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Montano1993 [528]
3 years ago
9

Given a mean of 4.5 and a standard deviation of 12 from a sample of variables, what is the equivalent draw from a standard norma

l distribution for 6.0?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
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A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher a
erica [24]

Answer:

z=-1.591

Step-by-step explanation:

Null Hypotheses,

H_0 : p=0.8\\H_a: p>0.80

So we use z-test for one population proportion (right-tailed test)

According to this informaton, we defined that

\alpha=0.05

z_c=1.64 (critical value)

So our Rejection region is R={z:z>1.64}

z=\frac{\bar{p}-p_0}{\sqrt{p_0(1-p_0)/n}} = \frac{0.755-0.8}{\sqrt{0.8(1-0.8)/200}}=-1.591

Not rejection.

6 0
3 years ago
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
2 years ago
Given f(x) = x3 – 2x2 – x + 2, <br><br> the roots of f(x)
anyanavicka [17]

f(x) = x³ – 2x² – x + 2

 

 0 = x3 – 2x2 – x + 2

 (x-2)(x-1)(x+1)=0

 x1=-1

 x2=1

 x3=2

5 0
3 years ago
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Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of t
lesya [120]
Pi * r^2 = 16pi
Thank you hope this helps
3 0
3 years ago
Which is the graph of the step function f(x)?
quester [9]
You should do 9/4 divided by 3/8
5 0
2 years ago
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