Answer:
0
Step-by-step explanation:
-8(5n+3)=-4(-8n+6)
- 40n - 24 = 32n - 24
- 24 + 24= 32n +40n
72n =0
n = 0
Answer:
H0 : flavor and serving size are independent
H1: Flavor and serving size are not independent
Step-by-step explanation:
The claim or hypothesis is to test if there is a relationship between the different types of flavor (vanilla, strawberry and chocolate) and the size (large, medium and. Small) being ordered. This is the the Alternative hypothesis, in other words to establish that flavor type and size are not independent, (that is the two variables are correlated).
The Null hypothesis will be the opposite of the alternative, establish that both variables are independent.
Hence ;
Null hypothesis ; H0 : flavor and serving size are independent
Alternative ; H1: Flavor and serving size are not independent
Answer:
6.25-1.75
Step-by-step explanation:
Step-by-step explanation:
Monique had 6 dollars. She found 25 cents and then bought a book
25 cents = 0.25 dollars
Total dollar she had= 6 + 0.25= 6.25 dollars
Let x be the cost of a book
She ended up with 7 quarters. Convert quarter into dollars
1 quarter = 0.25 dollars
7 quarters = 7 times 0.25=1.75 dollars
So she ended up with 1.75 dollars
Amount she had at the beginning - the cost of book = amount ended up
Number of dollars spent on the book = Amount she had - amount ended
Number of dollars spent on the book=
6.25-1.75
Answer:
70 is answer
Step-by-step explanation:
Given that a function in x is
![f(x) = 5x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x%5E2)
we have to find f'(7)
we know by derivative rule derivative of a function is
![f'(x) = lim_({h-->0}) \frac{f(x+h)-f(x)}{h}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20lim_%28%7Bh--%3E0%7D%29%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D)
For finding out at 7 we replace x by 7
![f'(7) = lim_({h-->0}) \frac{f(7+h)-f(7)}{h}](https://tex.z-dn.net/?f=f%27%287%29%20%3D%20lim_%28%7Bh--%3E0%7D%29%20%5Cfrac%7Bf%287%2Bh%29-f%287%29%7D%7Bh%7D)
=![lim\frac{5(7+h)^2-5*7^2}{h} \\= lim \frac{10h*7+h^2}{h} \\= 70+h = 70](https://tex.z-dn.net/?f=lim%5Cfrac%7B5%287%2Bh%29%5E2-5%2A7%5E2%7D%7Bh%7D%20%5C%5C%3D%20lim%20%5Cfrac%7B10h%2A7%2Bh%5E2%7D%7Bh%7D%20%5C%5C%3D%2070%2Bh%20%3D%2070)
So f'(7) = 70
answer is 70