24 students made an A in the last arithmetic test.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.
Given, Three out of 4 students made an A on the last arithmetic test.
out of 4 students, the student gets an A = 3
out of 1 student get A = 3/4
Since there are 32 students in total
out of 32 students, the student gets A = 3/4 * 32
out of 4 students, the student gets an A = 24
therefore, out of 32 students, there are 24 students who got A's.
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Answer:
a base or radix is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system.
Step-by-step explanation:
Hey there!
Let's use 3.14 for pi during this. It'll make it a lot easier.
The volume for a cone is .
The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.
17.6 ÷ 2 = 8.8
The height of this cone is 23.4 inches.
Plug the values into the equation.
Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.
Multiply the numbers together.
The volume of this cone is approximately 1896.66 cubic inches.
Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.
Formula for finding the area of a trapezoid is
The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.
Add 10 and 34, then multiply it by 24.7 and 1/2.
a = 543.4
Multiply that value by 19, which is the depth of the figure.
The volume of the prism is 10324.6 cubic feet.
The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.
The formula for the area of an equilateral triangle, which is the base, is
The length of the side is 12, so we can square that to get 144.
Now multiply that by to get the area of the base.
The area of the base is about 62.35 square meters.
The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.
v = 1/3 x 62.35 x 20
Multiply the numbers together to get the volume.
The volume of the pyramid is approximately 415.67 cubic meters.
Hope this helps!
Answer:
Step-by-step explanation:
The ways we can get "1 counter to be white out of 2 draws" is:
1. If 1st one taken out is white and next one different color, and
2. If 2nd one taken out is white and 1st one different color
In probability, AND means MULTIPLY and OR means ADD
Here, we are actually looking for ways of 1st one white, next one different OR first one different and next one white. Let's find them separately.
1. If 1st one taken out is white and next one different color
there are 6 white and 10 total, so 1st one white is 6/10
not replaced, so now there are 9 total and 4 of them are different,so different probabililty is 4/9
We multiply these two to get: 6/10 * 4/9 = 4/15
2. If 2nd one taken out is white and 1st one different color
probabilty 1st one different color is 4/10 since 4 are different and we have total of 10
since not replaced, now we have 9 total and still 6 white.
probability of white in 2nd draw is 6/9
We multiply these two to get: 4/10 * 6/9 = 4/15
Now we add these 2 as stated earlier, so 4/15 + 4/ 15 = 8/15
Answer:
Step-by-step explanation: