2 years ago

Simplify the expression 12y plus 5x plus 8y

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Answer:

20y + 5x

Step-by-step explanation:

Combine like terms

12y + 5x + 8y

20y + 5x

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The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin

NISA [10]

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, $\mu=8.04 g$

Standard deviation, $\sigma=0.08g$

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of machine components

$P(Xx_2)=0.03$

$P(X$

=0.03

From z- table we get

$P(Z1.88)=0.03$

Therefore, we get

$\frac{x_1-8.04}{0.08}=-1.88$

$x_1-8.04=-1.88\times 0.08$

$x_1=-1.88\times 0.08+8.04$

$x_1=7.8896$

$\frac{x_2-8.04}{0.08}=1.88$

$x_2=1.88\times 0.08+8.04$

$x_2=8.1904$

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

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2 years ago

2(b+3)=2 solve and check solution

Alexxandr [17]

2(b+3) = 2
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b = -2

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3 years ago

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Liono4ka [1.6K]

Angles B and D are congruent so:

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bezimeni [28]

The length of the rectangle is 0.25 or 1/4. This is because the area is equal to 5/8 or 0.625, and the width of the rectangle is 2 1/2 or 0.25. So 0.625/2.5 = 0.25 or 1/4.

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