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3 years ago

Are the ratios 8:16 and 2:4 equivalent? need answers quick!

Mathematics

2 answers:

amm18123 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

8:16 has the common number of 4.

it becomes 2:4 OR 1:2

drek231 [11]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

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Choose all true statements All real numbers are rational numbers. Some rational numbers are natural numbers. No real numbers are

antoniya [11.8K]

Answer:

The answer is: All whole numbers are integers, No rational numbers are integers, and No real numbers are irrational numbers.

Step-by-step explanation:

3 0

3 years ago

Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive wit

romanna [79]

Answer:

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it works, or it does not. The probability of a disk working is independent of any other disk, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that there is a 8% rate of disk drive failure in a year.

So 100 - 8 = 92% probability of working, which means that $p = 0.92$

Two disks are used:

This means that $n = 2$

What is the probability that during a year, you can avoid catastrophe with at least one working drive?

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.92)^{0}.(0.08)^{2} = 0.0064$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0064 = 0.9936$

0.9936 = 99.36% probability that during a year, you can avoid catastrophe with at least one working drive

8 0

3 years ago

Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Las

maksim [4K]

Well, those 5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (do a division, 315/35=9).

7 0

3 years ago

Read 2 more answers

Problem 3 A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is depo

omeli [17]

Answer:

12 months

Step-by-step explanation:

85-7.50x

At 11 months, the charges will add up to $82.50, so you know what after 12 months the account will be in the negative. At 12 months, the charges will be at $90, which means the account will have a balance of -$5

8 0

4 years ago

A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2, what are the base and height o

Sliva [168]

Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

7 0

3 years ago