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Elan Coil [88]
3 years ago
6

A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. It is known

that the standard deviation in the cutting length that this machine produces is 0.20 feet. A sample of 75 cut sheets yields a mean length of 12.25 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to Scenario 1, the Z value to use in obtaining the 95% confidence interval is approximately .
A. 2.58.
B.1.96.
C. 1.75.
D. 1.645.
Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer: B.1.96.

Step-by-step explanation:

The critical z-value used for (1-\alpha) confidence interval istwo tailed value with the significance level of (\alpha) i.e.z_{\alpha/2} from the standard normal distribution table for z.

Given : Level of confidence : 1-\alpha=0.95

Significance level : \alpha:1-0.95=0.05

By using the standard normal distribution table for z,

The z-value = z_{0.05/2}=z_{0.025}=1.96

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egoroff_w [7]

Answer:

B

Step-by-step explanation: just add up all of the miles they have all ready hiked and then subtract it from the number they need to hike

6 0
3 years ago
Fatima brought $19.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as t
ZanzabumX [31]

Answer:

The brush cost $1.75, the sketchbook cost $5.25 and the paint set cost $10.5

Step-by-step explanation:

Fatima brought $19.50 to the art supply store which she used to buy a brush, a sketchbook, and a paint set.

After buying them, she had $2.00 left over.

Let the cost of the brush be b.

Let the cost of the sketchbook be s.

Let the cost of the paint set be p.

This means that:

b + s + p + 2 = 19.5 __________(1)

The brush was 1/3 as much as the sketchbook:

b = 1/3 * s = s/3 ______ (2)

The sketchbook cost 1/2 the cost of the paint set:

s = 1/2 * p

=> p = 2s________(3)

Putting (2) and (3) in (1):

s/3 + s + 2s + 2 = 19.5

=> 10s/3 = 19.5 - 2

10s/3 = 17.5

10s = 17.5 * 3

10s = 52.5

s = $5.25

Putting this back in (2)

b = 5.25 / 3 = $1.75

Putting the value of a back in (3)

p = 2 * 5.25 = $10.5

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3 0
3 years ago
Please help soon!! I will give brainliest to the first correct answer!
Sladkaya [172]

Answer:

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

Step-by-step explanation:

2(5+6) = 22


3(5+3) = 24


2(4+5) = 18


2(3+2) = 10  

10 + 12 = 22  

8+ 10 = 18


15 + 9 = 24


6 + 4 = 10

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

5 0
3 years ago
Read 2 more answers
Why is
zloy xaker [14]

Answer:

Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.

Step-by-step explanation:

The exponent of variables in a polynomial should be natural numbers (0, 1, 2, 3, \dots.)

  • \sqrt{2\, x} is equal to \sqrt{2}\, x^{1/2}. In this expression, x is the variable. Its exponent is 1/2, which isn't a natural number.
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\sqrt{2\, x} isn't a polynomial because the exponent of variable x isn't a natural number. On the other hand, \sqrt{2}\, x is indeed a polynomial over the set of real numbers.

3 0
3 years ago
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Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

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Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

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6 0
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