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Anton [14]
3 years ago
10

Among 39- to 44-year-olds, 35​% say they have called a talk show while under the influence of peer pressure. Suppose seven 39 to

44​-year-olds
are selected at random.
​(a) What is the probability that at least one has not called a talk show while under the influence of peer pressure
​
​(b) What is the probability that at least one has called nbsp a talk show while under the influence of peer pressure​?

​(a) The probability that at least one has not called a talk show
while under the influence of peer pressure is?
.
​(Round to four decimal places as​ needed.)
​(b) The probability that at least one of the seven randomly selected adults has called a talk show while under the influence of peer pressure is?
​(Round to four decimal places as​ needed.)
Mathematics
1 answer:
LenKa [72]3 years ago
8 0
<span>if 35% or 0.35 say no, to compute the probability that at least one of 7 </span>called a talk show while under the influence of peer pressure <span> is (1-0.35)^7  and subtract it from . This is the same as at least 1 has </span><span>called a talk show while under the influence of peer pressure
</span><span>1 - (1 - 0.35)^7 = 0.95
  </span>
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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

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alexgriva [62]
For the first one, to find x, you are going to take that entire side which would equal to 180 and solve. 2x+20+55=180 would then go down to 2x+65=180 once you add the 20 and 55. Then subtract 65 to both sides and divide your final answer 115/2 which is x=57.5. For the second one it’s 4x-2+21=180, then you will subtract 2 from 21 and get 19. After you would subtract 19 by 180 and divide 4 by each side, getting x=40.25 as your final answer.
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