Answer:
$836.8
Step-by-step explanation:
Average price = mean = $965
Standard deviation, = $100
Given that distribution is approximately normal ;
The least expensive 10% of the laptops :
We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;
From, a normal probability distribution table ;
P(Z ≤ 0.1) = - 1.282
We substitute this into the Zscore formula :
Zscore = (x - mean ) / standard deviation
x = price
-1.282 = (x - 965) / 100
-128.2 = (x - 965)
x = - 128.2 + 965
x = $836.8
Hence, price is $836.8
It's a <span>rhombus.
1. D
2. A
3. D
4. B
5. C</span>
For this case we have the following functions:
By definition of composition of functions we have to:
So:
By definition of division of powers of the same base we have to place the same base and subtract the exponents:
ANswer:
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
