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3 years ago

The circle below is centered at the point (3, 1) and has a radits of length 2.

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

Step-by-step explanation:

$Step 1: The- equation- of -a- circle- with -center -at- (h,k)- and- a -radius- of- r- is:\\(x-h)^2+(y-k)^2=r^2\\In -this -question ,h=3, k=1 and r=2, so- after- substituting- into- above -formula- we- get:\\(x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2 = 4\\ x^2-6x+9+y^2 -2y+1-4=0\\x^2-6x+y^2-2y+6=0$

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Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm d

Alona [7]

She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and5 cm deep. (1 gallon =... ... (1 gallon = 231 in3, 1 inch = 2.54 cm) Which of the following scenarios willhappen? a. The paint will not fill it

8 0

3 years ago

-13.9+(-12.8) evaluate the answer

taurus [48]

Answer:

=-26.7

Step-by-step explanation:

=-13.9+(-12.8)

=-13.9-12.8

=-26.7

8 0

2 years ago

Read 2 more answers

People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear

Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

α: 0.05

Left critical value: $t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306$

Right critical value: $t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306$

$t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

X[bar]= 23

S= 3

$t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3$

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0

3 years ago

65 POINTS PLEASE HELP

miskamm [114]

Answer:

= -----------

6(x + 7)

Step-by-step explanation:

3x - 21 x^2 - 49

----------- ÷ -------------

18x - 18 x - 1

3x - 21 x - 1

----------- × -------------

18x - 18 x^2 - 49

Factor the top left:

3x - 21 = 3(x - 7)

Factor the bottom left:

18x - 18 = 18(x - 1)

Factor the new bottom right:

x^2 - 49 = (x + 7)(x - 7)

Multiply and simplify the faction:

3(x - 7) x - 1

----------- × -----------------

18(x - 1) (x + 7)(x - 7)

= -------------

6(x + 7)

6 0

3 years ago

Read 2 more answers

10. Use the data to determine the missing values in the five-number summary.

exis [7]

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

7 0

3 years ago