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3 years ago

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Which of the following uses the distributive property correctly? 9(m – 2) = 9(m) – 9(2) 9(m – 2) = 9(m) – 2 9(m – 2) = 9 – 9(2)

9(m – 2) = 9(m) + 9(2)

1 answer:

alexira [117]3 years ago

3 0

Its 9m-9(2) make sure to think of the minus sign as a negative because it will equal 9m-18 not 9m+18

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Solve the system using the substitution method<br> 3x-y=4<br> 5x+3y=9

rjkz [21]

First solve the first equation for 'y'
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:

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I'll use the equation
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3 years ago

Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute

Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

The mean M is 3 and
The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%

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4 years ago