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3 years ago

Jody got 90 problems correct on her test. Mildred got 65% of that amount correct. How many did Mildred get correct?

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

I think it is 59

Step-by-step explanation:

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2 years ago

Match the amounts and tip or tax rates in the first column to the total costs in the second column.

gogolik [260]

Answer:

1. $132.24

2. $55.89

3. $1336.66

4. $258.19

5. $57.86

Step-by-step explanation:

Simply use this equation.

$\frac{InitialValue}{100} = \frac{x}{TaxPercentage}$

Substitute in our values, using No.1 as our example.

$\frac{123.01}{100} = \frac{x}{7.5}$

Cross multiply

922.575 = x100

Solve for x by dividing by 100.

x = 9.22575

Now add x to the initial value.

9.22575 + 123.01 = 132.23575

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3 years ago

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May

Strike441 [17]

The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

Sample size, n = 100
Population proportion, p = 82%

Start by calculating the mean:

$\mu = np$

$\mu = 100 * 82\%$

$\mu = 82$

Calculate the standard deviation:

$\sigma = \sqrt{\mu(1 - p)$

$\sigma = \sqrt{82 * (1 - 82\%)$

$\sigma = 3.84$

Within ± 0.02 of the population proportion are:

$x_{min} = 82 * (1 - 0.02) = 80.38$

$x_{max} = 82 * (1 + 0.02) = 83.64$

Calculate the z-scores at these points using:

$z = \frac{x - \mu}{\sigma}$

So, we have:

$z_1 = \frac{80.36 - 82}{3.84} = -0.43$

$z_2 = \frac{83.64 - 82}{3.84} = 0.43$

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328