1 (2x + 3) (3x-5) 2. (3x + 5y)3 3. (3x + 5y

27. The average hourly wage of workers at a fast food restaurant is $7.25/hr

morpeh [17]

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use 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.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that $\mu = 7.25, \sigma = 0.5$

If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?

This is 1 subtracted by the pvalue of Z when X = 8. So

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

$Z = \frac{8 - 7.25}{0.5}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the worker earns more than $8.00

8 0

2 years ago

Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact

scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.

Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

$\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153$

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

$\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}$

$=\frac{(55-1)\times 94.7}{75}\\\\=68.184$

The test statistic value is, 68.184.

Decision:

$cal.\chi^{2}=68.184$

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

7 0

3 years ago

Elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix.If each serving contains the same

alexdok [17]

The answer is 2.22 if you divide it. Add the ingredients then divide on how many servings.

5 0

3 years ago

Read 2 more answers

A package of Big Bubbles Gum has 10 pieces and sells for 2.90. A package of fruity gum has 20 pieces and sells for 6.20. Compare

larisa86 [58]

Answer:

The unit price for the Big Bubbles Gum is 0.29 cents, while the unit price for the fruity gum is 0.31 cents.

Step-by-step explanation:

First identify what you know:

1) A package of Bug Bubbles Wrap, containing 10 pieces of gum, sells for a total of $2.90.

2) A package of fruity gum, with 20 pieces of gum, sells for a total of $6.20.

What is the unit price? The unit price is how much you're selling for a single piece within the package! If you were to buy just one packet, how much would it cost? To calculate this, simply divide the total cost of the package, but the number of units, or rather, pieces!

$2.90/10 = 0.29 cents

$6.20/20 = 0.31 cents

From this, we see that a single unit (piece) of the Big Bubble Gum, is only 29 cents, while a single unit (piece) of the fruity gum is 31 cents. So, it would be a better deal to buy the Big Bubble Gum!

For, twenty of the Big Bubble Gum, you'd buy two packages, for $5.80, which is 40 cents less than one package of 20 pieces of fruity gum!

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

38x60 using area model

tamaranim1 [39]

Answer:

Step-by-step explanation: