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2 years ago

Can you discuss the differences and similarities between dividing with whole numbers and decimals.

Mathematics

1 answer:

goldenfox [79]2 years ago

5 0

Answer:

Comparing a whole numbers and a decimals:

First let’s talk about the similarities of comparing whole numbers and decimals:

=> their place value always matters.

Now, let’s proceed to their differences

=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.

=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.

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A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

2 years ago

A clock is 17 minutes fast what is the correct time when it is showing 9:21 a.m.

docker41 [41]

Answer:

9:04

Step-by-step explanation:

21 - 17 = 4

it's using subtraction

3 0

2 years ago

Read 2 more answers

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. With

Mandarinka [93]

Answer:

In summation form $\sum_{n = 1} ^{5} 6(6)^{n - 1}$

Step-by-step explanation:

Within one hour, the first person gives a stack of flyers to six people and within the next hour, those six people give a stack of flyers to six new people.

So, in the first 5 hours, the summation of people that receive a stack of flyers not including the initial person will be given by

6 + (6 × 6) + (6 × 6 × 6) + (6 × 6 × 6 × 6) + (6 × 6 × 6 × 6 × 6).

So, in summation form $\sum_{n = 1} ^{5} 6(6)^{n - 1}$

Therefore, Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1, gives the correct solution. (Answer)

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2 years ago

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You deposit $500 in an account that pays 8% annual interest compounded yearly. What is the account balance after six years? Form

Diano4ka-milaya [45]

Principal, P = $500
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years

The value after 6 years is
$A = P(1 + \frac{r}{n} )^{nt}$
That is,
A = $500*(1 + 0.08)⁶ = $793.44

Answer: $793.44

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2 years ago

Solve for x in the equation x^2-8x+41=0?

Angelina_Jolie [31]

X = [-(-8) +/- sqrt((-8)^2 -4*41)] / 2

x = ( 8 + sqrt (-100) / 2 and (8 - sqrt(-100) / 2

4 +or- 5i

6 0

2 years ago