4/3
1.3 repeating
1 1/3
These are all correct. To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one. Or just use a calculator lol.
Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.
volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3
Now let's double it
volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3
So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3
3.5 x 8 = 28 m^3
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
X - (35 + 8) = y
x = original amount in bank
y = new amount in bank
