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Nesterboy [21]
3 years ago
14

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard

deviation 3.5 psi. How is the standard deviation of the sample mean changed when the sample size is increased from?
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

The standard deviation reduces when sample size (n) increases

Step-by-step explanation:

From the above information given, we have that mean = 75.5

Standard deviation = 3.5

But Standard deviation = √summation (x-u)/n

This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.

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What are the steps for this question?
padilas [110]

Answer:

1. Add 5 to both sides

2. Divide both sides by 2

3. Take the square root of both sides

4. Subtract 2 from both sides

Step-by-step explanation:

2(x+2)²-5=93

<em>Add 5 to both sides</em>

2(x+2)²=98

<em>Divide both sides by 2</em>

(x+2)²=49

<em>Square root both sides</em>

x+2=7

<em>Subtract 2 from both sides</em>

x=5

7 0
4 years ago
Read 2 more answers
Ty is at Home Depot and must decide whether to buy paint in 10 individual quart cans or to buy it in both gallon and quart cans.
Ulleksa [173]

Find the cost of 4 quarts:

$ 6.99 [Cost of 1 quart] x 4 [Number of quarts] = $27.96 [Cost of 4 quarts]

Find the difference in price between 1 gallon and 4 quarts.

$ 27.96 [Cost of 4 quarts] - 20.99 [Cost of 1 gallon] = $ 6.97 [Difference]

One gallon of paint is less expensive than 4 quarts. The amount you save, $6.97, is just about the price of 1 quart of paint. When you buy the gallon, you get nearly 1 quart free.

Find out how many gallons to buy. Divide the total number of quarts needed by 4. This answer will tell Michael the number of gallons and quarts he needs.

10 ÷4 = 2 Gallons, 2 quarts

Two gallons and 2 quarts are equal to 10 quarts.

Find the cost.

$ 20.99 [Cost per gallon] x 2 = $41.98 [Cost of 2 gallons]

$ 6.99 [Cost per quart] x 2 = $13.98 [Cost of 2 quarts]

<span>$ 41.98 [Cost of 2 gallons] + 1 3.98 [Cost of 2 quarts] = $ 55.96 [Total cost]</span>

<span>10 individual quarts cost $69.90 vs $55.96</span>

<span>So answer is C/</span>2 gallons 2 quarts 

4 0
4 years ago
An office upgrades its internet speed from 15^6 bits per second to 15^9 bits per second. How many times greater is the new inter
Crank

Answer:

So 15^6 is the same thing as 15x15x15x15x15x15

and 15^9 is the same thing as 15x15x15x15x15x15x15x15x15

so the internet speed is 3 times greater

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. Rounding to the nearest minute, how long will it take
Kruka [31]

Answer: 82.25 minutes

Step-by-step explanation:

First convert the minutes she took to hours. This would be:

= 35/60

She is reading at a speed of 20 pages per 35/60 hours.

To finish 47 pages therefore, she will take:

= (47 * 35/60) / 20

= 1.37083 hours

Converted to minutes that would be:

= 1.37083 * 60 mins

= 82.25 minutes

7 0
3 years ago
A and B are two events.
svlad2 [7]

Answer:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

Step-by-step explanation:

If A and B are independent then we must have

P(AB) = P(A) P(B) and also

P(A/B) = P(A)

We are given that

A and B are two events.

Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .

P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3

i.e. P(A/B) is not equal P(A)

Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)

Hence A and B are not independent.


5 0
4 years ago
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