Answer:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:

For x = 78, the z score is:

From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
Answer:
A=27 cm^2
B=24 cm^2
C=26 cm^2
D=28 cm^2
Step-by-step explanation:
Break each problem down into individual shapes.
For instance, A can be split into a 3 by 3 square and a 6 by 3 square.
Get the area by multiplying the length & height: A = L * H
For the triangles the area is the same equation divided by 2 A=LH/2
Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.
Answer:
4/3
Step-by-step explanation: