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Elenna [48]
3 years ago
11

Write the equation of the line that passes through (2,4) and has a slope of -1 in point-slope from

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0
The answer is D 
Following the point - slope form : y - y1 = m ( x - x1 ) 
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A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data
Rasek [7]

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\overline{x}=\frac{\Sigma x}{n}

\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}

\overline{x}= 2.08

Now, we estimate standard deviation:

s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }

s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }

s = 0.1564

For t-score, we need to determine degree of freedom and \frac{\alpha}{2}:

df = 12 - 1

df = 11

\alpha = 1 - 0.95

α = 0.05

\frac{\alpha}{2}= 0.025

Then, t-score is

t_{11,0.025} = 2.201

The interval will be

\overline{x} ± t.\frac{s}{\sqrt{n} }

2.08 ± 2.201\frac{0.1564}{\sqrt{12} }

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0
3 years ago
PLSSS HELP!! For the given ordered pairs, write a function rule relating x and y. (1,4), (2,9), (3,16), (4,25)​
LenKa [72]

Answer:

y=(x+1)^2

Step-by-step explanation:

we have the following

x=1;y=4\\\\x=2;y=9\\\\x=3;y=16\\\\x=4;y=25

the values of y are squares so we can write

x=1;y=2^{2} \\\\x=2;y=3^2\\\\x=3;y=4^2\\\\x=4;y=5^2

so as you can see when

x=n;y=(n+1)^2

so our relation is

y=(x+1)^2

3 0
3 years ago
If p-1 is a factor of p^4+p^2+p-k,the value of k is ?
hoa [83]

1^4+1^2+1-k=0\\3-k=0\\k=3

3 0
3 years ago
Read 2 more answers
Order from least to greatest: The square root of 64, 8.8, 26/3, 8 2/7
Eddi Din [679]

Square root 64 = 8

26/3 = 8 2/3 = 8.66666

8 2/7 = 8. 2857

So the order is sqrt(64) 8 2/7 26/3 8.8 <<<<< Answer

7 0
2 years ago
At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 mL of blood per beat. Blood has a densi
Kaylis [27]

Answer:

There is approximately 5.475 liters of blood in the body.

Step-by-step explanation:

At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 ml of blood per beat.

73 ml in liters = 73\times0.001=0.073 liters

Now, 75 beats/min x  0.073 liters/beat  = 5.475 liters/min

And 5.475 liters/min x 1 min/body = 5.475 liters/body

Hence, there is approximately 5.475 liters of blood in the body.

7 0
3 years ago
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