MATHEMATICS HIGH SCHOOL

The same sample of 25 seniors from the urban school district with the mean and standard deviation N(450, 100). A 95% confidence interval for µ for the population of seniors with a margin of error of ± 25 is used. What is the smallest sample size we can take to achieve this same margin of error?26

45

50

62

69

Answers

Answer 1
Answer: I have some notes here that might help you answer the problem in your own:

The formula to calculate a minimum sample size is as follows:

n = [z*s/E]^2 

Where n is the sample size, z is the z value for the level of confidence chosen, s is the estimated standard deviation and E is the allowable error. 

I hope my answer has come to your help. God bless and have a nice day ahead!

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The ratio of boys to girls in a kindergarten is 2:3. If the number of boys is 12, find the number of girls.

Answers

This mean for every 2 boys there are 3 girls 12 divided by 2 is 6 so you have todo 6*3 which is 18

If you rent 5 dvds for 5 nights for $5, at this rate how much do you expect to pay for 1 dvd for 1 night?

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The expected value of the payment is $5

What is Proportionality?

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The rent for 5 DVDs for 5 nights is $5.

In order to find the rent for 1 night for 1 DVD, direct and indirect proportion method can be used as follows,

5 DVD for 5 night costs $5.

Then, 5 DVDs for 1 night costs 5 × 5 = $25.

And, 1 DVD for 1 night costs 25/5 = $5.

Hence, the cost of 1 DVD for 1 night is $5.

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20 cents a night because 5 DVDs per night is 1 dollar, and $1/5 DVDs equals 20 cents each, so 1 DVD is 20 cents a night

I cut 65 cm off 2 m of rope how much is left

Answers

2m = 200cm

200cm-65m= 135cm

:)

How do you know it is a outside angle

Answers

A triangle not only has inside angles but outside angles as well. When a triangle's side is extended, the extension creates another angle. This angle, called an outside or exterior angle, has a special relationship with the angle adjacent to it. The two angles become supplementary angles, which are angles that have a combined measurement of 180 degrees. You can find the measurements of a triangle's outside angles by working with the measurements of its inside ones.

the speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes. the ratio of the number of skiers who bought season passes to the number of snowboarders who bought season passes is 1:2. if 1259 more snowboarders bought season passer than skiers, how many snowboarders ams how many skiers bought season passes?

Answers

1259 is half the number of snowboarders because of 1:2 ratio
From this we find that the number of snowboarders is double this and that 1259 is the number of skiers

MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 torent shoes and $4.50 per game.
a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Bowling alley A:
Bowling alley B:
or more games
or
games
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.o

Answers

Using linear functions, it is found that:

a) The cheaper costs are given as follows:

  • Bowling alley A: 3 or more games.
  • Bowling alley B: 1 or 2 games.

b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The cost to rent shoes is the intercept.
  • The cost per game is the slope.

Hence the cost functions are given as follows:

  • A(x) = 3.75 + 4x.
  • B(x) = 2.5 + 4.5x.

The costs are equal when:

A(x) = B(x)

3.75 + 4x = 2.5 + 4.5x

0.5x = 1.25

x = 1.25/0.5

x = 2.5.

Hence the cheaper costs are given as follows:

  • Bowling alley A: 3 or more games.
  • Bowling alley B: 1 or 2 games.

Alley B has the lower initial cost due to the lower cost for the pair of shoes.

For item b, if we increase the cost per game by $0.50 for alley A, we have that:

A(x) = 4.5x + 3.75.

Hence:

Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

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