Write an equation and solve.

Ket [755]

6.1/-2 is equal to -3.05

7 0

4 years ago

20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is

marin [14]

Answer:

18550 - 10x

Step-by-step explanation:

Given that :

Cost of admission in Advance = $25

Cost of admission at the door = $35

Number of people who paid in advance = x

Total number of tickets sold = 530

Total amount made from ticket sales will be :

(Number who paid in advance * cost) + (number who paid at the door * cost)

(25 * x) + (530 - x) * 35

25x + 18550 - 35x

18550 - 10x

6 0

3 years ago

A. Find the slope of the line that passes through these points.

Alja [10]

slope formula : $\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}$

a. coordinates : (3,12) and (4,16)

$\sf \rightarrow \dfrac{16-12}{4-3}$

$\sf \rightarrow \dfrac{4}{1}$

$\sf \rightarrow 4$

b. coordinates : (1,4) and (3,12)

$\sf \rightarrow \dfrac{12-4}{3-1}$

$\sf \rightarrow \dfrac{8}{2}$

$\sf \rightarrow 4$

⇒ A. Yes. Both slopes are equal to 4

3 0

2 years ago

Use the table to answer the question.

Vesna [10]

Given:

The table of values of a linear relationship.

x y

-1 -1

0 1

1 3

2 5

To find:

The equation for the given table of values.

Solution:

If a linear function passes through the two points, then the equation of the linear relationship is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Consider any two point from the given table. Let the two points are (-1,-1) and (0,1). So, the equation of the linear relationship is

$y-(-1)=\dfrac{1-(-1)}{0-(-1)}(x-(-1))$

$y+1=\dfrac{1+1}{0+1}(x+1)$

$y+1=\dfrac{2}{1}(x+1)$

$y+1=2(x+1)$

Using distributive property, we get

$y+1=2(x)+2(1)$

$y+1=2x+2$

Subtracting 1 from both sides, we get

$y+1-1=2x+2-1$

$y=2x+1$

Therefore, the required equation is $y=2x+1$ . Hence, the correct option is D.

5 0

3 years ago

Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

6 0

3 years ago