Answer:
Surface Area = 165.06 inches 2
Step-by-step explanation:
5.1 in.
3 in.
8.3 in.
Surface Area = 2×(5.1×3 + 5.1×8.3 + 3×8.3)
= 165.06 inches 2
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Then you are in 3rd place ... because by passing 3rd position holder , you will then be in 3rd place.
The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
<h3>How to determine the probability?</h3>
The distribution of the marbles is given as:
White = 3
Yellow = 4
Green = 5
Total = 12
The probability of selecting a white marble is:
P(White) = 3/12
Now, there are 11 marbles left.
The probability of selecting a yellow marble is:
P(Yellow) = 4/11
The required probability is:
P = 3/12 * 4/11
Evaluate
P = 0.091
Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
Read more about probability at:
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Answer:
A) 99.74%
B) 633.6 hours and 986.4 hours
Step-by-step explanation:
Solution :
Given that ,
mean = u =810
standard deviation = sigma = 90
P(540< x <1080 ) = P[(540-810) /90 < (x - u ) / sigma < (1080-810) /90 )]
= P( -3< Z < 3)
= P(Z <3 ) - P(Z < -3)
Using z table
=0.9987-0.0013
= 0.9974
answer=99.74%
(B)
middle 95% of score is
P(-z < Z < z) = 0.95
P(Z < z) - P(Z < -z) = 0.95
2 P(Z < z) - 1 = 0.95
2 P(Z < z) = 1 + 0. 95= 1.95
P(Z < z) = 1.95/ 2 = 0.975
P(Z <1.96 ) = 0.975
z ±1.96
Using z-score formula
x= z * sigma + u
x= -1.96* 90+810
x= 633.6
Using z-score formula
x= z * sigma + u
x=1.96* 90+810
x= 986.4
633.6 hours and 986.4 hours