Answer:
0.8029 = 80.29% probability that the thickness is between 3.0 and 7.0 mm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.6 millimeters (mm) and a standard deviation of 1.5 mm.
This means that 
Find the probability that the thickness is between 3.0 and 7.0 mm.
This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. So
X = 7
has a pvalue of 0.9452
X = 3
has a pvalue of 0.1423
0.9452 - 0.1423 = 0.8029
0.8029 = 80.29% probability that the thickness is between 3.0 and 7.0 mm.
Answer:
∠F = 59°
∠E = 31°
DF = ≅ 3 (2.98)
Step-by-step explanation:
<span>The ways to make a 7 with 2 die is:
(1) 6 and 1
(2) 1 and 6
(3) 2 and 5
(4) 5 and 2
(5) 3 and 4
(6) 4 and 3
There are 6 ways to make a 7 with the 2 die,
but there is only 1 way to make 7 if the 1st
die comes up 6.
The probability of getting
(1) 6 and 1 is 1/6</span>
This is a common math problem. There are two ways to answer this question but both will give you the same answer. There is a misconception that this can also equal 40. If someone posts that the answer is 40, please let me know and I will explain why that is not actually the answer.
1+4=5 2+5=7
3+6=21
8+11=
These equations are actually:
1*(4+1)=52*(5+1)=7
3*(6+1)=21
8*(11+1)=96
Therefore:
8+11 = 96
Answer: x=-2
Step-by-step explanation:
To solve for x, we want to isolate x.
-4(11x+2)=80 [distribute]
-44x-8=80 [add both sides by 8]
-44x=88 [divide both sides by -44]
x=-2
Now, we know that x=-2.
