Option 2: 
is the right answer
Step-by-step explanation:
Given fraction is:
To solve the fraction, Taking LCM in denominator and numerator
When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,
Hence,
Option 2: is the right answer
Keywords: fractions, simplification
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Answer:
The inverse f-1(x) = ( x + 10)/2.
Step-by-step explanation:
f(x) = 2x - 10
Find x in terms of f(x):
2x = f(x) + 10
x = (f(x) + 10))/ 2
Replace x by the inverse f-1(x) and f(x) by x:
f-1(x) = (x + 10)/2.
A rational number is any number that can be written <em>as a ratio of two integers</em>.
0.62 fits the bill, as it can be written as the ratio 62/100 (or simplified to the ratio 31/50)
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2 = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
=0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
=0.016564
alternatively=1-poisson(5,2,1)
=0.016564
Answer:
A) p = 6
Step-by-step explanation:
Given equation:
3(p - 5) = 5p -27
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Apply the <u>Distributive Property of Multiplication over subtraction law</u>:
⇒ 3 · p - 3 · 5 = 5p - 27
⇒ 3p - 15 = 5p - 27
Add 27 to both sides:
⇒ 3p - 15 + 27 = 5p - 27 + 27
⇒ 3p + 12 = 5p
Subtract 3p from both sides:
⇒ 3p - 3p + 12 = 5p - 3p
⇒ 12 = 2p
⇒ 2p = 12
Divide both sides by 2:
⇒ 2p ÷ 2 = 12 ÷ 2
⇒ p = 6
