Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
Step-by-step explanation:
Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;
The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;
The perimeter of this part of the shape is simply the sum of the two sides:
3 + 3 = 6
The remaining part is the ³/₄ circle, which has a radius of 3 units;
The circumference of a circle is found by the formula:
πd
d = diameter = 2 × radius
We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:
³/₄ × π(2(3)) = ³/₄ × 6π
= ⁹/₂π (or, equally, 4.5π)
So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:
4.5π + 6
