7. y=-3/2x+8 (3rd answer choice)
substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b
so equation would be...
y=-3/2x+8 (3rd answer choice)
8. y=-5x-17 (2nd answer choice)
substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
-17=b
so the equation would be...
y=-5x-17 (2nd answer choice)
check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))
Probability is expressed as
number of favourable outcomes/total number of possible outcomes
Looking at the given scenario, the number os students that earned a grade of A is 5. Since we are concerned with these students, then, the number of favourable outcomes is 5.
The total number of students for all grades is 35. This means that the total number of possible outcomes is 35
Thus, the probability that a student earns a grade of A is
5/35
= 0.14
<span>1/3(21-3a)=6-a
I simplified the equation to the form, which is simple to understand
<span>1/3(21-3a)=6-a
Simplifying:
<span> + 0.333333333333*(21-3a)=6-a
Reorder the terms in parentheses
<span>+(+7-1a)=6-a
Remove unnecessary parentheses
<span>+7-1a=+6-a
We move all terms containing a to the left and all other terms to the right.
<span>-1a+1a=+6-7
We simplify left and right side of the equation.
<span>a=-1
<span>0=-1
The left and right sides are not equal, therefore there is no solution. This equation is invalid
Hope this helped
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You would multiply all of the numbers to get your answer so it would be 4*5*6*8 which would get you 960.
The value of the z score is 1.03.
According to the statement
we have given that the value of mean and standard deviation and we have to find the value of the z score.
So, For this purpose we know that the
Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And the given values are:
mean value = 69 inches
s.d value = 2.8 inches
And the value of x is 71.9 inches.
So, The Z score is
z = x - mean / standard deviation
substitute the values in it then
z = 71.9 - 69 / 2.8
then
z = 2.9 /2.8
z = 1.03
So, The value of the z score is 1.03.
Learn more about Z Score here
brainly.com/question/25638875
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