Don’t get this please help and explain

Apply the distributive property to factor out the greatest common factor. 6+30=6+30=6, plus, 30, equals

kodGreya [7K]

Step-by-step explanation:

the distributive property is 6(1+5), the greatest common factor is 6

8 0

3 years ago

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

4 years ago

If you flip a coin 3 times what is the probability of getting at least 2 tails

elixir [45]

If you flipped a coin 3 times:{

Total number of possible outcomes = 2³ = 8

Total number of outcomes with at least 2 tails = 4
{HTT , THT, TTH, TTT}

P(at least 2 tails ) = 4/8 = 1/2

Answer: 1/2

4 0

4 years ago

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a ABC company stock dropped from 25 3/8 to 22 1/4 during a one month period of time so how much stock fall during this period of

OLEGan [10]

First, let's convert the mixed fraction into an improper fraction (trust me, mixed fraction are pretty much the worst things to deal with, especially with higher level math):
$25 \frac{3}{8} = \frac{203}{8}$
$22 \frac{1}{4} = \frac{89}{4}$

Then, to subtract, since you need a common denominator, I would multiply the second fraction by 2 to get:
$2 (\frac{89}{4} ) = \frac{178}{8}$

Now that we have a common denominator, we are ready to subtract:
$\frac{203}{8} - \frac{178}{8} = \frac{25}{8}$

Since that's the most simplified form, and you have been asked the question in a mixed fraction form, let's convert that to a mixed fraction. The remainder of the numerator divided by the denominator is 1, and the quotient is 3. The denominator stays the same. So, this is what results:
$3 \frac{1}{8}$

And that's your answer: $3 \frac{1}{8}$

Hope this all makes sense. If anything doesn't, feel free to tell me!

7 0

3 years ago

What is the measure of angle x?

Luda [366]

Answer:

the answer is 111

Step-by-step explanation:

$180 - 36 - 75 = 69$

$180 - 69 = 111$

4 0

3 years ago

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