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tatyana61 [14]
2 years ago
13

The length of a radius of a circle, measured in centimeters, is represented by the expression x + 1.5. The diameter of the circl

e is 93
cm
What is the value of x?
Enter your answer as a decimal or mixed number in simplest form in the box
X=

Mathematics
1 answer:
Tomtit [17]2 years ago
6 0

The value of x of a circle with radius x + 1.5 and diameter of 9 2 / 5 cm is 7.9 cm

<h3>Radius of a circle</h3>

Radius of a circle is half of the diameter of a circle. The radius extend from the centre of the circle to the circumference.

Mathematically,

radius = 1 / 2 (diameter)

Therefore,

radius = (x + 1.5) cm

diameter = 9 2 / 5 cm = 47 / 5 cm

let's find x with the relationship above.

Therefore,

x + 1.5 = 47 / 5

subtract 1.5 from both sides

x + 1.5 - 1.5 = 9.4 - 1.5

x = 7.9 cm

learn more on radius here: brainly.com/question/12183018

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Answer:

a) 68% of the observations lie between 90 and 150.

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c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

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.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

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This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

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azamat

Answer:

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Step-by-step explanation:

To find the total weight of his purchase, we sum the weight of each of his purchases.

He purchased:

4/9 pound of peanut.

7/11 pounds of raisins

Total:

The least common multiple between 9 and 11 is 99.

Then

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The total weight of his purchase is 1.08 pounds

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Answer:

Step-by-step explanation:

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