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Lemur [1.5K]
2 years ago
4

Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine po

wer cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.04 mm. What hypotheses should be tested, and why? The appropriate hypotheses are H0: σ
Mathematics
1 answer:
Degger [83]2 years ago
7 0

Answer:

H0: σ=0.04mm

Ha: σ<0.04mm

Step-by-step explanation:

The hypotheses that the company should test are:

H0: σ=0.04mm

Ha: σ<0.04mm

The null hypothesis indicates that a population parameter is equal to a hypothetical value. And the alternative hypothesis is what you expect to prove, in this case, the company wants to know if there is statistical evidence to prove that the standard deviation of the sheath thickness is less than 0.04 mm.

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Isla is dividing 3x3 + x2 - 12x - 4 by x + 2 using a division table.
maria [59]

A. A = -10 x, B = -4

<u>Explanation:</u>

Given:

For A:

The Quotient of the Operation is -5 x

The Divisor of the Operation is 2

So the remainder is -10 x

For B:

The Quotient of the Operation is -2

The Divisor of the Operation is +2

So the remainder is -4

So, the missing values in the table is A = -10 x and B = -4

3 0
2 years ago
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Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for
Burka [1]

Answer:

64$

Step-by-step explanation:

3 0
2 years ago
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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles
faltersainse [42]

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

8 0
2 years ago
in the drawing six out of every 10 tickets are winning tickets of the winning tickets one out of every three awards is a larger
Dafna11 [192]

Answer: P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}

Since we have given that

Total number of tickets =10

Number of winning tickets =6

\text {Possibility of getting a winning ticket }=^{10}C_6

In which one out of every three awards is a large prize

so,

\text{ Possibility of getting a large prize }=^6C_3

Now,

P(\text{a ticket is randomly chosen will award a large prize)}=\frac{^6C_3}{^{10}C_6}\\\\=\frac{20}{210}\\\\=\frac{2}{21}

P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}

8 0
2 years ago
Read 2 more answers
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