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svetoff [14.1K]
2 years ago
14

In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90

Mathematics
1 answer:
klasskru [66]2 years ago
6 0

Answer:

(b) 360 degrees

Step-by-step explanation:

Required

The central angle

The central angle of a circle is 360^o. This implies that the central angleof the pie chart is also 360^o, because a pie chart is always in form of a circle.

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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
2 years ago
The following angle measures could form a triangle
qaws [65]

Answer:

They don't form a triangle because all triangles degrees have to add up to 180 if you add them all up its 190 so no they don't form a triangle.

Step-by-step explanation:

84+75+31=190

8 0
2 years ago
Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a t
zhannawk [14.2K]

basically get a shape

eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)

now that we have the angles,, extend each side with a line to show the exterior angles.

we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle

you would use:

[ 180- internal angle]

do this for all external angles

add all your answers together,, should equal to 180

5 0
2 years ago
What is f(-4) if f(x)=|7x-3|
MrRissso [65]
Substitute the given into the function

f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31| 
the absolute value of |-31| is 31
so, 
f(-4) = 31

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Alja [10]

Answer:

Table B

Step-by-step explanation: skidaddle skidoodle you probably know the rest 8)

4 0
3 years ago
Read 2 more answers
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