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2 years ago

Find the equation of the line given the slope and the y-intercept

Mathematics

1 answer:

GREYUIT [131]2 years ago

7 0

Answer:

y = $\frac{1}{2}x + 3$

Step-by-step explanation:

The equation for a linear graph is usually written in the following format...

y = mx + b

Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...

y = $\frac{1}{2}x + 3$

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Find the surface area of the regular pyramid<br> PLEASE HELP ASAP

Whitepunk [10]

Area = 1/2 base x height so you would find the area of one of the 3 larger sides which would be 12.2x6.1=74.42 then divide it by 2 which is 37.21. Then multiply it by 3 because of the other sides that are the same which gets you 111.63. Then you find the area of the bottom triangle by doing 5.3x6.1= 32.33 then divide it by 2 which is 16.165. Then you add both numbers together and you get 127.795. Answer is 127.795

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2 years ago

An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell

mixer [17]

Answer:

a) The sample mean is of 49 and the sample standard deviation is of 11.7.

b) The range of the true mean at 90% confidence level is of 9.62 hours.

c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Step-by-step explanation:

Question a:

Sample mean:

$\overline{x} = \frac{34+40+46+49+61+64}{6} = 49$

Sample standard deviation:

$s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7$

The sample mean is of 49 and the sample standard deviation is of 11.7.

b)Determine the range of the true mean at 90% confidence level.

We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 2.0.150

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample. So

$M = 2.0150\frac{11.7}{\sqrt{6}} = 9.62$

The range of the true mean at 90% confidence level is of 9.62 hours.

(c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time.

This is the confidence interval, so:

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.

The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.

The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

4 0

2 years ago

Given: line hg is the perpendicular bisector of segment JK. Which conclusion is valid?

Varvara68 [4.7K]

JG = GK
Angle JGH is a right angle
Angle HGK is a right angle assuming it is drawn like this (sorry i did my best to draw it):

H
l
l
l
l
J--------------l--------------K
G

6 0

3 years ago

Marisol paid $3.00 for 25 pound of sliced turkey meat. What was the price per pound of the turkey meat?

bekas [8.4K]

Answer:

[see explanation]

Step-by-step explanation:

We need to find the unit rate of the meat.

$\frac{dollars}{pound} =\frac{3}{25}=0.12$