Answer:
Let number of cans collected by Shane =S
Number of cans collected by Abha=S+178
As, it is given that ,Abha collected 178 more cans than Shane did.
Also, the statement about inequality is
Both Shane and Abha have to collect no less than 2000 cans for recycling.
Writing the statement in terms of inequality
S +S+178 ≥ 2000
2 S ≥ 2000 - 178
2 S ≥ 1822
Dividing both sides by 2, we get
S≥ 911
So, Shane must have collected At least 911 cans.
If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.

The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.
Let p = amount of money paid by the person.


The person gave the vendor $40.
Answer:
The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.
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
.
So it is z with a pvalue of
, so 
Now, find 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 mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds
The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds
Rounded to one decimal place
The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.
Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As, 
So, time for running= 
And time for riding= 
Equation becomes:

Now, multiply every term by 2x(x+9) to clear denominators:

Simplifying it we get

Solve the quadratic equation using formula

putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph
The answer is
.
Multiple numerators by nums, and denoms by denoms.
·
= 
simplified is 
Hope this helped and branluest would be appreciated