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-BARSIC- [3]
2 years ago
15

Could someone help me out?

Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

The equation of the line is y = -11x + 232

<h3>How to determine the equation?</h3>

The given parameters are:

Slope (m)= -11

Point (x1, y1) = (31, -109)

The linear equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -11(x - 31) - 109

Evaluate the product

y = -11x + 341 - 109

Evaluate the like terms

y = -11x + 232

Hence, the equation of the line is y = -11x + 232

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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What does quad mean in quadratic equestion ?
Dafna11 [192]

Answer:

Though it has a degree of two and quad means four(eg:x 2-2x-3)? The Latin prefix quadri - is used to indicate the number 4,for example:quadrilateral,quadrant,etc....Quad means 4 sided square or rectangle.

3 0
3 years ago
Read 2 more answers
Can someone please help??? WILL MARK BRAINLIEST
olya-2409 [2.1K]

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)


To find the slope, you can use the slope formula and plug in the two points:

(3,63) = (x₁ , y₁)

(5,107) = (x₂, y₂)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{107-63}{5-3}

m=\frac{44}{2}

m = 22


Now that you know m = 22, plug it into the equation:

y = mx + b

y = 22x + b

To find "b", plug in one of the points into the equation (I will do both points)

(3,63)

y = 22x + b

63 = 22(3) + b

63 = 66 + b    Subtract 66 on both sides

-3 = b


(5,107)

y = 22x + b

107 = 22(5) + b

107 = 110 + b    Subtract 110 on both sides

-3 = b


y = 22x - 3

8 0
3 years ago
Find the equation of a line with the given points. (Put your answers in the form y = mx + b.) (7, 3) (3, 7)
igor_vitrenko [27]
By "inspection" you can write the equation as
.. x + y = 10
Then
.. y = -x +10 . . . . . . . . the desired form

8 0
3 years ago
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
Solve by completing the square. Round<br> x^2-4x=5
Novosadov [1.4K]

Answer: -1 and 5.

Step-by-step explanation:

x - 4x = 5 : Move the constant to the left.

x^2 - 4x - 5 = 0 : Rewrite the expression.

x^2 + x - 5x - 5 = 0 : Factor the expressions.

x(x+1) - 5(x+1) = 0 : Factor the expression.

(x+1)(x-5) = 0 : Seperate into possible cases.

x + 1 = 0, x - 5 = 0 : Solve the equations.

x = -1, x = 5 : The equation has 2 solutions.

8 0
2 years ago
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