There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft
A certain amount of money is shared in a ratio 2:3:9. If the difference between the first and second shares is $40, then the amo
1 answer:
Answer:
The amount of money shared is 360
Step-by-step explanation:
We are given that A certain amount of money is shared in a ratio 2:3:9.
Let x be the ratio
So, Shares of amount = 2x,3x and 9x
We are given that the difference between the first and second shares is $40
So, Shares are :
2x=2(40)=80
3x=3(40)=120
4x=4(40)=160
So,Total amount = 80+120+160=360
Hence the amount of money shared is 360
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Answer:
P = 0.300 or 30%
Step-by-step explanation:
There are two possibilities for a player to test positive:
1-) He does not take steroids (95%) with a 12% chance of testing positive:
P= 0.95 x 0.12
2-) He does take steroids (5%) with a 98% chance of testing positive:
P= 0.05 x 0.98
So the probability that a player tests positive is:
P = 0.95 x 0.12 + 0.05 x 0.98 =0.163
Therefore, the probability that a soccer player who tests positive takes steroids is:
Let's solve this problem. We know the equation of <span>the height of the ball that is:
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Where x represents </span><span>the horizontal distance in yards the ball has traveled in the air. We know that a distance is always positive, so we conclude that x must be greater or equal than 0, so:
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The horizontal plane represents the zero of the function, given that there is no possibility for the ball to get negative values, then
is also positive. Finally, from the graph, the appropriate domain is:
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</span>
<span>
Where x represents </span><span>the horizontal distance in yards the ball has traveled in the air. We know that a distance is always positive, so we conclude that x must be greater or equal than 0, so:
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The horizontal plane represents the zero of the function, given that there is no possibility for the ball to get negative values, then
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Answer:
a)
b)
c)
So then we have:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
For this case we want this probability:
Part b
For this case we want this probability:
And using the probability mass function we got:
Part c
For this case we want this probability:
And we can use the complenet rule and we got:
So then we have: