I think there is a 25% chance to a 37% chance you'll get an orange hat
Answer:
3x(2x - 3)
Step-by-step explanation:
Given
y = 6x² - 9x ← factor out 3x from each term
= 3x(2x - 3)
Answer:
Step-by-step explanation:
Let the cost of one soft taco = s
Let the cost of one burrito = b
So we have this system
3s + 3b = 11.25
4s + 2b = 10.00 (1)
Divide the first equation through by 3 and we have that
s + b = 3.75 subtract b from both sides
s = 3.75 - b (2)
Sub (2) into (1) and we have
4 (3.75 - b) + 2b = 10.00 simplify
15 - 4b + 2b = 10.00
-2b + 15 =10.00 subtract 15 from both sides
-2b = - 5.00 divide both sides by -2
b = 2.50
And using (2)
s = 3.75 - 2.50 = 1.50
So... a soft taco 1.50 and a burrito is 2.50
Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.

The standard error of the proportion is:

The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 96% confidence interval for the population proportion is (0.77, 0.83).