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miss Akunina [59]
3 years ago
8

At the county fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked for 8 hours at regular pay an

d then for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?
Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0

Answer:

$82.50

Step-by-step explanation:

8.75 * 8 = 70

5 * 2.50 = 12.5

70 + 12.5 = 82.5

So, one employee would earn a total of $82.50 which also means that each employee earned $82.50

victus00 [196]3 years ago
3 0

At a county fair four(4) employees were paid for 8 hours = $8.75 per hour

8 hours they were paid $2.50 extra for an hour

Their overtime earning = 8.75 + 2.50 = $11.25

Each employee worked for 8 hours and 5 hours overtime.

Each employee earned = (8.75 × 8) + (11.25 × 5)

= $70 + $56.25

= $126.25

Each employee earned $126.25 only.

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation =  1.667  

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

  1. There are n independent trial.
  2. Each trial have a success probability p
  3. The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961

c) P( exactly 3 trucks fail the inspection)

p = 0.25

P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251

d) Mean and standard deviation

\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667

6 0
3 years ago
State the equation of the following graphs.<br> Someone please help ASAP
Vaselesa [24]
Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
4 0
3 years ago
Y = -x+5y=−x+5y, equals, minus, x, plus, 5
Serga [27]
The answer is D
Hope this hel
6 0
3 years ago
An educator believes that new reading activities for elementary school children will improve reading
Damm [24]

The correct answer to this open question is the following.

Unfortunately, you forgot to attach the scores shown in the back-to-back stem-and-leaf display. So we do not know what the numbers are and we do not have any reference at all

What we can do to help you is to comment on the following general terms.

There have been previous and similar experiments or projects like this in other schools in America. These results suggest that the new activities are better because extra or special reading comprehension programs better prepare students to understand what they are reading and comprehend more than basic ideas of the text.

Students that participate in these programs develop a better sense to understand and like what they are reading, considerably increasing their focus and attention.

These programs have resulted positively when trying to improve the marks of the students, compared to other traditional approaches.

6 0
3 years ago
Simplify the algebraic expression (4b5 - 7) + (12b5 - 1)
ioda

Answer:16b square root of 5 -8

Step-by-step explanation:

4 0
3 years ago
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