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Savatey [412]
3 years ago
6

A middle school has a speech club with a total of 18 students. The ratio of girls to boys is 4:5. How many girls are in the spee

ch club? How many boys are in the speech club? Justify your answers. (using linear equations)
Mathematics
1 answer:
Fantom [35]3 years ago
8 0
The ratio is 4:5
so girls=4x
and boys=5x
(because you don't know how many boys or girls there are)
then the equation would be
4x+5x=18
9x=18
so x=2
 then 2 times 4 which equals 8
and 2 times 5 which equals 10

so there are 8 girls and 10 boys

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) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0
3 years ago
Divide 7/24 by 35/48
Degger [83]

Answer:

0.4 or 4/10 as a fraction

Step-by-step explanation:

4 0
3 years ago
10. Write a rule for the function represented by the table.
kondor19780726 [428]

Answer:

C) y=13+15x

Step-by-step explanation:

y=13+15x

7 0
3 years ago
HELP ME PLEASE, ILL GIVE BRAINLIEST
Elena L [17]

Answer: I helped LOL

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Determine the intercepts of the line that correspond to the following table of values.
Dahasolnce [82]
We know that
to find the equation of a line i need two points

let
point A-----> (-21,10)
point B-----> (-28,14)

step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7

step 2
find the equation of a line with
m=-4/7  and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2

step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5

the x intercept is (-3.5,0)

step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)

the answers are
the x intercept is (-3.5,0)
the y intercept is (0,-2)

see the attached figure


7 0
3 years ago
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