Answer:
74.86% probability that a component is at least 12 centimeters long.
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.
In this problem, we have that:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
Hey!
First, let's find the area. The formula for finding area of a circle is: π · r²
Radius is ½ of the diameter. Divide the diameter by 2 to get the radius.
d = 18
18 ÷ 2 = 9
r = 9
r² = 9 × 9 = 81
The area of the whole pizza is 81π. There are 10 slices. Divide the area of the whole pizza by 10 to find the area of 1 slice.
81π ÷ 10 = 8.1π
<em>That means each slice is 8.1π inches²</em>
Answer:
B. The average quantity of detergent put into a box by a filling machine greater than one pound
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. From the case above option B "The average quantity of detergent put into a box by a filling machine greater than one pound" tries to establish a difference between the variable ("quantity of detergent put into a box by a filling machine") is different from its average/mean
Step-by-step explanation:
x=90°
SUM OF ALL ANGLES OF PENTAGON =540
90+2(180-Y)+105+113=540
90+360-2Y+105+113=540
488-2Y=540
It's between 2,000 and 3,000. Also 2,020 and 2,030. (The answer is 2,023.) c:
