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3 years ago

Solve the following equation for x.

Mathematics

2 answers:

Crazy boy [7]3 years ago

5 0

X=(-4) or X= 4
add 112 to both sides
divide both sides by 7
then take the square root of 16

eduard3 years ago

5 0

Answer:

<u>C. X= -4, X= 4.</u>

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An employee pays what percentage for FICA?

Neporo4naja [7]

<span>FICA takes out a percentage of 7.65% per person </span>

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3 years ago

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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

Which statements about the graph of the function f(x) = -x - 4x + 2 are true? Select three options.

stich3 [128]

Answer:

The option "The function has a positive y-intercept" is true because f(0) = 2, which is the y-intercept.

Step-by-step explanation:

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3 years ago

Please help me solve for x

kkurt [141]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°

$\qquad \sf \dashrightarrow \: 130 \degree + 7x + 1 \degree = 180 \degree$

$\qquad \sf \dashrightarrow \: 131 \degree + 7x = 180 \degree$

$\qquad \sf \dashrightarrow \: 7x= 180 \degree - 131 \degree$

$\qquad \sf \dashrightarrow \: 7x= 49 \degree$

$\qquad \sf \dashrightarrow \: x=49 \degree \div 7$

$\qquad \sf \dashrightarrow \: x=7 \degree$

The required value of x is 7°

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2 years ago

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6x4/8x7/9 what is the answer and have to solve it

telo118 [61]

Answer:

$6\cdot 4\div 8\cdot 7\div 9=$ 21/9

Step-by-step explanation:

Follow PEMDAS and Order of Operations

7 0

2 years ago

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