Answer:
3/8
Step-by-step explanation:
There are 24 cards in a euchre deck with 4 Jack and 6 spade
P (J U S) = 4/24 + 6/24 - 1/24 = 1/6 + 1/4 - 1/24 = 3/8
Answer:
This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.
Remember that tif the legs of a right tirsnalge are a and b and they hypoonuse is c then
a²+b²=c²
so
we also know that the area of a triangle is 1/2bh
we are given that area=60 and base=8
so
60=1/2 times 8 times height
60=4 times height
divide both sides by 4
15=height
so the legs are 15 and 8
a=15
b=8
15²+8²=c²
225+64=c²
289=c²
sqrt both sides
17=c
the hypoonuse is 17ft
Let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10
The sum of square will be:
((10 - b)² + 10² + (10 + b)²<span>) / 3 = 394
</span>(100 - 20b + b² + 100 + 100 + 20b + b²<span>) / 3 = 394
</span><span>(300 + 2b</span>²<span>) / 3 = 394
</span>(150+b²)=591
b²=441
b=-21,21
thus the numbers will be:
10-21, 10, 10+21
=-11,10,31
