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3 years ago

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.

Mathematics

1 answer:

Advocard [28]3 years ago

6 0

Answer:

$P(Blue)=0.60$

Step-by-step explanation:

Probability: $Probability\ of\ an\ event=\frac{favourable\ outcome}{total\ outcome}$

$Total\ marbles=20\\\\Hence\ total\ outcomes=20\\\\Blue\ marbles=12\\\\Hence\ favourable\ outcomes=12\\\\P(Blue)=\frac{12}{20}\\\\P(Blue)=\frac{2\times 6}{2\times 10}\\\\P(Blue)=\frac{6}{10}\\\\P(Blue)=0.60$

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nekit [7.7K]

Answer:

$d = \sqrt{65}$

Step-by-step explanation:

We need to find the distance between the points (5, 2) and (1, 9). In order to do this, we will use something called the distance formula. The distance formula is written as follows:

$d = \sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

Now we need to plug in our points which we have given in the form (x, y):

$d = \sqrt{(5-1)^{2}+(2-9)^{2}}$

Next, perform the operation of subtraction inside the parentheses to simplify:

$d = \sqrt{(4)^{2}+(-7)^{2}}$

The exponent is the next step in the order of operations, so square 4 and -7:

$d = \sqrt{16+49}$

Finally, add 16 to 49:

$d = \sqrt{65}$

The square root of 65 cannot be simplified further, but an approximation can be made.

$\sqrt{65}$ ≈ 8.062257748

7 0

3 years ago

Which triangle is similar to triangle PQR using the pieces of Right Triangles Similarity Theorem?

Dovator [93]

sorry po sorry popopojhbvb

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3 years ago

Susan is trying to decide between two jobs. One job pays $12 per hour for the first 36 hours and $15 per hour for any additional

nasty-shy [4]

Answer:

For the first question (For which job will she earn more if she works 40 hours a week), the answer is the second job.

For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

7 0

3 years ago

John withdraws $40.00 from her savings account each month. What integer represents the net effect on her balance after 5 months?

lina2011 [118]

Answer:

The net effect of amount in John account after 5 months is $A - $200

Step-by-step explanation:

Given as :

The amount of money withdraws by John each month from his account = $40

Let The total amount of money did John had in his account = $A

Let the amount left in John account after 5 months of withdraw = $x

<u>So, According to question</u>

∵ Each month the money withdraw from account = $40

∴ In 5 months , the money withdraw = $40 × 5

I.e In 5 months , the money withdraw = $200

So, The left money in account after withdraw in 5 months = $A - The amount withdraw in 5 months

I.e x = $A - $200

So, The balance in account after 5 months = x = $A - $200

Hence, The net effect of amount in John account after 5 months is $A - $200 Answer

6 0

3 years ago

The formula s= sqrt SA/6

ikadub [295]

For this case we have the following equation:
s = root (S.A / 6)
Substituting values we have:
For S.A = 180:
s = root (180/6)
s = root (30)
For S.A = 120:
s = root (120/6)
s = root (20)
s = root (4 * 5)
s = 2 * root (5)
Subtracting both values we have:
root (30) - 2 * root (5)
Answer:
root (30) - 2 * root (5)
option 2

3 0

3 years ago