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4 years ago

3x < 12 what is this in the interval notation

1 answer:

3 0

Divide by 3 to find the solution.
x < 4

Interval notation uses parentheses around the lower and upper limit of the interval. Here, the lower limit is -∞ and the upper limit is 4. The parentheses are round ( ) if the limits are NOT included as part of the interval. They are square brackets [ ] if the limits are included in the interval.

Here, since -∞ is not an actual number, we use the round bracket on that end of the interval. Since the solution space does not include 4, we use the round bracket on that end of the interval as well.

The solution to your inequality is ...
(-∞, 4)

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The table below represents the closing cost of ABC for the last 5 days. What is the r -value of the linear regression that fits

Gnoma [55]

Answer:

The correct option is D.

Step-by-step explanation:

The linear regression equation is in the form of

$y=bx+a$

Where,

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}$

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}$

The formula of r is

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}$

The values are

$\sum x=15,\sum y=98.91,\sum x^2=55,\sum y^2=1957.8295,\sum xy=293.78, n=5$

Using above formula, we get

$r=-0.85650$

Therefore option D is correct.

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3 years ago

Read 2 more answers

Rewrite 12 1 /5 and 8 7/10 with a common denominator

Liono4ka [1.6K]

Answer:

12 2/10 and 8 7/10

Step-by-step explanation:

5 x 2 = 10

10 = 10

$12 \frac{1}{5} * \frac{2}{2} = 12\frac{2}{10}$

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3 years ago

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles trave

Gennadij [26K]

(B) - Yes, because the amount owed changes by 2.25 every time the miles change by 1.

Starting at 1 mile the price is 2.5 dollars.

Mile 2 is 4.75 dollars. What is the difference between 4.75 and 2.5? 2.25

Mile 3 is 7 dollars. What is the difference between 7 and 4.75? 2.25

Mile 4 is 9.25 dollars. What is the difference between 9.25 and 7? 2.25

Mule 5 is 11.5 dollars. What is the difference between 11.5 and 9.25? 2.25

The change is always 2.25 dollars.

The change is 2.25 dollars per mile.

One way to solve for this is (11.5 - 2.5)/(5-1)=2.25

This is (y2-y1)/(x2-x1). By picking 2 points, (x1,y1) and (x2,y2) you can solve for the slope (rate of change) between them.

7 0

3 years ago

Read 2 more answers

2b + 8 - 5b + 3 = - 13 + 8b - 5

MissTica

I hope this helps you

6 0

4 years ago

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You roll a 6-sided die.<br> What is P(prime)?<br><br> Write your answer as a percentage.

sladkih [1.3K]

Answer:

50%

Step-by-step explanation:

Finding the probability of a single die roll requires little effort.

First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are 2,3,5. Since there are six sides, your answer is:

P(prime) = 3/6 = 1/2 = 50%

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2 years ago