6/25 is the answer as a simplified fraction
Answer:
(-2, 5), (-2, -19), (5.2, 2.6)
Step-by-step explanation:
You can add ±12 to either the x- or the y-coordinate, as was done in the first two answers above.
Or, you can figure the side lengths of a triangle with hypotenuse 12 and add those to the coordinates. For example, a 3-4-5 right triangle multiplied by 2.4 will have side lengths of 7.2, 9.6 and a hypotenuse of 12. Hence we can find one of your end points to be ...
(-2+7.2, -7+9.6) = (5.2, 2.6)
Answer:
i d k
Step-by-step explanation:
i am sorry
Answer:
The equation of the plane is represented by
.
Step-by-step explanation:
Algebraically speaking, a plane can be represented by following vectorial product:
(1)
Where:
,
,
- Plane coeffcients.
,
,
- Coordinates.
We need three distinct points to determine all coefficients. If we know that
,
and
, the system of equations to be solved is:
(1)
(2)
(3)
The solution of this system is
,
,
.
Hence, the equation of the plane is represented by
.
<h3>
Answer: -0.196</h3>
======================================================
Explanation:
We're conducting a one proportion Z test.
The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.
The sample population proportion is
phat = x/n = 41/79 = 0.518987 approximately
The standard error (SE) is
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.53*(1-0.53)/79)
SE = 0.056153 approximately
Making the test statistic to be
z = (phat - p)/(SE)
z = (0.518987 - 0.53)/0.056153
z = -0.19612487311452
z = -0.196
Which is approximate and rounded to 3 decimal places.