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ValentinkaMS [17]
3 years ago
7

18

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer: 100

5

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.

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Goal
morpeh [17]

The development of the personal budget that convinces parents that one can maintain an independent living is detailed as follows using the 50: 30: 20 rule:

50% for necessities (housing, food, transportation, utilities) $740

30% for luxuries, savings, vacations, entertainment, etc. $461

20% for Emergency Funds and Retirement $335

<h3>What is a personal budget?</h3>

A personal budget is the household budget for a single person for a period.

The personal budget shows an estimate of the person's revenue and expenses over the period.

<h3>Data and Calculations:</h3>

Hourly rate of earnings = $12

Working hours per week = 40 hours

Working hours per month = 160 hours (40 x 4 weeks)

Total monthly earnings = $1,920 ($12 x 160)

Assumed tax rate = 20%

After-tax take-home pay = $1,536 ($1,920 x 1 - 20%)

<h3>Monthly Necessities:</h3>

Rent of apartment = $300

Heating = $40

Water cost = $20

Sewage bill = $10

Food = $300

Transportation = $50

Other costs = $20

Total cost for necessities = $740

Thus, the development of the personal budget shows that one can maintain an independent living from the parents as a single person.

Learn more about personal budgets at brainly.com/question/1943261

#SPJ1

6 0
2 years ago
Please answer! Help!
svetoff [14.1K]

Answer:

∠F = 42°

Step-by-step explanation:

similar triangles have congruent corresponding angle measures.

so if ΔABC ~ ΔEFG, then ∠B corresponds with ∠F, so ∠F = ∠B

∠F = 42°

4 0
3 years ago
Read 2 more answers
What is 2 + 10? pls help!!!!!!
Jlenok [28]
12 because if you take 2 and add it to 10 you get 12
3 0
3 years ago
Read 2 more answers
Find the equation of the line for the y-intercept and slope given. <br><br> (0,2), m=1
UNO [17]

Answer:

The equation of the line in slope intercept form would be y=x+2

Step-by-step explanation:

7 0
3 years ago
What is the distance between two points(2,-6)(-7,1)
Ilia_Sergeevich [38]

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

3 0
3 years ago
Read 2 more answers
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