Answer:
b) 0.42
Step-by-step explanation:
Let A be the event that card is a heart card and B be the event that card is a face card.
We have to find P(A or B). P(A∪B)=?
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 13 heart cards and 12 cards are face cards. There would be 3 face card in hearts. So,
P(A)=13/52=1/4=0.25
P(B)=12/52=3/13=0.231
P(A∩B)=3/52=0.058
P(A∪B)=0.25+0.231-0.058
P(A∪B)=0.481-0.058
P(A∪B)=0.423
So, the probability that the card is a heart or is a face card is about is 0.42.
Answer:
40units²
Step-by-step explanation:
find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.
do the formula for rectangle
A = bh
A = 8×2
A = 16
Now the formula for Trapezoid
A = 1/2h(b+b)
A = 1/2×4(4+8)
A = 1/2×4(12)
A = 1/2(48)
A = 24
16+24 = 40
Answer:
x = 36
Step-by-step explanation:

Subtract x and 36 from both sides.

Divide both sides by -1.

Square both sides.

Subtract 144x from both sides.

Factor the right side.



Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.
Check x = 36:





Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.
Answer:
x = 7
Step-by-step explanation:
=> 9/72 = 3x-20/56
=> 9×45/72 = 3x-20
=> 27/3 = x
=> x = 7
Parentheses are used to identify which numbers you should add,multiply .ect first. So If i had
12-(3+1)=x
then you would want to solve 3+1 before you subtract 12.