Answer:
23
Step-by-step explanation:
plug and chug: 5(4)+3=20+3=23
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:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).
Answer: The answer is D. the data distribution is skewed to the right.
Step-by-step explanation:
Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.
Answer:
41
Step-by-step explanation:
13 cm × 3.14 ( pi )
will give you
40.82 = 41