Multiply. Write the answer in simplest form.<br> 1/2 x 3/5 x 4/9

If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb, bbg, bgb,

harkovskaia [24]

Answer:

a.S={hh,sh,hs,ss}

b.tex]\frac{1}{4}[/tex]

c. $\frac{1}{2}$

Step-by-step explanation:

We are given that a sample space of three children

S={bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg}

a.We have to construct similar space for two children where h for healthy and s for sick.

Then the sample space of two children

S={hh,sh,hs,ss}

b.Number of cases favorable to two healthy children=1

Total number of cases=4

Number of cases for two healthy children=1

Probability =Number of favorable cases divided by total number of cases

Probability= $\frac{1}{4}$

Hence, the probability of getting two healthy children= $\frac{1}{4}$

c.We have to find the probability of getting exactly one healthy child and one sick child

Number of cases of one healthy child and one sick child={hs,sh}=2

Probability= $\frac{2}{4}=\frac{1}{2}$

Hence, the probability of getting exactly one healthy child and one sick child= $\frac{1}{2}$

6 0

3 years ago

Which step is not necessary when solving this system of equations by graphing? 3x-y=4 x+y= -4

lions [1.4K]

Answer: The answer is C: determine the shaded area for each line.

Just took the test on Edg.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

the area of a rectangular volleyball court is 1800 square feet the courts length is twice it width write a system of equations t

Marianna [84]

Answer:

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

Step-by-step explanation:

Let

x ----> the length of rectangular volleyball court

y ---> the width of the rectangular volleyball court

we know that

The area of the rectangular volleyball court is equal to

$A=xy$

$A=1,800\ ft^2$

so

$1,800=xy$ ----> equation A

$x=2y$ -----> equation B

substitute equation B in equation A

$1,800=(2y)y$

$1,800=2y^2$

Solve for y

Simplify

$900=y^2$

take square root both sides

$y=30\ ft$

<em>Find the value of x</em>

$x=2y$

substitute the value of y

$x=2(30)=60\ ft$

therefore

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

7 0

3 years ago

A teacher gives each of five students a box that contains 25 red balls, 25 blue balls, 25 green balls, and 25 purple balls. The

liubo4ka [24]

The answer is a the more balls means the more chance a desired color will be chosen

8 0

3 years ago

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Minchanka [31]

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

7 0

2 years ago

Multiply. Write the answer in simplest form. 1/2 x 3/5 x 4/9