SA of a pyramid: 1/2ph + B
p = perimeter of base
h = slant height
B = area of base
Perimeter of base:
The pyramid has a square base, so take a side of the base and multiply it by 4 sides to find the perimeter of the base.
(2)(4) = 8 cm
Slant height:
The diagram shows that the slant height of the pyramid is 4 cm.
Area of base:
Since the pyramid has a square base, square one side of the base to find the area of the pyramid.
2cm² = 4 cm²
Now plug in the perimeter, slant height, and area of the base into the formula for SA of a pyramid.
1/2(8)(4) + 4
16 + 4 = 20 cm²
The surface area of the pyramid is 20 cm².
Answer:
a) H0: p > 0.0016
H1: p ≤ 0.0016
Step-by-step explanation:
A null hypothesis states that there is no relation between two variables, it's what the researcher wants to discredit.
On the other hand, the alternative hypothesis is what the researcher tries to prove.
<u>The claim of this entomologists is that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Therefore, this claim is what he wants to prove and it would be the alternative hypothesis.</u>
H1: p ≤ 0.0016
The null hypothesis would be the opposite of the alternative hypothesis and therefore it would be:
H0: p > 0.0016
18 = (240/100) x what;
what = 18 x (100/240);
what = 1800/240;
what = 7.5;
2014⇒2277 athletes
2013⇒2070 athletes.
x=number of athletes in 2013
110% of x=2277
(110/100x=2277
x=(2277*100)/110=2070
2012⇒2300 athletes.
x=number of athletes in 2012
90% of x=2070
(90/100)x=2070
x=(2070*100)/90=2300
Answer: 2300 athletes were signed up for a spring sport in 2012.
Answer:
A=z
B=-2
C=0
D=30
Step-by-step explanation:
First lets simply the equation
21 - (2x +3)2 + 4(1-1) + z^3
21 - (2x^2 + 9) + 4(0) + z ^3
21 - 2x^2 + 9 + z^3
- 2x^2 + z ^3 + 30
This means that:
A=z
B=-2
C=0
D=30