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2 years ago

1. Which of the following equations would NOT contain the point (4,12)?

Mathematics

1 answer:

vodka [1.7K]2 years ago

6 0

Answer:

the answer is b hope this helps :)

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Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

$nP_r=\frac{n!}{(n-r)!}$

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

$_nC_r=\frac{n!}{(n-r)!r!}$

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

If the order is not relevant, then the selection can be done in 56 ways.

3 0

3 months ago

Determine the intercepts of the line.<br> 8x-5y=-11

vodka [1.7K]

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

3 0

2 years ago

Read 2 more answers

Henry and his mom is making cupcakes for the PTA meeting the have to make 60 cupcakes but the PTA only needs 40 and it’s Henry b

Alex73 [517]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

All the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children, teach

user100 [1]

The answer must be a whole number because for example how are you suppose to fit half a child on a bus that can hold 44 people when it already holds that amount.

It will always be a whole number because if there are several left over students they will be put in another bus with more empty seats.

3 0

1 year ago

Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks.

sammy [17]

Answer:

Step-by-step explanation:

m = 5 + 10d

The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"

3 0

2 years ago