Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
9514 1404 393
Answer:
(p -9q)/(4p² +12pq)
Step-by-step explanation:
The least common denominator will be the product of the denominators.
In this number 1500,000,
1 is at million place and 5 is at hundred thousand place
So, the value of 1 = 1 (1,000,000) = 1 million
And the value of 5 = 5 (100,000 ) = 500,000 = Five hundred thousand
In the second number 100,500
1 is at hundred thousand place and 5 is at hundred place
The value of 1 = 1 (100,000) = 100,000 = Hundred thousand
And the value of 5 = 5 (100 ) = 500 = Five hundred
Since the digits 1 and 5 both are at different places in both the numbers so 1,500,000 and 100,500 are not the same.
Answer:
D) 1/4
Step-by-step explanation:
To solve this, first lets figure out what this variable is. We know we must multiply by t. Well, looking at it, we know that t is one. So lets plug that in.
2*1/2^3(1)
Now we need to figure out what the exponent is that 2 will be raised to. To find that, find out what 3 times one is.
2*1/2^3
Now we need to solve the exponent.
2*1/8
Remember, 2 cubed is eight.
Now we need to find out what 2*1/8 is. To solve this more easily, I am going to turn two into a fraction. This will give us 2/1*1/8. Now we cross multiply, multiplying the numerators by the numerators, and the denominators by the denominators. Remember, the numerator is the top number, and the denominator is the bottom number.
If we do that, we get:
2/8
If we simplify it, we get 1/4. So the asnwer is D) 1/4
Answer: The required probability is 0.3456.
Step-by-step explanation:
Since we have given that
Probability of winning at any given time = 0.6
Probability of losing at any given time = 1-0.6 = 0.4
Number of total matches = 5
Number of won matches = 3
So, using "Binomial distribution", we get that
Hence, the required probability is 0.3456.
