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coldgirl [10]
3 years ago
15

The circumference of a circle is 6.28 meters. What is the circle's radius? C = 6.28 m

Mathematics
1 answer:
Westkost [7]3 years ago
3 0
The circumference of a circle with radius r is c = 2*pi*r. Dividing both sides by 2*pi gives r = c/(2*pi). For c=6.28 the radius is r= 6.28/(2*pi) which is approximately 1 since pi is approximately 3.14
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Two negative integers are 8 units apart on the number line and have a product of 308.
Svetach [21]
Calll x the smaller negative number.

The larger number will be x + 8

The product will be x(x+8) = 308

An the equation:

x^2 + 8x = 308
x^2 + 8x - 308 =0

If you solve that equation you will get x = -22 and x = 14.

The result that you are looking is the negative, x = -22.

The larger number is -22 + 8 = -14.

(-22)*(-14) = 308

Answer: x^2 + 8x - 308 =0


3 0
3 years ago
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garik1379 [7]
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If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibra
Sliva [168]

Answer:

16% probability that the facility needs to recalibrate their machines.

Step-by-step explanation:

We have to use the Empirical Rule to solve this problem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What is the probability that the facility needs to recalibrate their machines?

They will have to recalibrate if the number of defects is more than one standard deviation above the mean.

We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.

So there is a 16% probability that the facility needs to recalibrate their machines.

7 0
3 years ago
What is the solution to the inequality x^2 >64
Gnom [1K]

Answer:

see explanation

Step-by-step explanation:

Consider

x² = 64 ( take the square root of both sides )

x = 8 , x = - 8 ← are the critical points

Then for x² > 64

x < - 8 or x > 8

4 0
3 years ago
Question 9 options:
masya89 [10]

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

6 0
3 years ago
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