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3 years ago

13

A bucket contains 12 balls, 8 of which are white. If you reach in and randomly grab two balls, what is the probability that both

are white?

1 answer:

Molodets [167]3 years ago

4 0

Answer:22 is the answer

Step-by-step explanation: 12+8+2=22 HOPE IT HELP! if it wrong tell me

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

During a 5-day work week, pete was sick for 2 days .what fraction of the work week was he sick?

timofeeve [1]

I think the answer is 2/5

6 0

2 years ago

The surface area of yringaler prism

Trava [24]

Answer:

180 cm

Step-by-step explanation:

2(3*10) = 60

3*12 = 24

1/2(12*8) * 2 = 96

formula for a triangle is 1/2 b h

7 0

2 years ago

I am loosing and wasting points no one is answering my questions but they answer everyone else plz answer my questions I am dum

siniylev [52]

<u>We are given:</u>Distance covered by the fastest man in 9 seconds = 100m

<u>To Find: </u>The distance covered in 1 min 2 seconds or 62 seconds

<u>Finding the Speed of the man:</u>

We know that:

speed = distance covered / time taken

Speed = 100 / 9 <em>(we are given that he travels 100 m in 9 seconds)</em>

Speed = 11.11 m/s

<u>Distance travelled in 62 seconds:</u>

We know that:

distance covered = speed * time

<em>replacing the value of speed and time</em>

Distance = 11.11 * 62

Distance = 688.82 m

5 0

2 years ago

What is the height, in feet, of the portion AB of the lamp post?

sineoko [7]

AB=h can be found with

tan 60° =AB / AC, and AB=h= tan60° x AC
h= 14* 1.73=24.24

4 0

3 years ago