Sorry for the way it came out but the Answer:
2
x
+
5
=
43
∘
3
x
−
10
=
47
∘
Explanation:
A complementary angles means angles that add up to
90
degrees. The two angles given in the question are complementary angles.
So
Our first angle
(
2
x
+
5
)
plus the second angle
(
3
x
−
10
)
is equal to
90
degrees
(
2
x
+
5
)
+
(
3
x
−
10
)
=
90
Now we solve for
x
, first we add up the like terms
2
x
+
3
x
+
5
−
10
=
90
5
x
−
5
=
90
Add
5
to both sides
5
x
=
95
Divide both sides by
5
we get
x
=
19
Now and after we find
x
we substitute it to get our two angles
2
x
+
5
=
2
(
19
)
+
5
=
43
∘
3
x
−
10
=
3
(
19
)
−
10
=
47
∘
Hope it helps :)
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
We can rewrite f(x+2) to make it easier to evaluate:
f(x+2) = (6x +5)x -8
Since we want f(6), we want x+2 = 6, or x=4.
f(6) = (6·4 +5)·4 -8 = 29·4 -8
f(6) = 108
X1 + X2 + X3 <27 for all Xi> 0
X1 + X2 + X3 <27 for all Xi> 0, X2 >/ 5
I solved it this way , hope it’s correct ;)
Answer:
Mean of sampling distribution = 5.10 alcoholic drinks per week
Standard deviation of the sampling distribution = 0.11
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 5.10 alcoholic drinks per week
Standard Deviation, σ = 1.3401
Sample size, n = 150
a) Mean of sampling distribution
The best approximator for the mean of the sampling distribution is the population mean itself.
Thus, we can write:

b) Standard deviation of the sampling distribution
