What is the expected number of female children in a family with three children?
O 1
O 1.5
O 2
O 2.5

Answers

Answer 1

Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.

In the given question, we have to find the expected number of female children in a family with three children.

The possibility of having girls in family is 0,1,2 or 3.

From the 8 possible sequences, only one of them give the possibility of 0 girls.

So the probability of 0 girls is 1/8.

There are total 3 ways of having 1 girl.

That is: GBB, BGB, and BBG.

Thus, the probability of 1 girl is 3/8.

Similarly checking for having 2 girls with probability 3/8

Having 3 girls with probability 1/8.

The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.

The anticipated number of girls is therefore

= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3

= 0+3/8+6/8+3/8

=(3+6+3)/8

=12/8

=1.5

Hence, the expected number of female children in a family with three children is 1.5.

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Related Questions

3) Justin made some cookies for the holiday. She baked 10 sugar cookies, 18 chocolate chip cookies, and 15 ginger cookies. What is the ratio of sugar cookies to ginger cookies in simplest form?​

Answers

18:15

Divide each by GCF of 3

6:5 ——> answer

What fraction is equivalent to 21/42?​

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation

We can convert 21/42 by dividing both the numerator and denominator by 21 to get

1/2

Hopes this helps please mark brainliest

A bakery sold a total of 3028 coffee and blue berry buns.1560 more coffee buns were sold than blue berry buns.how many coffee buns did the bakery sell

Answers

Answer:

the bakery sold 1468 blueberry buns sooooo yeah

Step-by-step explanation:

please answer this question (answer is needed as a fraction) ​

Answers

Answer:

4/6 means 2/3 it is most likely 0, 67 or 0, 66.

Step-by-step explanation:

A bad contains 7 red marbels and 4 blue marbles
A marble is taken from the bag and replaced
another marble is taken from the bag

Work out the probability that the two marbles are the same colour
Give your answer as a fraction

Answers

Answer:

I think its 7/3 or 6/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Because there are 7 red and 4 blue marbles, there are 7+4=11  marbles in the bag.

So the ratio of all marbles to blue marbles is 11 to 4.

We write this as follows. 11:4

(b)There are 7 red marbles and 4 blue marbles in the bag.

So the ratio of red marbles to blue marbles is 7 to 4.

We write this as follows. 7:4

A Pre-K teacher has a total of 4/5 ounces of paint. Th teacher puts 1/30 ounces of paint at each table. If the teacher sets up an equal number of tables in the 2 Pre-K classrooms, how many tables does he set up in each classroom?

Answers

Answer:

12 tables per classroom.

Step-by-step explanation:

We will assume that the teacher uses all of the 4/5 oz of paint.  We can find how many samples of 1/30 oz are contained in the 4/5 oz by dividing:

(4/5)÷(1/30) = (4/5)*(30/1)

(4/5)*(30/1)  = (120/5)

(120/5) = 24 samples of 1/30 oz paint in (4/5) oz total paint.

Each of the 2 Pre-K classrooms have the same number of tables, so we can divide 24 samples by 2 to find the number of tables in each classroom,

*24 samples/2 classrooms) = 12 tables/classroom

javieretta earned $9.50 each hour she works at camp clap happy during summer vacation. she earned $304 one week in june and $247 during a week in july. how many hours did she work that week in june? please help

Answers

Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.

Javieretta earns $9.50 each hours she works at camp clap happy.

She earned $304 in week of june and $247 during a week in july.

Let us assume that she works X hours.

So, using unitary method, we can write,

X times the amount she earns in one hour = Earning in the week of june.

X(9.50) = 304

X = 304/9.50

X = 32 hours.

So, she worked for a total of 32 hours in the camp clap happy summer vacation.

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PLEASE HELP, NEED ASAP

Answers

Answer:

Step-by-step explanation:

Zach took a science test. He answered 42 questions correctly and 8 questions incorrectly.

What percentage of the questions did Zach answer correctly?

Answers

Answer:

84%

Step-by-step explanation:

correct answers = 42

incorrect answers =8

total mark=50

% of the correct =

[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%

Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9

Answers

Answer:

(3,0) (-3,0)

Step-by-step explanation:

ask:))

precipitation data was compiled and discretized into three states. 1. dry, 2. light rain, and 3. wet. given these states the tratisition matrix chain model of davis rainfall was computed as. what is the probability a dry day is followed by a light rain day

Answers

The probability a dry day is followed by a light rain day is 0.07.

Define probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Given.

Here, the markov chain's three possible states are listed as dry, light rain, and wet.

From the second number in the first row, the chance of a dry day followed by a light rain is calculated as follows: P(dry⇒ light) = 0.01.

Therefore, the necessary probability in this case is 0.01.

We currently have (wet⇒ light) - 0.07

Therefore, the necessary probability in this case is 0.07.

The probability a dry day is followed by a light rain day is 0.07.

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Given g(x)=-x-4g(x)=−x−4, solve for xx when g(x)=10g(x)=10.

Answers

The solution for x in the function when the function g(x) = 10 is 4

How to determine the solution for x in the function?

From the question, we have the following equation that can be used in our computation:

g(x)=x-4

To make the equation legible, we need to rewrite it

So, we have the following representation

g(x) = x - 4

Also from the question, we have

g(x) = 10

This means that we calculate x when g(x) = 10

Substitute the known values in the above equation, so, we have the following representation

10 = x - 4

So, we have the following equation

x - 4 = 10

Add 4 to both sides of the equation

So, we have the following representation

x - 4 + 4 = 10 + 4

Evaluate the equation

x = 14

Hence, the solution is 14

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Here is a rectangle.
5 cm
7 cm
5 cm
7 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shape.

Answers

The perimeter of the rectangle is =  48cm

What is permeter of rectangle?The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as the product of its length and width times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.

Acc to our question-

area: 7x5 cm, or 357cm + 7cm + 5cm + 5cm = 24simply add two rectanglesarea35+area35:area70perimeter24+perimeter24:perimeter48

Hence,The perimeter of the rectangle is =  48cm.

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Jada is working on solving a quadratic equation, as shown here.


p^2−5p=0

p(p−5)=0

p−5=0

p=5

She thinks that her solution is correct because substituting 5 for p in the original expression p^2−5p gives 5^2−5(5), which is 25−25 or 0.


Explain the mistake that Jada made.

Answers

Writing only p = 5 is a mistake since p = 0 is also a solution of the  quadratic equation

How to find the mistake she made in solving the quadratic equation?

Given the quadratic equation: p² −5p = 0

p² −5p = 0

p(p−5) = 0

p = 0 or p−5=0    

p = 0 or p = 5

Jada made mistake in the  3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0

Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0  

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Shipping Company A charges $14 plus $2.25 a pound to ship overnight
packages. Shipping Company B charges $20 plus $1.50 a pound to ship
an overnight package. For what weight is the charge the same for the two
companies?

Answers

For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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A line has a slope of -7 and includes the points (-2, -10) and (-3, h). What is the value of h?

Answers

Answer:

-3

Step-by-step explanation:

You can use  to find the slope of a line going through  and .

I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.

(6,h)

minus

(7,-10)

------------

-1     h-(-10)

This also said to be equal to -7:

Multiply -1 on both sides:

Subtract 10 on both sides:

[texh=-3[/tex]

So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.

Let's test it:

(6,-3)

minus

(7,-10)

----------

-1  7

So the slope is 7/-1=-7. This is the intended goal.

The check is good.

the p-value is a. a sample statistic. b. the same as the z statistic. c. a distance. d. a probability.

Answers

The p - value is d ) a probability .

Defining P - Value

P - Value : It is the probability of obtaining results at least as extreme as the  observed results of a statistical hypothesis test , assuming that the null hypothesis is correct . The p - value does not , in itself , establish probabilities of hypotheses . Rather , it is a tool for deciding , whether to reject null hypothesis or not .

A smaller p - value means that there is stronger evidence in favor of alternative hypothesis .

Hence , the p - value is d ) a probability .

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Write the equation for the absolute value function graphed
Thank you!

Answers

The equation using the absolute value function is x+2y-8=0.

What is an Absolute Value Function?The graph opens up or down depending on the value of variable a, which also indicates how far it stretches vertically.We can determine the graph's horizontal and vertical shifts using the variables h and k.The general form of the Absolute value function is f(x) = a|x-h| + k.

In the given graph, we have:

(h, k) ∈ (4, 2) and a = -1/2

In the general absolute value function, substitute these values:

Let's f(x) be y:

y = a | x - h | + k= (-1/2) |x-4| + 2 = (-x/2) + (4/2) +2 = -x/2 + 4   (Multiply with 2)2y = -x + 8x + 2y - 8 = 0

Therefore, the equation using the absolute value function is x+2y-8=0.

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-6 > v + 3/5 solve for the inequality for v and simplify your answer as much as possible

Answers

Answer: -33/5

Step-by-step explanation:

5/6 divided by
(- 13/7)

Answers

your answer would be -35/78
-35/78 should be your answer

Find the slope of the line between the given points.

(2,5) and (3,8)

Answers

Answer: m (slope) = 3

Step-by-step explanation: Slope Solution

m=rise run=ΔyΔx

m=y2−y1x2−x1

m=8−53−2

m=31

m = 3

Point Slope Form

y−y1=m(x−x1)

y−5=3(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−5=3(x−2)

y−5=3x−(3×2)

y−5=3x−6

y=3x−6+5

y=3x−1

m=3

b=−1

Hope this helps :)

Two integers, a and b, have a product of 20. What is the least possible sum? pls help lol

Answers

The least possible sum wen the integers, a and b, have a product of 20 is 9.

How to calculate the sum?

From the information given, two integers, a and b, have a product of 20. It should be noted that the values that an give a product of 20 will be:

1 × 20 = 20

2 × 10 = 20

4 × 5 = 20

Therefore, the sum of the factors will be:

1 + 20 = 21

2 + 10 = 12

4 + 5 = 9

The least possible sum is 9.

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Write an expression to represent:
4 times the difference of x and 2.

Answers

Answer:

4 times the difference of x and 2 is 4(x-2)

Betsie is going to buy 250 envelopes.
Here is some information about the cost of envelopes in two shops.

Letters2go
Pack of 25 envelopes for £3.19
Value World
Pack of 10 envelopes for £1.99
Buy 2 packs get 1 pack free

Betsie wants to buy the envelopes for the best possible price.
Which shop should Betsie buy the 250 envelopes from?
You must show how you get your answer.

Answers

Using mathematical operations, Betsie should buy the 250 envelopes from Letters2go Shop at a total cost of £319.

How is the total cost determined?

To determine the total cost, we first determine the unit cost of an envelope at each shop.

The unit cost is multiplied by the number of envelopes required less the cost of free envelopes at Value World.

The mathematical operations used include division and multiplication.

Deals:

Letters2go

Pack of 25 envelopes for £3.19

Value World

Pack of 10 envelopes for £1.99

Buy 2 packs get 1 pack free

                                              Letters2go         Value World

Cost per pack                           £3.19                     £1.99

Cost per envelope                   £0.1276                £0.199

The number of envelopes         250                     250

The number of packs                 10 (250/25)        25 (250/10)

Cost of free envelopes                                         £24.875 (25/2 x £1.99)

Total cost of envelopes        £319 (£3.19 x 10)    £472.63 (£1.99 x 250 - $24.875)                    

Thus, using mathematical operations, the total cost of 250 envelopes at Letter2go is less than the total cost at Value World.

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iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.

Answers

The Z score of the individual with IQ 90 is -0.67.

It is given that the scores are Normally distributed.

The mean given is 100 while the standard deviation is 15.

Let the IQ distribution be X.

Hence X follows a Normal distribution X~N(100, 225)

where

100 = mean

225 = standard deviation

To find the Z score we need to convert the following into the standard normal distribution.

To do that we need to follow

Z = ((x - μ) / σ)

here

μ = mean of the distribution = 100

σ = standard deviation of the distribution = 15

x = 90

Hence the Z score is

Z = (90 - 100) / 15

= -10/15

= -0.67

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would appreciate getting the answer

Answers

The value of angle 5 is 115°

What are corresponding angles?

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

angle 2 is 65°

angle 6 = angle 2 = 65°( corresponding angles)

angle 6 + angle 5 = 180( angles on a straight line)

65 + angle 5 = 180

angle 5 = `180 - 65

angle 5 = 115°

In conclusion, angle 5 is 115°

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Graph the inequality on the axes below −2x+y≥−6

Answers

A graph of the inequality (-2x + y ≥ -6) is shown in the image attached below.

What is a graph?

A graph simply refers a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given equation in slope-intercept form as follows:

-2x + y ≥ -6

Adding 2x to both sides of the inequality, we have the following equation:

-2x + y + 2x ≥ -6 + 2x

y ≥ -6 + 2x

Rearranging the equation in slope-intercept form, we have the following equation:

y ≥ 2x - 6

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Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y+3=-4(x-6)​

Answers

Answer:

4x + y = 21

Step-by-step explanation:

1. distribute in the parenthesis first, so the right side of the equation is not -4x+24

Right now the total equation looks like y+3 = -4x+24

2. Now we add the 4x to both sides to cancel it out on the left side, so we're left with:

4x+y+3=24

3. After that we can subtract the 3 from both sides to leave us with:

4x+y=21

AB (3x + 2) cm AC 11 cm BC (2y + 3) In the diagram, ABC is an equilateral triangle. Find the value of (x+y)​

Answers

For the given triangle ΔABC the value of (x + y) would be 7 cm.

What is an equilateral triangle?

An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.

Given data:

Length of AB = (3x + 2) cm.

Length of AC = 11 cm.

Length of BC = (2y + 3) cm.

The property of an equilateral triangle says that all sides of an equilateral triangle are equal.

then we can write,

                  AB = AC

               3x + 2 = 11

                3x = 11 - 2

                3x = 9

                x = 9/3

                x = 3 cm

Also, BC = AC

        2y + 3 = 11

        2y = 11 - 3

        2y = 8

          y = 8/2

          y = 4 cm

So the value of (x + y) = 3 +4

                                    = 7 cm.

Hence, For the given triangle ΔABC the value of (x + y) would be 7 cm.

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Rachel bought three and fifty-two hundred pounds of apples at the store. How is this written in number form?
3.0052
3.052
3.502
3.52

Answers

Answer:   3.52

Step-by-step explanation:   fifty-two hundredths as a number would be 0.52, so 3.00 + 0.52 would be 3.52

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