3x + 2y = 6 ⇒ -3x - 2y = -6
-x + y = -2 ⇒ <u>-3x + 3y = -6</u>
<u>-5y</u> = <u>0</u>
-5 -5
y = 0
3x + 2(0) = 6
3x + 0 = 6
<u> - 0 - 0</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
(x, y) = (2, 0)
Answer:
57.885
Step-by-step explanation:
For such calculations a probability calculator is very helpful. The one in the attachment shows the 87th percentile to be 57.885.
___
A table of the standard normal distribution will tell you the 87th percentile corresponds to a z-value of 1.12639. Then the X value is ...
X = Zσ +μ = 1.12639(7) +50 = 57.885
Answer:
$26.75 per scarf
Step-by-step explanation:
3 scarves = $80.25 (quite expensive)
1 scarf = $80.25/3
1 scarf = $26.75
Answer:
the answer is -31/20
Step-by-step explanation:
Answer:
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.
Step-by-step explanation:
Using the Pythagorean Theorem, (
) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.
Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:



Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.


Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.