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3 years ago

What does it mean for rows to be linearly independent?

Mathematics

1 answer:

garri49 [273]3 years ago

4 0

It means no rows in the set can be written or defined as a linear combination of the others.

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What is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)

Vaselesa [24]

Answer:

The answer is 15/37.

Step-by-step explanation:

There are 15 girls who like starwberry icecream, and the total of girls is 37.

So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.

5 0

2 years ago

A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and

mr Goodwill [35]

Answer:

Bias for the estimator = -0.56

Mean Square Error for the estimator = 6.6311

Step-by-step explanation:

Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.

To find - Determine the bias and the mean squared error for this estimator of the mean.

Proof -

Let us denote

X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)

Now,

An estimate of mean, μ is suggested as

$\mu = \frac{3X_{1} + 4X_{2} }{8}$

Now

Bias for the estimator = E(μ bar) - μ

= $E( \frac{3X_{1} + 4X_{2} }{8}) - 4.5$

= $\frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5$

= $\frac{3(4.5) + 4(4.5)}{8} - 4.5$

= $\frac{13.5 + 18}{8} - 4.5$

= $\frac{31.5}{8} - 4.5$

= 3.9375 - 4.5

= - 0.5625 ≈ -0.56

∴ we get

Bias for the estimator = -0.56

Now,

Mean Square Error for the estimator = E[(μ bar - μ)²]

= Var(μ bar) + [Bias(μ bar, μ)]²

= $Var( \frac{3X_{1} + 4X_{2} }{8}) + 0.3136$

= $\frac{1}{64} Var( {3X_{1} + 4X_{2} }) + 0.3136$

= $\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136$

= $\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136$

= $\frac{1}{64} [7(57.76)}] } + 0.3136$

= $\frac{1}{64} [404.32] } + 0.3136$

= $6.3175 + 0.3136$

= 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0

3 years ago

How do I solve: 15 - w/4 = 28 (this is 2 step equations)

kenny6666 [7]

First we need to isolate the variable so we add 15 to both sides which is
w/4=43 then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43

8 0

3 years ago

Read 2 more answers

Plz help i will give brainliest

Drupady [299]

The top question is y=2x+6
the bottom question is y=5/2x-6

4 0

3 years ago

Cole got 100 for his birthday. He can either save the money or buy a tennis racket with it. What is the opportunity cost if he b

hodyreva [135]

Cole can learn how to play tennis. But if he saved the money, he can save up and get something bigger, or save up for college. There is only so much he can do with a tennis racket except for using it to learn a new sport.

8 0

3 years ago