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3 years ago

Tracy used mental math to find 7×38 as shown below. what is x? 7×38 = 7(40-2) = 7(x)- 7(2)

Mathematics

1 answer:

qaws [65]3 years ago

4 0

Answer:

x=40

Step-by-step explanation:

subtract first then multiply

7*38=7x-14

move terms 266=7x-14

calculate-7x=-14-266

divide both sides by -7 (-7x=-280)

solution x=40

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Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)

algol [13]

Answer:

-3c

Step-by-step explanation:

The given expression is:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}$

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c$

Thus, the given expression in simplified form is equal to -3c

5 0

2 years ago

Read 2 more answers

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

2 years ago

*will give brainliest*

emmasim [6.3K]

Answer:

Y = 6 and x=6 are perpendicular because they both measure at a 90 degree angle

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3 years ago

X+10=1/3(5x+10)<br><br> How do you solve this equation?

Nikitich [7]

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify

Lastly, multiply both sides by 3

Then finally simplify for your final answer of x = 10

Hope this helps! :)

3 0

2 years ago

Read 2 more answers

Solve using substitution. <br> 7x-4y=-12<br> 9x-4y=-20

MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

4(y−3)

2 Substitute x=\frac{4(y-3)}{7}x=

4(y−3)

into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

36(y−3)

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

36(y−3)

−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

4(y−3)

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

x=−4

y=−4

3 0

2 years ago

Tracy used mental math to find 7×38 as shown below. what is x? 7×38 = 7(40-2) = 7(x)- 7(2)​

Tracy used mental math to find 7×38 as shown below. what is x? 7×38 = 7(40-2) = 7(x)- 7(2)