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Tresset [83]
2 years ago
8

3n-5p+2n=10 solve for n

Mathematics
2 answers:
nikdorinn [45]2 years ago
5 0

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.

irina [24]2 years ago
4 0


3n - 5p + 2n = 10
5n - 5p = 10
5n = 10 + 5p
n = 2 + p
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Algebra II Question - Tell whether the ordered pair is a solution of the system, why or why not?
Helen [10]

Answer:

Yes

Step-by-step explanation:

If you graph (2,1) it will be in the gray area. Therefore, if the point is inside the gray, then the answer is yes.

3 0
3 years ago
A web-based company has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next
HACTEHA [7]

Answer:

The null hypothesis was rejected.

Conclusion: The proportions of orders completed on the day of receiving is more than 95%.

Step-by-step explanation:

The hypothesis can be defined as:

<em>H₀</em>: The proportions of orders completed on the day of receiving is not more than 95%, i.e. <em>p</em> ≤ 0.95.

<em>Hₐ</em>: The proportions of orders completed on the day of receiving is more than 95%, i.e. <em>p</em> > 0.95.

The significance level of the test is <em>α</em> = 0.025.

The sample size is, <em>n</em> = 500.

As the sample size is large, the sampling distribution of sample proportion can be approximated by the Normal distribution.

The mean and standard deviation of this distribution are:

\mu=p\\\sigma=\sqrt{\frac{p(1-p)}{n}}

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}} }

The sample proportion is:

\hat p=\frac{X}{n}=\frac{485}{500}=0.97

Compute the test statistic as follows:

z=\frac{0.97-0.95}{\sqrt{\frac{0.95(1-0.95)}{500}} }=2.05

The decision rule is:

If the <em>p</em>-value is less than the significance level <em>α</em> then the null hypothesis is rejected.

Compute the <em>p</em>-value as follows:

p-value=P(Z>2.05)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value = 0.0202 < <em>α</em> = 0.025.

The null hypothesis will be rejected.

<u>Conclusion</u>:

As the null hypothesis was rejected at 2.5% level of significance, it can be concluded that the proportions of orders completed on the day of receiving is more than 95%.

3 0
3 years ago
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Aubrey's office recycled a total of 20 kilograms of paper over 5 weeks. After 8 weeks, how many kilograms of paper will Aubrey's
erica [24]

Answer: 32 kilograms

Step-by-step explanation:

Cross multiply and divide.

20/5

x/8

The answer should be 32.

6 0
4 years ago
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Please help, What is the nth term rule of the quadratic sequence below?<br> -4,1,12,29,52,81,116
Rama09 [41]

Answer:

Tn=3n^2-4n-3

Step-by-step explanation:

6 0
3 years ago
Suppose that the inverse demand for a downstream firm is P = 150 − Q. Its upstream division produces a critical input with costs
kozerog [31]

Answer:

The marginal revenue is MT_d  =   116.66

Step-by-step explanation:

From the question we are told that

    The inverse demand for a downstream firm is  P = 150 -Q

    The cost of the critical input produced by  upstream division is  CU(Q_d) = 5(Q_d)^2

     The cost of the critical input produced by downstream firm  is  Cd(Q) = 10Q

Generally

The marginal revenue of the downstream firm - The marginal cost  of the downstream firm =  Net marginal revenue of downstream

i.e

    MR_d  - MC_d = MT_d

Also  

  The marginal revenue of the downstream firm - The marginal cost  of the downstream firm =  Marginal upstream cost  

       i.e

            MR_d  - MC_d = MC_u

So

     MR_d  - MC_d = MC_u

Generally the total revenue of  downstream firm is mathematically represented as

          TR  =  P *  Q

Here Q stands for quantity produced by the downstream firm  and  TR is the total revenue

         TR  =  [150 - Q] * Q

=>      TR  =  150Q - Q^2

Generally the marginal revenue of the downstream firm is mathematically evaluated as  

         MR_d =\frac{d (TR)}{d Q} =  150 - 2Q

Generally marginal downstream first cost is mathematically evaluated as

         MC_d = \frac{d(Cd(Q)) }{dQ}  =  10

Generally the net marginal revenue of the downstream firm is mathematically represented as

            150 - 2Q   -10  = MT_d

=>        MT_d  =   140 - 2Q

Generally the marginal upstream cost is mathematically represented a

               MC _u =\frac{d [CU(Q_d)]}{dQ_d}  = 10(Q_d)

Generally  Q_d = Q this because Q_d represents the quantity produced by the downstream firm and also  Q is associated with the cost of the downstream quantity  

So

            MC _u =\frac{d [CU(Q)]}{dQ}  = 10Q

=>         10(Q) =  140 -2Q

=>          Q =  11.67

So the net marginal revenue of the downstream firm is mathematically represented as

=>        MT_d  =   140 - 2(11.67)

=>        MT_d  =   116.66

     

7 0
3 years ago
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