All categories

3 years ago

Find the center and radius, then write the standard equation of this circle

Mathematics

1 answer:

kirza4 [7]3 years ago

8 0

Center is at (0, 0) and make sure you label it on the diagram
Radius is 5 units
Equation of circle is
(X-0)^2 + (y-0)^2 = 5^2
X^2 + y^2 = 25

You might be interested in

Help ...............

sammy [17]

A straight line is 180° so....

9x+24 +6x - 24 = 180

15x=180. ( because you have to combine like terms.

X= 12

5 0

3 years ago

In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalizat

Viktor [21]

Answer:

Sample mean for solution 1: 19.27; sample mean for solution 2: 10.32

Step-by-step explanation:

To find the sample mean, find the sum of the data values and divide by the sample size.

For solution 1, the sum is given by:

9.7+10.5+9.4+10.6+9.3+10.7+9.6+10.4+10.2+10.5 = 192.7

The sample size is 10; this gives us

192.7/10 = 19.27

For solution 2, the sum is given by:

10.6+10.3+10.3+10.2+10.0+10.7+10.3+10.4+10.1+10.3 = 103.2

The sample size is 10, this gives us

103.2/10 = 10.32

6 0

3 years ago

The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.

MatroZZZ [7]

4 times 4 which is 8 so 8 times 4 which is 32 so divide that by 138 but divide the 138 first and you will get 17.25?

5 0

3 years ago

A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before t

aleksklad [387]

Answer:

We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.

Step-by-step explanation:

The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:

$IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}$

Knowing that $t_{0.99,15} = 2.602$ :

$IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516$

$IC[\mu ; 98\%] = [71.387 ; 126,416]$

Note that $102.8 \in [71.384 ; 126.416]$ so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.

7 0

3 years ago

Area of triangular prism

pychu [463]

I think the answer is 558.04

8 0

2 years ago