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solmaris [256]
3 years ago
12

Someone please help me

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

<u>Answer:</u>

\frac{1 mi}{1.61km}

<u>Step-by-step explanation:</u>

We are given the unit values of inch, foot and mile to convert into centimeters.

Using these conversion units, we are to determine whether which expression in the answer options can be used as the conversion factor to convert kilometers to miles.

So using the given conversion units, we can see that the following is the conversion factor to convert kilometers to miles.

\frac{1 mi}{1.61km}

Ratling [72]3 years ago
5 0

Answer:

1 mi/1.61 km

Step-by-step explanation:

we know that

1 mile= 1.61  kilometers

To convert 1 kilometer to miles

use proportion

so

1/1.61 mi/km=x/1 mi/km

x=1 mi/1.61 km

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Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

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(b) P(4 < X < 16),

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(c) P(X < 8),

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3 years ago
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GREYUIT [131]

Answer:

Step-by-step explanation:

2.66a-6b

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3 years ago
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Read 2 more answers
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

b) probability of passing is 0.01696

.

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

5 0
3 years ago
A cylinder’s radius is reduced to 2004-06-01-04-00_files/i0480001.jpg its original size and the height is quadrupled. How has th
asambeis [7]
I can't answer this question if we don't know by what scale the cylinder's radius was reduced. Luckily, I found the same problem that says the radius was reduced to 2/5. So, we find the ratio of both volumes.

V₁ = πr₁²h₁
V₂ = πr₂²h₂

where r₂ = 2/5*r₁ and h₂ = 4h₁

V₂/V₁ = π(2/5*r₁ )²(4h₁)/πr₁²h₁= 8/5 or 1.6

<em>Thus, the volume has increased more by 60%.</em>
6 0
3 years ago
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