Answer: The probability is 1/190 = 0.005
Step-by-step explanation:
The probability of ordering two specific toppings out of 20 is:
For the first selection he can order 2 of them, peperoni or sausage, so the probability for the first selection is 2/20 = 1/10 (the number of correct options divided by the total number of options)
For the second selection we have only one option, because we assume that the other one was selected previously, here we also had a total of 19 toppings because one already was selected, the probability in this selection is 1/19.
The joint probability is equal to the product of those two probabilities:
P = (1/19)*(1/10) = 1/190 = 0.005
X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
Factor strings for 36:
6 x 6
2 x 18
3 x 12
4 x 9
2 x 2 x 3 x 3
2 x 2 x 9
4 x 3 x 3
6 x 2 x 3
Hope that helped :D
Answer:
x = 90°
Step-by-step explanation:
The diagonals of the kite AC and BD are perpendicular to each other
Hence x = 90°
Answer:
angle 1 and angle 2 are supplementary angles
Step-by-step explanation:
When the base of the angles forms a straight line, the sum of the angles is 180°. That's the definition of supplementary angles.
Complementary angles form a right angle. The sum of complementary angles is 90°
<em>A slightly silly way to remember Complementary angles: The two angles look at each other and compliment each other saying, "You look all right to me!"</em>
<em>"</em><em>Yes,</em><em> </em><em>we </em><em>are </em><em><u>so </u></em><em><u>right</u></em><em> </em><em>together</em><em>!</em><em>"</em>
<em>:</em><em>)</em>
