Answer:
m = 0
Step-by-step explanation:
<u>If two lines are parallel, their slopes are equal. </u>
The slope of x - axis is 0
(why?)
because, slope of a line is given by
Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
<u> </u>
Answer:
m = -1/6.
b = 5.
Step-by-step explanation:
Slope m = (3 - 6) / (12 - -6)
= -3 / 18
= -1/6.
y = -1/6 x + b
when x = 12 y = 3 so
3 = -1/6 * 12 + b
b = 3 + 2 = 5.
Answer:
Cutoff for a failing score is 49 and 2.28% students failed.
Step-by-step explanation:
We have been given that scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 4.
2 standard deviation below mean would be,
Therefore,Cutoff far a failing score is 49.
Now let us find out the z-score for our given values,
Now let us look up the probability from normal distribution table.
Therefore, percentage of students failed is 2.28%.
Answer:
1. $685 - ( $273 + $119 )
2. $273 + $119
3. $293
Step-by-step explanation:
It is given that,
Vanessa initially has $685.
Vanessa spent $273.
Vanessa donated $119.
1. So, we get that, the expression for the money she was left with is,
Vanessa is left with $685 - ( $273 + $119 ).
2. Since, before subtracting the amount Vanessa spent, we need to calculate the total expense she had.
Thus, the hidden calculation is $273 + $119.
3. We have the problem given by, $685 - ( $273 + $119 ) = $685 - $392 = $293.
Thus, Vanessa is left with $293.
The bar graph for the given problem is shown below.
