Find the value of x.
1 answer:
Answer:
Step-by-step explanation:
The two angles are inside a right angle. The small box signifies a right angle/ 90° angle.
Therefore, the sum of the angle measures must equal 90. We can set up an equation.
Combine the like terms on the right side. The 2 constants: 56 and 16 can be added.
Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.
x is equal to 18 and choice A is correct.
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Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111
Answer:
12 cleaners
Step-by-step explanation:
8 cleaner can clean in 3 hours = 1 office
1 cleaner can clean in 3 hours = part of job
1 cleaner can clean in 1 hours = part of job
Let the number of cleaner required to finish the job in 2 hours = x
hence
x cleaner can clean in 1 hours = part of job
x cleaner can clean in 2 hours = part of job
Hence
Hence we need 12 men to complete the same job in 2 hours