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Contact [7]
3 years ago
6

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)
You might be interested in
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:

<h2>\frac{6}{25}</h2>

Step-by-step explanation:

<h3>\frac{3}{5} ÷ \frac{5}{2} = \frac{3}{5} ÷ \frac{2}{5} = \frac{6}{25}</h3>
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
3 0
3 years ago
Can someone please help me with all the questions ​
LuckyWell [14K]

Answer

i don't think people wanna do it

Step-by-step explanation:

4 0
3 years ago
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