Answer:
17
Step-by-step explanation:
1+7p-40=80
-39+7p=80 Move constant to the right
7p=80+39 add the numbers
7p=119 divide both sides by 7
Answer:
n-2
Step-by-step explanation:
1. Find what has been done to the input value to give the output value. Here, we can see that each input value is two more than each output value, so two has been subtracted from each input value to give the output. This means that the rule for this function is: <em>take the input value and subtract two.</em>
2. Express this in terms of n. We can then express this in terms of n (using n to show the rule that we have found). Since n is the input value we have, to find the output when the input is n, we subtract two from n. This gives us our answer of n-2.
Answer:
(22,0)
Step-by-step explanation:
y=mx+b
y=-2/3x+44/3
0=-2x/3+44/3
x=22
(22,0)
Answer:
(
5
,
π
)
Step-by-step explanation:
−
5
=
r
cos
θ
88
[
1
]
0
=
r
sin
θ
8888
[
2
]
Squaring [1] and [2]:
25
=
r
2
cos
2
θ
0
=
r
2
sin
2
θ
Adding [1] and [2]:
25
=
r
2
cos
2
θ
+
r
2
sin
2
θ
Factor:
25
=
r
2
(
cos
2
θ
+
sin
2
θ
)
25
=
r
2
⇒
r
=
±
5
( use
r
=
5
)
Answer:
The proportion of student heights that are between 94.5 and 115.5 is 86.64%
Step-by-step explanation:
We have a mean 
and a standard deviation 
. For a value x we compute the z-score as 
, so, for x = 94.5 the z-score is (94.5-105)/7 = -1.5, and for x = 115.5 the z-score is (115.5-105)/7 = 1.5. We are looking for P(-1.5 < z < 1.5) = P(z < 1.5) - P(z < -1.5) = 0.9332 - 0.0668 = 0.8664. Therefore, the proportion of student heights that are between 94.5 and 115.5 is 86.64%
