10 hours was the full time she painted
Answer: D, When the constants are perfect squares.
Step-by-step explanation:
the “best” method whenever the quadratic equation only contains x2 terms. That implies no presence of any x term being raised to the first power somewhere in the equation.
Hopefully this helps!
I believe the answer is C
Answer:
y = 0.36x + 4200.00
15100.00 miles.
Step-by-step explanation:
If the yearly cost for driving x miles is given by y dollars then the two ordered pairs to find the linear relation between x and y are (10000,7800) and (20000,11400).
So, the equation will be
![\frac{y - 11400}{11400 - 7800} = \frac{x - 20000}{20000 - 10000}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%2011400%7D%7B11400%20-%207800%7D%20%3D%20%5Cfrac%7Bx%20-%2020000%7D%7B20000%20-%2010000%7D)
⇒ ![\frac{y - 11400}{3600} = \frac{x - 20000}{10000}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%2011400%7D%7B3600%7D%20%3D%20%5Cfrac%7Bx%20-%2020000%7D%7B10000%7D)
⇒ ![y - 11400 = \frac{9}{25}(x - 20000)](https://tex.z-dn.net/?f=y%20-%2011400%20%3D%20%5Cfrac%7B9%7D%7B25%7D%28x%20-%2020000%29)
⇒ ![y - 11400 = \frac{9}{25}x - 7200](https://tex.z-dn.net/?f=y%20-%2011400%20%3D%20%5Cfrac%7B9%7D%7B25%7Dx%20-%207200)
⇒
⇒ y = 0.36x + 4200.00 ........... (1) (Answer)
Now, for y = $9636.00, from equation (1),
9636 = 0.36x + 4200
⇒ 0.36x = 5436
⇒ x = 15100.00 miles. (Answer)
Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.