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hram777 [196]
3 years ago
15

Johns employer increased his annual salary of $55,000 by $5700. What percent was his raise,rounded to the nearest tenth place?

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

3.64% (when rounded to the nearest hundredth)

Step-by-step explanation:

I'm assuming by 5700 you actually mean 57,000.

Calculate the percent change:

(57,000-55,000)/55,000 *100

(2000/55000)x100

0.036363x100

3.6363 rounded to the nearest hundredth is 3.64

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What is the sum of the number of faces, edges, and vertices for a rectangular prism?
Vera_Pavlovna [14]

Answer: 28

Step-by-step explanation: 6 faces, 12 edges, 8 vertices

3 0
4 years ago
A recent survey found that 70% of all adults over 50 wear
lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B8%7D%2B%5Csqrt%7B18%7D-%5Csqrt%7B32%7D" id="TexFormula1" title="\sqrt{8}+\sqrt{18}-\
eduard

√8+√18−√32
√2^2·2+√3^2·2−√2^4·2
√2^ 2·√2+√3^2·√2−√2^4·√2


√2 is the answer
7 0
3 years ago
Find the value of 4/5 divided by 8/15. You must simplify.
mrs_skeptik [129]

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

6 0
3 years ago
WILL GIVE BRAINLIEST TO BEST RESPONSE!
Monica [59]

You are given the X value, replace x with 2 in the first equation to solve for y:

y=2x +3

y = 2(2) +3

y = 4+3

y = 7

Now replace y with 7 and x iwth 2 in the second equation and solve for k:

y = -x +k

7 = -2 +k

Add 2 to both sides:

9 = k

so k = 9

The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.

K = 9

5 0
4 years ago
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