Answer:
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
One-sixth x + 47
Step-by-step explanation:
The original expression in the problem is
We need to expand this expression. First, we apply the distributive property and we multiply each of the numbers outside the bracket by each term in the brackets:
Now we can rewrite this expression in several ways. For instance, we can rewrite the two fractions as mixed fractions, and we get:
Also as
And now we add together the similar terms (those in x and those without x), and we find:
So the three options are
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
One-sixth x + 47
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is
The sample size is n = 56
The sample mean is
The standard deviation is
The null hypothesis is
The alternative hypothesis is
Generally the test statistic is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the z-table
So
From the value we obtain we see that
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Answer:
A)4
Step-by-step explanation:
Assuming all edges are integral values
The most basic right angles triangle with integral edges is
(3,4,5)
as it obeys pythogores theorem
which is
Now, double each edge,it will still remain a right angled triangle since it will still obey pythogores theorem
so the edges are (4,6,10)
⇒4 cm is the short leg of a integral right triangle with hypotenuse 10 cm
Answer:
Explanation:
Volume of carton = Length × Width × Height
Here volume:
rewrite in improper fraction
join fractions
multiply
simplify
rewrite in mixed fraction