Answer: 1/2 and 3/6
Explanation: 1/2 is equal to 3/6 because if you divide both 3 and 6 by 2 it’s 1/2
Not sure about 4
22 Liter Ryan drinks 22 liters
Lets make the cost of the algebra textbook = x and the cost of the geometry book = y
2x+3y=64
4x+2y=66
now we get one of these equations in terms of one variable
2x+3y=64 ---> 2x=64-3y ---> x=32-1.5y
now we can plug that numeric value back into the other equation
4(32-1.5y)+2y=66
we can now simplify this equation in order to get the value of y
4(32-1.5y)+2y=66 ---> 128-6y+2y=66 ---> 128-4y=66 ---> -4y=-64 ---> y=16
Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
Step-by-step explanation:
getcalc.com's fraction to decimal calculator to find what's an equivalent decimal for the fractional number 48/400.
50/400 0.125 12.5%
49/400 0.1225 12.25%
48/400 0.12 12%
47/400 0.1175 11.75%