The interpretation of these function values means the number of points awarded to the player for rolling each of the possible values on the die.

The appropriate domain for the function is all possible values that can be rolled on a six-sided die.

The function f(x) = 2x - 1 assigns a certain number of points to a player based on the value rolled on a six-sided die. The possible values of x are 1, 2, 3, 4, 5, and 6. When we plug each of these values into the function, we get the following function values:

f(1) = 2 * 1 - 1 = 1

f(2) = 2 * 2 - 1 = 3

f(3) = 2 * 3 - 1 = 5

f(4) = 2 * 4 - 1 = 7

f(5) = 2 * 5 - 1 = 9

f(6) = 2 * 6 - 1 = 11

Therefore, the function values for this function are 1, 3, 5, 7, 9, and 11. These values represent the number of points awarded to the player for rolling each of the possible values on the die.

The appropriate domain for this function is all values of x between 1 and 6, inclusive. This includes all possible values that can be rolled on a six-sided die.

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This indicates that approximately 47.7% of the sampled subjects responded definitely or probably not beneficial to family planning.

From the given data, we can analyze the proportions of respondents who considered family planning beneficial and those who did not.

The proportion of respondents who responded definitely or probably beneficial is 651 out of 1245 sampled subjects. Therefore, the proportion can be calculated as:

Proportion = 651/1245 ≈ 0.523

This indicates that approximately 52.3% of the sampled subjects responded definitely or probably beneficial to family planning.

On the other hand, the proportion of respondents who responded definitely or probably not beneficial is 594 out of 1245 sampled subjects. The proportion can be calculated as:

Proportion = 594/1245 ≈ 0.477

This means that roughly 47.7% of the sampled participants indicated that family planning was either definitely advantageous or probably not beneficial.

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Answer:

Mean: 17.6 Median: 18 Mode: N/A Range: 27

Step-by-step explanation:

\(32^{\frac{1}{25}}\times 2^x~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\times 2^x~~ = (2^3)^{\frac{1}{4}}\implies 2^{\frac{1}{5}}\times 2^x=2^{\frac{3}{4}} \\\\\\ 2^{\frac{1}{5}+x}=2^{\frac{3}{4}}\implies \cfrac{1}{5}+x=\cfrac{3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)=20\left( \cfrac{3}{4} \right)} \\\\\\ 4+20x=15\implies 20x=11\implies x=\cfrac{11}{20}\)

The width of a confidence interval increase except increased sample size , the correct option is (b) .

In the question,

it is asked that which option will decrease the width of a confidence interval ,

we know that the ,

the decrease in sample size increases the width of the confidence interval , and

the increased confidence interval also leads to increase in width of confidence interval , and

the increase in variation also leads to increase in the width of the confidence interval .

So , the only option that decreases the width of the confidence interval is increased sample size

that is increase in sample sizes causes smaller confidence interval.

Therefore , the correct option is (b) .

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Applying the linear pair theorem and the sum of interior angles of hexagon, we have:

Angle 7 = 92°

Angle 1 = 107°

According to the linear pair theorem/postulate, when two angles lie on a straight line, the sum of their measures equals 180 degrees.

Angle 7 lie on a straight line with 88°, therefore, applying the linear pair theorem, we have:

Angle 7 + 88 = 180

Subtract both sides by 88

Angle 7 + 88 - 88 = 180 - 88

Angle 7 = 92°

Also, using the linear pair theorem, we have:

Angle 5 = 180 - 64

Angle 5 = 116°

Angle 3 = 180 - 57

Angle 3 = 123°

Sum of interior angles of hexagon equals 720°, therefore:

Angle 1 + angle 3 + angle 5 + angle 7 + 118 + 164 = 720°

Plug in the known values

Angle 1 + 123 + 116 + 92 + 118 + 164 = 720

Angle 1 + 613 = 720

Subtract both sides by 613

Angle 1 + 613 - 613 = 720 - 613

Angle 1 = 107°

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The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer: 3

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths of the two triangles.

In the given triangles, the length of the corresponding sides of the triangles are:

For the first triangle:

Side A = 15 units

Side B = 15 units

For the second triangle:

Side A = 45/2 units

Side B = 45/2 units

To find the scale factor, we can divide the length of one side of the second triangle by the corresponding length of the first triangle.

For example, we can use Side A:

Scale factor = (length of Side A of the second triangle) / (length of Side A of the first triangle)

Scale factor = (45/2) / 15

Scale factor = (45/2) * (1/15)

Scale factor = 3/2

Since the two triangles are scaled copies of each other, the scale factor should be the same for all corresponding sides.

Thus, the scale factor is 3 (in simplest form).

Answer: The mode in this data set would be 10.

Step-by-step explanation: Mode is the most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

Answer: The mode is 10.

Step-by-step explanation: To find the mode of a data set, you need to determine which number appears most frequently. In your case, the number 10 occurs three times, but all other numbers appear only once or twice. So, the mode is 10.

Answer:

4√(7^5) and (4√7)^5

Step-by-step explanation:

7^5/4

The above can be expressed as follow: Method 1:

7^5/4

(7^5)^1/4

Recall:

(a^m)^1/n = n√(a^m)

Therefore,

(7^5)^1/4 = 4√(7^5)

Method 2:

7^5/4

(7^1/4)^5

Recall:

(a^1/m)^n = (m√a)^n

Therefore,

(7^1/4)^5 = (4√7)^5

From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5

The probability that the first two approve and the third disapproves is 0.13659 or 13.659%. To find the probability that the first two approve and the third disapproves, we need to find: the probability that the first person approves, which is 61% or 0.61.

a) Probability that the first two approve and the third disapproves

To find the probability that the first two approve and the third disapproves, we need to find:

the probability that the first person approves, which is 61% or 0.61

the probability that the second person approves given that the first person approves, which is 61% or 0.61

the probability that the third person disapproves given that the first two approve, which is 35% or 0.35

We need to multiply these probabilities to get the probability that all three events occur:

P(First two approve and third disapproves) = P(First approves) × P(Second approves | first approves) × P(Third disapproves | first two approve)

P(First two approve and third disapproves) = 0.61 × 0.61 × 0.35

P(First two approve and third disapproves) = 0.13659 or 13.659%

Answer: The probability that the first two approve and the third disapproves is 0.13659 or 13.659%.

b) Probability that exactly two approve and one disapproves

To find the probability that exactly two approve and one disapproves, we can consider the following cases: First person approves, second person approves, third person disapproves

First person approves, second person disapproves, third person approves

First person disapproves, second person approves, third person approves

The probability of each of these cases is: P(First approves) × P(Second approves | first approves) × P(Third disapproves | first two approve) = 0.61 × 0.61 × 0.35 = 0.13659

P(First approves) × P(Second disapproves | first approves) × P(Third approves | first disapproves and second approves) = 0.61 × 0.39 × 0.61 = 0.14259

P(First disapproves) × P(Second approves | first disapproves) × P(Third approves | first disapproves and second approves) = 0.39 × 0.61 × 0.61 = 0.14259

So, the probability that exactly two approve and one disapproves is the sum of these probabilities:

P(Exactly two approve and one disapproves) = P(First two approve and third disapproves) + P(First approves, second disapproves, third approves) + P(First disapproves, second approves, third approves)

P(Exactly two approve and one disapproves) = 0.13659 + 0.14259 + 0.14259P(Exactly two approve and one disapproves) = 0.42177 or 42.177%

Answer: The probability that exactly two of the three approve and one disapproves is 0.42177 or 42.177%.

c) Sampling with or without replacement

In parts (a) and (b), we are assuming sampling without replacement. This is because we are selecting three people from the population of U.S. adults and asking them their position on the death penalty. Once a person has been selected, they cannot be selected again, which means we are sampling without replacement. If we were sampling with replacement, then a person could be selected more than once. This would make a difference to the probabilities because the probability of selecting a person with a certain opinion would not change, no matter how many times that person is selected. This would be different from sampling without replacement because the probability of selecting a person with a certain opinion would change, depending on how many people with that opinion are left in the population.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

39-degree is the measure of the angle A.

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given, ∠A and ∠B are complementary angles

If ZA and ZB are complementary angles, then their measures add up to 90 degrees.

So, we can set up the following equation:

m/A + m/B = 90

Substituting the given measures, we get:

(6x - 15) + (5x + 6) = 90

Combining like terms, we get:

11x - 9 = 90

Adding 9 to both sides, we get:

11x = 99

Dividing both sides by 11, we get:

x = 9

Now that we know the value of x, we can find the measure of angle A:

m/A = (6x - 15)° = (6 * 9 - 15)° = 39°

Therefore, the measure of angle A is 39 degrees.

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Answer:

5r+4

Step-by-step explanation:

Let's simplify step-by-step.

6r−r+4

=6r+−r+4

Combine Like Terms:

=6r+−r+4

=(6r+−r)+(4)

=5r+4

Answer:

Step-by-step explanation:

Nose amigo si supiera te ayudaría mucho

Answer:

Save your graph and ask the question again, I don't understand.

Step-by-step explanation:

The triangle is a scalene triangle.

A scalene triangle is a triangle with variοus lengths fοr each οf its three sides and different measurements fοr each οf its three angles. A scalene triangle's angles adhere tο the angle sum prοperty and always add up tο 180 degrees.

Here, we have

Given: A triangle has οne side that measures 5 ft, οne side that measures 8 ft, and οne side that measures 12 ft.

We have tο find what kind οf triangle.

We cοncluded that all sides οf a triangle are different sο the given triangle is a scalene triangle.

Hence, the triangle is a scalene triangle.

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a)

The drug causes side effects for 18% of patients, that is, every patient who was exposed to the drug has p = 18% chance of have side effects.

If X represent the number of patients who experience side effects betwen n = 230 observed, and considering a binomial distribution, we have:

Since or data set only deals with whole numbers, we can approximate the mean to 41

The variance is given by:

Then, the standard deviation of X is:

b)

The mean is the expected value of a variable. That is, most probable value to be identified,

c)

Since the 95% tolerance range is between 29 and 53, is would be usual if 32 patients experience side effects

Answer:

6 groups

Step-by-step explanation:

Divide 187 by 37 to split into groups

It's a decimal of 5.05, so create 6 groups

The closed-form solution for the given recurrence relation t(n) = t(n-1) * 3 with the base case t(0) = 1 is:

t(n) = 3^n


1. Start with the given recurrence relation: t(n) = t(n-1) * 3
2. Notice that the base case is t(0) = 1
3. We can rewrite the relation for a few terms to recognize the pattern:

  t(1) = t(0) * 3 = 3^1
  t(2) = t(1) * 3 = (3^1) * 3 = 3^2
  t(3) = t(2) * 3 = (3^2) * 3 = 3^3

4. Based on this pattern, we can generalize the closed-form solution as t(n) = 3^n


The closed-form solution for the given recurrence relation t(n) = t(n-1) * 3 with the base case t(0) = 1 is t(n) = 3^n.

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Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

Please brainlest

Answer:

5

Step-by-step explanation:

(−5)×(2)×(−0.5)=5

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

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the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

The equation x + (60 + 70)° = 180° is used to solve for the measure of the vertical angle x = 50°

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

The angle y and x form vertical angles, so x = y

Angle y form a straight line with 60° and 70° so we have the equation to solve for x as:

x + 60° + 70° = 180° {sum of angles on a straight line}

x + 130° = 180°

x = 180° - 130° {subtract 139° from both sides}

x = 50°

Therefore, the measure of the vertical angle x is equal to 50° derived with the equation x + (60° + 70°) = 180°.

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Answer:

dfadfadsadas

Step-by-step explanation: