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Viefleur [7K]
3 years ago
8

Write each percent as a fraction for 88%

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
88 = 88/100 or 22/25
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Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

4 0
3 years ago
Show the work for answer, if the area of a pizza is 153.94 square inches, find the length of its diameter
TEA [102]

Answer:

14 inch

Step-by-step explanation:

A = πr^2

153.94 = π * r^2

153.94/π = 49.001 = r^2

√49.001 = r = 7

radius * 2 = diameter

7 * 2 = 14 inch diameter

7 0
3 years ago
Your class has 18 students. Exactly 2/3 of them say that, out of all their subjects, they like science the most. Which model sho
Aleksandr [31]

Ok so I need the models to answer this question.

5 0
3 years ago
Read 2 more answers
What's the difference?<br> -1 1/8 - 6/8=
sergejj [24]

Answer: -3/8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Juliet has a choice between receiving a monthly salary of $1750 from a company or a base salary of $1600 and a 3% commission on
Westkost [7]

For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

\frac{3}{100}\times x\text{ = 0.03x}

We add this to the base salary and equate to the former monthy salary

We have this as;

\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}

4 0
1 year ago
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