Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.28.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Current value of the boat = $45000
Rate at which the value decrease = 8.5%
Value decreased after 1 year = 
Hence, value becomes = 
Value decreased after 2nd year =

Hence, value becomes = 
Value decreased after 3 year =

Hence, value becomes = 
So, value of the boat after 3 years becomes $34472.74
Answer:
x≥−8
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4x−6≤26
Step 2: Add 6 to both sides.
−4x−6+6≤26+6
−4x≤32
Step 3: Divide both sides by -4.
−4x/−4 ≤ 32/−4
x≥−8
Step-by-step explanation:
003:
To solve this, we'll be using the Pythagorean theorem, 

004:
For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/
.
005:
From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be
/15.
Answer:
003: 
004: 8/
005:
/15