the area of the surface of the swimming pool is 210 feet . what is the length d of the deep end ( in feets )?
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Given
randomly selecting a male
randomly selecting someone with blue eyes
Solving (a): Interpret P(M|B)
The above implies conditional probability
The interpretation is: the probability of selecting a male provided that a person with blue eyes has been selected
Solving (b): is (a) the same as P(B|M)
No, they are not the same.
The interpretation of P(B|M) is: the probability of selecting a person with blue eyes provided that a male has been selected
Answer:
0.6856
Step-by-step explanation:
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (108,
= 20)
Using Z scores:
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line
Substituting values we get,
Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found