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tensa zangetsu [6.8K]
2 years ago
11

Mr. Lee has a class of 14 students. He can spend $19 on each student to buy math supplies for the year. He first buys all of his

students calculators, which costs
a total of $96.18. After buying the calculators, how much does he have left to spend on each student?
Mathematics
1 answer:
skad [1K]2 years ago
8 0

Answer:

He has $12.13 left to spend on each student

Step-by-step explanation:

14 students x $19 each = $266 total

$266 - $96.18 = $169.82

$169.82 ÷ 14 students = $12.13

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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

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 interval 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}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
2 years ago
What is the appropriate sequence of events for protein synthesis?
Alborosie

The correct sequence of events in protein synthesis is transcription, then translation.

7 0
2 years ago
A 6-foot tall man casts a shadow that is 12 feet long. What is the measure of the sun's angle of elevation? Enter your answer, r
Masteriza [31]

Answer:

27^{\circ}

Step-by-step explanation:

Let x represent the sun's angle of elevation.

We have been given that a 6-foot tall man casts a shadow that is 12 feet long.

Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.

Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(x)=\frac{6}{12}

\text{tan}(x)=\frac{1}{2}

Using arctan we will get,

x=\text{tan}^{-1}(\frac{1}{2})

x=26.565051177078^{\circ}\approx 27^{\circ}

Therefore, the measure of the sun's angle of elevation is 27 degrees.

3 0
3 years ago
If hj=7x-27 find the value of x
Harlamova29_29 [7]

Answer:

x=7

Step-by-step explanation:

HI + IJ = HJ

3x-5 + x-1 = 7x-27

Combine like terms

4x-6 = 7x-27

Subtract 4x from each side

4x-6 -4x= 7x-27-4x

-6 = 3x-27

Add 27 to each side

-6+27 = 3x-27+27

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

5 0
3 years ago
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
jonny [76]
Answer: 11 2/15
Explanation: (3+7) (1/3+4/5)
10 + 17/15
10 + 1 2/15
11 2/15
5 0
3 years ago
Read 2 more answers
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