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2 years ago

Solve the following expression when x = 4, and y = -3. -4(3x - 2y)

2 answers:

7 0

$\text{Solve by plugging in values to the equation:}\\\\-4(3(4)-2(-3))\\\\\text{Solve:}\\\\-4(3(4)-2(-3))\\\\-4(12+6)\\\\-4(18)\\\\\boxed{-72}$

ziro4ka [17]2 years ago

6 0

Answer:

The answer is -72

Step-by-step explanation:

First substitute 4 in for anytime in the equation you see an x. Substitute -3 anytime so see a y in the equation. It should look like this: -4(3{4} -2{-3}). First, multiply 3 with 4 to get 12, and -2 with -3 to get 6. This is what your equation should look like now: -4(12+6). Distribute -4 with 12 and 6 to get: -48-24. -48-24 equals -72. Hope this helped!

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On his bookshelf, Adam has the difference between two-thirds of Brett's books and two-thirds of Charlie's books. If Brett has 84

Gala2k [10]

Answer:

30 books

Step-by-step explanation:

7 0

2 years ago

Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd

Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

The equation of horizontal asymptote is: $\mathbf{y = 40}$
The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

$\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}$

Expand the numerator

$\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}$

Cancel out the common factor

$\mathbf{f(x) = 40}$

Hence, the equation of horizontal asymptote is:

$\mathbf{y = 40}$

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0

2 years ago

There are two games involving flipping a coin. In the first game you win a prize if you can throw between 45% and 55% heads. In

Nina [5.8K]

Answer:

d) 300 times for the first game and 30 times for the second

Step-by-step explanation:

We start by noting that the coin is fair and the flip of a coin has a probability of 0.5 of getting heads.

As the coin is flipped more than one time and calculated the proportion, we have to use the <em>sampling distribution of the sampling proportions</em>.

The mean and standard deviation of this sampling distribution is:

$\mu_p=p\\\\ \sigma_p=\sqrt{\dfrac{p(1-p)}{N}}$

We will perform an analyisis for the first game, where we win the game if the proportion is between 45% and 55%.

The probability of getting a proportion within this interval can be calculated as:

$P(0.45$

referring the z values to the z-score of the standard normal distirbution.

We can calculate this values of z as:

$z_H=\dfrac{p_H-\mu_p}{\sigma_p}=\dfrac{(p_H-p)}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_H-p)>0\\\\\\z_L=\dfrac{p_L-\mu_p}{\sigma_p}=\dfrac{p_L-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_L-p)$

If we take into account the z values, we notice that the interval increases with the number of trials, and so does the probability of getting a value within this interval.

With this information, our chances of winning increase with the number of trials. We prefer for this game the option of 300 games.

For the second game, we win if we get a proportion over 80%.

The probability of winning is:

$P(p>0.8)=P(z>z^*)$

The z value is calculated as before:

$z^*=\dfrac{p^*-\mu_p}{\sigma_p}=\dfrac{p^*-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p^*-p)>0$

As (p*-p)=0.8-0.5=0.3>0, the value z* increase with the number of trials (N).

If our chances of winnings depend on P(z>z*), they become lower as z* increases.

Then, we can conclude that our chances of winning decrease with the increase of the number of trials.

We prefer the option of 30 trials for this game.

8 0

2 years ago

Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than of tomatoes. She bought 3 times as man

Elenna [48]

1(Identifying):

Tomatoes-x--$3 per lb

Mushrooms- 1/3 x-- $10 per lb

Peaches- x+1-- $6 per lb

2(Equation):

3x+6(x+1)+1/3x*10=80

3x+6x+6+10/3 x=80

12 1/3 x= 74

x=74÷(12+1/3)

Step 3(Final Equations):

74*3/37=6=tomatoes

Meaning...

6+1=7=Peaches

6/3=2= mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

7 0

2 years ago

Read 2 more answers

Help me please this is the last question I have to pass ‼️

Annette [7]

The answer is
2
Explanation
You have to do 2/3 x 3 and you do that by multiplying 2 and 3 (6/6)
Which if you split up is 3/3, 3/3 = 2

3 0

2 years ago