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1 year ago

HELP!! What is the equation of the circle shown in the graph?

Mathematics

1 answer:

ale4655 [162]1 year ago

8 0

9514 1404 393

Answer:

(x +6)^2 +(y -4)^2 = 36

Step-by-step explanation:

The center is (-6, 4) and the radius is 6. Putting those into the standard form equation, you have ...

(x -h)^2 +(y -k)^2 = r^2 . . . . . . center (h, k), radius r

(x -(-6))^2 +(y -4)^2 = 6^2 . . . . numbers filled in

(x +6)^2 +(y -4)^2 = 36 . . . . . . cleaned up a bit

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The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.0

uysha [10]

Answer:

a) 20%

b) 40%

c) Mean = 62.5 seconds; Variance = 52.083 seconds

Step-by-step explanation:

The time it takes a hematology cell counter to complete a test on a blood sample is continuously distributed over the period of 50 to 75 seconds with probability f(x) = 0.04.

a) The percentage of tests require more than 70 seconds is:

$P(X>70) = 1- \frac{70-50}{75-50} \\P(X>70) =0.2 = 20\%$

b)The percentage of tests that require less than one minute (60 seconds) is:

$P(X70) =0.4 = 40\%$

c) The mean and variance of a continuous distribution are determined by:

$M=\frac{A+B}{2}=\frac{50+75}{2}\\ M= 62.5\ seconds\\\\V=\frac{(B-A)^2}{12}=\frac{(75-50)^2}{12}\\ V= 52.083\ seconds$

Mean = 62.5 seconds.

Variance = 52.083 seconds.

3 0

2 years ago

A professional writer decides to judge the value of her laptop by the number of times she presses

shusha [124]

Answer:

D.)

15040000 <= k <=19840000

Step-by-step explanation:

V = 1200 -0.00002k

Value V after one year falls in the range of $803.20 and $899.20.

Let's substract these values from 1200.

1200-803.20=396.80

1200-899.20=300.80

So it means that

0.00002k= 396.80

And

0.00002k= 300.80

0.00002k= 396.80

K= 396.80/0.00002

K= 19840000

And

0.00002k= 300.80

K = 300.80/0.00002

K= 15040000

So range is between

15040000 <= k <=19840000

7 0

2 years ago

Given directed line segment QS , find the coordinates of R

Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ( $x_1,y_1$ ) and B( $x_2,y_2$ ) is given by the formula:

$x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1$

If point Q is at ( $x_1,y_1$ ) and S at ( $x_2,y_2$ ) and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

$x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1$

Let us assume Q(−9,4) and S(7,−4)

$x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1$

4 0

2 years ago

Preston is making cookies. He has fraction 4 over 5 cup of flour in a bag. He then used two fraction 1 over 10 cup scoops of flo

Art [367]

I'm pretty sure the answer will be 6/10

Hope this helps, best of luck, terribly sorry if I'm wrong if I am my apologies

~Animaljamissofab ♥

5 0

2 years ago

Read 2 more answers

t Technodynamics, Inc., a randomly-selected hiring committee of 3 people is formed from a group of 4 employees in marketing an

atroni [7]

Answer: a) 0.25, b) 0.78, c) 0.71

Step-by-step explanation:

Since we have given that

Number of employees in marketing = 4

Number of employees in management = 7

We need to hire committee of 3 people.

a) Find the probability that the committee has exactly 2 employees from marketing.

So, Probability becomes

$\dfrac{^4C_2\times ^7C_1}{^{11}C_3}\\\\=\dfrac{42}{165}\\\\=0.25$

b) Find the probability that the committee has at least one employee from marketing.

$P(x\geq 1)=1-P(x=0)\\\\P(x\geq 1)=1-\dfrac{^7C_3}{^{11}C_3}=1-0.212=0.78$

c) Find the probability that the committee has at most one employee from management.

$P(x\leq 1)=P(x=0)+P(x=1)\\\\P(x\leq 1)=\dfrac{^7C_3}{^{11}C_3}+\dfrac{^7C_2\times ^4C_1}{^{11}C_3}\\\\P(x\leq 1)=0.21+0.50=0.71$

Hence, a) 0.25, b) 0.78, c) 0.71

8 0

1 year ago