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3 years ago

The product of a number and five is eight

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

Assuming x is the number, then $x=1.6$

Step-by-step explanation:

If the product of a number and 5 is 8, the equation becomes:

$5x=8$ (assuming x is the unknown number).

We can isolate the variable x by dividing both sides by 5.

$5x\div5 = 8\div5\\x = 1.6$

Hope this helped!

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Cooper has $200 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in

taurus [48]

Answer:

The interest is $20 per year

Step-by-step explanation:

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3 years ago

Read 2 more answers

Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100. a. What is t

svet-max [94.6K]

Answer:

a) 68.26% probability that a student scores between 350 and 550

b) A score of 638(or higher).

c) The 60th percentile of test scores is 475.3.

d) The middle 30% of the test scores is between 411.5 and 488.5.

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 450, \sigma = 100$

a. What is the probability that a student scores between 350 and 550?

This is the pvalue of Z when X = 550 subtracted by the pvalue of Z when X = 350. So

X = 550

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

$Z = \frac{550 - 450}{100}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 350

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

$Z = \frac{350 - 450}{100}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a student scores between 350 and 550

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So it is X when Z = 1.88

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

$1.88 = \frac{X - 450}{100}$

$X - 450 = 1.88*100$

$X = 638$

A score of 638(or higher).

c. Find the 60th percentile of the test scores.

X when Z has a pvalue of 0.60. So it is X when Z = 0.253

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

$0.253 = \frac{X - 450}{100}$

$X - 450 = 0.253*100$

$X = 475.3$

The 60th percentile of test scores is 475.3.

d. Find the middle 30% of the test scores.

50 - (30/2) = 35th percentile

50 + (30/2) = 65th percentile.

35th percentile:

X when Z has a pvalue of 0.35. So X when Z = -0.385.

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

$-0.385 = \frac{X - 450}{100}$

$X - 450 = -0.385*100$

$X = 411.5$

65th percentile:

X when Z has a pvalue of 0.35. So X when Z = 0.385.

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

$0.385 = \frac{X - 450}{100}$

$X - 450 = 0.385*100$

$X = 488.5$

The middle 30% of the test scores is between 411.5 and 488.5.

7 0

3 years ago

(1) One side of a Rhombus measures 13 cm what is its perimeter

Ostrovityanka [42]

Answer:

I want to get point

Step-by-step explanation:

can you help

7 0

3 years ago

A newspaper article states that 90% of drivers in Iowa wear their seatbelt. Suppose we are interested in estimating the proporti

konstantin123 [22]

Answer:

The sample size is $n = 3457$

Step-by-step explanation:

From the we are told that

The population proportion is p = 0.90

The margin of error is E = 0.01

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally the sample size is mathematically represented as

$n =[ \frac{ Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)$

=> $n =[ \frac{ 1.96 }{0.01} ]^2 * 0.90(1-0.90)$

=> $n = 3457$

8 0

3 years ago

Please help asap 20 pts

arsen [322]

I would love to help you answer this, but I think you missed showing the picture of the graph. Unless you are supposed to graph this yourself, I think there is more to the question. Sorry I couldn't help you!

3 0

3 years ago