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andrew11 [14]
3 years ago
10

In a business class there are 14 business majors and 7 non-business majors. 4 students are randomly selected to present a topic.

What is the probability that at least 2 of the 4 students selected are business majors?

Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer: 52/57

Step-by-step explanation:please see attachment for explanation

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A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select
podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

5 0
3 years ago
Which of the following has a solution set of {x | x = 0}?
Oliga [24]
Middle option.

<span>(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)

If you work both sides separately you get

</span>(x  ≤ 0) ∩ (x ≥ 0)
<span>
which reduces nicely to 

</span><span>{x | x = 0}</span>
3 0
2 years ago
Read 2 more answers
What is the greatest common factor of 56a^3-8a
dybincka [34]

Answer:

8a

Step-by-step explanation:

56a^3-8a\\8a(7a^2-1)\\8a

7 0
3 years ago
How do you convert 6.5 pounds to a fraction
fomenos
6.5 lbs/100lbs but what is it out of? 6.5 lbs out of what? 6.5/10 6.5/10000000lbs???
6 0
3 years ago
The numbers of blue, red, green and black pencils are proportional to the numbers 2, 3, 5, and 7, respectively. If we add the nu
Vitek1552 [10]

Answer:

  20 green pencils

Step-by-step explanation:

The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.

The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.

_____

If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...

  (7k -5k) + (3k -2k) = 12

  3k = 12 . . . . simplify

  k = 4 . . . . . . divide by 3

  5k = 5·4 = 20 . . . . . number of green pencils

6 0
3 years ago
Read 2 more answers
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