How many solutions are there for the system shown below? 2x² + y2 = 33 x2 + y + 2y=19
1 answer:
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Answer:
62.29%
Step-by-step explanation:
The probability of Aya being offered a coupon on at least one of the six days she visits the website is 100% minus the probability that she is not offered a coupon on any of the six days, which is described by a binomial probability with zero successes in six trials with a probability of succes p = 0.15.
The probability that Aya will be offered a coupon on at least one of the days she visits the website is 62.29%.
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
At the end of the party <u>5.5 gallons or 88 cups</u> of punch will be leftover.
Step-by-step explanation:
Given:
There are 20 guest at a party.
Now, to find the quantity of punch that will be leftover.
Number of guests = 20.
Total gallons of punch = 8.
Now, using conversion factor we change gallons into cups:
1 gallon = 16 cup.
So, 8 gallons = 16 × 8 = 128 cups.
<u><em>Thus, total cups of punch = 128.</em></u>
Total number of cups each guest will drink = 2.
Now, to get total number of cups the 20 guests will drink by multiplying:
<u><em>Total number of cups the 20 guests will drink = 40.</em></u>
So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:
So, 88 cups =
Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.