15/hr
15x5 = 75 dollars. you can build the ratio table using the rate of change.
Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z = 
on substituting the respective values, we get
Z = 
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is
i.e 
Now from standard normal table
= -1.96
Answer:
= 0
Step-by-step explanation:
Data provided in the question:
In(2x + 5) = In(x - 3)
we can rearrange the above equation as
⇒ In(2x + 5) - In(x - 3) = 0
now,
from the properties of natural log function, we know that

therefore,
we get
= 0
Hence,
Expression as the logarithm of a single quantity is
= 0
Answer:
28/12
Step-by-step explanation:
you multiply 12 times 2
then add it to 4
<u>Answer</u>:
<u>Length of </u>
- first side =

<u>Step-by-step explanation:</u>
Given:
Length of the first side of a triangle is half the length of the second side
The length of the third is 5cm more than triple the length of the second
To find:
The expression representing the sides of the triangle
Solution:
Let us first assume the second side of the triangle to be x, since the the first and the third sides are based on the length of the second side
Now, the length of the first side is said to be half of the second side, so
The length of the first side will be = 
The length of the second side is 5cm more than triple the length of the second
So the length of the third side will be
5 +3x