Answer:
Square
Step-by-step explanation:
Take a look at the attachment below. We need to apply the distance formula to derive the distance between points (0, 3), (3, 0), (0, - 3), (-3, 0). We can right away note that the sides of the quadrilateral created from these points are congruent. How so?
Again, taking a look at the attachment, you will see that this quadrilateral is named. Take side AB as an example. It forms a right triangle with the x and y - intercepts, the legs of lengths 3 and 3 units. AB is the hypotenuse. Respectively sides BC, CD, and AD each are the hypotenuse of their own mini triangle with legs of 3 units each! From this we can conclude that, by Pythagorean Theorem, AB = √18 = BC = CD = AD.
All sides are congruent, so the shape must be a square!
Y=-3/4.5-3. You can get this by plotting the points on a graph and using the rise(how far up it goes) over run(how far right) to find the Slope, then plugging in the Y-intercept.
Answer:
1/3
Step-by-step explanation:
Simplify the following:
((36/2)/(3×9))/2
((36/2)/(3×9))/2 = 36/(3×9×2×2):
36/(3×9×2×2)
36/9 = (9×4)/9 = 4:
4/(3×2×2)
4/2 = (2×2)/2 = 2:
2/(3×2)
2/(3×2) = 2/2×1/3 = 1/3:
Answer: 1/3
Answer:
15x - y = - 6.....15x + 6 = y...so we sub in 15x + 6 in for y on the other equation
5x - 3y = -13
5x - 3(15x + 6) = -13 <== the new equation
Step-by-step explanation:
Answer:
Correct option is (A). <em>H₀</em>:
= 0.5
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for a population parameter can be used to determine whether to reject a null hypothesis or not.
The decision rule is:
If the (1 - <em>α</em>)% confidence interval for a population parameter consists of the null value of the parameter then the null hypothesis will be accepted or else it will be rejected.
A hypothesis test is performed to determine the difference between the ideal and actual heights of college males.
The 95% confidence interval for the mean difference,
is:
CI = (0.8, 2.2)
The four null hypothesis provided are:
- H₀:
= 0.5 - H₀:
= 1.0 - H₀:
= 1.5 - H₀:
= 2.0
The 95% confidence interval for the mean difference consists of the value, 1.0, 1.5 and 2.0.
But it does not consist the value 0.5.
So, the null hypothesis that can be rejected is:
<em>H₀</em>:
= 0.5
Thus, the correct option is (A).