Answer:
(x²/4) + (y²/16) ≤ 1
Step-by-step explanation:
The general form of the ellipse in the graph is
x²/4 + y²/16 = 1
we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct
Choice 1: x²/4 + y²/16 ≥ 1
Choice 2: x²/4 + y²/16 ≤ 1
we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.
try choice 1: 0²/4 + 0²/16 = 0 ≥ 1 (not valid because obviously zero is smaller than 1)
try choice 1: 0²/4 + 0²/16 = 0 ≤ 1 (this is valid, hence choice 2 is the answer)
Keywords
complementary angles, right angle
we know that
If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>
In this problem
-------> by <u>complementary angles</u>
we have
Substitute and solve for Angle TSU
therefore
the answer is the option
Since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.
<h3>What is the relation between the p-value and the conclusion of the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected, which means that the results do not have statistical significance.
- If it is less, it is rejected, which means that the results have statistical significance.
In this problem, the probability is the p-value, hence since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.
More can be learned about p-values at brainly.com/question/13873630
#SPJ1
Answer:
They spent $15.
Step-by-step explanation:
It's given that Jane bought x cookies, so 3x.
John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.
3x=x+10
2x=10
x=5
So they got 5 cookies each.
5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )
You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1
When plotted into the points it would look like 1-(-5)/4-1= 6/3
6/3=2. So, the slope for these two points is 2.
