All categories

4 years ago

Which formula should be used to find the circumference of a circle?

Mathematics

2 answers:

VARVARA [1.3K]4 years ago

6 0

Answer:

Step-by-step explanation:

andriy [413]4 years ago

4 0

Answer:

Step-by-step explanation:

$C=\pi d\\$

C=pi times 2r

You might be interested in

When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed as:______.

jasenka [17]

Answer:

Step-by-step explanation:

The linear model can be assessed by the checking the independent variables having power 1 which shows the linear relationship between x and y. For example, as in the option B, C and D, the power of Xi's is one. Whereas the non linear model has the power for independent variables greater than 1. For example, as in option A the model is a quadratic model because X associated with β2 has a power of a 2.

Thus the nonlinear model can be expressed as

Y = β0 + β1X + (β2X)2 + ε.

7 0

4 years ago

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet

Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

$P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\$

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

$P(x)=q^x\cdot p$

The values for the first x are:

$P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\$

This probability will be descending as the the variable x increases.

The mean is:

$\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3$

The standard deviation is:

$\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46$

5 0

3 years ago

Jackson Elementary School needs to order more spoon for the cafeteria each box has 500 spoons inside if they order 22 boxes how

Veronika [31]

500*22=11,000

11000 spoons

Hope this helps!

5 0

3 years ago

Read 2 more answers

Simplify the expression (2sqrt27) x (3sqrt32)

mars1129 [50]

The first step for solving this expression is to simplify the radical in the first set of parenthesis.
(6 $\sqrt{3}$ ) × (3 $\sqrt{32}$ )
Simplify the radical in the second set of parenthesis.
(6 $\sqrt{3}$ ) × (12 $\sqrt{2}$ )
Remove the parenthesis off of both sets.
6 $\sqrt{3}$ × 12 $\sqrt{2}$
Now calculate thee product to find your final answer.
72 $\sqrt{6}$
This means that the correct answer to your question is going to be 72 $\sqrt{6}$ ,, or option B.
Let me know if you have any further questions.
:)

3 0

3 years ago

The numerical value of sin(π/18) * sin(5π/18) * sin(7π/18) is equal to?

elena-14-01-66 [18.8K]

Below is the answer, I hope it helps:

= sin(10) sin(30) sin(50) sin(70) sin(90)

= sin(10) sin(50) sin(70) / 2 

cos(90 - x) = sin(x) 

= cos(80) cos(40) cos(20) / 2 

= (cos(80 + 40) + cos(80 - 40)) cos(20) / 4 

= (-1/2 + cos(40)) cos(20) / 4 

= (cos(40) cos(20) - cos(20)/2) / 4 

= (2 cos(40) cos(20) - cos(20)) / 8 

= (cos(40 + 20) + cos(40 - 20) - cos(20)) / 8 

= (1/2 + cos(20) - cos(20)) / 8 

= (1/2) / 8 

= 1/16.

5 0

3 years ago