All categories

4 years ago

What is the approximate circumference of a circle that has a diameter of 20 Centimeters

Mathematics

2 answers:

ch4aika [34]4 years ago

7 0

The approximate circumference is 62.83

frosja888 [35]4 years ago

6 0

The circumference is 20 pi.

You might be interested in

Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co

Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0

3 years ago

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = x^3 – 3x^2 + 2x

castortr0y [4]

Answer: The correct option is second, i.e. ,"2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

Explanation:

The given equation is,

$y=x^3-3x^2+2x$

It can be written as,

$f(x)=x^3-3x^2+2x$

Find the zeros of the equation. Equation the function equal to 0.

$0=x^3-3x^2+2x$

$x(x^2-3x+2)=0$

$x(x^2-2x-x+2)=0$

$x(x-2)(x-1)=0$

So, the three zeros are 0, 1 and 2.

The graph of the equation is shown below.

From the given graph it is noticed that the enclosed by the curve and x- axis is lies between 0 to 2, but the area from 0 to 1 lies above the x-axis and area from 1 to 2 lies below the x-axis. So the function will be negative from 1 to 2.

The area enclosed by curve and x-axis is,

$A=\int_{0}^{1}f(x)dx+\int_{1}^{2}[-f(x)]dx$

$A=\int_{0}^{1}f(x)dx-\int_{1}^{2}f(x)dx$

From the graph it is noticed that the area from 0 to 1 is symmetric or same as area from 1 to 2. So the total area is the twice of area from 0 to 1.

$A=2\int_{0}^{1}f(x)dx$

$A=2\int_{0}^{1}[x^3-3x^2+2x]dx$

Therefore, The correct option is "2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

3 0

3 years ago

Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (ne

Juli2301 [7.4K]

Answer:

1/4(1 - 3x)

Step-by-step explanation:

Step 1: Write out expression

1/4 - 3/4x

Step 2: Factor out GCF

1/4(1 - 3x)

4 0

4 years ago

Read 2 more answers

Please answer ASAP!!

belka [17]

Answer:

3. It is likely.

Step-by-step explanation:

Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side

<u>Then the areas covered will be as:</u>

point 20 = πr² = S
point 15 = π(2r)² - πr² = 3πr² = 3S
point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
point 5 = π(4r)² - π(3r)² = 7πr² = 7S

Total area of the dartboard is S+3S+5S+7S = 16S

The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S

The probability of scoring at least 10 points is:

9S/16S = 0.5625

As it is between 1/2 and 1, the probability is in 'likely' region

<u>So the correct answer choice is:</u> 3. It is likely

4 0

3 years ago

Please help needed today

Simora [160]

Answer:

-9

Step-by-step explanation:it is 2.5 diffrence for each place on the graph so 2.5 times 30 (cause 60 and 90 have a 30 point diffrence) would give you 75 and seince the numbers are decresing to the right side i subtracted 75 from 66 and the awnser is -9. hope this helps and sorry my spelling is bad

6 0

3 years ago