A urn contains 3 red and 5 black balls. Tom first withdraws a ball from the urn and Mary withdraws a ball from the urn without replacement. They keep withdrawing a ball alternately until a red ball is selected. Find the probability that Tom selects the red ball.

a) 3/8
b) 15/64
c) 31/56
d) 48/64
e) 34/56

Answer:

The answer is 65 percent

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

This is a proportion question.

598      x

___ = ___

920    100

First, do 598 x 100 and get 59,800.

Then do 59,800/920 and get 65%.

Answer:

a. 2p=3

b. 5p=7.5

c. 8p=12

a. p=1.5

b. p=1.5

c. p=1.5

their all the same

Hope This Helps!!!

Answer:

The percentage gain in Polly's investment over the two year period will be 2%.

Step-by-step explanation:

Given:

- Polly the Penguin invested $250 in the Antarctic stock market.

- During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period.

To Find:

- The percent loss or gain in Polly's investment.

The formula used to calculate percentage is: (value/totalvalue) x100%

- First, we determine the loss suffered by multiplying the loss percentage with the investment amount. Then, we get the amount after the loss is calculated. Then, we calculate the gain by multiplying the gain percentage with the previous amount to get the net amount in the second year.

Step 1 of 2

- The 15% loss in the first year on the investment amount $250 can be calculated as

[tex]$$\begin{aligned}&=250-15 \% \text { of } 250 \\&=250-\frac{15}{100} \times 250 \\&=250-\frac{3}{20} \times 250 \\&=250-\frac{750}{20} \\&=250-37.5 \\&=\$ 212.50\end{aligned}$$[/tex]

Step 2 of 2

- The 20% gain in the second year can be calculated as

[tex]$$\begin{aligned}&=212.50+20 \% \text { of } 212.50 \\&=212.50+\frac{20}{100} \times 212.50 \\&=212.50+42.50 \\&=\$ 255\end{aligned}$$[/tex]

- Here, we can observe that the total profits increased by $5 from the initial investment of $250. This means that 1% gain is equal to $2.50. So, 2% gains mean $5.

Answer:

5% gain

Step-by-step explanation: mental math

Answer: 12

Step-by-step explanation:

Converting the problem into words, we have

x= 4/10*30

x=12

Answer:

Given:

Suppose Paul receives a 6% raise every year.

To find:

After four such raises, the total percentage increase to the nearest whole percent.

The formula used to calculate percentage is: (value/total value)*100%.

Step-by-step explanation:

Step 1 of 1

Assume his salary is originally  100 dollars.

Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.

The next year he would have 119.1016 dollars and in the final year, he would have 126.247.

As the total increase is,

((126.247 -100)/100) *100

= 26.247%

the answer is 26%.

Answer:

[tex]-\frac{5}{9}[/tex]  

Answer:

2880 cans.

Step-by-step explanation:

Currently, he already collected 1,100 pounds of newspaper.

Each pound is equal to one penny or 0.01 dollars.

1100 * 0.01 = $11 dollars.

$20 - $11 = $9.

He needs $9 dollars.

$9 / 0.05 (Nickel value) = He needs 180 Nickels / Pounds of Aluminum.

180 pounds = 2880 oz (180 * 16)

He needs 2880 cans.

Rob needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.

Rob figure out how many aluminum cans he needs to collect to earn $20 for his club. The recycler pays different rates for newspaper and aluminum, so we'll use some mathematical concepts like Equations and conversion to find the answer.

To determine how many aluminum cans Rob needs to collect, we'll follow these steps:

Step 1: Calculate earnings from newspapers

First, we need to find out how much money Rob will make from the 1,100 pounds of newspaper he collected. The recycler pays one penny per pound for newspaper. So, the earnings from newspapers can be calculated using the formula:

[tex]\[ \text{Earnings}_{\text{newspaper}} = \text{Rate}_{\text{newspaper}} \times \text{Weight}_{\text{newspaper}} \][/tex]

Here, [tex]\(\text{Rate}_{\text{newspaper}}\)[/tex] is the rate per pound for newspaper, which is $0.01 (1 penny), and

[tex]\(\text{Weight}_{\text{newspaper}}\)[/tex] is the weight of newspaper collected, which is 1,100 pounds.

[tex]\[ \text{Earnings}_{\text{newspaper}}[/tex] = [tex]\$0.01 \times 1,100 ][/tex]

Step 2: Calculate earnings from aluminum cans

Next, we'll find out how much money Rob will make from collecting aluminum cans. The recycler pays five cents per pound for aluminum, which is equivalent to $0.05. However, the weight of the aluminum cans is given in ounces, so we'll need to convert it to pounds.

Since 1 pound is equal to 16 ounces, we can use the conversion factor:

[tex]\[ 1 \text{ pound} = 16 \text{ ounces} \][/tex]

To convert the weight of aluminum cans from pounds to ounces, we use the formula:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Weight}_{\text{aluminum}} (\text{ounces})}{16} \][/tex]

We know that Rob wants to earn $20, and we already calculated the earnings from newspapers. So, we can find the earnings from aluminum cans using the formula:

[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \text{Earnings}_{\text{newspaper}} \][/tex]

Now, we can find the weight of aluminum cans in pounds:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Earnings}_{\text{aluminum}}}{\text{Rate}_{\text{aluminum}}} \][/tex]

where [tex]\(\text{Rate}_{\text{aluminum}}\)[/tex] is the rate per pound for aluminum, which is $0.05.

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \][/tex]

Step 3: Convert weight to number of cans

Since each aluminum can weighs approximately 1 ounce, we can find the number of cans Rob needs to collect by converting the weight from pounds to ounces:

[tex]\[ \text{Number of cans} = \text{Weight}_{\text{aluminum}} (\text{pounds}) \times 16 \][/tex]

Substitute the expression for[tex]\(\text{Weight}_{\text{aluminum}} (\text{pounds})\)[/tex] from Step 2:

[tex]\[ \text{Number of cans} = \left( \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \right) \times 16 \][/tex]

Now, let's calculate the number of aluminum cans Rob needs to collect to earn $20 for his club!

First, we'll calculate the earnings from newspapers:

[tex]\[ \text{Earnings}_{\text{newspaper}} = \$0.01 \times 1,100 = \$11 \][/tex]

Next, let's find the earnings from aluminum cans:

[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \$11 = \$9 \][/tex]

Now, let's calculate the weight of aluminum cans in pounds:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$9}{\$0.05} = 180 \text{ pounds} \][/tex]

Finally, we'll convert the weight from pounds to ounces:

[tex]\[ \text{Number of cans} = 180 \text{ pounds} \times 16 = 2,880 \text{ cans} \][/tex]

So, Rob needs to collect approximately 2,880 aluminum cans, each weighing approximately 1 ounce, to earn $20 for his club.

Rob collected 1,100 pounds of newspaper, earning $11 from the recycler. To reach his goal of earning $20 for his club, he needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.

To know more about Equation here

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Step-by-step explanation:

Angle 1 = 105 degrees (co-interior angles on a set of parallel lines)

Angle 2 = 75 degrees (corresponding angles on a set of parallel lines)

Hope you have a nice day :)

Answer:

"A value that is substituted in for the variable in a function in order to generate an output value" is gonna be known as an input.

"A group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position" is known as an ordered pair.

"A value generated by a function when an input value is substituted into the function and evaluated" is known as an output.

I hope I have helped with this problem. Have a good day.

Answer:

a=c=30⁰, b=150⁰.

Step-by-step explanation:

angle R is 120⁰ (vertically opposite angle)

so, for vertically opposite angle c we have,

30⁰+120⁰+c=180⁰

Hence, c=30⁰.

angle a = angle c = 30⁰ (corresponding angle).

180⁰-c = b (from figure being straight line)

or, b=180⁰-30⁰

hence, b=150⁰

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

              [tex]\star\large\boldsymbol{\rm{Given-:}}[/tex]

             [tex]\star\large\boldsymbol{\rm{We're\;Looking\;for}}[/tex]

            [tex]\star\large\boldsymbol{\rm{This\;is\;how\;it's\;found}}}[/tex]

        [tex]\large\boldsymbol{\rm{0.4\times100=40\;Centimetres}}[/tex]

[tex]\pmb{\tt{done!!!}}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

Answer:

90°

Step-by-step explanation:

In the picture, if you make a shape of the angles (including x°, y°, and the undefined angle), it is a circle, therefore it is 360° because a circle is 360°.

First, you add 50° + 40°, which gives you 90°. The undefined angle, which is 50° + 40° vertical angle is also 90° Therefore x° and y° must equal 90°.

Answer:

Step-by-step explanation:

I think that the best line you can draw with an ordered pair given would be (4,15) and (10,7)

It's - b + a

Because we're going down the arrow on b or the opposite direction of b. Then, up to C where its vector is a as it lies half way on AC with half of the line labelled a. So, the other half must be also a.

Hope this helps!

Answer:

Step-by-step explanation:

385.60 / 2 = 192.8

since 1lb = 1 pound

192.8 × 1.15 = $221.72

Answer: 5

Step-by-step explanation:

Negative x and positive x combined together cancel each other out

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

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Answer:

23. 1/5 24.7/10 25. 23/50

Answer:

his is correct

Step-by-step explanation:

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.

Step-by-step explanation:

Answer:

There would be 13 less or equal to the median height.

Answer:

Step-by-step explanation:

Good luck ✅.

Answer:

The January price of the doll is same as the November price. It does not depend on the original price.

Step-by-step explanation:

- We are given with a word problem

- We are asked to find whether the January price is higher or lower or equal to the November price.

- We can do this in two steps

Step 1 : Finding the price of doll in December and January

Step 2 : Comparing them.

Step 1 of 2

Let x be the price of any doll in Tom's House.

The percentage increase in December is 25%

That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]

Then the price in December is

[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]

And the percentage decrease in January is 20%

That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December

[tex]$$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$$[/tex]

Answer:

Please see the attached image.

Step-by-step explanation:

If x > 5, it means that the value of x can take on any value that is greater than 5. Therefore, if you draw a number line, you can put a circle on the number 5 and draw an arrow pointing to the right (in the positive direction, representing all the numbers greater than 5). It is important to note that the circle you draw on the number 5 should not be shaded. This is because, according to the problem, while x can be greater than 5, it cannot equal 5. A hollow circle signifies that the value cannot equal the number circled exactly. I hope this answers your question.

Answer:

40%

Step-by-step explanation:

percent change = (new number - old number)/(old number) × 100%

percent change = (75 - 125)/(125) × 100%

percent change = -40%

A negative percent change is a decrease.

Answer: 40%

Answer:

Step-by-step explanation:

(4l = 4000ml)

100ml = $5.75

4000ml = x

cross multiply

100x = (5.75 ×4000)

100x/100 = 23000/100

x = $230