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mylen [45]
2 years ago
12

A shop tech earns a base pay of ​$19.68 per​ hour, plus​ "time-and-a-half" for overtime​ (time exceeding 40​ hours). If he works

43.5 hours during a particular​ week, what is his gross​ pay?
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

9514 1404 393

Answer:

  $890.52

Step-by-step explanation:

The pay for each hour of overtime is ...

  1.5 × $19.68 = $29.52

The tech worked 40 hours at $19.68 per hour, plus an additional 3.5 hours at $29.52 per hour. His gross pay is ...

  40 × $19.68 +3.5 × 29.52

  = $787.20 +103.32 = $890.52

His gross pay for the week is $890.52.

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According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
3 years ago
Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer
Alexxandr [17]
To get the volume of the larger solid without the smaller solid is first you must get the volume of the larger solid and the smaller solid and this are 870.48 is the volume of the large solid then 48.6 so to get the volume without the smaller solid is you just subtract the large to the smaller, so the answer would be 821.9 cubic meter 
5 0
3 years ago
5.2cm second piece is 1.5 times as long
Lesechka [4]
What the question and read the problem again please
6 0
3 years ago
Write percent as a fraction or in simplest form of 37.5​%
docker41 [41]
37.5% is equivalent to a fractional form. You get this by putting 37.5 over 100 since per cent means per one-hundred. This gives us
                                             37.5% = 37.5/100 = 375/1000 = 3/8
The simplest form is 3/8, therefore the answer to your question is 3/8.
4 0
3 years ago
Read 2 more answers
I need help on number five thank you
Sunny_sXe [5.5K]
The formula for the volume of a rectangular prism is...

V=lwh
plug in the data we know
2025=lw(9)
225ft=lw

Since the length and width make up the area floor, we stop here. 

Answer=225ft²
7 0
3 years ago
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