Answer:
0.28 represents the growth factor
Step-by-step explanation:
Given
Required
What does 0.28 represents
In a function:
b represents the growth factor.
By comparison:
So, this implies that: 0.28 represents the growth factor
On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2
1 answer:
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Answer:
1. E(Y) = 50.54°F
2. SD(Y) = 11.34°F
Step-by-step explanation:
We are given that The daily high temperature X in degrees Celsius in Montreal during April has expected value E(X) = 10.3°C with a standard deviation SD(X) = 3.5°C.
The conversion of X into degrees Fahrenheit Y is Y = (9/5)X + 32.
(1) Y = (9/5)X + 32
E(Y) = E((9/5)X + 32) = E((9/5)X) + E(32)
= (9/5) * E(X) + 32 { expectation of constant is constant}
= (9/5) * 10.3 + 32 = 50.54
Therefore, E(Y), the expected daily high in Montreal during April in degrees Fahrenheit is 50.54°F .
(2) Y = (9/5)X + 32
SD(Y) = SD((9/5)X + 32) = SD((9/5)X) + SD(32)
= * SD(X) + 0 {
standard deviation of constant is zero}
=
* 3.5 = 11.34°F
Therefore, SD(Y), the standard deviation of the daily high temperature in Montreal during April in degrees Fahrenheit is 11.34°F .
Answer:
The greatest prime factor of k is 11.
Step-by-step explanation:
∵ LCM( 2, 15) = 30,
Thus, the even multiple of 15 must be multiple of 30,
That is, the even multiple of 15 between 295 and 615 are
300, 330, 360,..........600
Which is an AP,
Having first term, a = 300,
Common difference, d = 30,
If n be the number terms,
Last term =
Hence, the sum of the all even multiple of 15 from 295 to 615,
According to the question,
⇒ k = 11 × 450 = 11 × 5 × 5 × 3 × 3 × 2
Hence, the greatest prime factor of k is 11.