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.
Answer:
is the equivalent expression as is equal to .
Step-by-step explanation:
Considering the expression
As we know that
- Like terms are said to be the terms which hold the same variables raised to the same power.
- For example, and are like terms as they contain the same variable raised to the same power.
Lets solve the expression
Therefore,
is the equivalent expression as is equal to .
Keywords: equivalent expression, like terms
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Answer:
What is the objective to answer the question? Is it how much they will get?
Answer:
d(1) = -3 and d(2)= -28
Step-by-step explanation:
Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point
For finding out the distances for x=1 and x=2
let us substitute 1 and 2 for x
d(1) = -3 and d(2)= -28
The volume of a cone is 84.78 cm
<u>Step-by-step explanation</u>:
<u>Given</u>:
radius = 3 cm and
height = 9 cm
<u>To Find</u>:
The Volume of a Cone
<u>Formula</u>:
The Formula for the volume of a cone is
V=πr2 *h/3
<u>Solution</u>:
V=πr2 *h/3
π value is 3.14
V= 3.14*(3)^2*9/3
V=3.14*9*3
V= 84.78 cm
Therefore the volume is 84.78 cm.