Answer:
Work done = 73.575 J
Step-by-step explanation:
Given,
Mass (m) = 5 kg
Height (h) = 1.5 m
Gravity (g) = 9.81 m/s²
Work done = ?
Work done
= mgh
= 5 kg × 9.81 m/s² × 1.5 m
= 73.575 joule (J)
⊱─━━━━━━━━━⊱༻●
Hope it helps ⚜
Step-by-step explanation:
- x²+4+3
- x²+x+3x+3
- x(x+1)+3(x+1)
- (x+1)(x+3)
hope it helps.
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Answer:
10
Step-by-step explanation:
first u take 2 1/2 and change it into a improper fraction.
so 2 X 2 = 4 then + 1
=5
5/2 divide by 1/4
which is 10
Answer:


Step-by-step explanation:
Problems of normally distributed samples are 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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when
. So




Also, when X = 14, Z has a pvalue of 0.925, so when 




Replacing in the first equation





Standard deviation:




Answer:
y=−x−1/3x−8
Step-by-step explanation:
y=8x−1/3x+1
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=8x−1/3x+1 becomes x=8y−1/3y+1.
Now, solve the equation x=8y−1/3y+1 for y.
y=−x−1/3x−8
Sorry I was in a rush and couldn't do the fractions as formulae. Hope it helped anyways.