All categories

3 years ago

What is the answer to 3z > - 4.5

Mathematics

1 answer:

Stella [2.4K]3 years ago

3 0

Answer:

$z$

Step-by-step explanation:

$3z > -4.5$

$z > - \frac{4.5}{3}$

$z > -1.5$

$z < 1.5$

You might be interested in

SOLVE Steven had 325 points in 20 games. What was his average points per game?

finlep [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve for x. 4 | x - 7 | + 2 | x - 7 | = 12

miv72 [106K]

Answer: x = 9, 5

Step-by-step explanation:

4 | x - 7 | + 2 | x - 7 | = 12

6 | x - 7 | = 12 added like terms

| x - 7 | = 2 divided both sides by 6

x - 7 = 2 or x - 7 = -2 removed absolute value sign

x = 9 or x = 5 added 7 to both sides of both equations

7 0

4 years ago

Change 2x+y=-4 into slope-intercept form with steps

nikitadnepr [17]

Answer : y = -2x - 4

All you have to do is put y on one side and the 2x on the other side, just make sure to make it negative since you are subtracting it to go on the other side

8 0

3 years ago

Can You Please Explain How To Do Problem #10? Thank you! :)

alexandr1967 [171]

Answer:

separate and square both the top and bottom

the square of square root three is just 3 and the square of 3 (the bottom of the fraction) is 9

so now you have 3(i^2) /9

you can simplify this by three and then i^2 is -1

you now have -1/3 and thats the final answer

6 0

4 years ago

The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

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

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:

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

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

3 years ago