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3 years ago

Jack works after school.. Each day he us paid a set amount, plus and hourly wage.

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

Answer: Jack's payment is $53 (per day of work)

Step-by-step explanation:

The equation that describes how much Jack is paid is:

f(x) = $8 + $10*x

Where x is the number of hours that he works.

If he works from 2:30pm to 7:00 pm, then the number of hours that he worked is equal to the difference between these times, but first let's convert them into only hours:

2:30 = 2 hours and 30 minutes

remember that one hour has 60 minutes.

Then 30 minutes = 0.5 hours

2:30 = 2.5 hours.

7:00 = 7 hours.

Then the number of hours that Jack worked is:

7h - 2.5h = 4.5h

Then just replace x by 4.5 in the equation f(x):

f(4.5) = $10*4.5 + $8 = $53

Jack's payment is $53 (per day of work).

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PLS HELP SP=3x+1, and LN=10x−6. Find SP. A. 9 B. 4 C. 21 D. 7

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Step-by-step explanation:

2(sp)=ln

6x+2=10x-6

8=4x

x=2

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3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

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3 years ago

Ethel and Jack each separately apply for and receive a loan worth $7,725 apiece. Ethel has a relatively average credit rating, s

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Answer:

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Step-by-step explanation:

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3 years ago

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Theo drove 236 miles in 4 hours. Lex drove 195 miles in 3 hours. At those rates, could either man drive 116 miles in 2 hours? Sh

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Answer:

No.

Step-by-step explanation:

236÷4=59

195÷3=65

To check if either of them drove 116 miles in 2 hours, I would multiply the sum of the division problems by 2(for 2 hours).

59 x 2 = 118

65 x 2 = 130

None of them equals 116, meaning neither of them drove 116 miles in 2 hours.

Hope I helped you! Have a great day! :)

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