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AVprozaik [17]
3 years ago
9

What is the remainder when f(x) = x^4 -8x^2 + 10x + 22 is divided by x + 3

Mathematics
1 answer:
arsen [322]3 years ago
8 0
Here is the answer for the qns so f(x)=(x^3-3x^2+x+3)+(13)
Answer is 13

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Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the n
Goryan [66]
Set up a proportion.
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
8 0
3 years ago
A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side
Ket [755]

A) Choosing a <em>stratified random sample</em> might be preferable to an <em>SRS </em>because;

<em><u>Stratified random sampling would divide the population into stratas but the </u></em>

<em><u>SRS would not do so. The strata would be the type of room namely those </u></em>

<em><u>with water view and those with golf view.</u></em>

B) The reason why a cluster sample would be a simpler option is because;

<u><em>It will divide the population into multiple clusters that makes it easier to </em></u>

<u><em>work with unlike the SRS that generalizes. The clusters would be each of </em></u>

<u><em>the 30 floors.</em></u>

We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.

Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.

A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.

B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.

Read more at; brainly.com/question/15932504

7 0
3 years ago
Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commissi
natta225 [31]

Answer:

The total amount of money Bernadette earned in April was $6200

Step-by-step explanation:

Let us solve the question

∵ Each month Bernadette receives $2000

∵ She also receives a 5% commission for all of her sales

∴ She earns each month = 2000 + 5% of her sales

∵ In April, Bernadette sold $84,000 worth of used cars

→ Multiply it by 5% to find her commission

∴ Her commission = 5% × 84,000

→ Change 5% to decimal by divide it by 100

∵ 5% = 5 ÷ 100 = 0.05

∴ Her commission = 0.05 × 84,000

∴ Her commission = $4200

→ Add her commission to her fixed amount to find her salary in April

∵ She earned in April = 2000 + 4200

∴ She earned in April = 6200

∴ The total amount of money Bernadette earned in April was $6200

3 0
3 years ago
Read 2 more answers
What is the definition of intersection In math?
miskamm [114]

Answer:

Step-by-step explanation:

an intersection is a point, line, or curve common to two or more objects

6 0
3 years ago
Read 2 more answers
Does it matter what order you add the numbers in a problem? explain how chips and numbers lines support your answer.
Mrac [35]

Answer: No, it does not matter.

Step-by-step explanation:

In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A

and the associative property, that says that:

A + (B + C) = (A + B) + C

for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 =  9 chips.

The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.

Other example is that:

5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips

(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips

You can see that the order does not matter.

4 0
3 years ago
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