Hi there! So Andy's total lunch bill was $20 and the drink was 15% of the bill. Percents are parts of 100 and 100 - 15 is 85. That means 85% of the total bill was Andy's food cost. Let's multiply 20 by 85% ti get the cost of his food. 20 * 85% (0.85) is 17. Andy's food costed $17. Here are the answers broken down to be easier to read.
Percent of Andy's bill with food: 85%
Cost of food: $17
Answer:
No, it is not prime.
Step-by-step explanation:
67^2 = 4489
A number cannot be prime if it is divisible by a number besides 1 and itself. 4489 is divisible by 67; no perfect square can be prime.
Using the given discrete distribution, it is found that the expected value is of $863.93.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the distribution of costs is given by:
Hence, the expected value is given by:
E(X) = 0.87 x 986 + 0.13 x 47 = $863.93.
More can be learned about discrete distributions at brainly.com/question/24855677
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First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
