(2m + 7) - (3 - 4m)

First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:

-1(3 - 4m)

You multiply each number inside the parenthesis by -1.

So:

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:

2m + 7 - 3 + 4m

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3

6m + 7 - 3

6m + 4, is our difference!

6 0

2 years ago

Read 2 more answers

Probability PLZ HELP

Y_Kistochka [10]

Answer:

I cant see the picture srry

Step-by-step explanation:

8 0

2 years ago

Y+5=-11<br> What does y equal?

Brut [27]

Y+5=-11
-5 -5
Y= -16

Answer:-16

8 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05

Tresset [83]

Answer:

(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .

Step-by-step explanation:

We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.

Let X = Distribution of number of surface flaws in plastic panels

So, X ~ Poisson( $\lambda$ )

The mean of Poisson distribution is given by, E(X) = $\lambda$ = 0.05

which means, X ~ Poisson(0.05)

The probability distribution function of a Poisson random variable is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!}; for x=0,1,2,3...$

Now, we know that $\lambda$ for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.

Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5

(a) Probability that there are no surface flaws in an auto's interior =P(X=0)

P(X = 0) = $\frac{e^{-0.5}*0.5^{0}}{0!}$ = $e^{-0.5}$ = 0.6065

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws = $P(X = 0)^{10}$

So, $P(X = 0)^{10}$ = $0.6065^{10}$ = 0.00673

8 0

2 years ago

Find x using the ratio of the sides 12 cm and 16cm​

Find x using the ratio of the sides 12 cm and 16cm