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3 years ago

What is the probability (draw a blue marble)?

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

Answer:

3/12

Step-by-step explanation:

Theres 3 blue marbles and 12 total marbles (including all the colors).

Andreas93 [3]3 years ago

6 0

Answer: 1/3

Step-by-step explanation: In this problem, we're asked to find the probability of selecting a blue marble from a bag without looking.

Start with the ratio for the probability

of an event which is shown below.

P(event) <em>= number of favorable outcomes/total number of outcomes</em>

Since there are 3 blue marbles in a bag, the number of favorable outcomes is 3 and since there are 12 marbles in all and it's equally likely that we will choose any of the marbles, the total number of outcomes is 12 so we have 3/12.

Therefore, the probability of choosing a blue marble is 3/12.

However, notice that 3/12 can be reduced to 1/3.

So the final answer for the probability of choosing a blue marble is 1/3.

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=6400$

$\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)$

$\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)$

$\text{The amount of tax paid by Carys for the amount over 43000}=1040$

$\text{The total amount of tax paid by Carys}=6400+1040$

$\text{The total amount of tax paid by Carys}=7440$

Therefore, Carys paid an amount of $7,440 in tax.

6 0

3 years ago

Read 2 more answers

The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each

stira [4]

Answer:

50 Minutes.

Step-by-step explanation:

The function c approximates the total number of calls made after m minutes since the start of the phone tree.

$c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

We need to find the number of minutes after which the total number of calls will 363.

Substitute c(m)=363 in the given function.

$363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

Multiply 3/2 both sides.

$363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)$

$242=3^{\frac{m}{10}}-1$

Add 1 on both sides.

$243=3^{\frac{m}{10}}$

$3^5=3^{\frac{m}{10}}$

On comparing both sides we get

$5=\frac{m}{10}$

Multiply both sides by 10.

$50=m$

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.

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3 years ago

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A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.

jasenka [17]

Answer:

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x -----> the possible lengths of the third side

Applying the Inequality Theorem

1) 12+8 > x

20 > x

Rewrite

x < 20 in

2) 8+x > 12

x> 12-8

x > 4 in

therefore

4 in < x < 20 in

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

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Answer:

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