<span><span>
</span><span><span>
93
-
3
=
90
</span>
<span>
90
-
3
=
87
</span>
<span>
87
-
3
=
84
</span>
<span>
84
-
3
=
81
</span><span>81
-
3
=
78
</span>
<span>
78
-
3
=
75
</span>
<span>
75
-
3
=
72
</span>
<span>
72
-
3
=
69
</span>
<span>
69
-
3
=
66
</span>
<span>
66
-
3
=
63
</span>
<span>
63
-
3
=
60
</span>
<span>
60
-
3
=
57
</span>
<span>
57
-
3
=
54
</span>
<span>
54
-
3
=
51
</span>
<span>
51
-
3
=
48
</span>
<span>
48
-
3
=
45
</span>
<span>
45
-
3
=
42
</span>
<span>
42
-
3
=
39
</span>
<span>
39
-
3
=
36
</span>
<span>
36
-
3
=
33
</span>
<span>
33
-
3
=
30
</span>
<span>
30
-
3
=
27
</span>
<span>
27
-
3
=
24
</span>
<span>
24
-
3
=
21
</span>
<span>
21
-
3
=
18
</span>
<span>
18
-
3
=
15
</span>
<span>
15
-
3
=
12
</span>
<span>
12
-
3
=
9
</span>
<span>
9
-
3
=
6
</span>
<span>
6
-
3
=
3
</span>
<span>
3
-
3
=
0
</span>
</span></span>
Answer:
The mean will stay the same.
The standard deviation will decrease.
Step-by-step explanation:
For the 5 cards, she has received, the mean will be:
μ=(∑x)/n
=125/5
=25
The mean is 25 and the standard deviation is 10.
σ=10
If a new card is received with $25, then the sum will be $150
So the new mean will be:
μ'=(∑x)/n
=150/6
=25
And the new standard deviation will be:
σ'= 9.12
We can clearly see that
μ= μ'
and
σ> σ'
So the mean will remain the same and standard deviation will decrease.
.
The money has been in the account f<span>or 5 years. This means that the amount of deposit was increased for 5 times.
75*1.04*1.04*1.04*1.04</span>*1.04=75*1.04^5≈91.3 $
In this way i prefer to chose <span>D) $90.00 beacuse it's the nearest number</span>
So just plug in the numbers (x,y) into the equations.
A) (7.5, -5)
2(7.5) -5 = 10
15 - 5 = 10 yup, this works.
Let's see if it works for other equation.
-2(7.5) + 2(-5) = 5
-15 - 10 = 5 nope, this does not work.
B) (-2.5, -5)
2(-2.5) - 5 = 10
-5 - 5 = 10 nope, doesn't work
Since it doesn't work we don't need to try for other equation.
C) (2.5, 5)
2(2.5) + 5 = 10
5 + 5 = 10 yup, this works.
Now the other equation.
-2(2.5) + 2(5) = 5
-5 + 10 = 5 and this works.
So the solution to this set is answer choice C
35/7=5
your mean is 5
hope this helps