Answer:
Cross sections perpendicular to the base and through the vertex will be triangles. Below, you can see a plane cutting through the pyramid, part of the pyramid removed, and the cross section. You could also take a slice parallel to the base. Cross sections parallel to the base will be hexagons.
Step-by-step explanation:
Answer:
The graph is shifted 3 units to the left
Step-by-step explanation:
Answer:
-1
Step by step explanation:
Rearrange terms
-6x+7(-x+1)=4(x-4)
Distribute
-6x - 7x + 7 = - 4(x-4)
Combine like terms:
−13+7=−4(−4)
Distribute:
−13+7=−4+16
Subtract 7 from both sides of the equation
−13+7−7=−4+16−7
Simplify
−13=−4+9
Add 4x to both sides of the equation
−13+4=−4+9+4
Simplify
Combine like terms
Combine like terms
−9=9
Divide both sides of the equation by the same term
9x/-9 = 9/-9
Simplify
X= -1
First place: Liz
Faster: Amanda
Longest time: Steve
For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
