For the given polynomial P(x) and c=1/2 use the remainder theorem to find P(c).
1 answer:
You might be interested in
Answer:
And if we solve for a we got
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
One way to compare is to find the price per gallon.
$24 for 4 gallons = 24÷4 = $6 per gallon
8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1
)
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price
$24 for 4 gallons = 24÷4 = $6 per gallon
8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price