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Law Incorporation [45]
3 years ago
14

A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different gro

ups can be selected?
A.) 3,060

B.) 104,976

C.) None are correct

D.) 73,440
Mathematics
1 answer:
densk [106]3 years ago
8 0
The number is (20 x 19 x 18 x 17) / (4 x 3 x 2). That's 4,845 . None of the choices is correct.
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16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
timurjin [86]

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

7 0
2 years ago
Help mee plzz :))tyy
Dimas [21]

Step-by-step explanation:

Given prism has:

Length = 5 in, width = 4 in & height = 6 in

Surface area of prism

2(lw + wh + lh) \\  = 2(5 \times 4 + 4 \times 6 + 5 \times 6) \\  = 2(20 + 24 + 30) \\  = 2 \times 74 \\  = 148 \:  {in}^{2}  \\

4 0
3 years ago
Brent is a researcher for a food company. He is on a team creating a reduced-calorie version of its flagship cracker. The team w
Andre45 [30]

Answer:

Step-by-step explanation:

Hello!

The research team created a cracker with fewer calories. The average content of calories of the new crackers per serving of 6 should be less than 60.

To test it a random sample of 26 samples of the new cracker was taken and the calories per serving were measured.

Then the study variable is

X: calories of a 6 serve sample of the new reduced-calorie version. (cal)

The variable has a normal distribution with a population standard deviation of 0.82 cal.

To test the claim that the new crackers have on average less than 60 calories, the parameter of interest is the population mean (μ) and the hypotheses are:

H₀: μ ≥ 60

H₁: μ < 60

α: 0.01

Since the variable has a normal distribution and the population variance is known, the best statistic to use to conduct the test is a Standard Normal

Z= \frac{(X[bar]-Mu)}{\frac{Sigma}{\sqrt{n}}  } ~N(0;1)

This test is one tailed to the left, wich means that the null hypothesis will be rejected at low levels of the statistic.

Z_{\alpha } = Z_{0.01} = -2.334

If Z ≤ -2.334, the decision is to reject the null hypothesis.

If Z > -2.334, the decision is to not reject the null hypothesis.

Using the data of the sample I've calculated the sample mean.

X[bar]= ∑X/n= 1548.61/26= 59.56 cal

Z_{H_0}= \frac{(59.56-60)}{\frac{0.82}{\sqrt{26} } } = -2.736

The observed Z value is less than the critical value, so the decision is to reject the null hypothesis.

At a level of significance of 1%, you can conclude that the population mean of calories of the samples of new crackers is less than 60 cal.

I hope it helps!

6 0
3 years ago
For the first 8 months at his new job, James gets
Vikentia [17]

James receives a pay increase of 100% per month and has a starting salary of $500.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the rate of pay increase and a represent the initial pay.

Let us assume that he had received 128000 after the 8 months. hence:

128000 = ab⁸   (1)

Also in the 10th month, he had received 512000, hence:

512000 = ab¹⁰    (2)

From the both equations:

a = 500, b = 2

rate of increase = 200% - 100% = 100%

James receives a pay increase of 100% per month and has a starting salary of $500.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
A shop sells small chocolate bars and large chocolate bars the small chocolate bars are sold in packs of 4 large packets of choc
IrinaVladis [17]

The number of small chocolate-bars sold is 272.

<h3>What is a ratio? </h3>

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is another value. The sign used to represent ratios is :.

<h3>What is the number of small chocolate bars sold?</h3>

The number of packs small chocolate bars sold = (ratio of he number of small chocolate bars sold / sum of ratios) x number of chocolate bars sold

(5/7) x 95 = 67.8 = 68

The number of  small chocolate bars sold = 68 x 4 = 272

To learn more about ratios, please check: brainly.com/question/25927869

5 0
2 years ago
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