Answer with explanation:
The equation of any line with slope 'm' and passing through any point 
is given by
As we know that the general equation of a line with slope 'm' is 
Comparing with the given equation 
we can conclude slope of the given line is 
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
The angle of intersection between 2 lines with slopes 
is given by
Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes
Answer:
well I'm sure if this is entirely correct but i would say it would be 12
Step-by-step explanation:
I think it's 30 meters
I hope it helps
nshs = sshs+5
wshs = nshh + 6 = sshs + 11
So nshs + wshs + sshs = 3*sshs + 16
So sshs = 10, nshs = 15 and wshs = 21
Answer 15.
Answer:
Step-by-step explanation:
Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 20 inches
σ = 2.6 inches
the probability that a given infant is between 14.8 and 25.2 inches long is expressed as
P(14.8 ≤ x ≤ 25.2)
For x = 14.8,
z = (14.8 - 20)/2.6 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 25.2
z = (25.2 - 20)/2.6 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75
