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2 years ago

April is 19, Bryan is 20, Carla is 20, and Dave is 21, how old is Erica is the average of their given ages is 23?

Mathematics

1 answer:

alex41 [277]2 years ago

8 0

Answer: 35

Step-by-step explanation:

The average can be found by adding their ages together and dividing by the number of ages.

Given:

$\frac{19+20+20+21+x}{5}$ = 23

Multiply both sides of the equation by 5:

19 + 20 + 20 + 21 + x = 115

Combine like terms:

80 + x = 115

Subtract 80 from both sides of the equation:

x = 35

Erica is 35.

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Pachacha [2.7K]

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7 0

3 years ago

I need help and show work

Mama L [17]

A = 22 x 60 = 1320

B = 60 x 60 = 3600

Hope this helps. I'm not smart ;w;

6 0

3 years ago

the participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men an

Nostrana [21]

Answer:

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) = $\frac{56}{1024} = 0.0546$

Step-by-step explanation:

The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women

That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.

p = 50/100 = 1/2

q = 1-p = 1 - 1/2 = 1/2

n =10

we will use binomial distribution $p(x =r) = n_{cr} p^{r} q^{n-r}$

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)

= $10_{c0} \frac{1}{2} ^{0} (\frac{1}{2}) ^{10-0}+ 10_{c1} \frac{1}{2} ^{1} (\frac{1}{2}) ^{10-1 \\$ + $10_{c2} \frac{1}{2} ^{2} (\frac{1}{2}) ^{10-2$

by using formula $n_{cr} =\frac{n!}{(n-r)!r!}$

on simplification we get

= $10_{c0} (\frac{1}{2}) ^{10}+ 10_{c1} (\frac{1}{2}) ^{10)$ + $10_{c2} (\frac{1}{2}) ^{10)$

= $1 (\frac{1}{2}) ^{10}+ 10(\frac{1}{2}) ^{10)$ + $45 (\frac{1}{2}) ^{10}$

= $\frac{56}{1024} = 0.0546$

Conclusion:-

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) = $\frac{56}{1024} = 0.0546$

8 0

3 years ago

Help me please i don’t get it

Fofino [41]

Answer:

Step-by-step explanation:

Both triangles are the same shape, just to different scales. In order to find out the length of side AB in triangle ABC, you have to find out the length of side PQ in triangle PQR and how much bigger than side AB is.

You can tell that sides AC and PR are similar, and 30/5 is 6. You see also that sides BC and QR are similar, and 42/7 is also 6. We have now discovered that triangle PQR is 6 times bigger than triangle ABC.

So now, to find the length of the missing side, we have to shrink side PQ by 6. 24/6 is 4. Therefore, the length of side AB is 4.

7 0

2 years ago

What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1