B.42
84/2=42
Since abc:84 degrees, all u have to do is divide by 2 because of the angle bisector
Answer:
So we expect about 50% of the middle values within 0.705 and 1.103 g
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amounts of nicotine in a certain brand of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We want to find a two values that accumulates the middel 50% of the data. So we need to find a quantile who accumulates (1-0.5)/2 = 0.25 of the area on each tail and we got:
Since P(Z<-0.674) = 0.25 and P(Z>0.674) =0.25. And using this value we can find the possible values of X
So we expect about 50% of the middle values within 0.705 and 1.103 g
Answer:
E. 800%
Step-by-step explanation:
Since,
u = 8d/h² __________ eqn (1)
Now, density (d) is doubled and usage (h) is halved.
Hence the new life (u'), becomes:
u' = 8(2d)/(0.5h)²
u' = 8(8d/h²)
using eqn (1), we get:
u' = 8u
In percentage,
u' = 800% of u
In words, the percentage increase in useful life of the equipment is <u>800%</u>.
Answer:
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Answer: 27 rows contain 25 vines.
Step-by-step explanation:
Let x represent the number of rows that contain 20 vines.
Let y represent the number of rows that contain 25 vines.
Sarah plants 760 vines in rows containing either 20 vines or 25 vines. This means that
20x + 25y = 760- - - - - - - - - - -1
There are 3 times as many rows containing 25 vines as there are rows containing 20 vines. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
20x + 25 × 3x = 760
20x + 75x = 760
95x = 760
x = 760/95
x = 9
y = 3x = 3 × 9
y = 27