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3 years ago

Solve for r in terms of q, s, t and u. St= -ruq

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

hope this helps

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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

Arrange the following set of decimal numbers in order from smallest to largest.

Setler [38]

Answer:

Step-by-step explanation:

0.31=0.3100

0.409=0.4090

0.414=0.4140

0.4186

arranging smallest to largest

0.3100,0.4090,0.4140,0.4186

or 0.31,0.409,0.414,0.4186

6 0

3 years ago

Task: Multiplying and Dividing Expressions

koban [17]

Najsjsiskekasizjnsdkdkdkx

3 0

3 years ago

How 2 do?<br><br> (n)(n+7)(n+8)

madreJ [45]

Answer:

$n^{3} + 15n^{2} + 56n$

Step-by-step explanation:

First FOIL (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = $n^{2} +15n + 56$

n ( $n^{2} +15n + 56$ )

= $n^{3} + 15n^{2} + 56n$

6 0

3 years ago

5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Te

andrezito [222]

Translation:
5. A submarine is 420.5 m below sea level. The submarine dived 185.6 m deep and then climbed 200.9 m. Determine the new position of the submarine based on sea level.

4 0

3 years ago