Answer:
D ![\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-6.5%261.7%5C%5C-2%26-8.5%2619.3%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Two matrices are equal when they
- have the same sizes (so options A and B are false)
- have equal corresponding elements (so option C is false, because -6≠6, -6.5≠6.5, 1.7≠-1.7 and so on)
If in option D the second row is 2 -8.5 19.3 , then these matrix is equal to the given.
A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.
Explanationa) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70). In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.
μ=n*p=70*(1/38) = 1.842.
The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.
b) To determine if this is unusually low, we find the probability:
Since this is not below 0.05, we do not consider this unusual.
It's easier to see the numbers if you use commas.
6,289,002
The 6 is in the millions place. When rounding, if the following number is 5 or higher, you would round up. If the following number is 4 or less, you would round down. The number following the 6 is a 2, so you would round down. The nearest million would be 6,000,000.
The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:
c² = a² + b²
c² = 2a²
4² = 2a²
a = 2√2
Hope this answers the question.
3 periods....20 minutes each.....3 * 20 = 60 total minutes playing time
colin plays 12 minutes each period...12 * 3 = 36 minutes
Collins playing time to total playing time = 36/60 reduces to 9/15 or 9:15 or 9 to 15 <===
