<h3>
Answer: Choice B</h3>
With matrix subtraction, you simply subtract the corresponding values.
I like to think of it as if you had 2 buses. Each bus is a rectangle array of seats. Each seat would be a box where there's a number inside. Each seat is also labeled in a way so you can find it very quickly (eg: "seat C1" for row C, 1st seat on the very left). The rule is that you can only subtract values that are in the same seat between the two buses.
So in this case, we subtract the first upper left corner values 14 and 15 to get 14-15 = -1. The only answer that has this is choice B. So we can stop here if needed.
If we kept going then the other values would be...
row1,column2: P-R = -33-16 = -49
row1,column3: P-R = 28-(-24) = 52
row2,column1: P-R = 42-25 = 17
row2,column2: P-R = 35-(-30) = 65
row2,column3: P-R = -19-36 = -55
The values in bold correspond to the proper values shown in choice B.
As you can probably guess by now, matrix addition and subtraction is only possible if the two matrices are the same size (same number of rows, same number of columns). The matrices don't have to be square.
Answer:
calculate P(X=1) + P(X=2) +...+ P(X=12) using the binomial formula or an individual table in excel
calculate the P(X ≥ 12) using the binomial formula or a cumulative table in excel
Step-by-step explanation:
For a binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = number of trials = 12 ; x = number of successes
p = probability of success = 0.2% = 0.002
1 - p = 1 - 0.002 = 0.998
Probability that atleast 1 is broken ;
p(1) + p(2) + p(3) +... + p(12) ;
This can be calculated by summing the values obtained using the binomial formula or in excel.
Alternatively, using the binomial formular or excel, the cumulative probability could be obtained as P(x ≥ 1)
Answer:
Step-by-step explanation:
area of triangular face = ½·3·4 = 6 cm²
area of 3 by 7 face = 3×7 = 21 cm²
area of 5 by 7 face = 5×7 = 35 cm²
area of 4 by 7 face = 4×7 = 28 cm²
total surface area = 2×6 + 21 + 35 + 28 = 96 cm²
Answer:
the areas of these triangles are 83.2cm² and 46.8cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:
4²:3²
16:9
2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:
130(16/16+9)
130(0.64)
=83.2cm²
3. The area of the smaller triangle is:
130(9/16+9)
130(0.36)
46.8cm²
Answer:
<h2>
B. 9</h2>
Step-by-step explanation:
|<-------------- 27 ------------>|
L--------------M----------------N
18 MN
LN = LM + MN
27 = 18 + MN
MN = 27 - 18
<h2>
MN = 9</h2>
