Lowest score earned to be qualified for an interview is 92.82
X : Marks scored in interview
X ~ N(80,100)
Here we need to find x such that P(X > x) = 0.10
using standard normal table,
we get P( z > 1.282) = 0.10
It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.
To convert x (which follows Normal distribution) to standard normal use: 
so, 
<em>hence,</em>
<em> </em>
Hence Lowest score earned to be qualified for an interview is 92.82
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The graph of f(x) - 4 is obtained by translating the graph of f(x) 4 units down.
Therefore, the corresponding point for the function f(x) - 4 is (-3, 5 - 4) = (-3, 1).
1500 is your answer hope it helps
Answer:
Charlie can buy 14 hats at the sale price
Step-by-step explanation:
Let
h ----> the sale price of the hat
x ---> the regular price of the hat
we know that
----> equation A
so
Two hats at the regular price is equal to multiply 2 by x
Multiply by 2 equation A both sides
2 hats at the regular price cost the same that 14 hats at the sale price
therefore
Charlie can buy 14 hats at the sale price
37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold
Step-by-step explanation:
Let s be the number of short-sleeved shirts
and
l be the number of long sleeved-shirts
Then according to given statements
From eqn 1:
Putting in equation 2:
Dividing both sides by 11
Putting l=30 in equation 1
Hence,
37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold
Keywords: Linear equations
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