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3 years ago

The equation of a circle whose center is at ( 4,0 ) and radius is length 2 ( square root ) 3

2 answers:

8 0

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

The center is (4,0), the length of the radius is 2√3.
$(x-4)^2+(y-0)^2=(2\sqrt{3})^2 \\
\boxed{(x-4)^2+y^2=12}$

Ierofanga [76]3 years ago

4 0

The equation of such a circle, described as
set forth in the question, is

(x-4)² + y² = 12 .

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

= $(\frac{3}{4^4})[1+\frac{1}{16}]$

= $(\frac{3}{256})[\frac{17}{16}]$

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0

3 years ago

MIDDLE SCHOOL MATH DONT ANSWER IF YOU DONT KNO- WILL GIVE BRAINLIEST

Juli2301 [7.4K]

Answer:

Radius is 2.8 Circumference is 17.584 or 17.6 Rounded to the nearest Tenths 

Step-by-step explanation:

1. Find circumference with the Formula C=πd

C=3.14 x 5.6

C=17.584 or 17.6 Rounded to the nearest Tenths

2. Radius is Always half of the Diameter.

5.6/2 = 2.8

2.8 is your radius.

3. If you want to check you work try the formula C=2πr to see if things checks out.

C=2 x 3.14 x 2.8

C= 17.584 or 17.6 Rounded to the nearest Tenths

Hope this Helps!

3 0

2 years ago

10 feet wide by 30 feet long by 1/3 foot deep.what is the volume?

Ket [755]

----------------------------------------------
Formula
----------------------------------------------
Volume = Length x Width x Height

----------------------------------------------
Apply Formula
----------------------------------------------
Volume = 10 x 30 x 1/3 = 100 ft³

----------------------------------------------
Answer: 100 ft³
----------------------------------------------

4 0

2 years ago

Read 2 more answers

Will give brainliest

beks73 [17]

Answer:

x = 0, y = 2, and z = -1

Step-by-step explanation: