Answer:
x = 14, y= -3
Step-by-step explanation:
Solve the following system:
{2 x + 8 y = 4 | (equation 1)
{x = 5 - 3 y | (equation 2)
Express the system in standard form:
{2 x + 8 y = 4 | (equation 1)
{x + 3 y = 5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 8 y = 4 | (equation 1)
{0 x - y = 3 | (equation 2)
Divide equation 1 by 2:
{x + 4 y = 2 | (equation 1)
{0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{x + 4 y = 2 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{x+0 y = 14 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: x = 14, y = -3
Answer:
- f(4) = -12
- f(-2) = -6
- f(2) = -10
- f(0) = -8
- f(-3) = -5
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
Personally, I find it easier not to deal with so many minus signs. I would rewrite the function to ...
f(x) = -(8 +x)
I find it easier to evaluate the series of argument values when they are in increasing order. This serves as a check, because we expect the function values to be in decreasing order.
f({-3, -2, 0, 2, 4}) = -(8 +{-3, -2, 0, 2, 4}) = -{5, 6, 8, 10, 12} = {-5, -6, -8, -10, -12}
- f(4) = -12
- f(-2) = -6
- f(2) = -10
- f(0) = -8
- f(-3) = -5
_____
As always, for repetitive evaluation of the same function, a spreadsheet or graphing calculator is a handy tool.
Answer:
Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%
Step-by-step explanation:
Let X the random variable of interest "number of bridges in the sample are structurally deficient", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And if we use the probability mass function and we replace we got:
Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%