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2 years ago

Point A is at (-2,-7) and point B is at (7,4). What is the midpoint of line segment AB?

Mathematics

1 answer:

Lyrx [107]2 years ago

4 0

Use the midpoint formula and solve. work pictured below

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a. A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college s

lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

$P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%$

The probability is 0.01083 or 1.083%.

8 0

2 years ago

PLEASE ANSWER ASAP!!!!

Arlecino [84]

We'll use the notation $\textrm{Arcsin } x$ for the principal value and $\arcsin x$ for all the values:

$\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k$

Part I

$\sin(\theta/2) = \frac 1 2$

$\theta/2 = \arcsin \frac 1 2$

Part II. In our range we can write

$\sin(\theta/2) = \sin(\frac \pi 6)$

$\theta/2 = \frac \pi 6 \textrm{ or } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}$

Part III.

$\theta = \frac \pi 3 \textrm{ or } \theta = \frac{5\pi}{3}$

Part IV.

$\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k$

$\theta = \frac \pi 3 + 4 \pi k \textrm{ or } \theta = \frac{5 \pi}{3} + 4\pi k \quad \textrm{integer } k$

5 0

2 years ago

A scale factor of 4 applied to the dimensions of the prism. What effect will this have on the volume?

avanturin [10]

It will be 4 times larger

8 0

2 years ago

Read 2 more answers

Convert 76,000 ml into L. Please show your work.

ser-zykov [4K]

Ok so there are 1,000 ml in every liter so
76000 ml= L which is a thousand ml
76000/1000
=76 L

5 0

2 years ago

I need help with this!

sashaice [31]

Answer:

Step-by-step explanation:

Let the width be w centimeters.

Then the length = w + 7.

The area A is found from the length multiplied by the width.

330 = w(w + 7) = w^2 + 7w.

Now we can rearrange this equation to form a quadratic, as follows:

The factorization of the quadratic is:

(w + 22)(w - 15) = 0

Therefore we find that:

width = 15 centimeters

length = 22 centimeters

4 0

2 years ago

Read 2 more answers