They will require between 18.42 and 31.58 minutes.
We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.
Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.
The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.
The formula for a z-score is
z = (X-μ)/σ
-1.645 = (X-25)/4
Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25
Adding 25 to both sides,
-6.58+25 = X
18.42 = X
For the upper bound,
1.645 = (X-25)/4
Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25
Adding 25 to both sides,
6.58+25 = X
31.58 = X
The times are between 18.42 and 31.58 minutes.
Answer:
no you cant
Step-by-step explanation:
Answer:
Domain = -2, range = -5
Domain =>0, range = 0
domain = 2, range = 5
let y =>f(x)
It can be seen that Function can be linear having common difference 2
F(x) = 2x + 1 for x>0
is satisfied for above values
let's check
F(2) = 2(2)+1 = 4+1 = 5 As given
For x<0 , F(x) = 2x -1
f(-2)= 2(-2) -1= -4-1= -5 As given
For X= 0, F(x)= 2x
So , F(0) = 0 As given
Answer:
5 years
Step-by-step explanation:
We are given;
- Initial value of the car = $12,500
- Rate of Depreciation = 13% per year
- New value (after depreciation) = $6,250 (half the initial value)
We are required to determine the time taken for the value of the car to depreciate to half the original value.
- We need to know the depreciation formula;
- New value = Initial value ( 1 - r/100)^n
Therefore;
$6,250 = $12,500(1 - r/100)^n
0.5 = (1 - 13/100)^n
0.5 = 0.87^n
Introducing log on both sides;
log 0.5 = n log 0.87
Therefore;
n = log 0.5 ÷ log 0.87
= 4.977
= 5 years
Therefore, it takes 5 years for the value of the car to depreciate to half the initial value.
Answer:
4*x=-20
-4+x=-20
There is not one answer for the product x= -6 and for the sum x= -24.
Step-by-step explanation:
x*4=-20
x= -20/4
x = -6
-4+x=-20
x = -24