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lukranit [14]
2 years ago
5

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. mc001-1.jpg Divisor: –3 3 x – 3 x

+ 3 Dividend: 2x3 + 11x2 + 18x + 9 -6x3 - 15x - 9 2x2 + 5x + 3 Quotient: 2x4 + 11x3 + 18x + 9 2x3 + 5x2 + 3x 2x2 + 5x + 3

Mathematics
2 answers:
baherus [9]2 years ago
5 0

In division, the dividend is divided by the divisor to get a quotient .

The expression which has been divided by the synthetic division can be written as :2x^{3}+11x^{2}+18x+9.

It has been divided by  x=-3 that is x+3 is a factor.

The polynomial after the division is :2x^{2}+5x+3.

The divisor is x-3.

The  Dividend is 2x^{3}+11x^{2}+18x+9.

The Quotient is 2x^{2}+5x+3.

love history [14]2 years ago
3 0
The correct answer is x+3.
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Answer: Find explanations below.

Step-by-step explanation:

1. A career as a Data Scientist would require data analysis skills.

2. The Data Scientist computes and analyzes large amounts of data from different sources and then makes useful interpretations with it. He needs skills In Statistics, Calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3. The median value is used when the data set contains values that repeat regularly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

4. The dot plot is a simple scale representation of data values using dots to highlight the frequency of occurrences. I would use a dot plot to analyze quantitative data (like percentages, and decimals), and univariate data ( like mean, median, and mode).

The box plot analyzes a group of data in graphic styles. I would use it to determine the interquartile range, maximum, minimum, and median values. I would also use it to identify outliers.

5. Dot plot Strengths:

a. It is easy to plot the dots.

b. It is easy to interpret the data.

c. It shows the connection between the two data sets.

Dot Plot Weaknesses:

a. It shows the similarities between only two sequences.

b. The changes that occur between the data set cannot be easily detected.

c. It is time-consuming.

Box Plot Strengths:

a. Outliers are detected.

b. Indicates the 5-point summary.

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Box Plot Weaknesses:

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4 0
2 years ago
A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 gra
Jlenok [28]

Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

Hypothesis Test                       Fiber

Sample Mean                          2.62

Sample St. Dev                       3.492

Degrees of Freedom              24

t- test statistic                         0.1718

p- value                                    0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

Since the calculated t=   0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not  less than 2.5 grams.T

6 0
2 years ago
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours w
Novosadov [1.4K]

Answer:

<u>42 Hours.</u>

Step-by-step explanation:

As an equation where y is the total pages and x is hours of class:

y=1+1x since she started with 1 page and does 1 page per hour.

Setting the total pages she needs as 43 (y=43) we get:

43=1+1x

Subtract one on both sides

42=1x

The 1 doesn't need to be written so

x=42

Therefore, it'll take her 42 hours to write all those notes.

4 0
2 years ago
A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

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Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

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2 years ago
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Nataly_w [17]

Hey there! Welcome to Brainly!

Let's see how many marbles we have in total.

12+11+17+5=45

We want to find the probability of selecting a marble that is not blue. Let's see how many marbles aren't blue.

12+11+5=28

We have this probability out of 48.

28/48

We simplify, giving us 7/12 or about 58.33%.

I hope this helps!

7 0
2 years ago
Read 2 more answers
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