Answer:
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
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:
The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So
has a pvalue of 0.7881.
1 - 0.7881 = 0.2119
So 21.19% of the students use the computer for longer than 40 minutes.
Out of 10000
0.2119*10000 = 2119
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
For this case, the first thing you should do is define a variable.
We have then:
t: temperature (degree Fahrenheit).
We write then the inequation that adapts to the problem:
t> = 451
Answer:
an inequality that is true only for temperatures at which books spontaneously catch on fire is:
t> = 451
Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
Answer:
Answer is B. 36 degrees
Step-by-step explanation:
From the diagram,
angle WBY = 2 × angle WXY
angle WBY = 72°
angle WXY =
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
