Answer:
Octagonal pyramid
Step-by-step explanation:
Hexagonal Prism: 8 faces
2 hexagon bases, and 6 faces that connect each side of the bases
Octagonal pyramid: 9 faces
One octagon base, and 8 faces that meet at a point- all extending from each side of the base
Rectangular prism: 6 faces
Two rectangle bases, and 4 faces connecting each side of the bases
Pentagonal pyramid: 6 faces
One pentagon base, and 5 faces that meet at a point- all extending from each side of the base
I recommend searching for a picture of each of the figures to help you understand this.
Answer:
You would use miles when you are measuring long distances.
Answer:
a) Sample correlation coefficient, r = 0.7411
bi) test statistic, t = 4.102
bii) P-value = 0.000736
Step-by-step explanation:
a) The formula for the sample correlation coefficient is given by the formula:
r = 0.7511
b)
i) formula for the test statistic is given by the formula:
sample size, n = 4
t = 4.102
ii) Degree of freedom, df = n -2
df = 14 -2
df = 12
The P-value is calculate from the degree of freedom and the test statistic using excel
P-value =(=TDIST(t,df,tail))
P-value = (=TDIST(4.1,12,1)
P-value = 0.000736
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
given c = 6 in., a = 2 in.
So the three side are 2, 6, and 5.66 inches