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3 years ago

Find the value of (a)6 (6×5÷3-2) (b) (4÷3)- 3+4

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

This required PEMDAS

a. 6(30/3 -2) = 6(8) = 48

b. (4/3) - 7 = (4/3 - 21/3) = -17/3

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

3 years ago

Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 8 adult smartphone use

vovikov84 [41]

Answer:

≈ 0.2526

Step-by-step explanation:

The number of combinations of 4 out of 8:

8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

Success factor is:

57% = 0.57

and failure factor is:

(100 - 57)%= 43%= 0.43

Probability:

0.57⁴*0.43⁴*70 ≈ 0.2526

6 0

3 years ago

Someone help plz

Lilit [14]

Hope this helps !!!!

7 0

3 years ago

A sum of rs 400 is lent for 3 yrs at the rate of 6% per annum. Find the interest.

Nimfa-mama [501]

Interest is equal to rs 72

Simple Interest is computed by multiplying the principal to the interest rate and the time.

I = P * r * t

Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs

I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.

3 0

3 years ago

Help pls ..........

Wittaler [7]

Answer:

112

Step-by-step explanation:

8 0

2 years ago

Find the value of (a)6 (6×5÷3-2) (b) (4÷3)- 3+4​

Find the value of (a)6 (6×5÷3-2) (b) (4÷3)- 3+4