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
In this question, you're trying to figure out what property is being represented.
Your answer would be the Distributive Property
This is your answer because as you can see, you are "distributing" the 2 to the variables inside the parenthesis.
When you distribute the number, you would be multiplying, in which in this case there is multiplication.
Therefore, Distributive property would be the correct answer.
Answer:
a) x changes by 6.5 units
b) y changes by 13 units
Step-by-step explanation:
a. Over this interval, how much does x change by?
Initially, we have that x = 2.
In the end, we have that x = 8.5.
So x changes by 8.5-2 = 6.5 units
b. Over this interval, how much does y change by?
Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15
In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28
So y changes by 28 - 15 = 13 units
Answer:
37 miles per hour
Step-by-step explanation:
To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).
So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.
There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.
Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):
8 ÷ 13/60
Remember, a ÷ b/c = a × c/b. Using this:
8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.
Latoya had an average rate of about 37 miles per hour.
I hope this helps. :)
I hope this helps you
regular hexagon =6 equilateral triangle
Area=6.(10.20/2)
Area=600
