The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean). In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000
This means that 34% of the distribution is between 1975 and 2000 hours (within 1 standard deviation below the mean)
2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%.
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean.
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%
The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours.
Answer:
15/28
Step-by-step explanation:
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ANSWER
EXPLANATION
Given information
The sum of the two numbers is 76
The larger number is 16 more than 2 times the smaller number
Let the two numbers be x and y
x ----> Larger number
y ----> smaller number
To find the value of x and y, follow the steps the below
Step 1: Write the algebraic expressions for the statement given
The sum of the two numbers is 72
Mathematically, this can be expressed as
Also, the larger number is 16 more than twice
Answer:
y=2x
Step-by-step explanation:
y=mx+b
If it crosses through the point (0,0) it means that the y intercept (b) is 0.
m=slope
Not sure how to show you the graph but it is simply a diagonal line through (0,0) that will hit (1,2), (2,4), etc.
Step-by-step explanation:
Consider the provided equation.
P=2(l+w)P=2(l+w)
We need to solve the equation for I.
Divide both the sides by 2.
{P}{2}=\frac{2(l+w)}{2}2P=22(l+w)
{P}{2}=l+w2P=l+w
Now isolate the variable I.
Subtract w from both side.
\{P}{2}-w=l+w-w2P−w=l+w−w
I{P}{2}-wI=2P−w
The value of the equation for I is I=\frac{P}{2}-wI=2P−w .
Idk but this might help o_o
