-2/5=4-2x/5
-4 2/5=-2x/5
-22=-2x
x=11
Are you sure that y=4-2x/5 is the equation
77 because you have to find what’s equivalent first
Answer:
The answer is in the explanation
Step-by-step explanation:
Mean value = 
= 438
(a) The data appeared to be centered towards 438.
There are little or no skew.
There is no outliers.
(b) yes
(c) standard deviation = s = 14.8955
95% confidence interval = 
=
= (430.3415, 445.6585)
(d) Test statistic
t = 
t = -3.3216
p -value is correctly given in option b.
No, 450 is not a plausible valaue.
Answer:
Step-by-step explanation:
What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.
in order to find this we have to split each number into it's prime components.
for 12 they are 2,2 and 3 (
2
⋅
2
⋅
3
=
12
)
and for 15 they are 3 and 5 (
3
⋅
5
=
15
)
Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.
Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:
12
3
=
4
girls per group, and
15
3
=
5
boys per group.
(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [
2
⋅
2
] of 3 girls [12/4] and 4 boys [16/4] )
Answer: 18
Step-by-step explanation:
First we need to solve for x to find the measure of the adjacent angle.
-6x+64 = 8x + 162
subtract 162 to leave x by itself
-6x- 98 = 8x
add 6x to both sides
-98 = 14x
now divide by 14
x = -7
Now solve one of the given equations to find the measure of the adjacent angle.
8(-7)+162
-56 + 162 = 106
Meaning the measure of angle 8 is 18
because they'll add up to 180(The measure of the line)
