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Rainbow [258]
3 years ago
13

A bag contains white marbles and green marbles, 117 in total. The number of white marbles is 9 more than 5 times the number of g

reen marbles. How many white marbles are there?

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

that is the solution to the question

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A study of the impact of executive networking on firm performance measured firm performance as annual return on equity​ (ROE), r
vova2212 [387]

Answer:

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The mean ROE for the firms studied was 14.93​% and the standard deviation was 21.74​%. This means that \mu = 0.1493, \sigma = 0.2174

What value of ROE will be exceeded by 78​% of the​ firms?

This is the value of X when Z has a pvalue of 1-0.78 = 0.22.

This is Z = -0.77

So:

Z = \frac{X - \mu}{\sigma}

-0.77 = \frac{X - 0.1493}{0.2174}

X - 0.1493 = -0.77*0.2174

X = -0.0177

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

3 0
3 years ago
Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x
Savatey [412]
The polynomial remainder theorem states that the remainder upon dividing a polynomial p(x) by x-c is the same as the value of p(c), so to find p(-10) you need to find the remainder upon dividing

\dfrac{2x^3+14x^2-58x}{x+10}

You have

..... | 2 ...  14  ... -58
-10 |    ... -20  ... 60
--------------------------
..... | 2 ...  -6  ....  2

So the quotient and remainder upon dividing is

\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}

with a remainder of 2, which means p(-10)=2.
5 0
3 years ago
the rain caused the river to rise a total of 6 2/3 inches. the river was was rising a an average of 2/3 of an inch each hour. ho
Tasya [4]
2 1/2 you divide 6 2/3 by 2/3
8 0
3 years ago
what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square​
Romashka-Z-Leto [24]

Answer:

Hello,

Answer 6

Step-by-step explanation:

\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\

The smallest number to be susbtracted is 6

4 0
3 years ago
Which table has a constant of proportionality between y and x of 10?
Ivanshal [37]

Answer:

table C

Step-by-step explanation:

The constant of proportionality  k= y/x

table C shows constant proportionality :

90/9=140/14=240/24=10

5 0
2 years ago
Read 2 more answers
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