Answer:
405
Step-by-step explanation:
324 seniors is 4/5 of all seniors. To find how many 5/5 of the seniors is, we find 1/5 and multiply it by 5. Since 4/5 is 4 times 1/5, divide 324 by 4. The answer is 81, which is 1/5 of the seniors. Multiply 81 by 5 to get all 5/5. 81 * 5 is 405
(1)
(f+g)(x) = 6x^2+2x-7+4x-3=6x^2+6x-10
(f-g)(x)=6x^2+2x-7-4x+3 = 6x^2-2x-4
(2)
(f+g)(x)=2x-3x+1-2x=-3x+1
(f-g)(x)=2x-3x-1+2x=x-1
Answer:
The probability that the next room will require less than 32 minutes to clean
0.222222 = 22.22%
The probability that the next room will require more than 30 minutes to clean.
0.833333 = 83.33%
The mean
36.5
Standard deviation of the distribution
26.92
Step-by-step explanation:
Total Probable Outcomes = 18
Event 1
Possible outcomes less than 32 = 32-28 = 4
Probability less than 32 = 4/18 = 2/9 = 0.222222
Event 2
Possible outcomes less than 32 = 45-30 = 15
Probability less than 32 = 15/18 = 5/6 = 0.833333
Mean
Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5
Standard deviation of the distribution
*MS Excel file is attached for solution.
Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:
16 cups
-----------
1 gallon
this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.
16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons
I can cross multiply to find x.
1 gallon • x cups = 16 cups • 1/4 gallons
16 times 1/4 is the same as 16/4, which equals 4.
1 gallon • x cups = 4 cups gallons
divide both sides by gallons
x cups = 4 cups
so! 1/4 of a gallon equals 4 cups.
