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Sidana [21]
4 years ago
7

Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pa

ck of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.
Mathematics
1 answer:
stepladder [879]4 years ago
3 0

Answer:

$5

Step-by-step explanation:

  • <em>Note. There are no options to select.</em>

<u>Let the notebook cost x, then Mark spent:</u>

  • 25x + 25*1.25 = 156.25
  • 25x + 31.25 = 156.25
  • 25x = 156.25 - 31.25
  • 25x = 125
  • x= 125/25
  • x= 5

Notebook costs $5

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Jonah wants to construct a confidence interval using 90% confidence to estimate what proportion of silicon wafers at his factory
Nimfa-mama [501]

Answer:

170

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume:

\pi = 0.06

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

What is the smallest sample size required to obtain the desired margin of error?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.06*0.94}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.06*0.94}

\sqrt{n} = \frac{1.645\sqrt{0.06*0.94}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.06*0.94}}{0.03})^2

n = 169.6

Rounding up, 170.

4 0
3 years ago
If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg
lesya [120]

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find \sqrt{84\\

5 0
3 years ago
Read 2 more answers
The results of a survey about favorite lunch choices are shown.
Nana76 [90]

Answer:

Grilled cheese 1/10

Step-by-step explanation:

If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch

5 0
3 years ago
Read 2 more answers
8 - (-5) + (-8)<br> Can someone do a step by step explanation to do this problem? Please
Katyanochek1 [597]

Answer:

5

Step-by-step explanation:

two negatives = a positive.

8 + 5 - 8 = 5

3 0
3 years ago
Read 2 more answers
Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree
Blizzard [7]

The Amanda's house is 6.7 km far from her school.

<u>Step-by-step explanation:</u>

From the given information,

  • The Amanda's school is due west of her house forms the base.
  • The school is due south of the Shereen's house forms the height.
  • The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

<u>To find the base :</u>

Base = \sqrt{(hypotenuse)^{2}-(height)^{2}  }

⇒ \sqrt{(7)^{2} -(2)^{2} }

⇒ \sqrt{49-4}

⇒ \sqrt{45}

⇒ 6.7 km

Therefore, the Amanda's house is 6.7 km far from her school.

3 0
3 years ago
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