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3 years ago

If lulu can write 4 pages in 1/5 of an hour what is her unit rate

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

Answer:

20 pages per hour

Step-by-step explanation:

4/x=12/60 - now do cross multiplication

x=4*60/12 - simplify

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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

A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records

babunello [35]

Answer:

Firstly this is all about luck my predictions is impossible to be accurate

ANyways i think ther are 30 red,10 green and 60 blue

Step-by-step explanation:

7 red marbles, 2 green marbles and 11 blue marbles.

Firstly this is all about luck my predictions is impossible to be accurate

ANyways i think ther are 30 red,10 green and 60 blue

8 0

3 years ago

What do you Multiply to equal 310

Alona [7]

Multiply it again so it equals that 310 number

6 0

3 years ago

Read 2 more answers

Please help meeeee!!!!!

o-na [289]

Okay, Once Again The Value Of X Has Been Lost & It's Up To You To Find It.
$- \frac{1}{2} (x + 4) = 16$
1st. Divide Both Sides By -1/2, Dividing By -1/2 Is The Same As Multiplying By -2
$\frac{ - \frac{1}{2}(x + 4) }{ - \frac{1}{2} } = \frac{16}{ - \frac{1}{2} } \\$
2nd. Subtract 4 From Both Sides
$x + 4 = - 32$
$x + (4 - 4) = - 32 - 4$
3rd. Divide By The Coefficient Of X
$\frac{(1)x}{1} = \frac{ - 36}{1}$
4th.
$x = - 36$

The 3rd Step Is Technically Not Needed, Because We Know The Coefficient Of X In The Equation Is 1, If It Was Any Other Value, Then It's Needed.

8 0

3 years ago

Thomas and his sister Lauren are competing in a running race. When Thomas is 0.7 miles from the finish line, he notices that his

ratelena [41]

Answer:

ummmmm 0.825

Step-by-step explanation:

im pretty sure thats correct i havent done math like that in a while let me know if its right :)

4 0

3 years ago