Answer:
14 degrees
Step-by-step explanation:
Supplumentry angles add up to 180 degrees.
180 - 166 = 14 degrees
F(-1)
replace all x with -1
f(-1)=-3(-1)^2+2(-1)-7
f(-1)=-3(1)-2-7
f(-1)=-3-9
f(-1)=-12
Answer:
Option A.
Step-by-step explanation:
In an experiment a mouse took the mean time to find its way through a maze = 18 seconds.
So the mean time μ = 18
So null hypothesis says,
H₀ : μ = 18
Then a researcher thought that the mice can complete the maze faster than the time taken earlier.
So he thinks mean time taken by 10 mice will be less than 18 seconds.
Or μ < 18
Alternate hypothesis says will be
Hₐ : μ < 18
Therefore, null hypothesis and alternate hypothesis will be
H₀ : μ = 18
Hₐ : μ < 18
Option A. will be the answer.
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to


so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x

therefore
The measure of the shortest side is 851 miles
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean,
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis

We use One-tailed t test to perform this hypothesis.
Formula:

Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.