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Bogdan [553]
3 years ago
7

What is the quotient when 2x3 + x + 3 is divided by x + 1?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0
2x³ +x +3 = (2x² -2x +3)(x +1)

Then (2x³ +x +3)/(x +1) = 2x² -2x +3

_____
The picture shows the synthetic division.

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The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste
Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, n_1 = 46

Sample size of group 2, n_2 = 57

Number of Yes in group 1,  X_1 = 32

Number of Yes in group 2, X_2 = 47

Proportion of Yes in group 1:

\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957

Proportion of Yes in group 2:

\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246

Null Hypothesis, H_0: p_1 = p_2

Alternate Hypothesis,H_a: p_1 \neq p_2

\hat{p} = \frac{X_1 + X_2}{n_1 + n_2}  \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767

Significance level,

Calculate the test statistic

z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1}  + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0
2 years ago
What is the y intercept of a line that has a slope of -3 and passes through the point (2,7)
Tom [10]
Y = mx + b
slope(m) = -3
(2,7)...x = 7 and y = 2
now we sub and fund b, the y int
2 = -3(7) + b
2 = -21 + b
2 + 21 = b
23 = b <== ur y int
5 0
3 years ago
One number is four times another number. If their sum is 95, what are the numbers?
nikdorinn [45]
Let x be one number and y be the other.

#1 - Set up a system of equations.
4x = y
x + y = 45

#2 - Solve the system by substitution.
x + (4x) = 45
5x = 45
x = 9

(9) + y = 45
y = 36
8 0
3 years ago
Read 2 more answers
Which of the following statements are true?
bezimeni [28]

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube.   True

B. 16 is a perfect square.   True 4^{2}

C. 27 is a perfect cube.   True 3^{3}

OD. 1,331 is both a perfect square and a perfect cube.   False

E. 9 is a perfect cube.  False

6 0
3 years ago
The circumference of the yellow circle is about for 2.5
ikadub [295]
What are you asking to solve?
6 0
2 years ago
Read 2 more answers
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