Answer:
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when 
. So
Also, when X = 14, Z has a pvalue of 0.925, so when 
Replacing in the first equation
Standard deviation:
Answer:
Step-by-step explanation:
We are asked to find the circumference and area of a circle with a radius of 3 meters.
<h3>1. Circumference </h3>
The circumference is the perimeter of a circle. It is calculated using the following formula:
We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.
The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.
Multiply.
<h3>2. Area </h3>
The area is the size of the circle's surface. It is calculated using the following formula.
The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.
Solve the exponent.
- (3 m)² = (3 m)(3 m)= 9 m²
The circumference is 18.84 meters and the area is 28.26 square meters.
Answer:
put 0 first
Step-by-step explanation:
Um Mabry ask for help or reread
Hey there!
You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.
I hope this helps!
