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2 years ago

Find the following measure for this figure.

Mathematics

2 answers:

mojhsa [17]2 years ago

7 0

We use the formula: Circumference of circle = 2πR

R = 6 units

C = 2πR = 2 × π × 6 = 12π units

Correct ansver: a) 12π units

uranmaximum [27]2 years ago

5 0

Answer:

The correct option is 1. The circumference of circle is 12π units.

Step-by-step explanation:

From the given figure it is clear that the radius of the circle is6 units.

The circumference of a circle is

$C=2\pi r$

Where, r is the radius of the circle.

The circumference of the circle is

$C=2\pi (6)$

$C=12\pi$

The circumference of circle is 12π units.

Therefore option 1 is correct.

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a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are ind

Nataly_w [17]

Answer: $0.939\ or\ 93.9\%$

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

$\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608$

The probability that the random person has neither of the two is

$\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939$

3 0

2 years ago

Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com

ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

= 8C1 = $\hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!} = \frac{8!}{1!\times 7!} = \frac{8}{1} = \hspace{0.1cm}8 \hspace{0.1cm}ways$

6 0

2 years ago

Solve for X 6x+60x+150=0

hammer [34]

Answer:

<h2>x = -2.27272727273</h2><h2>in fraction</h2><h2>x = -25/11</h2>

Step-by-step explanation:

Solve for X

6x+60x+150=0

66x = -150

x = -150 : 66

x = -2.27272727273

in fraction

x = -25/11

3 0

1 year ago

The value of y varies directly as the square of x and y=27 when x=9. Find the equation represents this relationship. Report the

skad [1K]

Answer:

The relation between x and y is

$y=\frac13 x^2$

Step-by-step explanation:

Given that,

The value of y varies directly as the square of x.

$y\propto x^2$

$\Rightarrow y=rx^2$

where r is constant of proportional.

Given that,

y= 27 and x=9

Plug y= 27 and x=9 in above relation

$y=rx^2$

$\therefore 27=r(9)^2$

$\Rightarrow 27 = r.81$

$\Rightarrow r=\frac{27}{81}$

$\Rightarrow r=\frac{1}{3}$

The relation between x and y is

$y=\frac13 x^2$

8 0

3 years ago

Which of the following points is a solution of the inequality y < |x - 2|?

crimeas [40]

Answer:

(-2,0)

Step-by-step explanation:

y < |x - 2|

Substitute the points in and check

(-2,0)

0 < |-2 - 2|

0 < |-4|

0 < 4 True

(2,1)

1 < |2 - 2|

1 < |0|

1 < 0 False

(2,0)

0 < |2 - 2|

0 < |0|

0 < 0 False

3 0

3 years ago