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3 years ago

Find the circumference of the circle if the diameter is 27m. Use 3.14 for Pi.

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

Circumference= 84.78 or if needed simplified 85

Step-by-step explanation:

c=2×3.14×r

in this case to get the radius divide the diameter by 2 which would equal 13.5 so the formula would be

2×3.14×13.5=84.78

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Suppose a deck of cards contains 13 cards:

ira [324]

Answer:

$P(G_1) = \frac{5}{13}$

$P(G_2) = \frac{1}{3}$

$P(X \ge 1) = \frac{25}{39}$

Step-by-step explanation:

Given

$G = 5$

$R = 4$

$B = 4$

$n = 13$

Solving (a): $P(G_1)$

This is calculated as:

$P(G_1) = \frac{G}{n}$

$P(G_1) = \frac{5}{13}$

Solving (b): $P(G_2)$

This is calculated as:

$P(G_2) = \frac{G - 1}{n - 1}$ -- this is so because the selection is without replacement

$P(G_2) = \frac{5 - 1}{13 - 1}$

$P(G_2) = \frac{4}{12}$

$P(G_2) = \frac{1}{3}$

Solving (c): $P(X \ge 1)$

Using the complement rule, we have:

$P(X \ge 1) = 1 - P(X = 0)$

To calculate $P(X = 0)$ , we have:

$G = 5$ --- Green

$G' = 8$ ---- Not green

The probability that both selections are not green is:

$P(X = 0) = P(G'_1) * P(G'_2)$

So, we have:

$P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}$

$P(X = 0) = \frac{8}{13} * \frac{8-1}{13-1}$

$P(X = 0) = \frac{8}{13} * \frac{7}{12}$

Simplify

$P(X = 0) = \frac{2}{13} * \frac{7}{3}$

$P(X = 0) = \frac{14}{39}$

Recall that:

$P(X \ge 1) = 1 - P(X = 0)$

$P(X \ge 1) = 1 - \frac{14}{39}$

Take LCM

$P(X \ge 1) = \frac{39 -14}{39}$

$P(X \ge 1) = \frac{25}{39}$

7 0

3 years ago

Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, a

juin [17]

Answer:

The distance between the zoo and the library is 400ft

Step-by-step explanation:

Let x be the distance between point G and the zoo

Let y be the distance between the zoo and the library

To solve this problem quickly, we use trigonometric relations

tan(angle) = opposite cathetus / adjacent cathetus

In this case

tan(30) = (200√3) / (x+y)

(x+y) = (200√3)/ tan(30)

(x+y) = 600 ft

For the other angle

tan(60) = (200√3) / (x)

(x) = (200√3)/ tan(60)

x = 200 ft

y = 600 ft - 200 ft = 400 ft

The distance between the zoo and the library is 400ft

7 0

3 years ago

Read 2 more answers

What is the diameter of the smallest circle that would enclose 2,000 pennies?

vladimir1956 [14]

Answer:

Almost about 4500 mm

Step-by-step explanation:

Measure the pennies width and estimate. Multilpy by 2000 and there you go!

4 0

3 years ago

What is the percentage change ? 54 decreased to 32?

Dimas [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

What is the value of the expression x + (–y) when x = –2.3 and y = –5.9? A. –8.2 B. –3.6 C. 3.6 D. 8.2

11Alexandr11 [23.1K]

Now it would be
-2.3+(-5.9)

now just add those two together
and u get -8.2
So the answer is A

7 0

3 years ago