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SOVA2 [1]
3 years ago
6

Is ABC= A DEF? If so, name the congruence postulate that applies.

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

B. Congruent - SSS

Step-by-step explanation:

Given, all 3 corresponding sides are congruent.

So, it is SSS postulate (Side, Side, Side postulate)

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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
puteri [66]

Answer:

a) σ_95% = [ ± 0.09934 ]

b) Increase the number of samples taken from each clinic and find their average over course of months for the entire year.

Step-by-step explanation:

Solution:-

- The data from the health provider for the number of CAT scans performed in a month in its clinics.

- The reported variable "X" : number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan.

- The statistical results were obtained as follows:

           2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97,2.02

- We see that a samples were taken from n = 12 clinics were taken. The sample mean ( x_bar ) can be calculated from the following descriptive stats formula:

                           

               x_b_a_r = \frac{Sum ( x_i )}{n}\\\\x_b_a_r=\frac{2.31+2.09+2.36+1.95+1.98+2.25+2.16+2.07+1.88+1.94+1.97+2.02}{12}\\\\x_b_a_r=\frac{24.98}{12}\\\\x_b_a_r=2.0817\\        

- Similarly, we will compute the sample standard deviation ( s ) ( Normally distributed population ) for unknown population standard deviation ( σ ), the following formula is used:

    s = \sqrt{\frac{Sum (x_i - x_b_a_r)^2}{n-1} } \\\\Sum (x_i - x_b_a_r)^2 = (2.31 - 2.0817)^2 + (2.09 - 2.0817)^2 + (2.36 - 2.0817)^2 + (1.95 -\\\\2.0817)^2 + (1.98 - 2.0817)^2+ (2.25 - 2.0817)^2+ (2.16 - 2.0817)^2 + (2.07 - 2.0817)^2\\\\(1.88 - 2.0817)^2  + (1.94 - 2.0817)^2 + (1.97 - 2.0817)^2 + (2.02 - 2.0817)^2\\\\= 0.26896668\\\\\\s = \sqrt{\frac{0.26896668}{12-1} } = 0.15636      

- We have two parameters ( x_bar and s ) for the approximated normal distribution of random variable X with unknown population:

                       x_bar = 2.0817

                       s = 0.15636

- The sample size n = 12 ≤ 30 and unknown population standard deviation standard normal distribution is not applicable. In such case we use t-distributions for test statistics and rejection criteria.

                       degree of freedom = n - 1 = 12 - 1 = 11

                       CI (two sided ) = 95%

                       Significance Level (α) = 1 - CI = 1-0.95 = 0.05

- To determine the t-critical value defined by the significance level of two sided test we have:

                      t-critical = t_α/2 = t _ 0.025

                      t-critical =  t _ 0.025 = ±2.201

- We will now construct a 95% confidence interval for the population standard deviation ( σ ).

                      σ_95% = [ -t-critical * ( s / √n ) , t-critical * ( s / √n ) ]

                      σ_95% = [ -2.201 * ( 0.15636 / √12 ) , 2.201 * ( 0.15636 / √12 ) ]  

                      σ_95% = [ ± 0.09934 ]                      

- To address any reservation to the standard error in standard deviation can be curtailed by increasing the sample size ( n ) at-least enough for the distribution "X" to assume standard normality. n ≥ 30

4 0
3 years ago
Two numbers are said to be 'relatively prime' if their greatest common factor is 1. How many integers greater than 10 and less t
mars1129 [50]

Answer:

d. 9 integers

Step-by-step explanation:

Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.

We are to find relatively prime with 28 which are greater than 10 and less than 30

We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30

To be relatively prime with 28, common factors should be only 1.

28 = 2x2x 7.  Hence the numbers which do not have factors as 2 or 7 will be relatively prime.  Remove all the even numbers from the list.

We have 11,13,15....29.

Of these 21 is the multiple of 7 so remove that.

Thus we have now 11,13,15,17,19,23,25,27,29

9 integers

d. 9 integers

3 0
3 years ago
Someone please help me PLEASE. <br> With explanations.
Nadusha1986 [10]

Answer:

hlo

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navneet175285

Step-by-step explanation:

njkmmnu

3 0
3 years ago
How can jump consumers avoid bounced check fees?
never [62]
When you write a check for an amount you don't have in the bank.
6 0
3 years ago
Read 2 more answers
Which box is greater,a 1.5 lb box of raisins or a 650 gram box of raisins
ladessa [460]

First you would have to either make everything pounds or everything grams. If you chance everything into grams it would be about 680, so the 1.5 pound box of raisens would be more. 
4 0
3 years ago
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