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satela [25.4K]
3 years ago
11

HELP PLEASE. Both questions.

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle




So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.


Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

  

I hope that helps!


I am with you if you faced any difficulties!




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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
Plsssssss answerrrrrr
MaRussiya [10]

Answer:

Step-by-step explanation:

Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120

angle C and angle B are supplementary and so their sum is equal to 180

B = 180 - 120

B = 60

angle D and angle B are also alternate so their measure is also equal to each other therefore

D = 60

7 0
2 years ago
What is 347,492 rounded to the nearest ten thousand
34kurt

Answer:350,000

Step-by-step explanation:

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2 years ago
Which of the following is a polynomial with roots
PtichkaEL [24]
a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-\sqrt3;\ x_2=\sqrt3;\ x_3=-2;\ a=1\\\\subtitute\\\\(x+\sqrt3)(x-\sqrt3)(x+2)=(x^2-3)(x+2)\\\\=\boxed{x^3+2x^2-3x-6}\to\fbox{B.}
5 0
3 years ago
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Divide polynomial by the monomial. Simplify answer completely.
forsale [732]

Answer:

Hi my lil bunny!

❀ _____.______❀_______._____ ❀

- ( 6x + 1 - \frac{2}{5x} ) or it could be - \frac{30x^2 + 5x -2}{5x}

Step-by-step explanation: Factor the numerator and denominator and cancel the common factors. OR Move the negative in front of the fraction.

Try both of them because they both could be right.

❀ _____.______❀_______._____ ❀

Hope this helped you.

Could you maybe give brainliest..?

7 0
3 years ago
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