A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data, a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18, 42.63). Which of the following statements is a correct interpretation of the interval?
A. Ninety-five percent of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The probability is 0.95 that a sample of size 1,501 will produce a mean between 41.18 hours and 42.63 hours.
C. Of all samples of size 1,501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours.
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
E We are 95% confident that the mean number of hours worked per week for all employed adults is between 41.18 hours and 42.63 hours.

Answer:

276 .........................................

Answer:

B) No, because the p-value is greater than any reasonable significance level

Step-by-step explanation:

H-null: p = 0.41

H-alt: p =/= 0.41

1 proportion Z test

On a calculator: stat + tests + 5

   p: .41

   x: 245

   n: 600

   prop: =/= p

This gives a p-value = .934

(standard significance level is .05, so this p-value is much larger)

fail to reject H-null

If the p-value is much larger than 0.41 then the null hypothesis is rejected. Then the correct option is B.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day.

To investigate whether the percentage would be different for high school students, 600 high school students were randomly selected.

When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day.

Null hypotheses

p = 0.41

Alternative hypotheses

p ≠ 0.41

The p-value will be given as

p-value = 0.934

The p-value is much larger than p.

More about the null hypotheses and alternative hypotheses link is given below.

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Answer:

B

Step-by-step explanation:

mrk me brainliest plz

The equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation of a straight line as -

2x + 12y = - 1

Assume that the equation of the straight line in slope - intercept form as

y = mx + c

Now, the given straight line is perpendicular to the given line. So, we can write the slope as -

{m} = -1/(-1/6)

{m} = 6

For the {y} intercept, we can write -

{c} = 9

So, we can write the equation of the straight line in slope - intercept form that is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9

Therefore, the equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

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Answer:

11 AM

Step-by-step explanation:

Mile Calculation:

200 miles away and 50 miles per hour.
200 divided by 50 is equal to 4

Answer:
Now, 7 am + 4 hours is equal to 11 AM.

Answer: 22 times

Step-by-step explanation: divide 137 by 6

Answer:

71.4

Step-by-step explanation:

The Test

Answer:

Since the term "3" contains no variables, "3" IS a constant term. In the expression 2x - 5 the constant term is -5.

Answer:

7/8

Step-by-step explanation:

Step 1: Count the total number of letters in the word FOOTBALL

There are 8 letters in the word FOOTBALL.

Step 2: Count the number of letters that are not L

There are 7 letters that are not L.

Step 3: Calculate the probability

The probability that the letter chosen is not an L is 7/8.

Answer:

f ( x + 4 /9 )  =  4 x  −  65/ 9

Step-by-step explanation:

Answer:

3/4 > 2/4

Step-by-step explanation:

3/4 = 0.75

2/4 = 0.5

Therefore, 3/4 > 2/4

Answer:

English.

Step-by-step explanation:

English: 13/14 = 93%-94% (0.928...) Rounding up.

Science: 93%

Math: 92%-93%

History: 93%

Answer:

The Sweet and Sour company

Step-by-step explanation:

Convert both types of lemonades into gallons and divide by the price.

For the loving lemon company you divide 24 by 4 and get a unit price of $6 per gallon

For the sweet and sour company change the 8 quarts into 2 gallons and divide 16 by 2, which gets you a unit price of $8 per gallon

The linear function q(x) = -3x + 1 is graphed and attached

The graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows

For x = -20,  q(x) = -3 * -20 + 1 = 61

For x = -10,  q(x) = -3 * -10 + 1 = 31

For x = 0,  q(x) = -3 * 0 + 1 = 1

For x = 10,  q(x) = -3 * 10 + 1 = -29

For x = 20,  q(x) = -3 * 20 + 1 = -59

Table of values

x     y

-20  61

-10    31

0      1

10     -29

20    -59

These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line

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Answer:

49 feet squared

Step-by-step explanation:

Divide the perimeter by the the number of sides a square has to find the length of each side, then find the area by multiplying two of the side lengths

28÷4 = 7

7×7=49

Answer:

This looks like a UNIFORM distribution. There is no skewed and it's not a 'normal' distribution, which would be like a hill. does that make sense?

The image is showing the uniform distribution. The correct option is D.

The continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions in probability theory and statistics. The distribution describes an experiment in which the outcome is arbitrary and falls between certain bounds.

It can be also defined as a uniform distribution is a type of probability distribution in which every possible outcome has an equal chance of occurring.

Given that the in the image there are vertical bars showing the approximate uniformity of the data.

Here, the data is varying uniformly therefore the shape is describing the uniform distribution.

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Her team scored a total of 22+39 = 61 points. This is 8 points higher than the other team, so the other team scored 61-8 = 53 points.

As for which expression your teacher wants as the final answer, it will depend on how simplified you want it to be. You could have the following possible answers:

Other expressions may be possible as well.

Answer:

The answer depends on whether your teacher wants an algebraic expression or an arithmetic expression.

Algebraic might be:

s = g - 8

Arithmetic:

39 + 22 - 8

Step-by-step explanation:

s (score) is the total number of points Ginny's team scored (g) minus 8 because Ginny's team scored 8 more than the other team.

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Answer: 2/3, 8/12

Step-by-step explanation:

Answer:

2/3 and 8/12 (brainlest plssss)

Step-by-step explanation:

Answer:

3x - y = 2

Step-by-step explanation:

pick 2 points on the line:  (0, -2), (2, 4)

find slope (m):

m = (4-(-2))/(2-0) = 6/2 = 3

write the equation in point-slope form first:

y - y1 = m(x - x1)

plug in a point: (2,4)

y - 4 = 3(x - 2)

y - 4 = 3x-6

now write it in standard form:  Ax + By = C

3x - 6 = y - 4

3x - y = 2

Answer:

191.67 feets

Step-by-step explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets

Answer:

Step-by-step explanation: 55

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Given:

[tex]A=15^\circ, C=120^\circ,b=3[/tex].

To find:

The length of side c.

Solution:

According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]15^\circ+m\angle B+120^\circ=180^\circ[/tex]

[tex]m\angle B+135^\circ=180^\circ[/tex]

[tex]m\angle B=180^\circ-135^\circ[/tex]

[tex]m\angle B=45^\circ[/tex]

According to the Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}[/tex]

[tex]\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}[/tex]

[tex]3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c[/tex]

On further simplification, we get

[tex]\dfrac{3\sqrt{6}}{2}=c[/tex]

[tex]3.674235=c[/tex]

[tex]c\approx 3.7[/tex]

Therefore, the length of side c is about 3.7 units.

Answer:

Mean absolute deviation (MAD).

Step-by-step explanation:

A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.

In statistics and probability, random variables are either continuous or discrete.

1. A continuous random variable is a variable that has its possible values as an infinite value, meaning it cannot be counted.

Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.

2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.

Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

The mean absolute deviation also referred to as mean deviation can be defined as the average of the distance or absolute deviations between the central point of a data set. Thus, it used by statisticians to illustrate the variability or statistical dispersion in a data set.

Mean absolute deviation (MAD) is a measure of variation that should be use to describe two data sets that are both not symmetric i.e they are skewed and as such not having a mirroring image.

Answer:

The cental angle = 135º

Step-by-step explanation:

When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.

Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.

The volume will be:

= Length × Width × Height

= 11cm × 8cm × 4cm

= 352cm³

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Complete question

Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume

Answer:

3.58

im guessing . soorry

Answer:

I pretty sure it the first option

Answer:

41.16 m^3

Step-by-step explanation:

=(0.5×4.2×2.8)×7

=41.16