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sleet_krkn [62]
3 years ago
14

A set of points forming a closed figure, every point of which is a fixed distance from a given center best defines which shape?

* Rectangle Square Rhombus Circle
Mathematics
1 answer:
Sauron [17]3 years ago
5 0
<h3>Answer: D. Circle</h3>

Every point on the circle is the same distance away from the center. The distance from any point to the center is exactly the radius, and twice that is the diameter.

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What are the steps to solve for x?<br><br> x+ax=b
melisa1 [442]

Answer:

\displaystyle x = \frac{b}{1 + a}

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle x + ax = b

<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Factor:                                                                                                           \displaystyle x(1 + a) = b
  2. [Division Property of Equality] Divide 1 + a on both sides:                        \displaystyle x = \frac{b}{1 + a}
6 0
2 years ago
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
How to round 7,298,341 to the nearest 10,000
yuradex [85]
You first look at the 10,000 places, in this number, the tens place is 90,000. Which is the 9. So you look at the thousands place and check of its 5 or more which means you have to change number or if its 4 or less than leave it. And the thousands place is 8,000 so the 9 has to become greater. So for my thinking, its 7,308,341. My best try
3 0
3 years ago
A golf player is trying to make a hole-in-one on the miniature golf green shown.
Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

Substitute (x_1,y_1) = (2,1.6) for x and y

1.6 = a|2 - 4.8| + 6.4

1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

a =-\frac{4.8}{2.8}

Simplify

a =-\frac{12}{7}

Substitute a =-\frac{12}{7} in y = a |x - 4.8| + 6.4

y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0
2 years ago
Which of the following is not an undefined term?<br><br> point<br> ray<br> line<br> plane
mina [271]
I think that it is point. A point is very precise

7 0
3 years ago
Read 2 more answers
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