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Lady bird [3.3K]
3 years ago
8

Seven subtracted from c is less then -18: translate into an inequality

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

c - 7 < -18

Step-by-step explanation:

Seven subtracted from c :   c - 7

c - 7 < -18

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A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What
9966 [12]

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

z={x-\mu  \over \sigma }

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

Learn more about Z score here :

brainly.com/question/15016913

#SPJ4

4 0
2 years ago
D) If C.P. - Rs 100, S.P. Rs 80, then loss percent​
AfilCa [17]

Step-by-step explanation:

Selling price = Rs.80

Cost price = Rs.100

here, CP > SP

Now...

Loss ( L ) = CP - SP

= RS.100 - 80

= Rs.20

Now...

loss \: percent \:  =  \frac{loss}{CP}  \times 100%

=  \frac{2000}{100}  \\

= 20 %

3 0
2 years ago
How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent
Feliz [49]

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

A=P(1+\frac{r}{n})^{tn}

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

A=200(1+\frac{0.05}{12})^{9\times 12}

A=200(1+0.00416)^{108}

A=200(1.00416)^{108}

A=200 \times 1.556

A=311.20

Hence the amount after 9 years will be $311.20

4 0
3 years ago
Wyatt is flying a kite in the park. The kite is a horizontal distance of 24 feet from Wyatt's position and a vertical distance o
Paraphin [41]
If you are asking how long the string is or the hypotenuse it would be about 75.89466
3 0
3 years ago
7x-9x what is the answer
Oksanka [162]

Answer:

-2x

Step-by-step explanation:

The expression itself is -2x. We subtract the coefficients 7 and 9 to get -2.

7 0
3 years ago
Read 2 more answers
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