Answer:
a. 0
b. -300
c. -450
Will we pass if we got 14.5out of 40
2 answers:
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Answer:
0.13% of students have scored less than 45 points
Step-by-step explanation:
Problems of normally distributed samples can be 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:
About what percent of students have scored less than 45 points?
This is the pvalue of Z when X = 45. So
has a pvalue of 0.0013
0.13% of students have scored less than 45 points
*see attached picture for the diagram of the box
Answer:
130cm²
Step-by-step explanation
The amount of red appear needed by Marcus to cover his box = Surface Area of the cube - Area of the circle.
Surface area of cube = 6s² (where s is the side length of the cube. s² therefore is S.A of 1 face of the cube)
Given that s = 5cm,
S.A of cube = 6s² = 6*5² = 150cm²
Area of circle = πr²;
Given that π = 3.14, and r = ½ of diameter of circle (i.e. ½ of side length of cube)
Area of circle = 3.14*(½*5)² = 3.14*(2.5)² = 3.14*6.25 =19.625
Amount of red paper needed = S.A of the cube - Area of the circle = 150cm² - 19.625cm² = 130.375cm² = 130cm²
