Answer:
-¾
Step-by-step explanation:
gradient = delta y over delta x
gradient = 0 - 3 / 5 - 1
gradient = -3 / 4
The graphs that are density curves for a continuous random variable are: Graph A, C, D and E.
<h3>How to determine the density curves?</h3>
In Geometry, the area of the density curves for a continuous random variable must always be equal to one (1). Thus, we would test this rule in each of the curves:
Area A = (1 × 5 + 1 × 3 + 1 × 2) × 0.1
Area A = 10 × 0.1
Area A = 1 sq. units (True).
For curve B, we have:
Area B = (3 × 3) × 0.1
Area B = 9 × 0.1
Area B = 0.9 sq. units (False).
For curve C, we have:
Area C = (3 × 4 - 2 × 1) × 0.1
Area C = 10 × 0.1
Area C = 1 sq. units (False).
For curve D, we have:
Area D = (1 × 4 + 1 × 3 + 1 × 2 + 1 × 1) × 0.1
Area D = 10 × 0.1
Area D = 1 sq. units (True).
For curve E, we have:
Area E = (1/2 × 4 × 5) × 0.1
Area E = 10 × 0.1
Area E = 1 sq. units (True).
Read more on density curves here: brainly.com/question/26559908
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The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y. Please see the steps below for the work.
6x - 2y = 10
-6x -6x
<u>-2y </u>= <u>(-6x + 10)</u>
-2 -2
y = 3x - 5
To find the solution
-4x>36
divide both sides by -4
(REMEMBER WHEN YOU DIVIDE BY A NEGATIVE, THE SIGN FLIPS OVER)
x < -36/4
simplified
x < -9
Hope this helps :)
Answer: D. 7^11
Step-by-step explanation:
For exponents with the same base, we just add the exponents and keep the same base. 7 is the same base; therefore 5+6=11 which means the answer is 7^11
