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Inga [223]
3 years ago
7

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

e doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are not authentic, and X is the number of non-authentic names in her sample, P(X=0) is (use calculator) a. 0.8154. b. 0.0467. c. 0.0778. d. 0.4000.
Mathematics
1 answer:
amm18123 years ago
8 0

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

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Pachacha [2.7K]
The Number of boys in the class is: 18

 Let's call "g" to the number of girls in the class.

 The problem says that there is "w" fewer boys than girls, so we have:

 g-w=18

 Then, the number of girls in the class  is:

 g=18+w

 Let's call "x" to the total number of studens in the class:

 x=g+18

 When we substitute g=18+w  into x=g+18, we obtain:

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 The total number of studens in the class is:

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6 0
3 years ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

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8 0
3 years ago
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What is the quotient?<br> t+3/t+4
leva [86]

Answer:

\frac{t + 3}{t + 4}  = 1 -  \frac{1}{t + 4}

5 0
3 years ago
One bus leaves a stop every 9minutes. A second bus leaves the stop every 15 minutes. If they both leave at 1:25 P.M., AT what ti
jasenka [17]
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Sarah has a floor plan of a room that is 5 inches wide and 6 inches long. The scale of the floor plan is 1/ 3 inch = 2 ft. What
Romashka-Z-Leto [24]
To answer this question, you could dad a couple things.

One of them is to set up a proportion with you original scale and then solve for the width.

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Use cross multiplication to get:
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Another way to do this would be to figure out how many groups of 1/3 there are in 5 inches or 5÷1/3. This answer is 15. This means it would be 15 groups of 2 feet or 30 feet.

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