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Jerry King is a server in a restaurant that pays a salary of $43 per day. He also averages tips of 18% of his total gross food o

tatyana61 [14]

Answer:

His total gross pay for the week is $588.25.

Step-by-step explanation:

Consider the provided information.

Jarry has a salary of $43 per day and he worked for 4 days.

Thus, the salary of 4 days is:

4 × $43= $172

The average tips is 18% of his total gross food orders.

Last week he had total food orders of $2,312.5. Therefore, the total tips he received is:

$2312.5 \times(\frac{18}{100})$

$2312.5 \times(0.18)$

$416.25$

Total tips he received is $416.25.

His total gross pay for the week = The salary of 4 days + Total tips he received.

His total gross pay for the week = $172 + $416.25

His total gross pay for the week = $588.25

Hence, his total gross pay for the week is $588.25.

5 0

3 years ago

A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th

Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

$p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}$

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

$\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504$

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0

3 years ago

Your friend, Susannah, manages a sandwich shop. She collects data on the number of turkey sandwiches sold per day for a week. Ex

ExtremeBDS [4]

Susannah's data are illustration of measure of central tendencies

(a) The mean

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

$\mathbf{Total = 73 +88+85+88+99+134+129}$

$\mathbf{Total = 696}$

The number of days is:

$\mathbf{Day = 7}$

So, the mean is:

$\mathbf{Mean =\frac{Total}{Days}}$

$\mathbf{Mean =\frac{696}{7}}$

$\mathbf{Mean =99.4}$

Hence, the mean number of turkey sandwiches sold is 99.4

(b) The median

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

$\mathbf{Median = 88}$

Hence, the median number of turkey sandwiches sold is 88

(c) The mode

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

$\mathbf{Mode = 88}$

Hence, the mode number of turkey sandwiches sold is 88

(d) The range

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

$\mathbf{Range =134 - 73}$

$\mathbf{Range =61}$

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

Read more about measures of central tendencies at:

brainly.com/question/5495004

6 0

3 years ago

Solve for x trignometry

BigorU [14]

9514 1404 393

Answer:

23.44

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Tan = Opposite/Adjacent

tan(38°) = x/30

x = 30·tan(38°) ≈ 23.4386

x ≈ 23.44

3 0

3 years ago

There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?

mariarad [96]

Answer:

1/2

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5 0

3 years ago

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