Answer:
Step-by-step explanation:
There are 12 E's out of 100 tiles.
Tiles are not replaced.
<u>The probability of each of first 4 E's is:</u>
- The first E ⇒ P(E) = 12/100 = 3/25
- The second E ⇒ P(E) = 11/99 = 1/9
- The third E ⇒ P(E) = 10/98 = 5/49
- The fourth E ⇒ P(E) = 9/97
<u>The probability of 4 E's is:</u>
- P(4 E's) = 3/25*1/9*5/49*9/97 = 3 / (5*49*97) = 3 / 23765
Answer:
The limit that 97.5% of the data points will be above is $912.
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:

Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So




The limit that 97.5% of the data points will be above is $912.
Answer:
Step-by-step explanation:
r = 7 cm
h = 15cm
pi = 3.14
Top and bottom (These questions drive you crazy when you don't know if there is both a top and bottom).
Area = 2* pi *r^2 = 2 * 3.14 * 7^2
Area = 2 * 3.14 * 49
Area = 307.72 Don't round this.
Cylinder body
Cylinder body = Circumference * h = 2*pi * r * h
Cylinder body = 2* 3.14 * 7 * 15
Cylinder body = <u> 659.4</u>
<u />
Total = 967.12
Rounded 967.1 Answer
I know its a long problem but i have to shiw how i got my answer.
Answer:
I hope this helps you and you have an amazing day the answer
Width=12
Length=30
Step-by-step explanation:
L=2W+6
is
P=2L+2W
84=2(2W+6)+2W
84=4W+12+2W
84=6W+12
6W=84-12
6W=72
W=72/6
W=12 ans. for the width.
L=2*12+6=24+6=30 ans. for the length.
Proof:
84=2*30+2*12
84=60+24
84=84