Answer:
0.3257
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 496 ; Standard deviation = 110
For :
P(x > 545.7)
We obtain the standardized, Z score
Z = (545.7 - 496) / 110
Z = 49.7 / 110
Z = 0.4518
Hence, using the Z distribution table :
P(Z > 0.4518) = 1 - P(Z < 0.4518)
P(Z > 0.4518) = 1 - 0.67429
P(Z > 0.4518) = 0.32571
D since -8 multiplied by -4 is 32 and the symbol is less than 32 not equal to so it is not part of the solutions.
Answer:
125°
Step-by-step explanation:
ABC + CBD = 180
(Supplementary angles)
8x - 41 + 9x + 17 = 180
17x = 204
x = 12°
CBD = 9(12) + 17 = 125°
Step-by-step explanation:
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The lowest rank of the class is unknown to us.
Let's say, it's x.
highest marks =2 × lowest rank + 7
=> 87 = 2x + 7 (this is the equation we gotta solve)
=> 87 - 7 = 2x
=> 2x = 80
=> x = 40
And x is the lowest rank of the class, so we got the required answer.
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it can be 17 since the denominators are in increasing order and 17 only fits in.
I'm looking for any other pattern that can be present here.
Answer:
Step-by-step explanation:
-10 < x - 9
Bringing like terms on one side
-10 + 9 < x
-1 < x
x > - 1
Option C is the correct answer