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mestny [16]
3 years ago
10

1. What operation is being used in the equation? x + 15 = 22

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0
Property of addition I think
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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
a scout meeting lasts 2 hours. if 36 minutes was spent on making dream catchers, what percentage of the meeting is left
Llana [10]

Answer:

70% of the meeting is left.

Step-by-step explanation:

Hi, to answer this question, first, we have to convert the hours to minutes.

Since 1 hour = 60 minutes

For 2 hours:

1 /60 = 2/x

x = 2 (60)

x = 120 minutes

So, a scout meeting last 120 minutes (2 hours)

36 minutes already spent.

120-36 = 84 minutes left

So, if 120 is the 100% of the meeting, for 84 minutes:

120/100 = 84/x

1.2 =84/x

x = 84/1.2

x = 70%

70% of the meeting is left.

8 0
3 years ago
What is the equation of the line that passes through point (1, 1) and is
kaheart [24]

Answer:

Step-by-step explanation:

-y = -2x + 3

y = 2x - 3

y - 1 = 2(x - 1)

y - 1 = 2x - 2

y = 2x - 1

answer is B

8 0
3 years ago
*Will mark Brainliest (10 points)*<br><br> Please explain, thanks!
MAVERICK [17]
Standard form Ax + By = C
so
<span>(y - y1) = m(x - x1)
</span>given (5, -7) and m = -1/5
so
y + 7 = -1/5(x - 5)
-5y - 35 = x - 5
x + 5y = -30

answer
d. x + 5y = -30
5 0
3 years ago
If 3x = -36 then x = ?
Vanyuwa [196]

3x=-36|:3\\x=-12

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

3 0
3 years ago
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