Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (,,)
(
μ
,
p
,
σ
)
for the indicated parameter.

An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.

Group of answer choices

0
H
0
:
<0.0016
p
<
0.0016

1
H
1
:
≥0.0016
p
≥
0.0016

0
H
0
:
>0.0016
p
>
0.0016

1
H
1
:
≤0.0016
p
≤
0.0016

0
H
0
:
=0.0016
p
=
0.0016

1
H
1
:
<0.0016
p
<
0.0016

0
H
0
:
=0.0016
p
=
0.0016

1
H
1
:
>0.0016

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.