Answer:
-58
Step-by-step explanation:
We are to find tfhe dot product of u=<-8,9> and v=<5,-2>
u*v = <-8,9>*<5,-2>
u*v = -8(5)+9(-2)
u*v = -40 - 18
u*v = -58
Hence the product of the vectors is -58
Answer:
0.083
Step-by-step explanation:
To solve the above question, we use the combination method.
C(n, r) = nCr = n!/r!(n - r)!
Probability of answering (all 5 correctly)
= Probability of answering ( 5 out of 7 correctly)/ Probability of answering (5 out of 10 problems)
Probability of answering ( 5 out of 7 correctly) = 7C5
nCr = n!/r!(n - r)!
= 7!/5! (7 - 5)!
= 7 × 6 × 5 × 4 × 3 × 2 × 1/( 5 × 4 × 3 × 2 × 1) × (2 × 1)
= 21 ways
Probability of answering (5 out of 10 problems) = 10C5
nCr = n!/r!(n - r)!
= 10!/5! (10 - 5)!
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/( 5 × 4 × 3 × 2 × 1) × (5 × 4 × 3 × 2 × 1)
= 252 ways
Probability of answering (all 5 correctly)
= 21/252
= 0.0833333333
Approximately = 0.083
Answer:
5 1/6
Step-by-step explanation:
First you want to get the same denominator on both of the fractions. So you would multiply 1 2/3 or you can change it into a improper fraction which is a fraction greater than 1. So that would be 5/3 times 2/2. Because you want to get the same denominator. That is 10/6. Then you make 3 1/2 a improper fraction which is 7/2 and multiply it by 3/3 to get 21/6. Next you would add them together and get 31/6 but you have to simplify, so you would divide 31 by 6 and get 5 1/6.
I know that's a lot but I hope it helps.
i cant describe but i put y=1/x+3 -4 on the graph hope this helps