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mylen [45]
2 years ago
7

you earn $9.15 per hour painting a fence. It takes 6.75 hours to paint the fence. did you make enough money. how much money do y

ou have left.
Mathematics
1 answer:
madreJ [45]2 years ago
8 0

Answer:

$61.76

Step-by-step explanation:

So I can't answer how much do you have left or did you make enough money, but I can calculate the money you made. Since it's $9.15 per hour and you worked 6.75, you simply multiply the numbers together. The money you made was $61.76.

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PLEASE HELP ME PRE CAL/TRIG
miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b)  It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference \frac{7}{10} * (250 pi) = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

\frac{250pi}{10} =\frac{200}{t}.

After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.

3 0
3 years ago
Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?
salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

{:}\longrightarrow\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}

{:}\longrightarrow\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}

{:}\longrightarrow\sf 8 (3x)=5×3

{:}\longrightarrow\sf 24x=15

{:}\longrightarrow\sf x={\dfrac{24}{15}}

{:}\longrightarrow\sf x=1.6

\therefore Nichol runs 1.6miles .

4 0
3 years ago
Is (3,2) a solution of -8x-2y&lt;6
BartSMP [9]

Answer:

yes

Step-by-step explanation:

-8x-2y<6

put in x and y and see if it is less than 6

-8(3) -2(2) <6

-24 -4 <6

-28 <6

yes

it is a solution

8 0
3 years ago
A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur
Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

H_0: \mu = 16

At the alternative hypothesis, it is tested if the mean is different, hence:

H_1: \mu \neq 16

<h3>What is the test statistic?</h3>

The test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

The parameters for this problem are:

\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150.

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0
2 years ago
Find the unknown value 18 is 50% of
nasty-shy [4]
Question : 18 is 50% of what number?

Answer : 36.

How : well if you multiply 18 times 2 the answer is 36. Since 18 is half of 36, being 50%

-procklown
6 0
4 years ago
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