Total divided by number of rows=number per row
63/7=9
9 per row
Answer:
-16
Step-by-step explanation:
−2(32)−
8
2
+6
=(−2)(9)−
8
2
+6
=−18−
8
2
+6
=−18−4+6
=−22+6
=−16
Answer:
0.91517
Step-by-step explanation:
Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.
Let A - the event passing in SAT with atleast 1500
B - getting award i.e getting atleast 1350
Required probability = P(B/A)
= P(X>1500)/P(X>1350)
X is N (1100, 200)
Corresponding Z score = ![\frac{x-1100}{200}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1100%7D%7B200%7D)
![P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517](https://tex.z-dn.net/?f=P%28X%3E1500%29%2FP%28X%3E1350%29%5C%5C%3D%20%5Cfrac%7BP%28Z%3E2%29%7D%7BP%28Z%3E1.25%7D%20%5C%5C%3D%5Cfrac%7B0.89435%7D%7B0.97725%7D%20%5C%5C%3D0.91517)
Answer:
1/8 cup
Step-by-step explanation:
x = 7/8 - 1/4 - 1/2
x = 7/8 - 2/8 - 4/8
x = 1/8
Answer:
x = 3; y = -6
Step-by-step explanation:
x - 2y = 15
2x + 4y = -18
Multiply both sides of the first equation by 2. Write the second equation below it, and add the two equations.
2x - 4y = 30
(+) 2x + 4y = -18
---------------------------
4x = 12
4x/4 = 12/4
x = 3
Now we substitute 3 for x in the first equation and solve for y.
x - 2y = 15
3 - 2y = 15
-2y = 12
y = -6
Answer: x = 3; y = -6