The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.4 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi.

Required:
a. Should the fiber be judged acceptable? Use the P-value approach.
b. What is the probability of not rejecting the null hypothesis at α=0.05 if the fiber has a true mean breaking strength of 102 psi?
c. Find a 95% one-sided lower CI on the true mean breaking strength.
d. Use the CI found in part (d) to test the hypothesis.
e. What sample size is required to detect a true mean breaking strength of 101 with probability 0.95?

Answer:

40% increase

Step-by-step explanation:

Answer:

[tex] \frac{34}{85} \times 100 = 40\%[/tex]

Step-by-step explanation:

the increase is 119-85=34

the percentage increase would be 34/85 ×100%

=0.4×100%=40%

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

Answer:

13x=13

Step-by-step explanation:

...............

Answer:

7/8

Step-by-step explanation:

we need to same denominator. 3/4 is equal to 6/8

1/8+6/8 is 7/8.

Answer:

7/8 or 0.875

Step-by-step explanation:

1/8 + 3/4=?  

The Least Common Multiple (LCM) of 8 and 4 is 8. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

1/8 + 3/4= 1/8 + 3 x 2 = 1/8 + 6/8

                         4 x 2

Now that the fractions have like denominators, add the numerators:

1/8  + 6/8 = 1+6 = 7/8

                    8

Answer:

Step-by-step explanation:

https://d1avenlh0i1xmr.cloudfront.net/large/53ca8d0d-

Answer:

20 kriti and 40 Kiran rupees

Answer:

I would expect a decimal questions because if you wanted to add these two, you would have to put them in the type of number so it would be easier and faster to get the answer.

Step-by-step explanation:

Answer:

Rational Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number

Answer:

Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.

Answer:

I believe its 40 pens

Answer:

40 pens so u do 30 times 1000= 30000 ➗ 750

Answer:

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Step-by-step explanation:

Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:

Vertical compression

[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)

Vertical translation upwards

[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)

Horizontal translation leftwards

[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)

Now, we proceed to transform the parent exponential function:

(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])

[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]

(ii) Vertical translation of 3 units up

[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]

(iii) Horizontal translation of 3 units to the left

[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Answer:

b=5

Step-by-step explanation:

8b+12 = 52

8b = 52-12

8b = 40

Therefore, b= 40/8 = 5!

Hope it helps! :)

Answer:

Step-by-step explanation:

%s can drive a person crazy.

44% increase

Cost = 100% * x + 44%x

Cost = x ( 100 / 100 + 44/100)

Cost = x (1 + 0.44)

Cost = 1.44 x

93% decrease

Cost = 100%x - 93%x

Cost = x * (100/100 - 93/100)

Cost = x * (1 - 0.93

Cost = 0.07 x

Answer:

1.44 and 0.07

Step-by-step explanation:

(a)

A 44% increase of the original amount (100%) is

100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier

(b)

A 93% decrease of the original amount (100%) is

100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier

Answer: $0.35/ounce

Step-by-step explanation: Since there are 6 ounces, you measure the unit cost in ounces, and since there is 6 you divided 6 by 210 = 35. We convert back to money and get $0.35 an ounce.

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Answer:

Step-by-step explanation:

Actually it’s 4 square root 17

Answer:

28/3

Step-by-step explanation:

1.Find the slope

2.Set up equation y1-y2/x1-x2

3.solve

4.your answer

28/3

1. Daily earnings of an amusement park before any 2$ increases

2. Number of tickets sold after x increases of 2$

Hopefully this helps!

The answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

An amusement park prices tickets at $55 and sells an average of 500 tickets daily.

From the question, we have a polynomial that represents the daily earnings of the amusement park.

P(x) = -40x² - 100x + 27,500

The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increases.

And (500 - 20x) represents the number of tickets sold after x increases of $2

Thus, the answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.

Learn more about Polynomial here:

brainly.com/question/17822016

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Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

Answer:

A

Step-by-step explanation:

18 is 2% percentage of number 300

Answer:

88

Step-by-step explanation:

Looks close to a right angle so 88 degrees most likely.

Answer:

b 88

Step-by-step explanation:

Answer:

8 times 10^9

Step-by-step explanation:

hope it helps

Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

Learn more about average here;

https://brainly.com/question/27851466

#SPJ2

Answer:

The amount of money​ you'll have at the end of the years is 6460 dollars

Step-by-step explanation:

The total principal sum of money deposited = [tex]3400[/tex] dollars

The annual rate of interest is [tex]4.5[/tex] %

The time period for which the amount is invested [tex]= 20[/tex] years

As we know

[tex]A = P (1 + rt)[/tex]

where A is the amount after 20 years

P is the principal sum of money

r is the rate of interest and

t is time period in years

Substituting the given values in above equation, we get -

[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars

Answer:

11:50am

Step-by-step explanation:

She started at 10:00 so you add 20 minutes for the yard(10:20). Then you add one hour and 15 minutes for the house(11:35). Then add the last 15 minutes for the garage(11:50). 11:50am is your answer.

Answer:

Step-by-step explanation:

1.

Multiply the first equation by 3/2:

Subtract the second equation:

Find y:

2.

Double the second equation and subtract the first one:

Find y:

3.

Subtract the second equation from the first one:

Find y:

4.

Multiply the second equation by 4 and subtract the first one:

Find x:

Answer:

1. [tex]x\x=\frac{22}{5}=4.5, y=\frac{27}{5}=5.5[/tex]

2. [tex]x=\frac{16}{5}=3.2,y=\frac{41}{5}=8.3[/tex]

3. x=−7,y=15.

4. [tex]x=\frac{37}{15}=2\frac{7}{15},y=\frac{349}{15}=23\frac{4}{15}[/tex]

Step-by-step explanation:

I hope this helps.

Answer:

small

per Oz

0.269 dollars

medium

per Oz

0.227 dollars

large

per Oz

0.1845 dollars

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.