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Mariana [72]
2 years ago
13

You collect a random sample of size n from a population and calculate a 95% confidence

Mathematics
1 answer:
Vsevolod [243]2 years ago
4 0

A strategy which would produce a new confidence interval with an <u>increased</u> margin of error is to: A. use a 98% confidence level.

<h3>What is a confidence interval?</h3>

A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.

<h3>How to calculate the margin of error?</h3>

Mathematically, a margin of error is calculated by using this formula:

MOE_{\gamma}=Z_{\gamma} \times \sqrt{\frac{\sigma^2}{n} }

From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.

This ultimately implies that, increasing the confidence level from 95% to 98% would <u>increase</u> the critical value and by extension the margin of error and vice-versa.

Read more on confidence interval here: brainly.com/question/25779324

#SPJ1

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Are these tables functions or non functions? PLZ ANSWER ASAP
Natasha2012 [34]
Yes they are functions

I hope this helped

6 0
3 years ago
An open metal tank of square base has a volume of 123 m^3
snow_lady [41]

Answer:

  a) h = 123/x^2

  b) S = x^2 +492/x

  c) x ≈ 6.27

  d) S'' = 6; area is a minimum (Y)

  e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

  V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

  123 = x^2·h

  h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}

__

c) The derivative of the area with respect to x is ...

S'=2x-\dfrac{492}{x^2}

When this is zero, area is at an extreme.

0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

__

d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

3 0
3 years ago
I need help its math
Degger [83]

Given: w²+9=6w [0, 3, 6, 9]

We need to substitute each number for w and find which works

Sub Zero: 0²+9=6×0

Simplify: 9=0. 9 does not equal 0, so it is not 0

Sub Three: 3²+9=6×3

Simplify: 9+9=18

Addition: 18=18

The statement 18=18 is true, therefore we have our answer.

Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.

3 0
3 years ago
Tresa soccer team I feel six water coolers before the game it's a water cooler hold 9 L to the water how many liters of water do
natima [27]
Well, 6 x 9 = 54 which means the answer is 54. Hope this helps :)
6 0
3 years ago
Read 2 more answers
Which expression is equal to 6^4?<br><br> A: 10<br> B: 24<br> C: 4^6<br> D: 6•6•6•6
slega [8]
The answer to ur question is d: 6x6x6x6
8 0
3 years ago
Read 2 more answers
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