Answer:
The required probability is 0.048
Step-by-step explanation:
Consider the provided information.
Out of 52 card we need to select only 2.
Therefore the sample space is: 
One card is Ace. The number of Ace are 4 and we need to select one of them.
This can be written as: 
The second card can be Ten or a Jack or a Queen or a King.
There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.
So we can say that we need to select 1 card out of 16.
This can be written as: 
Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:
Hence, the required probability is 0.048
Answer:
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Step-by-step explanation:
We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.8946
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088
The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
Answer: Multiplication
Step-by-step explanation: The M in PEMDAS stands for Multiplication
Answer:
ok i answer
Step-by-step explanation:
yes
