How do you write the product of 58 and a number as an algebraic expression?
1 answer:
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1) 1/8
2) 1/2
Step-by-step explanation:
1)
First of all, we notice that the spinner is divided into 8 sections of equal size.
So the number of sections is
n = 8
Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.
The probabilty of a certain event A to occur is given by
where
a is the number of successfull outcomes (in which A occurs)
n is the total number of possible outcomes
Here we want to find
= probability that the spinner lands on section 7
Here we have:
(only 1 outcome is successfull: the one in which the spinner lands on section 7)
Therefore, the probability is
2)
Here we want to find the probability that the spinner lands on an even numbered section.
As before, the total number of possible outcomes his:
which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8
The even-numbered sections are:
2, 4, 6, 8
So, the number of successfull outcomes is
Because there are only 4 even-numbered sections.
Therefore, the probability that the spinner lands on an even numbered section is:
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
and
That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.