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galina1969 [7]
3 years ago
9

If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hour for the next

arrival is:
Mathematics
1 answer:
solniwko [45]3 years ago
6 0
<span>The answer is 0.8347. Mean u = 1/m = 3.6 per hour Time x = 0.5 hour Exponential Probability = P(X <= x) Going by the Cumulative distribution function P(X <= x) = 1 - e^(-mx) P(X < .5) = 1 – exp^(-3.6 x 0.5) = 1 – 0.1653 = 0.8347</span>
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What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?
Dmitriy789 [7]

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation  A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

3 0
3 years ago
Given the expression: 5x^10-80x^2 Part A: Rewrite the expression by factoring out the greatest common factor
Jlenok [28]

Answer:

A) 5x²(x^(8) - 16)

B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

Step-by-step explanation:

We are given the expression;

5x^(10) - 80x²

A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.

So, we have;

5x²(x^(8) - 16)

B) The complete factorization of 5x²(x^(8) - 16) will be;

5x²[(x⁴ + √16) • (x⁴ - √16)]

Now, (x⁴ - √16)] can be broken than further into;

(x² + ∜16) • (x² - ∜16)

Also, (x² - ∜16) can be broken down into;

[(x + (8√16) • (x - (8√16))

So, our complete factorization gives us;

5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

5 0
3 years ago
Could someone help me asap? thx
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5060 and 20,240
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Step-by-step explanation:

o - odd number

e - even number

n + e =o, if n is odd...rule 1

n + e = e, if n is even...rule 2

n × o = o, if n is odd...rule 3

n × o = e, if n is even...rule 4

thus if 3n +6 = o,

then 3n must be odd, following rule 1

=> 3n = o, then n is an odd number, following rule 3

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