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3 years ago

16/8 would be classified as a/an? A:whole number B:integer C:Rational Number

Mathematics

1 answer:

gregori [183]3 years ago

8 0

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

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Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

What the square root of 900 show work plz

Burka [1]

Its 30 because 30×30=900

3 0

3 years ago

Read 2 more answers

Dave delivered 52 newspapers all together on Saturday and Sunday. He delivered 8 more newspapers on Sunday than on Saturday. How

Harman [31]

Let x=papers on Saturday and y=papers on Sunday

First make equations for the information given to you

x+y=52 (total papers) and y= x+8 (he sold 8 more on Sunday)

then since you know y=x+8 then substitute it in the other equation like so

x+(x+8)=52 which means 2x+8=52 which means 2x=44 and therefore x=22

the problem however asks for sunday and not saturday, so solve for y now

y=x+8 which means y=22+8 which means y=30

He sold 30 papers on Sunday

4 0

3 years ago

If x=2 and y=3. What is x*y/xy+x*y

Lunna [17]

Answer

its uhhhhh i dont know

Step-by-step explanation:

3 0

2 years ago

What’s the answer???? I’ll mark brainliest

wlad13 [49]

Answer:

Step-by-step explanation:

3 bears = 3

1 bear = 3 ÷ 3

1 bear = 1

2 glasses + 1 bear = 5

2 glasses + 1 = 5

2 glasses = 5 - 1

= 4

1 glasses = 4 ÷ 2

1 glasses = 2

1 Cyxus + 1 bear + 1 Cyxus + 1 glasses = 9

2 Cyxus + 1 + 2 = 9

2 Cyxus = 9 - 1 - 2

= 6

1 Cyxus = 6 ÷ 2

1 Cyxus = 3

1 glasses + 1 bear + 1 glasses + 1 Cyxus - 1 bear - 1 glasses = ?

2 + 1 + 2 + 3 - 1 - 2 = 5

5 0

3 years ago