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serious [3.7K]
2 years ago
12

Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1    x2 - x1

 

y - 5  = 13 - 5 = 8/2 = 4 x - 2     4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

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Step-by-step explanation:

half of twenty is ten.

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Answer:

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Step-by-step explanation:

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2 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccup
Mkey [24]

The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.

<h3>How to find the confidence interval?</h3>

To find the confidence interval C.I,

  • Determine the mean(μ) of the sample
  • Determine the standard deviation(σ)
  • Determine the z-score for the given confidence level using the z-score table
  • Using all these, the confidence interval is calculated by the formula,  C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.

<h3>Calculation:</h3>

It is given that,

Sample size n = 225

Sample mean μ = 11.6

Standard deviation σ = 4.1

Since 95% confidence interval, z-score is 1.96

So, the required confidence interval is calculated by,

C. I = μ ± z(σ/√n) or mean ± margin error

On substituting,

C. I = 11.6 ± 1.96(4.1/√225)

     = 11.6 ± 1.96 × 0.2733

     = 11.6 ± 0.5357

So, the lower bound = 11.6 - 0.5357 = 11.065 and

the upper bound = 11.6 + 0.5357 = 12.135.

Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.

Learn more about confidence intervals here:

brainly.com/question/16236451

#SPJ4

3 0
1 year ago
<img src="https://tex.z-dn.net/?f=5%20%2B1" id="TexFormula1" title="5 +1" alt="5 +1" align="absmiddle" class="latex-formula"> x
soldi70 [24.7K]

Answer:

60

Step-by-step explanation:

Put in Parentheses.

(5 + 1) x 10 =

Solve numbers inside parentheses.

5 + 1 = 6

Now we have 6 x 10.

6 x 10 = 60

8 0
2 years ago
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