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Amiraneli [1.4K]
3 years ago
7

PLEASE PLEASE HELP!! Classify this system and determine the number of solutions.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
This system of linear equation has infinite solutions because they are really the same equation.

12x + 3y = 21
3y = -12x + 21  Divide through by 3:-

y = -4x + 7  <-------- which is the first equation
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Tan of the point (3,-2)
jolli1 [7]

Answer:t

you go to the positive of the graph find (3, then you look at the negitive part and find -2 and your answer will get (3,-2)

Step-by-step explanation:

hope it helps

6 0
3 years ago
How much money will Danny have in her account after one year
shusha [124]

Answer:

2080

Step-by-step explanation:

4 0
3 years ago
Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o
hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

<em>Let X =  weight of items produced by a machine</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean weight = 8 ounces

            \sigma = standard deviation = 2 ounces

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X \leq 6.4 ounces)

   P(X < 8.9) = P( \frac{  X -\mu}{\sigma} < \frac{  8.9-8}{2} ) = P(Z < 0.45) = 0.67364  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  6.4-8}{2} ) = P(Z \leq -0.80) = 1 - P(Z < 0.80)

                                                 = 1 - 0.78814 = 0.21186

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of </em>0.67364<em> and </em>0.78814<em> respectively.</em>

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

<em>Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.</em>

8 0
3 years ago
A rare collectible coin was purchased in 1997 for $13,250. Its value has increased by 19% per year. How much would the coin be w
Norma-Jean [14]

Answer:

15767.5

Step-by-step explanation:

7 0
3 years ago
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