Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
Answer:
Step-by-step explanation:
Angle ADC and angle CDJ are complementary. That means that they add up to equal 90 degrees. Therefore,
4x + 3x - 8 = 90 and
7x = 98 so
x = 14
Sub in a 14 for x in 3x - 8:
3(14) - 8 = 34
Angle CDJ = 34 degrees
Answer:
He will finish the rest of the problems in 32.4 minutes.
Step-by-step explanation:
Since we are given that Yan has completed 3/5 of 45 problems i.e.


Thus he has completed 27 problems
Remaining no. of problems are 45-27 = 18
Since he complete each problem in minutes = 
So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes
Hence , He will finish the rest of the problems in 32.4 minutes.
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be

Since Aces are considered as the highest card in the deck.
So, remaining probability would be

Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be

Hence, the required expected value is $3.46.