Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean total cholesterol level of all males.
Number of sample, n = 355
Mean, u = 185 mg
Standard deviation, s = 16
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
185 +/- 1.96 × 16/√355
= 185 +/- 1.96 × 0.849
= 185 +/- 1.66404
The lower end of the confidence interval is 185 - 1.66404 =183.336
The upper end of the confidence interval is 185 + 1.66404 = 186.66
Therefore, with 95% confidence interval, the mean total cholesterol level of all males is between 183.336 mg and 186.66 mg
The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
brainly.com/question/15767203
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Answer:
Hey there!
The product of these two fractions would equal 15.
Hope this helps :)
Answer: D
Step-by-step explanation:
You have -5 1/2 to find the complete opposite all you have to do is take away the negative sign and find the number on the number line.
Good luck !
<h3>Answer: B. 154 square meters</h3>
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Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
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Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
