Answer:
x = 4
Step-by-step explanation:
<em>To solve, we need to isolate </em><em>x</em><em>.</em>
<em>Start by moving the </em><em>20</em><em> to the other side by subtracting it from both sides.</em>
2x = 8
<em>Since </em><em>x</em><em> is being multiplied by </em><em>2</em><em>, we need to </em><u><em>divide</em></u><em> both sides by </em><em>2</em><em> to move it to the other side.</em>
x = 4
Answer:
Step-by-step explanation:
The probability is
P
(
A
)
=
1
3
Explanation:
To calculate the probability you have to count the number of all possible results
|
Ω
|
and the number of results that fulfill the given condition
|
A
|
.
In this case
Ω
=
{
1
,
2
,
3
,
4
,
5
,
6
}
Thereare 6 possible result of a dice toss. So
|
Ω
|
=
6
The given condition is "the result is divisible by
3
", so
A
=
{
3
,
6
}
- those are the only numbers divisible by
3
, so
|
A
|
=
2
.
Finally to calculate the probability we have to divide
|
A
|
by
|
Ω
|
.
P
(
A
)
=
|
A
|
|
Ω
|
=
2
6
=
1
3
Note The probability is never larger than
1
, so if you get such result then there must be a mistake in calculations.
Answer: it is D
explanation: the higher the weight is the higher the cost is
Answer:
x=6, x=-5
Step-by-step explanation:
Factoring this quadratic gets you (x-6)(x+5)=0, for this to be possible, either x-6 or x+5 has to be zero, so therefor x is 6, or x is -5
Answer:
The width is 
Step-by-step explanation:
From the question we are told that
The population standard deviation is 
The sample size is 
The sample mean is 
Given that the confidence level is 99% then the level of significance is mathematically represented as
=> 
=> 
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally margin of error is mathematically represented as
substituting values
The width of the 99% confidence interval is mathematically evaluated as
substituting values
