All categories

3 years ago

I need help with adding and subtracting fractions

2 answers:

7 0

Answer is 3/72

multiply the denominator and numerator of 3/8 by 9 (27/72)
multiply the denominator and numerator of 3/9 by 8 (24/72)

this is to get the same denominator of 72

then just subtract
27/72 - 24/72 = 3/72

balu736 [363]3 years ago

4 0

Answer:
The result is 1/24

Explanation:
First step is to get the common denominator:
The common denominator here will be 8*9 = 72
Therefore:
3/8 = 27/72
3/9 = 24/72

Second step is to do the subtraction:
27/72 - 24/72 = (27-24) / 72 = 3/72

The last step is to simplify the result:
3/72 = 1/24

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

Use a commutative property to complete the statement 2x + 16

OLga [1]

Answer:

2(x+8)

Step-by-step explanation:

5 0

3 years ago

Help me.... this is do in 13 min

aivan3 [116]

Answer: