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8_murik_8 [283]
3 years ago
15

10. Suppose that y varies directly with x. When y is 12, x is -3. What is y when x is 4?

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

y = -16

Step-by-step explanation:

Given that,

y varies directly with x. Mathematically, we can write it as follows :

y\propto x

or

y=kx

Where

k is constant

Put y = 12 and x = -3 to find k. So,

k=\dfrac{y}{x}\\\\k=\dfrac{12}{-3}\\\\k=-4

Now put k = -4 and x = 4. So,

y=-4\times 4\\\\=-16

So, the required value of y is equal to -16.

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therefore X= 72/4= 18 . 

Or just use your logic for that answer , 12 /4 is 3 right? 
then multiply 6 by 3


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Help binomial distributions
Ymorist [56]

We have the formula to compute the probability of having exactly k successed over n trials, given a probability p of success (and implicitly a probability 1-p of failure), which is


P(\text{k successed on n trials}) = \binom{n}{k}p^k(1-p)^{n-k}


Now, the probability of at least 3 successes is the union of the following event: exactly three successes,exactly four successes and exactly five successes.


We can compute their probability and sum them:\binom{5}{3}\left(\frac{3}{7}\right)^3\left(\frac{4}{7}\right)^2 + \binom{5}{4}\left(\frac{3}{7}\right)^4\left(\frac{4}{7}\right)^1 + \binom{5}{5}\left(\frac{3}{7}\right)^5 \approx 0.36788


So, the answer is about 36.79%

3 0
3 years ago
a pizza place charges $15 for a pepperoni pizza and $12 for a cheese pizza. the goal is to sell $540 in pizza for the day. The s
Ede4ka [16]

The pizza place should sell 45 cheese pizza in order to reach daily goal.

Step-by-step explanation:

Let, x=pepperoni pizzas and y= cheese pizzas.

And 15x+12y=540

If pizza place runs out of pepperoni pizza, then x=0 we need to find how many cheese pizza (y) must be sold to achieve the goal.

Putting x=0 and finding y,

15x+12y=540\\15(0)+12y=540\\12y=540\\y=\frac{540}{12} \\y=45

So, The pizza place should sell 45 cheese pizza in order to reach daily goal.

Keywords: Word Problems

Learn more about word problems at:

  • brainly.com/question/10710410
  • brainly.com/question/10717746
  • brainly.com/question/11145277

#learnwithBrainly

6 0
3 years ago
X2-3xy-5xy-7y2+4x2+8y2
Zepler [3.9K]

For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

4 0
4 years ago
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