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Setler [38]
3 years ago
10

How do I write 9x-7y=-7 in slope intercept form?

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0
The slope-intercept form: y= mx + b

9x - 7y = -7    |subtract 9x from both sides

-7y = -9x - 7    |divide both sides by (-7)

y = 9/7x + 1
taurus [48]3 years ago
8 0
9x-7y=-7
Rewriting it in the form y=mx+c
7y=9x+7
y=\frac{9}{7} x+1
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A research program used a representative random sample of men and women to gauge the size of the personal network of older adult
My name is Ann [436]

Answer:

a. \mu=\bar x =14.6

b. The 95% CI for the population mean is (14.22, 14.98).

c. B. "The statement is incorrect. A correct statement would be​"One can be​ 95% confident that the true mean number of people named per person will fall in the interval computed in part b"

d. D. It does not impact the validity of the interpretation because the sampling space of the sample mean is approximately normal according to the Central Limit Theorem.

Step-by-step explanation:

a) The sample mean provides a point estimation of the population mean.

In this case, the estimation of the mean is:

\mu=\bar x =14.6

b) With the information of the sample we can estimate the

As the sample size n=2824 is big enough, we can aproximate the t-statistic with a z-statistic.

For a 95% CI, the z-value is z=1.96.

The sample standard deviation is s=10.3.

The margin of error of the confidence is then calculated as:

E=z\cdot s/\sqrt{n}=1.96*10.3/\sqrt{2824}=20.188/53.141=0.38

The lower and upper limits of the CI are:

LL=\bar x-z\cdot s/\sqrt{n}=14.6-0.38=14.22\\\\UL=\bar x+z\cdot s/\sqrt{n}=14.6+0.38=14.98

The 95% CI for the population mean is (14.22, 14.98).

c. "95% of the​ time, the true mean number of people named per person will fall in the interval computed in part b"

The right answer is:

B. "The statement is incorrect. A correct statement would be​"One can be​ 95% confident that the true mean number of people named per person will fall in the interval computed in part b"

The confidence interval gives bounds within there is certain degree of confidence that the true population mean will fall within.

It does not infer nothing about the sample means or the sampling distribution. It only takes information from a sample to estimate a interval for the population mean with certain degree of confidence.

d. It is unlikely that the personal network sizes of adults are normally distributed. In​ fact, it is likely that the distribution is highly skewed. If​ so, what​ impact, if​ any, does this have on the validity of inferences derived from the confidence​ interval?

The answer is:

D. It does not impact the validity of the interpretation because the sampling space of the sample mean is approximately normal according to the Central Limit Theorem.

The reliability of a confidence interval depends more on the sample size, not on the distribution of the population. As the sample size increases, the absolute value of the skewness and kurtosis of the sampling distribution decreases. This sample size relationship is expressed in the central limit theorem.

4 0
3 years ago
Write the equation of each line in slope-intercept form.<br> (If possible please show work)
Alik [6]

Answer:

y = 5x - 4

Step-by-step explanation:

Step 1: Write known variables

m = 5

y = 5x + b

Step 2: Find <em>b</em>

6 = 5(2) + b

6 = 10 + b

b = -4

Step 3: Rewrite equation

y = 5x - 4

7 0
3 years ago
A home is purchased for $60,000 in 2001 and sold for $225,000 in 2021. Plot this on a graph. Then draw 2 lines, 1 mapping a line
astraxan [27]

Answer:

a. 3.6

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The average rate of change is found when 60k = 2  and 225k = 7.5 is increasing and years shown 2001 to 2021 are shown on x axis.

=  20 years

Therefore linear shows 2 when x = 1 then shows 7.5 when x = 20

20/7.5 = 2.6

Therefore, this relationship is linear because each yyy-value is 7.5/20 more than the value before it. The x value goes up by 1 each value of 0.37 for y

When the value is exponential the y value should go up by 1 and as it is 30,000 each 1 value and x =1 goes up 2 2/3 = 2.6667 for every 30.000k to every x value.

A. 2 -2 2/3  = 2.31555.. average rate of change.for exponential  and between 3.5 and 3.7 = 3.6 average rate of change for linear.

B linear

C 2008 = 8 YEARS 8/20 X 2 = 0.8

0.8 X 2  2/3= 2.13333333 is the app value of the linear model 2008.

6 0
3 years ago
mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the
postnew [5]

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

7 0
3 years ago
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viva [34]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
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