All categories

3 years ago

A family consists of a father, a mother and 2 children. What is the probability that all 2 children are boys?

Mathematics

1 answer:

pashok25 [27]3 years ago

4 0

Answer:

Step-by-step explanation:

The probability of having a boy is ½ and that of a girl is ½.

Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows

For these two children

The options are as follows

1 boy(first) and 1 girl

2 boys

2 girls

1 girl( first) and 1 boy

These are four possible options and the option for two boys is 1 out of the four.

The probability of 2 boys is ½*½=¼

You might be interested in

Last month, a factory produced 800 television sets. This month, the same factory produced 1,064 television sets. The increase in

Harlamova29_29 [7]

Your answer is 264
1,064 - 800= 264

5 0

3 years ago

Given CS=2x+1, SB=6x, CR=7.5, and RA=18. What must the value of x be in order to prove SR || BA? Justify your answer

Anna [14]

The picture in the attached figure

we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25

the answer is
x=3.25

5 0

3 years ago

A veterinarian is changing the diets of two animals, Simba and Cuddles. Simba currently consumes 1,520 Calories per day. That nu

kykrilka [37]

Answer:

6 days ; 2300 calories

Step-by-step explanation:

Given the following :

Current consumption :

Simba = 1520 calories per day

Increases by 130 calories per day : After d days ;

S(d) = 1520 + 130d

Where ; d = number of days

Cuddle = 3380 calories

Decreases by 180 calories each day; after d days ;

S(d) = 3380 - 180d

Pattern continues until they both consume same number of calories each day

S(d) = C(d)

1520 + 130d = 3380 - 180d

130d + 180d = 3380 - 1520

310d = 1860

d = 6

Number of calories they will be consuming them ;

Using : S(d) = 3380 - 180d

S(6) = 3380 - 180(6)

S = 3380 - 1080

S = 2300

They will be consuming 2300 calories by then.

8 0

3 years ago

100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc w

mylen [45]

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

5 0

3 years ago

Read 2 more answers

Find the PERIMETER of this triangle

olga2289 [7]

First we need to find the missing side, use

$a = \sqrt{ {c}^{2} - {b}^{2} }$
So the missing leg = the sqrt of the hypotenuse squared minus the other leg squared.

Let's substitute the numbers,

$a = \sqrt{ {10}^{2} - {6}^{2} }$
Solve for the squares,

$a = \sqrt{100 - 36}$
Subtract,

$a = \sqrt{64}$
Solve for the root,

$a = 8$
~~

So our missing length is 8.

To find the perimeter of the triangle, simply add all the sides....

~~

$8 + 10 + 6 = 24$

~~

Answer : 24

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

4 0

2 years ago

Read 2 more answers