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erastovalidia [21]
3 years ago
8

x = 4y - 2 x - 3y = 6 If you were going to solve this equation by substitution, what would your first step look like? A) x - 4y

- 2 = 6 B) 4y - 2 - 3y = 6 C) x - 12y - 6 = 6 D) x - 12y + 6 = 6
Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

B

Step-by-step explanation:

B

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The length of each side of a square is 3 inches more than the length of each side of a smaller square the sum of the areas of th
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A Statistics professor has observed that for several years students score an average of 106 points out of 150 on the semester ex
tekilochka [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 106

For the alternative hypothesis,

µ > 106

It is a right tailed test because of >.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 241,

Degrees of freedom, df = n - 1 = 241 - 1 = 240

t = (x - µ)/(s/√n)

Where

x = sample mean = 109

µ = population mean = 106

s = samples standard deviation = 8.3

a) test statistic, t = (109 - 106)/(8.3/√241) = 5.61

We would determine the p value using the t test calculator. It becomes

p = 0.00001

Since alpha, 0.05 > than the p value, 0.00001, then we would reject the null hypothesis. Therefore, At a 5% level of significance, this improvement seem to be practically​significant.

b) Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

n = number of samples

From the information given, the population standard deviation is unknown, hence, we would use the t distribution to find the z score

df = 240

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 1.6512

Margin of error = 1.6512 × 8.3/√241

= 0.88

Confidence interval = 109 ± 0.88

7 0
3 years ago
Please tell explain what the right answer is
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Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.

To find angle 4 subtract angle 3 from 180.

Angle 4 = 180 - 101 = 79 degrees.

5 0
3 years ago
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All of the middle school mathletes solve math problems at the same pace. Working together, six mathletes complete all of the sum
guapka [62]

Answer:

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Step-by-step explanation:

by a factor of 5 means times 4

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3 years ago
The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
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Answer:

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