A couple decides to keep having children until they have a girl, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability distribution of X=, equals the number of children such a couple would have.
X=# of children 1 2 3
P(X), .5 .25 .25
Given that \mu_X=1.75μ
X

=1.75mu, start subscript, X, end subscript, equals, 1, point, 75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
\sigma_X\approxσ
X

≈sigma, start subscript, X, end subscript, approximately equals
children

Answers

Answer 1

Answer:.83

Step-by-step explanation:

Khan academy

Answer 2

From the discrete distribution given, the standard deviation is of 0.83 children.

The distribution is:

[tex]P(X = 1) = 0.5[/tex]

[tex]P(X = 2) = 0.25[/tex]

[tex]P(X = 3) = 0.25[/tex]

The mean is 1.75.The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.

Hence:

[tex]\sqrt{V(X)} = \sqrt{0.5(1 - 1.75)^2 + 0.25(2 - 1.75)^2 + 0.25(3 - 1.75)^2} = 0.83[/tex]

The standard deviation is of 0.83 children.

A similar problem is given at https://brainly.com/question/24188569


Related Questions

HELP ASAP. please show work tysm! solve for x

Answers

Answer:

71

Step-by-step explanation:

vertical sides  are congruent

x+30=101

x=71

Could someone help me with this due in 2 hours!!!!! Been working on this for 6 hours choosing brainliest!!!!

Answers

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Question #1

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

10 in + 2 in > 11 in10 in + 11 in > 2 in 11 in + 2 in > 10 in

The missing side length should be labeled as 2 inches.

Question #2

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

2 in3 in4.5 in 6.5 in10 in13.5 in14 in15.5 in

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

B. 3 inC. 4.5 inD. 6.5 inE. 10 inF. 13.5 in Question #3

We are given these possible side lengths:

2, 4, 5, 6, 10

Let's test out which combinations will create a triangle.

2 + 4 > 5 5 + 2 > 44 + 5 > 2

The straw lengths 2, 4, and 5 will form a triangle.

2 + 5 > 6 5 + 6 > 22 + 6 > 5  

The straw lengths 2, 5, and 6 will form a triangle.

2 + 6 > 4 4 + 2 >/ 6

The straw lengths 2, 4, and 6 will NOT form a triangle.

4 + 5 > 66 + 5 > 4 4 + 6 > 5

The straw lengths 4, 5, and 6 will form a triangle.

5 + 6 > 10 10 + 5 > 66 + 10 > 5

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

[tex]{\sf{\bold\green{\fcolorbox{grey}{grey}{✅\:\:Verified\:\:answer}}}} [/tex]


A
B
C
D
Help please







Answers

The correct answer is B 65 !!

Find the slope and the y -intercept of the line.
Write your answers in simplest form.
6x + 2y = -2

Answers

Answer:

slope= -3x

y-intercept=-1

Step-by-step explanation:

your line is y=-3x-1

if x= 0, 2,-2 find the value of x3-1 help plz ​

Answers

when x =0

[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]

When x =2

[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]

when x =-2

[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]

Use the double bar graph below to answer the following question.

Which city decreased in population between 1990 and 2000?



Philadelphia
Dallas
Phoenix
San Diego

Answers

Pretty sure it’s Philadelphia

Answer:

It would be Philadelphia

y=1/3 x-4 system of equations

Answers

Answer:

What are you asking?

Step-by-step explanation:

Answer:

y=x/3-4

Step-by-step explanation:

you get this answer by combine your x with your fraction. since this equation is belonging to system of equations you must combine the variable with your systematic equation.

Find the volume of the cylinder. Use 3.14 for Tr.

Answers

Answer:

area = 42.41

a=2nrh×2nr²

a=2(3.14)(1.5)(3)+2×3.14×1.5²

a=42.41

Cik Ain deposited RM5 000 at a bank with an interest rate of 4% per annum.
(a) Calculate the total savings of Cik Ain after she has saved for 1 year.​

Answers

Answer: RM 5200

Step-by-step explanation:

Principal = RM5000

Rate = 4%

Time = 1 year

Simple Interest = PRT

= 5000 × 4% × 1

= 5000 × 0.04 × 1

= 200

Now, the total savings will be the addition of the principal and the interest which will be:

= RM 5000 + RM 200

= RM 5200

coordinate planes
again

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

geometry:)
i’ll give a brainiest!!!

Answers

Sorry but I don’t know

After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?

Answers

Answer:

$67.2

Step-by-step explanation:

8% of $52.50

52.5 × 8/100 = $4.2

20% of $52.50

52.5 × 20/100 = $10.5

total

$52.5 + $4.2 + $10.5 =$67.2

A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!

Answers

Answer:

[tex](17a-1)(x+1)[/tex]

Step-by-step explanation:

Given: Expression is [tex]17ax+17a-x-1[/tex]

To factor: the given expression

Solution:

Take [tex]17a[/tex] common from the first two terms and [tex]-1[/tex] from the last two terms.

[tex]17ax+17a=17a(x+1)[/tex]

and

[tex]-x-1=-(x+1)[/tex]

So,

[tex]17ax+17a-x-1=17a(x+1)-1(x+1)\\=(17a-1)(x+1)[/tex]

Therefore,

[tex]17ax+17a-x-1=(17a-1)(x+1)[/tex]

Please help!!! Find the value of h for the parallelogram shown.

Answers

Answer:h=11.2

Step-by-step explanation:

From the figure, we can write

[tex]\Rightarrow \sin x=\dfrac{8}{10}=\dfrac{4}{5}\\\\\Rightarrow x=53.13^{\circ}[/tex]

Also, [tex]\sin x[/tex] can be written as

[tex]\Rightarrow \sin x=\dfrac{h}{14}\\\\\Rightarrow \dfrac{4}{5}=\dfrac{h}{14}\\\\\Rightarrow h=11.2\ \text{units}[/tex]

Answer: h = 11.2

explain: I can't do this much but hope this helps.

HELPPP PLEASEEEEE ON NUMBER 7!!!!!!

Answers

Answer:

D is the answer since you added all the numbers together ten divide by five

Answer:

D

Step-by-step explanation:

We need to find the missing value to make sure it averages out to 250.

So they will be 5 rounds of different scores.

Since we dealing with averages, we need to set up a

equalivent equation to 250. We would add up all our previous scores and try to find the new x score and divide it by 5 and set it equal to 250. So our equation will look like.

Let x represent of our next game.

[tex] \frac{236 + 274 + 246 + 236 + x}{5} = 250[/tex]

Multiply by 5 both sides

[tex]236 + 274 + 246 +236 + x = 1250[/tex]

[tex]992 + x = 1250[/tex]

[tex]x = 258[/tex]

d is the answer

What is the force behind a 5 kg
bowling ball with an acceleration of 5
m/'st?

Answers

I believe that 25 is the force

A 7-pack of clay pots costs $28.49. What is the unit price?

Answers

Answer:

$4.07

Step-by-step explanation:

You divide 28.49 by 7

7 into 28= 4

7 into 4= 0

7 into 49= 7

FIRST TO ANSWER GETS BRAINLIEST!

The diagram shows a 140° sector in a circle of radius 8 units.
140°
8
What is the approximate area of the shaded sector?
0 25 square units
O 67 square units
O
78 square units
156 square units

Answers

Answer:

[tex] \huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:circlePEMDAStips and formulas:[tex] \rm \:A_{shaded}= \dfrac{\theta}{360} \times \pi {r}^{2} [/tex]let's solve:[tex] \sf sustitute \: the \: value \: of \: \theta \: and \: r : \\ A_{shaded} = \frac{140}{360} \times \pi \times {8}^{2} [/tex][tex] \sf simpify \: squre : \\ A_{shaded} = \frac{140}{360} \times \pi \times 64[/tex][tex] \sf simpify \: fraction: \\ A_{shaded} = \frac{7}{18} \times \pi \times 64[/tex][tex] \sf reduce \: 64: \\ A_{shaded} = \frac{7}{ \cancel{ \: 18} \: ^{9} } \times \pi \times \cancel{ 64} \: ^{32} \\ A_{shaded} = \frac{7}{9} \times \pi \times 32\\ A_{shaded} = \frac{224\pi}{9} [/tex]

[tex]\large A_{shaded}\approx 78 \: square \: units [/tex]

Classify the triangle as acute, right, or obtuse based on the side lengths of 8, 11, and 14.

Answers

Answer:

Obtuse

Step-by-step explanation:

[tex]8^2+11^2=14^2\\64+121=196\\185=196[/tex]

Since the hypotenuse is bigger, the triangle is obtuse

It’s obtuse!!!!!!!!!

Which number line best represents the solution to the inequality 3.3w - 9 > -22.2?
picture ↓

Answers

Answer:

solve the inequality in the form of w

I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?

Answers

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

Find the measure of ∠h in the figure given below. assume that the lines are parallel.

Answers

Answer:

70 - b

Step-by-step explanation:

b= 110 so d = 110 - they are opp. angles

d and e are alternate interior angles which add up to 180

d = 110

e =?

e = 180-110 =70

e and h are equal bc they are opp. angles

e=70 and therefore h=70 as well

Helpppppp pleaseeeeeeeee

Answers

Answer:

Thus, 11/30 is the simplified fraction for 55/150 by using the GCD or HCF method.

Step-by-step explanation:

I don't understand this, what's the answer? ​

Answers

Answer: y⁷
Steps: y¹¹ x y⁻⁴ = y¹¹⁺⁻⁴ = y⁷

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Answers

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)

Answers

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

please give brainliest to my answer

be sure to follow me

stay safe

What’s the answer to this?

Answers

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

what is the area of these parallelograms? 1. the perimeter is 33
2. the perimeter is 64

Answers

Answer:

4.5 + 4.5 + 7.5 + 3 + 9 + 4.5 = 33 is the perimeter of the first shape

The area is (4.5 x 7.5) + (3 x 9) = 60.75

(Cut the figure)

Perimeter of the Second Shape is:

22 + 22 + 10 + 10 = 64

Area is: 22 x 10 = 220

Area of a parallelogram is: L x W

In OPQ the measure of Q=90 O=76 and OP=7.3 feet find the length of PQ to the nearest tenth.

Answers

Answer: sinO=

hypotenuse

opposite

=

7.3

x

sin

76

=

x

7.3

sin76=

7.3

x

7.3

sin

76

=

x

7.3sin76=x

x

=

7.0832

7.1

feet

x=7.0832≈ 7.1 feet

Step-by-step explanation:

Answer:

the correct answer is 7.1

Step-by-step explanation:


can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!

Answers

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

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