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Jobisdone [24]
3 years ago
15

The number of flaws per square yard in a type of carpet material varies with mean 1.7 flaws per square yard and standard deviati

on 0.8 flaws per square yard. This population distribution cannot be normal, because a count takes only whole-number values. An inspector studies 173 square yards of the material, records the number of flaws found in each square yard, and calculates x, the mean number of flaws per square yard inspected. Use the central limit theorem to find the approximate probability that the mean number of flaws exceeds 1.8 per square yard. (Round your answer to four decimal places.) 
Mathematics
1 answer:
maw [93]3 years ago
7 0
Let x be a random variable representing the mean number of flaws per square yard inspected
P(x > 1.8) = P(z > (1.8 - 1.7)/0.8) = P(z > 0.125) = P(z < 0.125) = 0.5497
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A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle
MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

brainly.com/question/22972014

#SPJ4

8 0
1 year ago
The runic cube company packages its 1/4ft, cubes in boxes that are 1 1/2 ft by 1ft by 3/4 ft. How many Rubio cubes can the compa
Rainbow [258]
1/4+1 1/2+3/4=2.5
hope this helps!!!!!
3 0
3 years ago
Read 2 more answers
If 24x = 2.4, what is 12x? <br> F) 0.2<br> G) 1.2<br> H) 4.8<br> J) 2
dem82 [27]
<h3>We have to add decimal after one place so the value of 12 will become 1.2 hence option G is correct.</h3>
3 0
2 years ago
HELP!!! What is the slant height x of the square pyramid? Express your answer in radical form.
katrin [286]
Check the picture below.

make sure your calculator is in Degree mode.

3 0
3 years ago
HELP ME PLZZZ!!!! URGENT!!!​
finlep [7]

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = (p+1)^2-4(1)(2p-5)

For real roots,

(p+1)^2-4(1)(2p-5)>0

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

5 0
3 years ago
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