So we factor out the number and find the number in both numbers so
117=3*3*13
351=3*3*13*3
so the greatest common factor of 117 and 351 is 3*3*13=117
35=7*5
149=prime=149 (prime means no whole factors)
Simplify terms, then move the terms over so 'y' is by itself.
-7y-0.6=3.6-y
-0.6-3.6=-y+7y
-4.2=6y
y=-4.2/6
y= -0.7
4.4
Step-by-step explanation:
X is inversely proportional to y, so x = k/y where k is just a constant.
X is directly proportional to z squared, so x = kz^2 where k is a constant
Here, The second relationship doesn't even matter.
Plug the values for x and y into the first equation and solve for k.
5.5=k/4
k=5.5*4
k=22
Now plug k and the second y back in.
x=22/5
x=4.4
Answer:
a: The mean of 800 customers per day
b: See below
c: z = -1.43
d: 0.0764
e: Fail to reject the null
Step-by-step explanation:
b: The hypotheses are:
H0: µ = 800
HA: µ < 800 (claim)
The mean number of daily customers was 800. She feels the number of customers has decreased, so the alternate is mu is less than 800.
c: See attached photo for the calculation of the test statistic
d: The probability is on the z table. Find the decimal that corresponds to the z-value of -1.43, which is: 0.0764
e: Since 0.0764 > 0.05, we fail to reject the null hypothesis. There is not enough evidence to support the claim that the number of customers visiting the dealership has decreased.