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Zolol [24]
3 years ago
10

there are 7 white, 4 blue and 3 red marbles in the box. we are randomly taking marbles one by one (without returning in the box)

. what is probability of taking the white marble before the red marble? thanks
Mathematics
1 answer:
EastWind [94]3 years ago
5 0
It is probable its 25%
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Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?
serious [3.7K]
<h3>Answer:</h3>

4.5% annually

<h3>Step-by-step explanation:</h3>

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

  • 122.50 = 100(1+r*5)

Divide both sides by 100

  • 1.225 = 1 + r*5

Subtract 1 from both sides

  • 0.225 = r*5

Divide both sides by 5

  • 0.045 = r

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

5 0
2 years ago
If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?
katrin [286]

Answer:

\large\boxed{\dfrac{3(6)-1}{2(6)+1}}

Step-by-step explanation:

\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}

6 0
2 years ago
A sphere-shaped water balloon can extend to a diameter of 3.5 inches before it explodes.
ollegr [7]
Volume of a spehere=(4/3)πr³

Data:
diameter=3.5 in
π=3.14

1)we calculate the radius:
r=diameter/2=3.5 in / 2=1.75 in

2) we calculate the volume of this sphere:
volume=(4/3)*3.14*(1.75 in)³=22.4379...in³≈22.44 in³.

Answer: 22.44 in³
5 0
3 years ago
Read 2 more answers
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
25 is what percent less than 35
mars1129 [50]
Difference between 25 and 35 = 35 -25
                                                 = 10
Then
percentage by which 25 is less than 35 =(10/35) * 100
                                                                 = (2/7) * 100
                                                                 = 200/7
                                                                 = 28.57 percent
So 25 is 28.57% less than 35.This is the only clear way of solving these kind of problems. I hope you have understood the method used to solve this problem. Hopefully you can do such type of problems without needing any help.
8 0
3 years ago
Read 2 more answers
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