Answer:
10) area of 130° segment 4.5 in²
Step-by-step explanation:
10) area of full circle = πr² = (3.14)(2²) = 12.56 in²
area of 130° segment = (130/360)(12.56) = 4.54 in²
Answer:
2.5% of IQ scores are no more than 65
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:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
Answer:
6
Step-by-step explanation:
Let "a number" = x
44 = 8x - 4
Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 4 to both sides:
44 (+4) = 8x - 4 (+4)
44 + 4 = 8x
48 = 8x
Isolate the variable, x. Divide 8 from both sides:
(48)/8 = (8x)/8
x = 48/8
x = 6
6 is your answer.
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Answer:
the missing is 4.98
Step-by-step explanation:
Answer:
f(6) = 1
Step-by-step explanation:
Function:
f(x) = -2/3x + 5
f(6) = -2/3(6) + 5
f(6) = -4 + 5
f(6) = 1
