Answer:
n=13
Step-by-step explanation:
3n-6=33
Add 6 to both sides
3n=39
Divide both sides by 3
n=13
1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C
I'm not sure about questions 4 and 7, but they may be correct.
I couldn't because I couldn't see the 2nd question
Answer:
A
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Problem is, we don't know the height, only the slant length. But we can use this to find the height.
If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.
If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.
Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.
c² = a² + b²
37² = 12² + h²
h = 35
Now we can find the volume. h = 35, w = 24, and l = 24:
V = ⅓ h wl
V = ⅓ (35) (24) (24)
V = 6720
So the volume is 6720 ft³, or answer A.
Answer:
a)
b) 0.476
c) 0.667
Step-by-step explanation:
We are given the following in the question:
Y = the number of forms required of the next applicant.
Y: 1, 2, 3, 4, 5, 6
The probability is given by:
a) Property of discrete probability distribution:
b) at most four forms are required
c) probability that between two and five forms (inclusive) are required
Answer:
<em>- 4</em>
Step-by-step explanation:
( 3 - r ) / ( 1 + 5) = 7/6
= 
⇒ 3 - r = 7 ⇒ r = <em>- 4</em>
