In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.

Answers

Answer 1

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776


Related Questions

The radius of a circle is 3 in. Find its area to the nearest tenth.

Answers

Answer:

28.27 in²

Step-by-step explanation:

A= π r² = π · 3² ≈ 28.27433in²

rounded: 28.27in²

hope this helped!

Steps:

Shape: Circle

Solved for area

Radius: 3 in

Formula: A=πr2

Description:

Using the formula for the area A=πr2. We calculate the area of a circle. Your answer will come as A≈28.27in² after calculating. Round it up to the nearest tenth = 28.27. So it will be the same number when you round it.

Answer: A≈28.27in²

Nearest tenth = 28.27

Please mark brainliest

Hope this helps.

What is the median of the data in this stem-and-leaf plot? 21 22 23 24 Untitled Stem and leaf plot. Vertical line separates each stem number from its first leaf number. First row. Stem 1. Leaves 4, 5, 7. Second row. Stem 2. Leaves 1, 2, 4, 4, 6. Third row. Stem 3. Leaves 0, 2. Key. 2 vertical line 1 means 21.

Answers

Answer: median is 22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

median means middle and because there is 4 digits, you have to find the middle of 22 and 23 which is 22.5

What is the quotient?
Please help

Answers

The second one.
Hopefully that helped.

Answer: 4 x 10^12

Step-by-step explanation: first you distribute the powers into tens. Any multiply 10 to the eighth power to six, and multiply 10 to the -4th power to 1.5. After that you divide the first number in parentheses by the second number in parentheses. This answer on a regular calculator would be 4+12 zeros. Thus creating the answer 4,000,000,000. Which is, simplified in scientific notation, 4×10 to the 12th power.

How high is a stack of library books in one book is one and 3/8 in high the second book is one and 5/6 in high and the third is 2 1/3 in high explain how you solve this problem?

Answers

Answer:

3 7/8 inches high

Step-by-step explanation:

You convert mixed numbers into improper fractions and use the LCM property in order to add all the numbers together

OK i was right the first time

I hope this helped and I hope it is right:)

simplify the radical expression 4 sqrt y to the 12th power

Answers

Answer:

Square root of four is 2 and two to the 12th power I hope that helps

Which graph decreases, crosses the y-axis at (0, - 7), and then remains
constant?

A. Graph B
B. Graph C
O C. Graph A

Answers

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

C Graph A is your answer

PLS HELP ASP HURRY BEST GETS BRAINLESST AND FOLLOW​

Answers

Answer:

4.07g= 4070mg

9kg= 9000g

Step-by-step explanation:

Thank me later

Hope this helps!!!

Please help asap, djdbhd

Answers

____________________________________

Hey!!!

Solution,

X+68.5+49.5=180(sum of angle of triangle)

or,X+118=180

or,X=180-118

X=62 degree

Hope it helps

Good luck on your assignment

Stay safe....

___________________________________

Solve this equation for x. Round your answer to
the nearest hundredth.
1 = In(x + 4)

Answers

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(x + 4) = 1 , then

x + 4 = [tex]e^{1}[/tex] ( subtract 4 from both sides )

x = [tex]e^{1}[/tex] - 4 = - 1.28 ( to the nearest hundredth )

Whats the area of the figure ?

Answers

Answer:

82 square feet.

Step-by-step explanation:

You count the amount of 1ft x 1ft squares in the diagram and multiply that number by itself.

PLEASE HELP!
Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guy wires for the first few months after planting. If Brianna places the guy wires 6 feet up the trunk of the sapling and 5 feet from the base, how much total wire, to the nearest tenth of a foot, will she need for the two guy wires? *

Answers

Answer:

15.6 feet

Step-by-step explanation:

The total length of the two wires for planting the sapling is L = 15.6 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the total length of the two wires for the sapling be L

Now , let the triangle be represented as ΔABC

where the base of the triangle BC = 5 feet

The height of the triangle AB = 6 feet

And , the hypotenuse of the triangle AC = length of one wire

So , L = 2 ( AC )

On simplifying , we get

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The length of 2 wires = 2AC = 2√ ( AB )² + ( BC )²

The length of 2 wires = 2AC = 2√ ( 6 )² + ( 5 )²

The length of 2 wires = 2AC = 2√ ( 36 + 25 )

The length of 2 wires = 2AC = 2√61

On further simplification , we get

The length of 2 wires = 2AC = 2 x 7.8

The length of 2 wires = 2AC = 15.6 feet

Hence , the length of the wires for the sapling is 15.6 feet

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Carson is a salesman at an insurance company. He receives a monthly salary of $907.00 and a $244.00 commission on each
policy he sells. If Carson receives his commission check at the end of the month along with his salary check, which of the following
equations can be used to determine his total pay for the month.
(Let x represent the number of policies sold and y represent the total amount of pay for the month.)
A. y = 907x + 244
B. y = 244x + 907
C.y = 24.4x + 907
D. y = 244x

Answers

The answer is B

Step by step explanation:
Y = total amount made per month
X= the number of policies sold

Since you don’t know how much he sells per month you would do
Y= $244x + $907

PLEASE HELPPPP ! to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t . A weeks B dollars C jobs D hours PLEASE HELPPPPPP MEEEEE

Answers

Answer:

D

Step-by-step explanation:

We need to know how many hours left she needs to work, not how many weeks because it is for one week. It is not money because her requirment is not about how much money you make per week. It is also not jobs because in the requirements, there is nothing that talks about jobs.

Please list all the vertices of this figure

Answers

Step-by-step explanation:

BAC, BCA, CBA, ACG, ABE, EGC, GEB, EDG, EDA are all vertical of this figure.

Kelly has 2 liters of milk in the refrigerator. she used 1/2 liter of milk in the morning with breakfast. she then use the same quantities of milk at both lunch and dinner, such that she used up all the milk. what quantity of milk does she use at dinner?

Answers

Answer:

3/4 liter

Step-by-step explanation:

Kelly starts at 2 liters, then uses 1/2 liter in the morning, so we have 1 1/2 liters. Then, the rest is used for lunch and dinner, and both being the same amount, she used 3/4 liter of milk for dinner.

3/4 litres of milk used by her at dinner.

How to elaborate the problem ?

Kelly has 2 litres of milk in her refrigerator.

She used 1/2 litres of milk with the breakfast in morning.

Remaining milk in her refrigerator = (2- 1/2) litres = 3/2 litres

What is the quantity of milk she use at dinner ?

By the problem, She use the same quantities of milk at both lunch and dinner.

So, She use half of the remaining milk at dinner.

∴ The quantity of milk used by her at dinner = 1/2 of 3/2 litres

                                                                          = (1/2 × 3/2) litres

                                                                          = 3/4 litres

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Francisco had a rectangular piece of wrapping paper that was 14 1/3 inches on two sides and 19 inches on the longer sides. Monica has a similar piece of paper with two longer sides that each measure 38 inches. What is the measurement of one of the two shorter sides in Monica's wrapping paper?


A. 26 2/3 inches

B. 28 2/3 inches

C. 29 1/3 inches

D. 57 1/3 inches

Answers

Answer: B

Step-by-step explanation: the similar paper appears to be 2 times larger then Fransicos since 38/19=2, so I did 14 1/3*2 which equals 28 2/3, so the answer is B

Answer:[tex]28\frac{2}{3}[/tex]

Two triangles both have angles that measure 30º, 60º, and 90º. Two quadrilaterals both have angles that measure 60º, 90º, 90º, and 120º.
Which statements must be true? I. The two triangles are congruent. II.
The two triangles are similar.
III. The two quadrilaterals are congruent
. IV. The two quadrilaterals are similar.

A Statements I, II, III, and IV
B Statements I, II, and IV
C Statements II and IV
D Statement II only

Answers

Answer:

Option C

Step-by-step explanation:

If all the angles are equal in a triangle and a quadrilateral, they are similar. They are not congruent since the length of the sides may vary.

The triangles are similar by AAA or AA similarity criterion.

Please answer correctly !!!! Will mark brainliest !!!!!

Answers

Answer:

-7≤x≤7

Step-by-step explanation:

The domain is the input values

X goes from -7 to 7 inclusive

PLEASE URGENT: 30 POINTS GIVEN

Jen wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $5000 for 6 years. She makes no payments except the one at the end of that time.

Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Jen have to pay?
$
(b) What will the total repayment amount be (including interest)?
$

Answers

If they lend her 5000 for 6 years, and the annual interest is 4%, you would get 24% total interest

A) 1200

For B, you add the 5000 to the interest.

B) 6200

Answer:

6200 i think

Step-by-step explanation:

Besides phone numbers, what are the other categorical variables in your survey? (The survey asks for family size, the kind of pets they have, the grade of the youngest child in the family, the family's annual income in dollars, what the dad does for a living, whether the mom works, and their phone number.)
A.
Everything but annual income

B.
Grade of youngest child, dad's occupation, whether mom works, and kind of pets

C.
Family size, dad's occupation, whether mom works, and kind of pets

D.
Everything but family size

E.
Dad's occupation, whether mom works, and kind of pets

Answers

Answer:

I believe it would be C.

Step-by-step explanation:

Answer:

Grade of Youngest child, dad's occupation, whether mom works, and kinds of pets

Step-by-step explanation:

Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.

Answers

Answer: [tex]t=\dfrac{250}{x}[/tex]

Step-by-step explanation:

Given

Jose drives [tex]300\ miles[/tex]

In first 150 miles he 1.5 times faster than the second half

Let [tex]x (miles/hr)[/tex] be the speed on the second half so

in first half speed is [tex]1.5x[/tex]

time taken in first half [tex]t_1=\dfrac{\text{Distance}}{\text{speed}}[/tex]

[tex]\Rightarrow t_1=\dfrac{150}{1.5x}[/tex]

For second half

[tex]\Rightarrow t_2=\dfrac{150}{x}[/tex]

Total time [tex]=t_1+t_2[/tex]

[tex]t=\dfrac{150}{1.5x}+\dfrac{150}{x}[/tex]

[tex]t=\dfrac{250}{x}\ hr[/tex]

For the school dance only three members from the student government sold tickets. James sold ten more tickets than Bonnie and Bonnie sold twice as many tickets as Mike.1) Write an algebraic expression to represent how many tickets each boy sold.

Answers

I know you're looking for an answer but in doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(

PLS HELP. Write an equation that represents the clues given. Clue #1: The sum of six times the first number and four times the second number is equal to 550. Clue #2: The sum of half the first number and four times the second number is equal to 1000

Answers

Answer:

Clue#1:  6x+4y=550

Clue #2:  1/2x+4y=1000

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The first number will be x, and the second number y:

The sum of six times the first number and four times the second number is equal to 550

Six times the first number means that the first number must be multiplied by 6.(6x); the same for four times the second number (4x).

6x+4y=550

The sum of half the first number and four times the second number is equal to 1000

Half the first number means the first number (x) divided by 2,or multiplied by 1/2.  

1/2x+4y=1000


Hugo wants to make a sandwich using
Wrap (W) or Baguette (B)
and
Cheese (C) or Turkey (T)
and
Mayonnaise (M) or Ketchup (K)
a) List all the possible types of sandwiches Hugo could make.
One has been done for you (write all your answers on one line).
WCM,
b) What fraction of the possible types of sandwich have Turkey and Ketchup?

Answers

Answer:

Part B is 1/4

Step-by-step explanation:

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Types of sandwiches Hugo could make

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

A fraction of the possible types of sandwiches have Turkey and Ketchup

b) 1/4

Algebra

a) For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

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Find the value of X in the triangle shown below

Answers

Answer:

Choice A (x=5)

Step-by-step explanation:

You can get you answer either by using the 3-4-5 Triangle Rule or the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex])

Using the Pythagorean theorem:

Begin by plugging in 4 into a and 3 into b

[tex]4^{2} +3^{2} =c^{2}[/tex]

[tex]16 +9 =c^{2}[/tex]

[tex]c^{2}= 25[/tex]

Then, find the square root of each side

[tex]\sqrt{c^{2} } =\sqrt{25}[/tex]

[tex]c =5[/tex]

Choice A (x = 5) is your answer

Answer:

A. x=5

Step-by-step explanation:

This triangle is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that 4 and 3 are the legs, because they form the right angle. We also know that x is the hypotenuse, because it is opposite the right angle.

a=4

b=3

c=x

Substitute these values into the formula.

[tex]4^2+3^2=x^2[/tex]

Evaluate the exponents.

4^2 is the same as 4*4, which is 16.

3^2 is the same as 3*3, which is 9.

[tex]16+9=x^2[/tex]

Add 16 and 9.

[tex]25=x^2[/tex]

We are trying to find x, which means we have to get x alone. x is currently being squared. To undo this, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{25}=\sqrt{x^2}[/tex]

[tex]\sqrt{25}=x[/tex]

[tex]5=x[/tex]

Therefore the correct answer is A: x=5

Which statement is true about lines a and b?

Answers

Answer:

D

Step-by-step explanation:

well the are obviously not parallel perpendicular line are right angled and the intersect so they are not skew lines

Purchasing an item costing (x) amount before a 6.5% tax could be represented by which of the following?
A. x - 0.065x
B. x + 0.065x
C. 0.935x
D. 1.065x
E. Both A & C
F. Both B & D
will mark BRAINLIEST

Answers

The Answer is f both B & D

Help Plz
A rectangular swimming pool is 19 meters long, 10 1/2 meters wide, and 5 1/2 meters deep. What is its volume?

Answers

Answer:

The volume is 1097.25 meters cubed.

Step-by-step explanation:

Answer:

Hello There. The correct answer 1,410.75 is you need to find the volume of length x width x height. Then multiply of the numbers what i just put there.

19m× 13.5m× 5.5m= 1,410.75 meters.

Hope It Helps! .ω.

ItsNobody

The relationship between two quantities that increase or decrease together is
called

Answers

Answer:

Indirect Variation

Step-by-step explanation:

Help. Use two points on the line to find the equation of the line in,standard form

Answers

Answer:

3x - 4y = - 12

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Calculate the equation in slope- intercept form

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0+4}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form

Multiply through by 4

4y = 3x + 12 or

3x + 12 = 4y ( subtract 12 from both sides )

3x = 4y - 12 ( subtract 4y from both sides )

3x - 4y = - 12 ← in standard form

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