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Musya8 [376]
3 years ago
11

Use the given information to find the minimum sample size required to estimate an unknown population mean mu. How many students

must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $99.
A) 8296
B) 6630
C) 9413
D) 13,302
Mathematics
1 answer:
babymother [125]3 years ago
5 0

Answer:

9413

Step-by-step explanation:

Given that :

Error = $2 ; Standard deviation (σ) =99 ; α = 95% = 0.95

Zα/2 = Z0. 05/2 = 1.96 (Z probability calculator)...

n = sample size

Recall:

n = ((Zα/2 * σ) / Error)^2

Using the formular above, the sample size n can be obtained ;

n = ((1.96 * 99) / 2)^2

n = 97.02^2

n = 9412.8804

n = 9413

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If a scale factor between zero and one is used, the dilation will shrink the pre-image.
Leona [35]

Answer:

If this is a true or false thing, then it's true.

Step-by-step explanation:

You multiply the scale factor by the points of the pre-image, so if the scale factor is between 0 and 1, the pre-image will shrink.

3 0
3 years ago
Spila Motors Inc. earned income of $69,000 from its operating activities for a specified period. During the same period, it sold
11111nata11111 [884]

The right answer is Option C.

Step-by-step explanation:

Income = $69000

Gain = $3000

Total earned= Income + Gain

Total = 69000+3000=\$72000

Expenses on operating activities = $33000

Expenses on non operating activities = $8000

Total expenses = 33000+8000 = $41000

Profit = Total earned - Total expenses

Net\ profit=72000-41000=\$31000

The net profit made by Spila was $31000.

The right answer is Option C.

Keywords: net profit, subtraction

Learn more about subtraction at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

5 0
3 years ago
Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro
Talja [164]

Answer: Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

D(p)=200-5p

Supply function is stated as

S(p)=10p

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33

and when we put the value of p in any function:

Q=10\times 13.33=133.3\ units

Hence, Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

8 0
3 years ago
A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
Aiden refills three token machines in an arcade. He puts twice the number in machine A as in machine B, and in machine C , he pu
Sonja [21]
It is a possibility of being 16 or 5/6
7 0
3 years ago
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