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2 years ago

12

The circumference of a circle is ________

1 answer:

AlexFokin [52]2 years ago

3 0

Answer:

2 22/7 ×r

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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

n airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitud

hram777 [196]

The angle of the plane when it rose from the ground is 64.8 degrees

<h3>Application of trigonometry identity</h3>

Given the following parameters from the question

Altitude of the airplane H = 500m

Horizontal distance from airport "d" = 235

Required

angle of elevation

According to the trigonometry identity

tan x = opposite/adjacent

tan x = H/d
tan x = 500/235

tan x = 2.1277

x = arctan(2.1277)

x = 64.8 degrees

The angle of the plane when it rose from the ground is 64.8 degrees

Learn more on angle of elevation here: brainly.com/question/88158

#SPJ1

7 0

2 years ago

Solve the equation -9v-9=-27 for v.

Nikolay [14]

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9 -18/-9

simplify y=2

hope this helps :) have a nice day !!

4 0

3 years ago

Read 2 more answers

Write the decimal number in standard form<br><br> Six and five hundred and sixteen ten-thousandths

schepotkina [342]

6.516 is the number in standard form

5 0

3 years ago

Help me plzzzzzzzzzzzz

jasenka [17]

Answer:

1. 10x^2 -4

2. 2a^5 + 5b

Step-by-step explanation:

1. Simplify 4(x^2 -1) to 4x^2 -4

then add that to 6x^2

2. 4a^5 - 2a^5 = 2a^5 and

4b+b = 5b

6 0

3 years ago

Read 2 more answers