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MissTica
3 years ago
14

An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to usi

ng the potatoes to make potato chips. Unless there is clear evidence that this proportion, p, is less than 0.10, he will reject the shipment. He selects a random sample of 200 potatoes from the more than 5000 potatoes on the truck. Twelve of the potatoes sampled are found to have major defects. How would you interpret the meaning of this confidence interval?
Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion, p, is less than 0.10, he will reject the shipment. He will test the hypotheses

H0: p = 0.10, Ha: p < 0.10. He selects an SRS of 100 potatoes from the over 2000 potatoes on the truck. Suppose that 6 of the potatoes sampled are found to have major defects

Step-by-step explanation:

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serg [7]

Answer:

It is perpendicular

Step-by-step explanation:

6 0
2 years ago
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Can anyone help me solve these math problems?
Veseljchak [2.6K]

Answer:

  1. x = 2
  2. r = 48
  3. 3536 ft
  4. √10
  5. 10°

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

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2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

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3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

__

4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

__

5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

8 0
3 years ago
Nina deposited $3400 into a savings account that pays a simple annual interest rate of 2.2% how much interest will she earn afte
leva [86]
Total = principal * (1 + rate)^years
Total = 3,400 * (1.022)^.25
<span> <span> <span> 3,418.55 </span> </span> </span>
So, after 3 months, $18.55 in interest is earned.

5 0
4 years ago
joes family has compleated 60% of a road trip. if they have traveld 30 miles, how far is the full road trip?
Tems11 [23]

The full road trip is 50 miles.

Step-by-step explanation:

Given,

Distance traveled by Joe's family = 30 miles

This represents 60% of the total distance to be traveled.

Let,

x be the total distance.

60% of x = 30

\frac{60}{100}*x=30\\0.6x=30

Dividing both sides by 0.6

\frac{0.6x}{0.6}=\frac{30}{0.6}\\x=50\ miles

The full road trip is 50 miles.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

4 0
3 years ago
What is the slope? What is the y-intercept? What is the equation of the line (slope intercept form?)
yawa3891 [41]

Answer:

                The slope is: m = -²/₅

               The y-intercept is:  b = -2

               The equation of the line: y = -²/₅x - 2

Step-by-step explanation:

  The equation of a line in slope intercept form: y = mx + b

The slope:   m=\dfrac{y_2-y_1}{x_2-x_1}

(-5, 0)   ⇒  x₁ = -5,  y₁ = 0

(0, -2)   ⇒  x₂ = 0,  y₂ = -2

So:

     m=\dfrac{-2-0}{0-(-5)}=-\dfrac25

7 0
3 years ago
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