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Tema [17]
3 years ago
12

Anyone know how to do this?¿?¿

Mathematics
2 answers:
vichka [17]3 years ago
7 0
0.65 x 40 = 26
So the answer is 26 pounds.
DanielleElmas [232]3 years ago
4 0
Change 65% to a decimal: 0.65
Since "of" in math means times, 0.65 x 40 = 26
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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
Renee is standing at point (1, 0) on a gigantic circular track of radius 1 mile with center (0, 0). She walks counterclockwise a
mafiozo [28]

Answer:

32

Step-by-step explanation: xbcjxnszHJCGewupearl had some beads She used 3/5 of them to make bracelets and 1/4 of the remainder to decorate her sweater if she had 300 beads left how many beads did she have at first jdks

7 0
3 years ago
(+8) + (-9) <br> Equal what ??
Tanzania [10]
(+8)+(-9) 
the answer is -1
5 0
3 years ago
Read 2 more answers
If a cow has a mass of 9×10^2 kilograms, and a blue whale has a mass of 1.8×10^5 kilograms, which of these statements is true?
trasher [3.6K]

Answer:

The 1st answer, <em>The blue whale has about 200 times more mass. </em>might be correct.

Step-by-step explanation:

9 x 10 ^2= 900 kilograms

1.8 × 10 ^5= 180000 kilograms

180000 kilograms / 900 kilograms= 200 times

5 0
3 years ago
Linda is buying boxes of ice cream sandwiches for her class party. She has to decide how many boxes she should purchase. A formu
Ugo [173]

Answer:

a = 2

x = 15

y = 10

Z= 2x15/10 = 3

6 0
3 years ago
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