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Liono4ka [1.6K]
3 years ago
11

A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

The copy machine makes 32 copies per minute.

Step-by-step explanation:

Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:

15 seconds = 0.25 minutes

136 / 4.25 = X

32 = X

Therefore, the copy machine makes 32 copies per minute.

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Allen�s hummingbird (Selasphorus sasin ) has been studied by zoologist Bill Alther A small group of 15 Allen� s hummingbirds has
Bogdan [553]

Answer:

1) 80% CI: [3.04; 3.26]gr

d= 0.11

2) n= 28 hummingbirds

Step-by-step explanation:

Hello!

The study variable of this experiment is:

X: the weight of a hummingbird. (gr)

And it has a normal distribution, symbolically: X~N(μ;σ²)

And (I hope I got it correctly) its population standard deviation is σ= 0.33

There was a sample of n= 15 hummingbirds taken, its sample mean X[bar]= 3.15 gr

1) You need to construct an 80% Confidence Interval for the population mean of the hummingbird's weight.

Since the study variable has a normal distribution, you can use either the standard normal distribution or the Student's t distribution. Both are useful to estimate the population mean. Since the population standard variance is known, the best choice is the Standard normal.

Z= <u> X[bar] - μ </u>~ N(0;1)

       σ/√n

The formula for the interval is:

X[bar] ± Z_{1- \alpha /2} * (σ/√n)

Z_{1- \alpha /2}= Z_{0.90} = 1.28

3.15 ± 1.28 * (0.33/√15)

[3.04; 3.26]gr

The margin of error (d) of a confidence interval is hal its amplitude (a)

a= Upper bond - Lower bond

d= (Upper bond - Lower bond)/2

d= \frac{(3.26-3.04)}{2} = 0.11

2) You need to calculate a sample size for a 80% Confidence interval for the average weight of the hummingbirds with a margin of error of d= 0.08

As I said before, the margin of error is half the amplitude of the interval, the formula you use to estimate the population mean has the following structure:

"point estamator" ± "margin of error"

Then the margin of error is:

d= Z_{1- \alpha /2} * (σ/√n)

Now what you have to do is rewrite the formula based on the sample size

d= Z_{1- \alpha /2} * (σ/√n)

\frac{d}{Z_{1- \alpha /2}}= σ/√n

√n * \frac{d}{Z_{1- \alpha /2}}= σ

√n = σ * \frac{Z_1- \alpha /2}{d}

n = (σ * \frac{Z_1- \alpha /2}{d})²

n=  (0.33 * \frac{1.28}{0.08})²

n= 27.8784 ≅ 28 hummingbirds.

I hope it helps!

4 0
3 years ago
20 POINTSSS AND I WILL GIVE BRAINLIEST !!
inessss [21]
I think it’s Step 2 your welcome
7 0
2 years ago
Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?
Levart [38]
<h3>Answer:</h3>

right triangle

<h3>Step-by-step explanation:</h3>

The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.

hope it helps.

8 0
3 years ago
What x what gives me 49 but when you add it it gives me 14
Scilla [17]
7 because 7 x 7 is 49 but if you add 7 and 7 it gets to 14 7 is the answer
so if you do a different number you will be wrong

3 0
3 years ago
What is 8^2 + 15^2= c^2
Tasya [4]

Answer:

8^2\:+\:15^2=\:c^2

c = 17

Step-by-step explanation:

This is the  Pythagorean theorem  

6 0
2 years ago
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