Answer:
Step-by-step explanation:
Data given
20 13 21 18 19 22 19 15 12 12 18 21
We can calculate the sample mean and deviation with the following formulas:
And we got:
represent the sample mean
population mean (variable of interest)
s=3.61 represent the sample standard deviation
n=12 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
Since the Confidence is 0.90 or 90%, the significance is and , the critical value would be given by
Now we have everything in order to replace into formula (1):
For this case, the first thing you should do is observe the solution set.
We have then that the set of solution is given by:
(-inf, -4) U [3, inf)
Therefore, we have:
For (-inf, -4):
x <-4
For [3, inf):
x ≥ 3
Thus, the inequality in the graph is:
x <-4 and x ≥ 3
Answer:
x <-4 and x ≥ 3
y=total amount of money
x=# of toppings
At JOES PIZZA
Large cheese- $0.25 per topping + base fee of $10
equation- y=0.25x+10
At SAMS PIZZA
Large Cheese- $0.50 per topping + base fee of $8
equation- y=0.5x+8
SYSTEM OF EQUATIONS
y=0.25x+10
y=0.5x+8
lets try 8 toppings first
y=0.25(8)+10
y=2+10
y=12
y=0.5(8)+10
y=4+10
y=14
8 does not work
lets try 1.5 topppings next
y=0.25(1.5)+10
y=0.375+10
y=10.375
y=0.5(1.5)+8
y=0.75+8
y=8.75
1.5 does not work
lets try 4 toppings next
y=0.25(4)+10
y=1+10
y=11
y=0.5(4)+8
y=2+8
y=10
4 does not work
finally 12 must work
y=0.25(12)+8
y=3+8
y=11
y=0.5(12)+8
y=6+8
y=14
we got y=11 for the first equation with 12 toppings y=11 for the first equation with 4 toppings
12+4=18
12 toppings at joes and 4 at sams i believe
Answer:
150x÷×÷320y
Step-by-step explanation:
it's hard to tell in writing I can speak it but