According to government data, 20% of employed women have never been married. Assume an SRS of seven employed women are selected and asked if they have ever been married.

a. What is the random variable X of interest here? Define X.

b. Out of the 7 employed women selected at random, what is the probability that exactly 2 have never been married? (Show your work below) _________

c. Out of the 7 employed women selected at random, what is the probability that 2 or fewer have never been married? ___________

d. What are the mean and standard deviation of X?

Mean:_________ Standard Deviation _________

Answer: 140°

Step-by-step explanation:

look at the little number

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

Answer:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

168.43%

The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.

To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.

The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.

The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].

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EXPLANATION

In order to find the graph of f(x) = log3x, we can build a table with some values as follows:

x y=log3x

-1 undefined

0 undefined

0.5 0.17

1 0.47

2 0.77

10 1.47

Finally, we can build the graph as follows:

Assuming your teacher wants you to use 3.14 for pi, then,

C = circumference = perimeter around the circle

C = 2*pi*r

r = C/(2*pi)

r = (25.12)/(2*3.14)

r = 4 inches is the radius

The radius of the circle is 4 inches

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the circumference of the circle be = A

Now , Circumference A = 25.12 inches

The circumference of circle = 2πr

π = 3.14

Substituting the values in the equation , we get

2πr = 25.12

Divide by π on both sides , we get

2r = 8

Divide by 2 on both sides , we get

r = 4 inches

Therefore , the value of r is 4 inches

Hence , The radius of the circle is 4 inches

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The volume of aggregate that she needs to build the patio is 13.18 ft^3

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

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23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

the absolute value function written as a piecewise function is:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

The absolute value function:

y = |x|

works as follows:

That is a piecewise function.

Now, in our case:

f(x) = |x + 8| can be rewritten to:

f(x) = x + 8      if     (x + 8) ≥ 0

f(x) = -(x + 8)     if    (x + 8) < 0.

Now we should simplify the inequalities, so we get:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

Here we have the absolute value function written as a piecewise function.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

the answer is 57

Step-by-step explanation:

because you round to the nearest foot which it means that the answer good luck hope this helps

Solution

Given that

Let's draw the two diagrams for angles A and B

Hence,

Therefore,

The value of b for the cost function F(x)

= mx + b, of a membership plan in car sharing offer ( picewise function) is -64.

We have, yaster car sharing offers a membership plan, the fee of complete month = $42 includes 13 hours of driving each month.

Additional charges for each hour = $8

Let F(x) be the cost for a month in which member uses a car for x hours. F(x) is Piecewise function defined as F(x)= 42, for 0≤x≤ 13,

F(x) = mx+b, for x> 13 for some scalars m and b. We have to determine value of b.

When member uses a car for more than 13 hours, x> 13, For 13 hours monthly fee would be $42 and for hours after 13 hours (x- 13) hours the fee would be $8 for each hour. So, the cost would be

= (x - 13)8+ (42)

Simplify the expression,

= 8x - 104 + 42

F(x) = 8x - 64

Now, comparing the above expression of f(x) with F(x) = mx + b, we get m= 8 , b = - 64 . Hence the required value is - 64.

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Complete question:

Yaster Car Sharing offers a membership plan with a $42 per month fee that includes 9 hours of driving each month and charges $8 for each additional hour. Let F(x) be the cost for a month in which a member uses a car for x hours. Then F(x) is the piecewise function

F(x)= 42, for 0≤x≤ 13

F(x)=mx+b, for x> 13 for some scalars m and b. Find b. Round to the nearest whole number.

Answer:

40\(\pi\) or 125.66

Step-by-step explanation:

Use the formula 2\(\pi\)r² + 2\(\pi\)rh

2\(\pi\)(2)² + 2\(\pi\)(2)(8)

8\(\pi\) + 32\(\pi\)

= 40\(\pi\) or 125.66

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

The length and width of the rectanhle are Length = 7y and Width = 2y^2 - 9

To find the expressions for the greatest common factor (GCF) of the length and width of a rectangle with an area of 14y^3 - 63y, we can factor the area expression and look for common factors.

14y^3 - 63y = 7y(2y^2 - 9)

The GCF of the length and width will be factors of both 7y and 2y^2 - 9.

The only common factor is y, so the length and width expressions are:

Length = 7y

Width = 2y^2 - 9

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Answer:

Step-by-step explanation:

First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS

Second:

1lb=16oz

5oz≈1/3lb

149×5=745 ((I have no idea where this is going))

745oz=46.5625 ((You can do the rounding my head hurts.))

Answer:

1000g

Step-by-step explanation:

Greetings from Brasil...

from notable products:

A² - B² = (A + B)·(A - B)

bringing to our problem:

9 - G² = (3 + G)·(3 - G)

Factoring 24G + 8G²:

8G(3 + G)

So, we have:

{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}

So the  least common denominator is: 3 + G

\(\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}\)

Answer:

480 is the correct answer

Step-by-step explanation:

All you have to do is multiply all together.

May I have brainliest?

Answer: it going to be 10.2% percent

Step-by-step explanation: that how you get your answer as your -

10.2 %

Answer:

Amadi: 20 years old

Chima : 4 years old

The Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

According to the question,

Colors for room are { w, o,r}

Entertainment center would be { c, e, m}

A set that consists of all possible outcomes and the result from a random experiment( real or conceptual) is called a sample set. The experiment of tossing a coin results in either of two possible outcomes; a head (H) or a tail (T). The sample space for this experiment is S= {H, T}. If we take a sample space by tossing two coins the result would be S={HH, HT, TH, TT}.

So, the Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

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