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STatiana [176]
2 years ago
7

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students

have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.
Mathematics
1 answer:
frutty [35]2 years ago
8 0

Answer: 16

Step-by-step explanation:

Standard deviation is 2

Margin error for the problem is 1

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

1 = 1.96 * 2/ √n

1 = 3.92 / √n

√n = 3.92

n = 3.92^2

n = 15.36 = 16

i hope this work for you

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Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes.
Mamont248 [21]

Answer:

208

Step-by-step explanation:

Given that;

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

y= 3000(1 - 0.022)^120

y= 207.8661772

y= 208

8 0
3 years ago
A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
Murljashka [212]
Alright, so we have the difference = 4500-2800=1700. To find the percent increase, we do 1700/2800=around 0.61 = around 61% percent
3 0
3 years ago
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How do simplify 4(x-3)+5(x-3)
vesna_86 [32]

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4 0
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The volume of a packing box is 5 – x cubic feet. The width of the box is x feet and the length is x – 2 feet. The height is give
photoshop1234 [79]
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4 0
3 years ago
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