Answer:
Lower confidence limit = 20.191
Step-by-step explanation:
Sample mean; x' = 22
Sample standard deviation; s = 5.5
Sample size; n = 50
Confidence interval = 99%
Since sample size > 30, we will use the formula;
CI = x' ± zs/√n
Where;
x' is sample mean
s is sample standard deviation
n is sample size
z is z-value of the confidence interval
From the table attached, z for 99% = 2.3263
Thus;
CI = 22 ± (2.3263 × 5.5)/√50
CI = 22 ± 1.809
CI = 23.809 or 20.191
Lower confidence limit = 20.191
Answer:
<h2>14</h2>Step-by-step explanation:
Given the expression 3.2 + 2^3, we are to simplify and find the value of the expression.
Note that the dot means multiplication. The equation then becomes;
<em>Hence the value of the expression is 14</em>
Answer:
****NO LINKS OR REPORTING****
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
Step-by-step explanation:
pls help me with this question!!!
<u>Solution-</u>
The company purchased a new computer for $1500 and chooses to depreciate using the straight-line method for 5 years.
a-
As the value is depreciating, so its slope will be -ve.
( ∵ The value of 1500 will depreciate in 5 years )
y-intercept = 1500 ( ∵ At the beginning when x=0, y=1500)
Linear equation of the system,
y = mx +c ,
where,
m = slope = -300,
c = y-intercept = 1500
Putting the values,
b-
The implied domain of the function is 1≤x≤5 or [1,5]
c-
Follow the attachment attached herewith for the graph.
d-
Here,
y = the value of the computer
.
x = number of years depreciated = 3
Putting the values in the linear equation,
y = 1500-300(3) = 1500-900 = 600
∴ The book value of the computer after 3 years is $600.
e-
Here given that,
y = value of computer = 1600
x = asked = ??
Putting the values in the equation,
1600 = 1500 - 300x
⇒ 100= -300x
⇒ x= -3
∴ As the x is in negative, i.e it is impossible for the computer to be worth of 1600. It happens also because as the value is depreciating, it will always be less than 1500.