Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92
The 90th percentile score is nothing but the x value for which area below x is 90%.
To find 90th percentile we will find find z score such that probability below z is 0.9
P(Z <z) = 0.9
Using excel function to find z score corresponding to probability 0.9 is
z = NORM.S.INV(0.9) = 1.28
z =1.28
Now convert z score into x value using the formula
x = z *σ + μ
x = 1.28 * 92 + 1028
x = 1145.76
The 90th percentile score value is 1145.76
The probability that randomly selected score exceeds 1200 is
P(X > 1200)
Z score corresponding to x=1200 is
z = 
z = 
z = 1.8695 ~ 1.87
P(Z > 1.87 ) = 1 - P(Z < 1.87)
Using z-score table to find probability z < 1.87
P(Z < 1.87) = 0.9693
P(Z > 1.87) = 1 - 0.9693
P(Z > 1.87) = 0.0307
The probability that a randomly selected score exceeds 1200 is 0.0307
Answer:
The quantity of water drain after x min is 50 
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × 
I.e The quantity of water drain after x min = 50 gallon × 
or, The quantity of water drain after x min = 50 gallon ×
Hence the quantity of water drain after x min is 50 Answer
Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!
So-------
9^3=729
3^2=9
6^3=216
15^2=225
Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.
Therefore, your final answer will be 1,174.
If you have any questions on this, I'm happy to help you. :)
Answer:
C. 
and 
Step-by-step explanation:
The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.
Hope it helps!
9514 1404 393
Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
