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valentina_108 [34]

4 years ago

11

Wayne has a recipe on a 3-inch-by-5-inch index card that he wants to enlarge to 15 inches long. How wide will the enlargement be

?

1 answer:

ELEN [110]4 years ago

5 0

thats my brothers name

enlarged length is 3 times (15 / 5) length of card

so the enlarged width is 9 inches (3 x 3)

mark brainliest plsss

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Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are

Tom [10]

Answer:

a) p=0.2

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.

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

$P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}$ .

Recall that $\binom{n}{k}= \frac{n!}{k!(n-k)!}$ In this case, the student passes if X is at least four correct questions, then

$P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696$

c)The expected value of a binomial random variable with parameters n and p is $E[X] = np$ . IN our case, n=6 and p =0.2. Then the expected value of correct answers is $6\cdot 0.2 = 1.2$

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4 years ago

How many times greater is 70 million than 7,000,000

Ugo [173]

Hey there! :)

70 million = 70,000,000

7 million = 7,000,000

All you have to do is divide

70,000,000 ÷ 7,000,000 = 10

Answer ⇒ 10 times greater

:)

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