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Mila [183]
3 years ago
9

3

Mathematics
1 answer:
Otrada [13]3 years ago
3 0
When 2 lines are parallel to each other mean than they have same gradient
y=5x +2
Gradient=5

Let the parallel equation be y=5x +c
Since this equation pass through (4,7), means that the point satisfy the parallel equation
7=5(4)+c
C=7-20=-13
So the parallel equation required is y=5x-13

Hope this can help.
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How many members of the U.S. House of Representatives are supporting at least one of the two laws being debated?
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Solve each equation. Check your answer<br>r/238=8
ozzi
You have to get r by itself on one side. Multiply both sides by 238 to cancel it out of the denominator on the left side.

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Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

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Johnny has 4 cups of hot cocoa the instructions tell him to add 1 pint of water for every 2 pints of cordial how much water shou
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Answer:

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Step-by-step explanation:

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