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3 years ago

5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

6 0

Subtract these 2 equations,

5x-5x +3y-y = -4-6

2y = -10

y = -5

-5 is your answer.

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A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

BartSMP [9]

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

4 0

3 years ago

Solve the inequality.<br> 5x - 7 < 8x + 8<br> The solution set is x |

timofeeve [1]

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x - 5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

- 15/3< 3x/3

- 5 < x

5 0

2 years ago

Read 2 more answers

the probability that we encounter a green light at the corner of college and main is 0.35, a yellow light 0.04, and a red light

Ostrovityanka [42]

Answer:

21% probability you will hit a green light on monday and a red light on tuesday

Step-by-step explanation:

When two events, A and B, are independent, we have that:

$P(A \cap B) = P(A) \times P(B)$

In this problem, we have that:

Event A: Green light on monday.

Event B: Red light on tuesday.

The probability that we encounter a green light at the corner of college and main is 0.35

This means that $P(A) = 0.35$

The probability that we encounter a red light is 0.61:

This means that $P(B) = 0.61$

These events are independent, that is, the light color on Tuesday is independent of the color on Monday. So

$P(A \cap B) = P(A) \times P(B) = 0.35 \times 0.6 = 0.21$

21% probability you will hit a green light on monday and a red light on tuesday

8 0

3 years ago

Which of the following is most likely the next step in the series

Phantasy [73]

Answer:

Step-by-step explanation:

In this series we see that an extra two dots (one on the top, one on the bottom of the same column) are being added on the left side.

-> It starts out at 3

-> Next it becomes 5, with the extra two on the left side

-> Now it is 7, with the last set of extra two also on the left side

Using this logic, we can infer that the most likely answer will be A.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

3 0

1 year ago

The equation y - 2 = 3(x + 1) is in point-slope

attashe74 [19]

Y-2=3x+3
Then add two
So y=3x+5
Hope this helps sorry if wrong

5 0

3 years ago