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aliyahgregory
30.08.2019 •
Mathematics
Complete the point slope equation of line through (1,-1) and (5,2) use exact numbers
)=
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Ответ:
slope = (2 - (-1) / (5 - 1) = 3/4
there will be 2 point slope answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
(1,-1)...x1 = 1 and y1 = -1
sub
y - (-1) = 3/4(x - 1)
y + 1 = 3/4(x - 1) <=== this is one of them
y - y1 = m(x - x1)
slope(m) = 3/4
(5,2)...x1 = 5 and y1 = 2
sub
y - 2 = 3/4(x - 5) <== here is the other one
Ответ:
The probability of getting zero heads in six tosses is 0.015625.
The probability of getting exactly two heads in six tosses is 0.234375.
Step-by-step explanation:
Using the Minitab software for computing the desired probabilities.
We take n=6 and p=1/2 because we have six tosses and in binomial distribution the probability of success p remains constant in each trial whereas the probability of success in this case is getting heads.
When a coin is tossed then there are two possible outcomes head or tail.
So,
p= P(heads)=1/2=0.5
The probability of getting zero heads in six tosses is computed by considering the following steps:
In Minitab
Calc >Probability Distributions > Binomial
Select n=6 and p=0.5 and select input constant=0 and bubble the probability and by clicking OK we get the following output:
Probability Density Function
Binomial with n = 6 and p = 0.5
x P( X = x )
0 0.015625
So, the probability of getting zero heads in six tosses is 0.015625.
The probability of getting exactly two heads in six tosses is computed by considering the following steps :
In Minitab
Calc >Probability Distributions > Binomial
Select n=6 and p=0.5 and select input constant=2 and bubble the probability and by clicking OK we get the following output:
Probability Density Function
Binomial with n = 6 and p = 0.5
x P( X = x )
2 0.234375
So, the probability of getting exactly two heads in six tosses is 0.234375.