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Alenkinab [10]
3 years ago
6

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles and 5 yellow marbles. What is the probability that you will NOT ch

oose a blue marble?
Mathematics
2 answers:
Hoochie [10]3 years ago
7 0

Answer:

P(not choose a blue marble) = 28/45 = 0.622

Step-by-step explanation:

The probability that an event of a total of possible probable cases will occur is equal to the ratio between the number of occurrences of said event (favorable cases) and the total number of possible cases. It is given by the equation:

P(A) = number of favorable outcomes/total number of outcomes

The bags contain 12 red marbles, 11 green marbles, 17 blue marbles and 5 yellow marbles. So, the total number of marbles is:

Total number of marbles = 12 + 11 + 17 + 5 = 45 (This is the total number of outcomes)

For this case, we want to know the probability that you won't choose a blue marble. So, we have to subtract the number of blue marbles from the total number of marbles:

Total number of marbles - number of blue marbels = 45 - 17 = 28 (number of favorables outcome)

The probability that you won't choose a blue marble is:

P(not choose a blue marble) = 28/45 = 0.622 or 62.2%

AysviL [449]3 years ago
3 0

Hello! The answer to your question woulds be as followed:

We have to find how many marbles are in total first

12 + 11 + 17 + 5

= 45

Since we want to find the probability that you will NOT choose a blue marble, we have to find how many aren't blue

12 + 11 + 5

= 28

We have a probability out of 48 now, therefore

<u><em>28/48 would be our fraction, </em></u>

<u><em>To simplify:</em></u>

<u><em>7/12 or about 58.33%</em></u>

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Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

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4 0
2 years ago
HELP PLZ PICTURE^ Need it asap porfa
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Answer:

it has one solution

Step-by-step explanation:

1.y=x-3

2. 3y-3x sub x-3 in place of y therefore

it can also be written as 3x-3x-9=9

if you add 9 to both sides 3x-3x-9+9=-9+9

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3 years ago
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Answer:

3

Step-by-step explanation:

The average rate of change is

f(x2) - f(x1)

-----------------

x2-x1

We want to find the change from 1 to 3

f(3) = 8

f(1) = 2

f(3) - f(1)            8-2             6

----------------- = ------------ = ---- = 3

3-1                        2             2

4 0
3 years ago
An object is placed 21 cm from a concave lens of focal length 25 cm. what is the magnification?
wariber [46]

The magnification is 0.54

Given,

The distance between object and concave lens, u = -21 cm

Focal length of the concave lens, f = -25 cm

Let m be the magnification.

m = v/u

Here v is the position of image.

We have to find v first.

By using lens equation we can determine v.

That is,

1/f = 1/v – 1/u

So,

- (1/25) = 1/v – (-1/21)

- (1/25) = 1/v + 1/21

1/v = - (1/25) – 1/21

1/v = (-25 – 21) / (21 x 25)

1/v = - (46/525)

Therefore v = - (525/46)

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Now we have to find magnification, m.

m = v/u

   = (-11.41) / (-21)

   = 0.54

Here magnification is 0.54

Learn more about concave lens here: brainly.com/question/12944945

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