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3 years ago

More math questions there are 2

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

<em><u>Problem One</u></em>

Remark

You don't pay a sales tax until cash is exchanged for goods or services.

So what is 70% off

Solution

Sale price = given price * (100% - 70%)

Sale Price = 72 * 30%

Sale Price = 72 * 30/100

Sale Price = 72 * 0.3

Sale Price = 21.6 dollars.

The sales tax is 5% of this amount

21.6 * 5/100 = 1.08

The total cost is = 21.6 + 1.08 = 22.68

Problem Two

If they marked up 100%, effectively they doubled the price.

New Price = old price + 100% of old price.

New Price = 48.50 + 48.50 = 97 dollars.

The sales tax is 6% * 97 = 6/100 * 97 = 5.82

Total Cost = Cost of item + Tax

Total Cost =97 + 5.82

Total Cost = 102.82 Answer <<<<

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3 years ago

Mr grain left for work at 7:15 am. twenty five mintutes later he aririved at his work. what time did mr giarmo arrive at his

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the

aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 250, p = 0.58$

$\mu = E(X) = 250*0.58 = 145$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80$

If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

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

$Z = \frac{124 - 145}{7.8}$