3 people paying $108 evenly. i am doing rational numbers and i dont understand it at all
1 answer:
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Using the slope concept, it is found that:
- The minimum horizontal distance is of 14,281.5 feet.
- The maximum horizontal distance is of 15,398.6 feet.
- The slope is given by the <u>vertical change divided by the horizontal change</u>.
- It's also the tangent of the angle of depression.
In this problem, the vertical change is the altitude of 10,000 feet.
The minimum horizontal distance is with an angle of 35º, hence:
The maximum horizontal distance is with an angle of 33º, hence:
You can learn more about the slope concept at brainly.com/question/22568180
a) Probability of both being males is 27%
b) Probability of both being females is 23%
c) Probability of having exactly one male and one female is 50%
Step-by-step explanation:
a)
The probability that the birth is a male can be written as
(which corresponds to 52%)
While the probability that the birth is a female can be written as
(which corresponds to 48%)
Here we want to calculate the probability that over 2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:
And substituting, we find
So, 27%.
b)
In this case, we want to find the probability that both children are female, so the probability
As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:
And substituting
We find:
Which means 23%.
c)
In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:
- The probability that 1st child is a male and 2nd child is a female, namely
- The probability that 1st child is a female and 2nd child is a male, namely
So, this probability is
We have:
Therefore, this probability is
So, 50%.
Learn more about probabilities:
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