Answer:
s=13
Step-by-step explanation:
s=5q+8
plug in numbers
s=5(1)+8
solve 5*1
s=5+8
solve 5+8
s=13
Answer:
5!= 120
13!= 6227020800
12!/6!= 665280
10!/7! 3!= 120
5(4!)= 120
Step-by-step explanation:
Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7
Answer:
210 miles
Step-by-step explanation:
Let's represent it mathematically.
Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by
B = 65 + ½S
It is also said that together, they drove 500 miles, we represent it with.
B + S = 500
Now, we solve simultaneously.
Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.
2B = 130 + S.
Rearranging, we have
S = 2B - 130.
We substitute this value of S, in the second equation. So we have.
B + (2B - 130) = 500, open the brackets
B + 2B - 130 = 500
3B - 130 = 500, collecting the like terms
3B = 500 + 130
3B = 630
B = 630/3
B = 210 miles.
Therefore, Ben drove 210 miles.
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Answer:
3(u^2 +u-3)
-------------------
u(u-3)^2
Step-by-step explanation:
u 1
---- + -------
u-3 u
-------------------------
u-3
----------
3
Get a common denominator for the numerator
u *u 1(u-3)
---- + -------
(u-3)u u(u-3)
-------------------------
u-3
----------
3
u *u + (u-3)
-----------
(u-3)u
-------------------------
u-3
----------
3
Now use copy dot flip
u *u + (u-3) 3
----------------- * -------------
(u-3)u u-3
3(u^2 +u-3)
-------------------
u(u-3)^2