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RSB [31]
3 years ago
14

What is the y-intercept for 10x+4y=20

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

5

Step-by-step explanation:

Hi,

find the x- and y-intercepts:

10x + 4y = 20

finding x-intercept when y = 0

 

10x = 20  

x = 2  Pt(2,0) the x intercept

finding y-intercept when x = 0

4y = 20

y = 5  Pt(0,5) the y intercept

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You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confide
FrozenT [24]

Question:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of ​$114.00. Assume the population standard deviation is ​$15.30. Construct a​ 90% confidence interval for the population mean.

Answer:

At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516

At the 95% confidence level, confidence interval = 109.53 < μ < 118.48

The 95% confidence interval is wider

Step-by-step explanation:

Here, we have

Sample size, n = 45

Sample mean, \bar x = $114.00

Population standard deviation, σ = $15.30

The formula for Confidence Interval, CI is given by the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where, z is found for the 90% confidence level as ±1.645

Plugging in the values, we have;

CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}

or CI: 110.2484 < μ < 117.7516

At 95% confidence level, we have our z value given as z = ±1.96

From which we have CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}

Hence CI: 109.53 < μ < 118.48

To find the wider interval, we subtract their minimum from the maximum as follows;

90% Confidence level: 117.7516 - 110.2484 = 7.5

95% Confidence level: 118.47503 - 109.5297 = 8.94

Therefore, the 95% confidence interval is wider.

8 0
3 years ago
Read 2 more answers
Please help!!!! i will give brainliest
FromTheMoon [43]

Answer:

The volume of a cylinder:

V \approx 150.796 ft^3

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

V = \pi r^2h

-Use the given height and radius for the formula:

V = \pi 4^2 3

-Then, solve the formula:

V = \pi \times 4^2 \times 3

V = \pi \times 16 \times 3

V = \pi \times 48

V = 48\pi \approx 150.796

So, the volume of a cylinder is approximately 150.796 ft^3 .

7 0
3 years ago
DESCRIBE
Vanyuwa [196]

Answer:

It represents the height between Hank and Tim on the Mountain/ Or how much higher is Tim than Hank.

Step-by-step explanation:

Since Tim is higher than Hank on the Mountain, and he is on 33 above, and Hank is 126 feet below, this represents the height between Hank and Tim on the Mountain.

8 0
2 years ago
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Determine the slope on the graph
sergeinik [125]

Answer:

3

Step-by-step explanation:

look at where the points at

8 0
3 years ago
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the perez family has a rectangle fish tank. How much water will the tank hold if its length is 3 feet, its width is 2 feet, and
myrzilka [38]

V = 3 x 2 x 3 = 18

answer

B) 18 cubic feet

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