Answer:
78
Step-by-step explanation:
The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78
Answer:
1
Step-by-step explanation:
Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.
You can even reason that the acute angle is 45° and sin(x)=cos(x) =
.
So just convert to a common form
I will convert to decimal since 2 of them are already decimals
to conver 1 and 3/7 to decimal, just divide 3 by 7 using a calculator
1 3/7=1.43...
so 1.38, 1.43, 1.40
the greates is .43 then .40 then .38 so the order is
least to greatest
1.38, 1.4, 1 3/7 or D
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached