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Otrada [13]
2 years ago
9

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1

4 D. 4​

Mathematics
2 answers:
alisha [4.7K]2 years ago
7 0

Answer:

-4

Step-by-step explanation:

If the lines are parallel, the have the same slope

If the green line has a slope of -4, then the red line has a slope of -4

Kobotan [32]2 years ago
6 0

Answer:

-4

Step-by-step explanation:

Parallel lines have the same slope

-4

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A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point
tatuchka [14]

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = \frac{Sum total    of scores}{Number of students}

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = \frac{Sum total}{20 students}

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= \frac{1020}{20} = 51.

∴ The new mean of the scores is = 51

8 0
3 years ago
Which expression should you simplify to find the 90% confidence interval,
bogdanovich [222]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025.

And the critical value is:z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

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3 years ago
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Zolol [24]

Answer:

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Step-by-step explanation:

To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.

\frac{2}{3} *\frac{3}{4}=\frac{6}{12}=\frac{1}{2}

Our final answer is 1/2 or 0.5.

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Answer:


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6 0
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