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.
It wont open it up, so no one can really help
Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
Answer:
Opposite
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the dresser is in shape of a rectangular prism
Note that, a rectangular prism has a shape of a cuboid
So, area of the rectangular prism is same as area of a cuboid
A = (2LB + 2LH + 2BH)
Where
L is length
B is breadth
H is height
Then, given the dimension of the rectangular prism to be
2ft by 2ft by 6ft
Then, you can assume that,
Length L = 2ft
Breadth B = 2ft
Height H = 6ft.
NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.
Then,
A = (2LB + 2LH + 2BH)
A = (2×2×2 + 2×2×6 + 2×2×6)
A = (8 + 24 + 24)
A = 56 ft²
The total surface area of the dresser is 56ft²
