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stich3 [128]
1 year ago
12

Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What

is the minimum score you would need to be in the top 2%?.
Mathematics
1 answer:
crimeas [40]1 year ago
5 0

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

#SPJ4

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There are 96 female staff in an office. If the ratio of male staff to female staff is 3:4, find the number of male staff​.
Alex

Answer:60 male staff

Step-by-step explanation:

Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.

4 0
3 years ago
Solve for 2:<br> 2x + 62°<br> 52 + 38°<br> 2 =
Paladinen [302]

Answer:

The answer is 8°

Step-by-step explanation:

2x + 62° = 5x + 38°

2x – 2x + 62° – 38° = 5x – 2x + 38° – 38°

24° = 3x

3x = 24°

3x/3 = 24°/3

x = 8°

Thus, The value of x is 8°

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
PLZ HELP ASAP RN PLZ
Ronch [10]
I think it’s B i’m not sure though!
5 0
3 years ago
I need all 5 of them please
aliina [53]
1.) 8.88= 4.44 (x -7)
8.88 = 4.44x - 31.08
+31.08 +31.08
39.96 = 4.44x
39.96 / 4.44x
9 = x
4 0
2 years ago
Read 2 more answers
Easy variable question pls help
svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})

2. Simplify

\frac{32}{5(2z-1)} = \frac{8}{3z+1}

3. Cross multiply

32(3z+1) = 5(2z-1) * 8

4. Simplify again (distributive property)

32(3z+1) = 40(2z-1)

5. Distributive property

32(3z+1) -> 96z+32  

40(2z-1) -> 80z-40

96z+32=80z-40

6. Subtract 32 from both sides

96z+32-32 = 80z-40-32

7. Simplify

96z = 80z-72

8. Subtract 80 from both sides

96z-80z=80z-72-80z

9. Simplify

16z=-72

10. Divide both sides by 16

\frac{16z}{16}=\frac{-72}{16}

11. Simplify

z=-\frac{9}{2} -> also = -4\frac{1}{2}

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

7 0
2 years ago
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