2x-3y=-1 <br> Substitute and solve for x

Calculate the volume of a cylinder with radius 7 cm and height 10 cm [Take π = 22/7

wlad13 [49]

Answer:

The volume of the cylinder would be 1539.38

7 0

3 years ago

A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 434 likely voters, 202

EleoNora [17]

Answer: 0.418 < p < 0.512

Step-by-step explanation: A 95% conifdence interval for a population proportion is given by:

$p + z\sqrt{\frac{p(1-p)}{n} }$

where:

p is the proportion

z is score in z-table

n is sample size

The proportion for people who said "yes" is

$p=\frac{202}{434}$ = 0.465

For a 95% confidence interval, z = 1.96.

Calculating

$0.465 + 1.96*\sqrt{\frac{0.465(0.535)}{434} }$

$0.465 + 1.96*\sqrt{0.00057}$

0.465 ± 1.96*0.024

0.465 ± 0.047

Interval is between:

0.465 - 0.047 = 0.418

0.465 + 0.047 = 0.512

<u>The interval with 95% of confidence is between 0.418 and 0.512.</u>

4 0

3 years ago

One angle of a triangle measures 140°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?

djyliett [7]

STEP 1:
Triangles= 180°

Other Angles= 7:13= 7x + 13x

Add all the angles to equal 180°

140° + 7x + 13x= 180°
combine like terms

140° + 20x= 180°
subtract 140 from both sides

20x= 40
divide both sides by 20

x= 2

STEP 2:
substitute x value to find other two angles

7x= 7(2)= 14° one angle

13x= 13(2)= 26° other angle

CHECK:
140° + 14° + 26°= 180°
140 + 40= 180
180= 180

ANSWER: The other two angles measure 14° and 26°.

Hope this helps! :)

7 0

4 years ago

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Maslowich

Answer:

1. $\frac{24-79}{12-2}$

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.

$x_1=2$

$x_2=12$

$y_1=79$

$y_2=24$

$\text{Slope}=\frac{24-79}{12-2}$

Therefore, the expression $\text{Slope}=\frac{24-79}{12-2}$ can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

7 0

3 years ago

Read 2 more answers

-5 +8 + (9) =<br> What is the answer for the following equestion

AlexFokin [52]

Answer:

12

Step-by-step explanation:

So we use PEMDAS:

-5 + 8 = 3

3 + 9 = 12

4 0