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3 years ago

Evaluate \dfrac{e}{4}+2f-3 4 e +2f−3 when e=12e=12 and f=\dfrac12f= 2 1 .

Mathematics

2 answers:

Verdich [7]3 years ago

4 0

Answer: -406

Step-by-step explanation:

We have the following expression:

$\frac{e}{4}+2f-34e+2f-3$

In addition we know:

$e=12$ and $f=\frac{1}{2}$

If we substitute this in the expresion, we will have:

$\frac{12}{4}+2(\frac{1}{2})-34(12)+2(\frac{1}{2})-3=-406$

pashok25 [27]3 years ago

3 0

Answer:

it equals 1 :)

Step-by-step explanation:

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Which is the better buy? Show your work and explain your reasoning.

Vinvika [58]

Answer:

5.03

Step-by-step explanation:

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3 years ago

Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to

miv72 [106K]

Answer: 1

Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as

P(x=r) = e^-u × u^x/x!

For this question, x = 0 and u = 9.5

Hence we have that

P(x=0) = e^-0 × 9.5^0 / 0!

P(x=0) = 1 × 1/ 1 = 1

5 0

3 years ago

A new television set was recently purchased for the common room in a residence hall for $436.80 including tax the tax rate is 4%

garri49 [273]

Answer:

The price of the television before taxes is $420

Step-by-step explanation:

* Lets explain how to solve the problem

- The purchased price = cost price + taxes

- A new television set was recently purchased for the common room

in a residence hall for $436.80

- This price including tax

- The tax rate is 4%

- We need to find the price of the television before taxes

* Lets solve the problem

- Assume that the price of the television before tax is 100%

∵ The tax rate is 4%

∵ The price after tax = price before tax + tax

∵ The price before tax = 100%

∴ The price after tax = 100% + 4% = 104%

∵ 104% equivalent to $436.80

∴ 100 ⇒ ?

104 ⇒ 436.80

- By using cross multiplication

∴ ? = $\frac{(436.80)(100)}{104}=420$

∴ The price of the television before taxes is $420

6 0

3 years ago

Solve the following system of equations 2x – 3y = 6 4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

$4x +2(-1)=4$

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

3 years ago

Help solve this problem

KATRIN_1 [288]

Answer:

x = -7

Step-by-step explanation:

(x + 14) + (x + 12) = 12

Combine like terms

2x + 26 = 12

Subtract 26 from both sides

2x = -14

Divide both sides by 2

x = -7

5 0

3 years ago

Read 2 more answers

Evaluate \dfrac{e}{4}+2f-3 4 e ​ +2f−3 when e=12e=12 and f=\dfrac12f= 2 1 ​ .

Evaluate \dfrac{e}{4}+2f-3 4 e +2f−3 when e=12e=12 and f=\dfrac12f= 2 1 .