If 90 is in 80% of value,what is that value
2 answers:
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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:
Hello a value is missing in your question below is the value
samples of n = 10
answer : 24.63 < μ < 25.370
Step-by-step explanation:
Given :
Sample size = n = 10
Z∝/2 = Z0.0256 = 1.95
next calculate for margin of error
E = Z∝/2 * ( 0.6 / / )
= 0.370
therefore at 94.87% confidence interval the estimated population mean is
x - 0.370 < μ < x + 0.370
25 - 0.370 < μ < 25 + 0.370
24.63 < μ < 25.370