Answer:
-2.90625
Step-by-step explanation:
Given the polynomial function
P(x) = x^5-x^4+x^3-3
If c = 1/2
At x = c
P(1/2) = (1/2)^5-(1/2)^4+(1/2)^3-3
P(1/2) = 1/32 - 1/16 + 1/8 - 3
P(1/2) = 1-2+4-96/32
P(1/2) = -93/32
P(1/2) = -2.90625
Hence P(c) is -2.90625
Step-by-step explanation:
the area of a triangle is always
baseline × height / 2
where baseline and height are perpendicular (with a 90° angle) to each other.
it does not matter, if the height is inside or outside of the triangle.
so, in our case the area is
4×5/2 = 2×5 = 10 units²
Answer:
The correct order is :
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
Y = -x + 3
y = 3/2x - 2
-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2
y = -x + 3
y = -2 + 3
y = 1
solution is (2,1)
