Answer:
,
etc.
Step-by-step explanation:
Multiply the top and bottom of
by the same number to get an equivalent fraction.
Answer:
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Step-by-step explanation:
Given that u4 is not a linear combination of {u1,u2,u3}
This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.
This gives that 
This implies that these four vectors are not linearly dependent but linearly independent.
Hence option a is right.
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Answer:
The probability that in a one-game playoff, her score is more than 227 is 0.4404.
Step-by-step explanation:
We are given that Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13.
<em>Let, X = scores over that period of time</em>
X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= average score
= standard deviation
So, probability that in a one-game playoff, her score is more than 227 is given by = P(X > 227)
P(X > 227) = P(
<
) = P(Z > 0.15) = 1 - P(Z
0.15)
= 1 - 0.55962 = 0.4404
Therefore, probability that in a one-game playoff, her score is more than 227 is 0.4404.
Answer:
f(x) = 4^x
Step-by-step explanation:
In f(x) = (1/4)^x, 1/4 is equal to 0.25, which is less than 1, so its decreasing
In f(x) = 4^x, 4 is greater than 1, so its increasing
In f(x) = (0.4)^x, 0.4 is less than 1, so its decreasing
This is why f(x) = 4^x is the correct answer
I hope this helps!