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Genrish500 [490]
3 years ago
10

Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four y

ears. Approximately how many of your classmates are expected to graduate in four years?
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

434

Step-by-step explanation:

760 * (4/7)= 434.3

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Suppose a basketball player has made 184 out of 329 free throws. If the player make the next two free throws, I will pay you $24
Marta_Voda [28]
Given that the player made 184 out of 329 throws, the probability of making the next throw will be:
P(x)=[Number of shots made]/[Total number of throws]
=184/329
=0.559
Thus the expected value of proposition will be:
0.599*24+0.559*12
=20.134
8 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0
1 year ago
A chemist is researching different sustainable fuel sources. She is currently working with benzene, which must be in liquid form
White raven [17]

Answer:

Quieres ser mi novia.. Hermosa.. MI estrella fugaz

Step-by-step explanation:

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2 years ago
There are ___ questions on the ACT math test,<br> А. 75<br> В. 100<br> С. 80<br> D. 60
koban [17]

The answer is: D) 60

5 0
3 years ago
I really need help with this problem asap? I would be so grateful if you could help!!!
g100num [7]
Assuming that you got the numbers right and that I did my calculations right, then the answer is <span>2998.45 tons.</span>
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3 years ago
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