V = area of base * height = 1/2 * 5 * 4 * 10 = 100 cm³
Answer is A
Answer: 2.5%
Step-by-step explanation:
Mean score = 65
Standard deviation = 5
Score (x) = >75
Z-score = [(score - mean) ÷ standard deviation]
Z - score = [(75 - 65) ÷ 5]
Z - score = 10 ÷ 5 = 2
P(score higher than 75) = 100 - 95 = 5/2 = 2.5%
First, we can expand the terms on the right side of the equation:
y
−
10
=
2
(
x
−
8
)
y
−
10
=
(
2
×
x
)
−
(
2
×
8
)
y
−
10
=
2
x
−
16
Next, we can add
10
and subtract
2
x
from each side of the equation:
−
2
x
+
y
−
10
+
10
=
−
2
x
+
2
x
−
16
+
10
−
2
x
+
y
−
0
=
0
−
6
−
2
x
+
y
=
−
6
Now, multiply each side of the equation by
−
1
−
1
(
−
2
x
+
y
)
=
−
1
×
−
6
(
−
1
×
−
2
x
)
+
(
−
1
×
y
)
=
6
2
x
+
(
−
y
)
=
6
or
2
x
−
y
=
6
Problem 4:
4a = -15
4b = -75
4c = 125
Problem 5:
5a = -5
5b = 95
5c = -19 
Step-by-step explanation:
<em> See attached for my work. </em>
For problem 4, we substitute the different values given for x and solve.
For problem 5, we set the function equal to the given values and solve.
$744.43, #3, and 17,922 ok