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ladessa [460]
2 years ago
10

What is the volume of the right triangular prism shown? get it right for brainlist

Mathematics
1 answer:
ioda2 years ago
3 0

Answer:

V = 567 yd³

Step-by-step explanation:

V = \frac{1}{2}a c h\\

V = \frac{1}{2}(9)(6)(21)\\

V = 567 yd³

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What is the 44th decimal digit in the decimal representation of 1/11?
Alexus [3.1K]
The decimal representation of  1/11  is  0.090909...
The pair of digits '09' repeat forever.

If you start counting the digits after the decimal point,
the odd ones are all zero, and the even ones are all  9 .

So the 44th digit after the decimal point is  9 .


3 0
2 years ago
Explain what a conjecture is
shusha [124]
A conjecture is like a guess, opinion, or conclusion that is based off of incomplete information.

Hope this helps!
Can u plz mark me as brainliest? I really need it!
6 0
2 years ago
Read 2 more answers
Please help... need help ASAP due today... which ones are the answers?
andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

\frac{4-(-2)}{3-1}=\frac{6}{2}=3

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be -\frac{1}{x}. Therefore, if the line's slope is 3, then we need to find answers with a slope of-\frac{1}{3}.

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, wherey-y_{1}=m(x-x_{1}). The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 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
3 years ago
(4x + 3) + (-2x + 4)
WITCHER [35]

Answer:

<h2>(4x + 3) + (-2x + 4) = 2x + 7</h2>

Step-by-step explanation:

(4x + 3) + (-2x + 4)

= 4x + 3 - 2x + 4         <em>combine like terms</em>

= (4x - 2x) + (3 + 4)

= 2x + 7

4 0
3 years ago
Read 2 more answers
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