Answer: You would divide the rectangle into half, to form two congruent triangles. When you multiply the area of 1 of the triangles, it gives you the area of both triangles, and so the area of the triangle as a whole.
Step-by-step explanation:
Answer:
The probability that can afford to spend between $800 and $900
P(800≤X≤900) = 0.6826
The percentage of that can afford to spend between $800 and $900
P(800≤X≤900) = 68 percentage
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Normal distribution = $850
Given that the standard deviation of the Normal distribution = $50
Let 'X' be a random variable in a normal distribution
Let x₁ = 800

Let x₂ =850

<u><em>Step(ii):-</em></u>
The probability that can afford to spend between $800 and $900
P(800≤X≤900) = P(-1≤Z≤1)
= P(Z≤1) - P(Z≤-1)
= 0.5 + A(1) - (0.5 - A(-1))
= A(1) +A(-1)
= 2× A(1) (∵ A(-1) =A(1)
= 2 × 0.3413
= 0.6826
The percentage of that can afford to spend between $800 and $900
P(800≤X≤900) = 68 percentage
Answer:
Slope-Intercept Form of a Line (y = mx + b)
Step-by-step explanation:
The slope-intercept is the most “popular” form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form.
Answer:
This is only true with a cube
Step-by-step explanation:
Only a cube has 6 equal faces of equal size.
I can't really put a diagram here so i hope that explanation helped!
Stay safe! <3
Answer:
(-5, -30)
Step-by-step explanation:
We start with the equation:
y = 6x
y = -4x - 50
Since both of them are equal to y, we can substitute the 6x into y. So:
6x = -4x - 50
Now we can solve for x. Add 4x to both sides...
6x = -4x - 50
+4x +4x
10x = -50
Now, divide both sides by 10.
<u>10x</u> = <u>-50</u>
10 10
x = -5
So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.
y = 6(-5)
y = -30
And...
y = -4(-5) - 50
y = 20 - 50
y = -30
As you can see, both equations show that y = -30. To check our work, let's plug in the values.
-30 = 6(-5)
-30 = -30
Also:
-30 = -4(-5) - 50
-30 = -20 - 50
-30 = -30
So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!