The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)
Answer:
A
The value is 
B
The value is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is n = 25
Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as


=> 
From the z table the area under the normal curve to the left corresponding to -0.6364 is

=> 
Generally the standard error of mean is mathematically represented as

=> 
=> 
Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

=> 
From the z table the area under the normal curve to the left corresponding to -3.1818 is
=> 
=> 
Answer:
0.27
Step-by-step explanation:
5%of 5.40
=(5/100) *5.40
=$0.27
we know that
The measure of the external angle is the semidifference of the arcs that it covers
so
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
Let
x------> minor arc MN
major arc MN=360-x
substitute in the formula above
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x
x=104.14°
therefore
the answer is
the measure of arc MN (minor arc) is 104.14°
Answer:
55
Step-by-step explanation:
Add the numbers 5 + 8 and you get 13. Multiply 13 x 2 which is 26. Add 33 + 26 and you get 59. Then, subtract it by 4 and you get 55.