2 years ago

which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18

Mathematics

1 answer:

Vinvika [58]2 years ago

3 0

Answer:

(6, 12)

Step-by-step explanation:

{ 3x - y = 6

{ x - 2y = -18

by using elimination:

6x -2y=12

x - 2y= -18

________-

5x = 30

x = 6

y = 18-6 = 12

the solutions = {(6, 12)}

You might be interested in

If 12 cars are needed to get 36 students to the end of the road with their packs, how many cars will be needed to get 9 students

Solnce55 [7]

Answer:

3 cars

Step-by-step explanation:

3*3 = 9

7 0

2 years ago

Malachy and Paul win some money and share it in the ratio 4:5. Malachy gets £44. How much did Paul get?

Ksju [112]

9514 1404 393

Answer:

£55

Step-by-step explanation:

Multiplying the given ratio units by 11 tells you the answer.

4 : 5 = 44 : 55

Paul got £55.

3 0

2 years ago

Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard

ivann1987 [24]

Answer:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

$X \sim N(\mu= 74, \sigma =8)$

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.