Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = 
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y =
From the given equation; slope is 
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = 
Since y= 9 and x = -7;
So;
9 = 
+ C
9 = 
+ C
C = 9 - = 
Now,
y = x +
mulitply through by 5;
5y = -2x + 31
Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}
How many numbers have we here? 10.
How many of these numbers are odd? {25, 27, 29, 31, 33}
Strictly speaking, "between 24 and 33" does not include {24, 33}.
Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}
The chances of drawing an odd number between 24 and 33 are then 4 / 10.
If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}
and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
Answer:
3.745 kg
Step-by-step explanation:
Answer:
A sample of 499 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is given by:
In this question, we have that:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03
We need a sample of n, which is found when 
. So
Rounding up
A sample of 499 is needed.
Answer:
6 cubic cm
Step-by-step explanation:
3 · 3 · 2 = 18
18 · 1/3 = 6
