(2m-3)(3m-4)expand the following algebraic expression
2 answers:
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Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.
The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.
- d= 52 yd
Also, remember we are using 3.14 for pi.
= 3.14
Substitute these values into the formula.
Multiply.
The circumference of the circle is <u>163.28 yards.</u>
Step-by-step explanation:
By the formula of slope, we have
Answer:
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
Step-by-step explanation:
Empirical Rule
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
In this question:
Mean of 127, standard deviation of 10.
For the sample mean:
By the Central Limit Theorem, mean is 127, while the standard deviation is
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?
By the Empirical Rule, within 2 standard deviations of the mean. So
127 - 2*5 = 117 mg/dl
127 + 2*5 = 137 mg/dl.
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.