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stellarik [79]
3 years ago
14

The standard deviation for SAT tests is known to be 100. Zoe takes a sample of 64 people and calculates a 99% confidence interva

l. How big is her margin of error
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

32.2

Step-by-step explanation:

Margin of Error = Zcritical * √(σ² / n)

σ = standaed deviation. ; sample size = 64

α = 99%

Zcritical at 99% confidence interval = 2.576

Margin of Error = 2.576 * √(100^2/64)

Margin of Error =2.576* 100/8

Margin of error = 2.576 * 12.5

= 32.2

You might be interested in
150=3/5x what does x equal?
svetlana [45]

Answer:

250

Step-by-step explanation:

150/3=50

50*2=100

150+100=250

7 0
3 years ago
Read 2 more answers
Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA
rodikova [14]

Answer:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

Step-by-step explanation:

For this case we have the following probabability distribution function given:

Score         P(X)

A= 4.0       0.2

B= 3.0       0.5

C= 2.0       0.2

D= 1.0        0.08

F= 0.0       0.02

______________

Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And if we replace the values that we have we got:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

3 0
4 years ago
The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the
ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0
2 years ago
Put the answer below.....
lana66690 [7]

Answer:

m<1= 128 degree ( being alternate angle)

m<2

= 180degree - 128degree ( being cointerior angle)

=52degree

m<3= 138degree being corresponding angle)

8 0
4 years ago
60 more than 9 times la number is the same as 2 less than 10 times the number what is the number?
vodomira [7]

Answer:

Step-by-step explanation:

let x represent the number

9x + 60 = 10x - 2

60 + 2 = 10x - 9x

62 = x <===

8 0
3 years ago
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