<span>3(7 + 4)2 − 14 ÷ 7
First do the parenthesis
7 + 4 = 11
so the question looks like: 3(11)2 - 14/7
Then multiply 3, 11, and 2 together
3 x 11 x 2 = 66
66 - 14/7
14/7 equals to 2
66 - 2
Then just simplify
66 - 2 = 64
64 is your answer
hope this helps</span>
Answer:
a) P=0.2
b) P=0.1
Step-by-step explanation:
We have a total of 1,000 employees in the company.
Out of this 1,000 employees, 200 had colds. If this proportion allow us to estimate the probability of next year colds, we have:
If we take only the ones that are involved in excercise programs, we have 50 cases of cold out of 500 employees (half of the total employees).
The probabillity of cold for them is then:
A set of vectors {v1,v2,...,vk} is linearly independent if the vector equation x1v1 + x2v2 + .......... + xkvk = 0 has only the trivial solution
x1 = x2 = .... = xk =0. Then the set {v1,v2,...,vk} is linearly dependent otherwise.
So putting in the formula we get
x1u1 + x2u2 + x3u3 = 0
x1u1 + x2u2 = -x3u3
au1 + bu2 = u3 ∵ (-x1/x3 = a & -x2/x3 = b)
On putting in the values
a(3,-1) + b(4,5) = (-4,7)
(3a+4b,-a+5b) = (-4,7)
On comparing we get
3a + 4b = -4 -(1)
-a + 5b = 7 -(2)
on solving these equations we get
b = 17/19 and a= -48/19
which is non trivial.
Thus the following form linearly dependent sets of vectors.
Learn more about linear dependence of vectors here :
brainly.com/question/13776214
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