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Nadusha1986 [10]
3 years ago
15

Consider a collection of envelopes consisting of 3 red envelopes​, 1 blue envelope​, 3 green envelopes​, and 2 yellow envelopes.

If three envelopes are selected at​ random, without​ replacement, determine the probability that they are all green envelopes.
Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Total envelopes: 3 + 1 + 3 + 2 = 9 with a total of 3 green ones.

Probability of picking green first: 3 out of 9 = 3/9 = 1/3

There are 8 envelopes left, with 2 green ones.

Probability of picking a green one is 2 out of 8 = 2/8 = 1/4

There are 7 envelopes left and 1 green one.

Probability of picking green is 1 out of 7 = 1/7

Probability of picking all 3 = 1/3 x 1/4 x 1/7 = 1/84

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It is -2.  This is negative.  For instance, if you had 3 candies and your mother took away 5, you would not only have 0 candies, but you would owe your mother 2.  This is expressed as a negative number.  Please mark Brainliest!!!
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Given a∥b , and c is not parallel to a or b, which statements must be true?
Vlad1618 [11]

Answer:

1. We have been given that a∥b , and c is neither parallel to a nor b.

Let us see which of our given options are correct.

A. m∠7 can not be equal to m∠11  as line c is not parallel to line a.

B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.

C. By alternate interior angles m∠4=m∠5  as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.  

D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.

Therefore, Option C and D are correct choices.

2. We have been given that  AB∥CD and m∠4=85°. We are asked to find measure of ∠5.

Since we know that same side interior angles are supplementary. In our figure we can see that  ∠4 and ∠5 are same side interior angles.

Therefore, measure of ∠5 will be 95 degrees.  

Step-by-step explanation:

1. is m∠4=m∠5 by the alternate interior angle theorem.

2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.

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3 years ago
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3 years ago
Gary spends 10 per week on the internet and 13 hours per week playing video games. If Gary has five hours of free time per day w
Natalka [10]

Answer:

460% of free time is spent on internet and games .

Step-by-step explanation:

Given as :

The time spent by Gary on internet = 10 hours per week

The time spent by Gary on video games = 13 hours per week

So, Total time spent by Gary = 10 hours per week + 13 hours per week

                                                = 23 hours per week

The free time which Gary have = 5 hours

Now, percentage of free time spent on internet and games = x %

So, x % of 5 = 23

or, x % = \frac{23}{5}

∴  x% = 4.6

I.e x = 460 %

Hence  460% of free time is spent on internet and games . Answer

5 0
3 years ago
assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
melomori [17]

Given:

x and y are both differentiable functions of t.

4x^2+3y^3=28

x=-1\text{ and }\dfrac{dy}{dt}=8

To find:

The value of \dfrac{dx}{dt}.

Solution:

We have,

4x^2+3y^3=28       ...(i)

At x=-1,

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Divide both sides by 3.

y^3=8

Taking cube root on both sides.

y=2

So, y=2 at x=-1.

Differentiate (i) with respect to t.

4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0

Putting x=-1, y=2 and \dfrac{dy}{dt}=8, we get

4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0

-8\dfrac{dx}{dt}+9(4)(8)=0

-8(\dfrac{dx}{dt}-9(4))=0

Divide both sides by -8.

\dfrac{dx}{dt}-36=0

\dfrac{dx}{dt}=36

Therefore, the value of 4x^2+3y^3=28 is 36.

6 0
3 years ago
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