Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that
Number of years of education = 12 years
Number of minutes a week = 2000
As we have
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = 
12 years = 
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = 
16 years =
minutes
So, the predicted difference in sleep between individuals A and B is given by

Hence, the predicted difference in sleep is 1251437 minutes.
I can only use math to explain it. What is 100%?
100% =
percent means per 100.
so 120% = 120/100 = 1.2
120% of a whole number. For example 120% * 10 =

= 12
is it greater than 10.
Answer:
a) (-2,2), (-1,-1), (1,-1), (3,7)
b) x=1.4
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3