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shepuryov [24]
3 years ago
14

Find the probability that when a couple has three ​children, at least one of them is a girl. ​(Assume that boys and girls are eq

ually​ likely.)
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
Consider this option (2 ways for this):
1. Probability=1-[probability_all_boys].
for [probability_all_boys]=1/[all_possible_combinations];
for [all_combinations]=2³=8. It means that 
Probability=1-(1/8)=7/8=0.875.
2. Probability=[needed_cases]\[all_possible_cases];
all possible combinations are:
bbb;ggg;bgg;bgb;bbg;gbg;gbb;ggb; - (where 'g' - girl, 'b' - boy) total 8.
needed cases: ggg;bgg;bgb;bbg;gbg;gbb;ggb, - total 7.
Probability=7/8=0.875
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Sooooooo

Step-by-step explanation:

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3 years ago
The diagram shows a square with a perimeter of 20 cm.
arlik [135]
Basically that’s it but write it down by yourself

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3 years ago
Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months. How much will Jim owe the bank after 4 yea
pashok25 [27]

Answer:

$2253.98

Step-by-step explanation:

Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months.

A=P(1+\frac{r}{n} )^{nt}

P=2000

r= 3%=0.03  and t= 4 years

interest every 3 months so n= 4

A=2000(1+\frac{.03}{4} )^{4 \cdot 4}

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4 0
3 years ago
Select all the expressions that represent a correct solution to the equation 6(×+4)=20
kozerog [31]

Answer:

the solution x = \frac{-2}{3}

Step-by-step explanation:

Given equation is 6 ( x+4) =20

<u>Distributive property</u>:-

a .(b + c) = a .b + a . c

Given equation is 6 ( x+4) =20

by using distributive property  6 .x + 6.4 =20

                                                  6x +24 =20

    subtracting '24' on both sides, we get

                                            6x +24 -24 = 20 -24

                                            6x = -4

dividing by '6' on both sides, we get

                                             \frac{6x}{6} = \frac{-4}{6}

                                            x = \frac{-4}{6}

<u>Final answer</u> :-

the solution of given equation is x = \frac{-2}{3}

                                           

                                           

7 0
4 years ago
What is the value of h(a) when a = 2 in the
Ivahew [28]
<h3>Answer:   3</h3>

=========================================================

Explanation:

This is the given piecewise function

h(a) = \begin{cases}3a+2 \text{ when } a > 3\\4a+5 \text{ when } a = 3\\3 \text{ when } a < 3\\\end{cases}

We can rewrite things like this

\text{when } a > 3, \ \  h(a) = 3a+2\\\text{when } a = 3, \ \  h(a) = 4a+5\\\text{when }a < 3, \ \  h(a) = 3\\

I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.

The input a = 2 fits the description of a < 3 since 2 < 3 is a true statement. Therefore we go for the third line and can see that h(a) = 3 becomes h(2) = 3

-----------

As another example, if we had the input a = 7, then we'd go for the first line (since 7 > 3) and get

h(a) = 3a+2

h(7) = 3(7)+2

h(7) = 23

4 0
2 years ago
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