If every shelf has the same amount of books, then it can be seen as proportional because one shelf has 43 and 2 have 86, and it keeps going up in a consistent way.
so 43/1 = 86/2 .
Happy studying ^-^
Answer:
17/6 or 2 5/6 gallons of paint
Step-by-step explanation:
First, do 17/6= 2 5/6.
That's really all, but I can't help you with the number line because of no attachment, but just put it on the part where it says 17/6 or 2 5/6.
Hope this helped!
Answer:
<h3>x = -3</h3>
Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Answer:
a)
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:

Part b
The p value would be given by this probability:

Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Answer:
34
Step-by-step explanation:
H(x) = 4x-2
H(-9) = 4(9)-2
H(-9) = 36 -2
H(-9) = 34