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ollegr [7]
3 years ago
6

What is the volume of the triangular prism shown below?

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

The volume (V) of the triangular prism is calculate as

V = area of triangular face × depth

area of triangle = 0.5 × 9 × 4 = 0.5 × 36 = 18 units², thus

V = 18 × 15 = 270 units³ → A

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Find the equation of the line passing through points (-4,2) and (1,-6)
anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0
3 years ago
Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
6 0
2 years ago
1. I am looking into a fish tank. I see 5 red fish for every 2 blue fish. If there are 22 red fish,
stellarik [79]

Answer:

11?

Step-by-step explanation:

3 0
3 years ago
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What is the answer to this AND WHY! Thank you!<br><br> (−1+√5)/2​
postnew [5]

Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)

Step-by-step explanation:

-1+ (the sign)5 =  1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)

6 0
3 years ago
Read 2 more answers
URGENT!!!!
Simora [160]

Answer:

cross multipy them into a fraction

Step-by-step explanation:


5 0
4 years ago
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