What goes into 70 and 95 is 5
Answer:
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
It would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Step-by-step explanation:
We have these following probabilities.
A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so .
In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. is the probability that the person is a male, given that he/she jogs. So
The Bayes theorem states that:
In which is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.
So
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
A probability is unusual when it is smaller than 5%.
So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function , where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula , we will find the x-coordinate of vertex of parabola as:
Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer:
4 sides
Step-by-step explanation:
A lot of math is about pattern matching. Here, you're asked if sides are the same length (one side matches another), if there are right angles (square corners), and if the number of angles or sides is 4.
You might make the observations ...
<u>pink</u>: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.
<u>orange</u>: all 4 sides are congruent and at right angles
<u>blue</u>: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.
<u>green</u>: 2 pairs of parallel sides that are the same length--4 sides and 4 right angles. Adjacent sides are different length.
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The only feature in common is "4 sides."