We have been given an expression 
. We are asked to find the value of A when rewrite our given expression as 
.
To solve our given problem, we will use exponent properties.
Using exponent property 
, we can rewrite our given expression as:
Now, we will compare our expression with .
Upon comparing 
with , we can see that 
.
Therefore, the value of A is 
.
We can further simplify as:
Answer:
Null hypothesis = H0 : μ = 60
Alternative hypothesis = H1 : μ < 60
Step-by-step explanation:
From the question given :
μ = 60 minutes
xbar = 44.27 minutes
s = 20.4 minutes
The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)
The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.
The hypothesis are :
H0 : μ = 60
H1 : μ < 60
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
Answer:
$11.40, is the actual price, so no
Step-by-step explanation:
If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80
~Akmp10
