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3 years ago

Why is 1.71x10^7 written in standard form

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:5.00 + .60 + .07 that is your answer

Step-by-step explanation:

You might be interested in

A fraction in hundredths equal to 7/10 is?

qaws [65]

The answer is 70/100ths i am pretty sure

5 0

3 years ago

A system has a continuous load requirement of 80 MW. Find the expected load loss and the probability of load loss (loss of load

MariettaO [177]

Answer:

Expected load loss = 1.35

P (Load Loss) = 0.127

Step-by-step explanation:

The probability of failure is: q = 0.015

The probability of success is: p = 1 - q = 1 - 0.015 = 0.985

The number of units the generation system is composed of is, n = 9.

The capacity of each unit is 10 MW.

Let X = number of units that failed or are unavailable.

The random variable X follows a Binomial distribution with parameters n and q.

The probability function is:

$P (X=x)={n\choose x}p^{x}(1-p)^{n-x}$ ; x =0, 1, 2, 3...

The expected number of failures is:

$E(X)=nq=9\times0.015=0.135$

Then the expected load loss is:

$E (Load\ Loss)=10\times E(X)=10\times 0.135=1.35$

Thus, the expected load loss is 1.35.

The load loss will be when at least one unit fails.

The probability that at least one unit fails is:

P (X ≥ 1) = 1 - P (X < 1) = 1 - P (X = 0)

$=1-[{9\choose 0}(0.015)^{0}(1-0.015)^{9-0}]\\=1-0.8728\\=0.12718\\\approx0.127$

Thus, the probability of load loss is 0.127.

5 0

3 years ago

Ralph sold brownies for $0.27 a piece in order to earn money to buy baseball cards. If the cards cost $0.54 per pack, and if

qwelly [4]

Ha must have sold at least 2 pieces of brownies.

8 0

3 years ago

Read 2 more answers

The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o

saul85 [17]

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

6 0

4 years ago

How much is 3/5 of 31/8 ?

Otrada [13]

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

5 0

3 years ago