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White raven [17]

3 years ago

7

Solve: 3|2x-4|+4>=16

1 answer:

Aleks [24]3 years ago

3 0

Answer:

x=-8.

Step-by-step explanation:

|6x-12|+4=6x-8 and will be -2x=16, so x=-8.

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What is the unit value of the 6 in 216?

eduard

The 6 is in the ones place the 1 is in the tens place and the 2 is in the hundreds place.

8 0

3 years ago

At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

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.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

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

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

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

6 0

4 years ago

There are 336 students attending summer

ra1l [238]

Answer:

126 are boys

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Joe has $60 in a savings account. Each week he deposits $12 in the account. Which expression is equivalent to the total amount i

Romashka-Z-Leto [24]

Answer:

Expression after x weeks AMOUNT =$12*x

Step-by-step explanation:

4 0

3 years ago

Pick out the set of numbers that is not Pythagorean triple

Zielflug [23.3K]

Answer:

$\huge\boxed{9,40,46}$

Step-by-step explanation:

<u><em>Let's check it using Pythagorean Theorem:</em></u>

$c^2 = a^2 + b^2$

Where c is the longest sides, a and b are rest of the 2 sides

1) 9 , 40 , 46

=> $c^2 = a^2 + b^2$

=> $46^2 = 9^2 + 40^2$

=> 2116 = 81 + 1600

=> 2116 ≠ 1681

So, this is not a Pythagorean Triplet

2) 16, 30 and 34

=> $c^2 = a^2 + b^2$

=> $34^2 = 16^2 + 30^2$

=> 1156 = 256 + 900

=> 1156 = 1156

No need to check more as we've found the one which is not a Pythagorean Triplet.

6 0

3 years ago

Read 2 more answers