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
Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
<h3>
Answer: 18</h3>
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Explanation:
2 cm on paper (or on screen) represents 3 meters in real life.
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension.
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
It’s c because the triangle is a isosceles triangle meaning both base angles are the same! So a triangle equals 180°. So you subtract 104 from 180. Then divide it by 2 since the base angles are the same
180-104= 76
76/2=38°
Answer:
18.05 g
Step-by-step explanation:
The multiplier of the initial quantity is ...
(1/2)^(t/1690)
so, for t=250, this becomes ...
(1/2)^(250/1690) ≈ 0.902545
Then the quantity remaining of the initial 20 g is ...
(20 g)(0.902545) ≈ 18.05 g
