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3 years ago

Simplify 4a+3b-(-2a-3b)

Mathematics

1 answer:

Talja [164]3 years ago

8 0

4a+3b-(-2a-3b)
=4a+3b+2a+3b
=6a+6b
=6(a+b)

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javier rode his bike for a total of 41 minutes. before lunch he rode 1 minute less than 5 times the number of minutes he rode af

notka56 [123]

Answer:

Javier rode bike 34 minutes before lunch.

Step-by-step explanation:

Let the number of minutes Javier rode the bike after lunch be = x minutes

Then according to question number of minutes he rode the bike after lunch

$= 5x-1$

Total number of minutes he rode bike = 41 min

Therefore,

$x+5x-1 =41$

On solving

$6x= 41+1 =42$

Divide both side by 6 we get

$x= 7$

Number of minutes he ride before lunch

$= 5(7)-1 = 35-1=34$ min

8 0

3 years ago

What is 3/5 divided by 2 1/2 by the lowest quotient

Brilliant_brown [7]

Answer:

Step-by-step explanation:

7 0

3 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 can i get the answer to 5 X 70 = 5 X ____ tens = ____ tens = _____

Maru [420]

Multiple 5x70 to get 350. Which makes the equation 350=5x and then you have to divide both sides by 5 to get x by itself. so 5x/5 and 350/5 makes x=70

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3 years ago

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LuckyWell [14K]

Answer

i don't think people wanna do it

Step-by-step explanation:

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3 years ago

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