Answer:
Step-by-step explanation:
All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.
First you do parenthesis, , when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get,
After that, you do the rest of the exponents as well as multiplication, .
Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together.
Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, ends up being equal to 1296 which means that is the correct answer.
Step-by-step explanation:
we have two lines you have to draw.
one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).
the easiest is for x>5. the line function is only
f(x) = y = 3
so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).
and for x<=0 the line
f(x) = y = 4x - 3
goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.
so, the starting point (with a full dot, as x=0 is included) is (0,-3).
from there it goes sharp down and a little bit to the left.
for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).
the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.
Answer:
15
Step-by-step explanation:
F/6=2.5 you are going to multiply 2.5 to 6
Answer:
so find 4% of 145 which is 5.8 then subtract 5.8 from 145 to get 139.2
Step-by-step explanation:
Answer:
The 95% confidence interval for the measurements is [48.106, 53.494].
Step-by-step explanation:
The average M of this sample is
The standard deviation s of this sample is
The degrees of freedom are
Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.
The margin of error of the CI is:
Then, the lower and upper bounds of the CI are:
The 95% confidence interval for the measurements is [48.106, 53.494].