Consider an individual selected at random from a sample of 750 married women (see the data in the file P05_61.xlsx) in answering each of the following questions. Round your answers to three decimal places, if necessary.
A. What is the probability that this woman does not work outside the home, given that she has at least one child
B. What is the probability that this woman has no children,given that she works part time?
C. What is the probability that this woman has at least two children,given that she does not work full time?

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

r = 0.023104906

Step-by-step explanation:

Given half life = T = 30 yrs.

Decay constant = r.

Using the decay constant formula:

\(r=\frac{\ln2}{T}\\r=\frac{\ln2}{30}\\r=0.023104906\)

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Answer:

The dimensions of the garden are not provided in the question, so it is not possible to determine the area for which Jane needs to buy mulch. Without knowing the dimensions, there is not enough information to answer the question.

Step-by-step explanation:

Answer:

26 remainder 2

Step-by-step explanation:

5 - 3 =2

2 + 78 = 80

80 ÷ 3

3 can go into 8 twice remaining with 2

2 goes across to 0

3 can go into 20 6 times because 3×6= 18

so 3 into 20 is 6 remainder of 2

answer= 26 remainder of 2

Answer:

\(= 26 \frac{3}{2} \\ \)

Step-by-step explanation:

\(5 - 3 + 78 \div 3 \\ 2 + 78 \div 3 \\ 80 \div 3 \\ = 26 \frac{3}{2} \)

hope this helps you

The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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Answer:

135 !!!!!!!!!!!!

Step-by-step explanation:

Your welcome!!!

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:213.7

Step-by-step explanation:

Answer:

7:55 PM

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 24 pieces of pizza

Step-by-step explanation:

If you have one pizza and cut that into 6 pieces (which is what it means by sixths) that means you have 6 pieces per pizza. Since you have 4 pizzas and 6 slices each that means you multiply 4 by 6 to get the answer. Which ends up being 24 pieces.

Mr. Davis has 24 pieces of pizza for the family dinner.

In mathematics, an expression is a combination of symbols and numbers that represent a mathematical quantity or relationship.

It can consist of variables, constants, operators, and functions, and may include arithmetic operations, exponents, and other mathematical operations.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the total number of pizza slices, we need to first determine the total number of slices in one pizza, and then multiply that by the number of pizzas.

Since each pizza is cut into sixths, there are 6 slices in one pizza.

So,

For 4 pizzas, the total number of slices is:

Total number of slices

= 4 x 6 = 24

Thus,

Mr. Davis has 24 pieces of pizza for the family dinner.

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Answer:

I think it's a true

I hope it's helps you

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

180

Step-by-step explanation:

The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:

I believe that's the solution!

sorry for my letters...

Answer:

26.6°

Step-by-step explanation:

Answer: 26.6

Step-by-step explanation:

All you have to do i search the answer. They will give it to you automatically

In order to solve a literal equation, we just need to isolate the chosen variable in one side of the equation. So we have:

The functions, f(x) , and g(x), indicates that we get;

(a) (f ○ g)(x) = 3/(x + 3)

(b) The domain is; -∞ < x < ∞, x ≠ -3

A function is a rule, law or definition of the relationship that maps an input variable to an output value.

The functions in the question are;

\(f(x) = \frac{x}{x + 2}\)

\(g(x) = \frac{6}{x}\)

(a) The composite function, (f ○ g)(x), can be found as follows;

(f ○ g)(x) = f(g(x))

Therefore;

\((f\circ g)(x) = \frac{\frac{6}{x} }{\frac{6}{x} +2} =\frac{\frac{6}{x} }{\frac{6+ 2\cdot x}{x}}\)

\((f\circ g)(x) = \frac{\frac{6}{x} }{\frac{6+ 2\cdot x}{x}} = \frac{6}{x} \times \frac{x}{6 + 2\cdot x}\)

\(\frac{6}{x} \times \frac{x}{6 + 2\cdot x} = \frac{3}{x + 3}\)

Therefore;

(b) The domain, which is the set of the possible values of the input variable can be found as follows;

(f ○ g)(x) = 3/(3 + x), at x = -3, we get;

(f ○ g)(x) = 3/(3 - 3) ∞

Therefore, the composite function is not defined at x = -3

The composite function is defined for other values of x, which indicates that we get;

The above interval can be expressed as; -∞ < x < -3 and -3 < x < ∞

Domain; -∞ < x  < ∞, x ≠ -3

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Answer:

mutlaply all of them then davide by 18 then u got ur answer

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

26 - 15 = 11

Take your decrease and divide it by the original price:

11/26 = 0.4230

Multiply 0.4230 by 100 to find the percent:

42.3

Round your answer and you would get -

42%

Answer:

42%

Step-by-step explanation:

You divide 15 by 26 and get 0.5769 and it continues with other numbers. to the nearest percent is 58. Then you subtract it from 100 and get 42%.

1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

Given that,

The formulas 1/4(10x+8) and -(1/2x+13) + 3(x+5) are being examined by three Math Club members for all possible values of x. According to the findings in the table, each student asserts that the expressions are connected.

We have to find which student is right.

Take the

1/4(10x+8) = 10/4x+8/4 = 5/2x+2

-(1/2x+13) + 3(x+5) = -1/2x-13+3x+15 = 5/2x+2

So, 1/4(10x+8)= -(1/2x+13) + 3(x+5)

Therefore, 1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

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Answer:

200 lbs

Step-by-step explanation:

Divide the total cost of the two books which is 50 by the current price for aluminum which is 0.25.

50/0.25=200

Answer:  3.5 pounds

Step-by-step explanation:

17+12.5=29.5

33-29.5=3.5

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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The amount that should be deposited monthly is $286.66.

The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.

The monthly deposit can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $20,000

Results:

Monthly Deposit = $286.66

Sum of all periodic deposits = $17,199.36

Total Interest = $2,800.64

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The correct statements regarding the domain and the range of the functions are given as follows:

For the square root function, we have that:

Hence if we multiply the function by a negative number, the domain of the function remains constant, but the range is changed.

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