Last question on unit test

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

y=kx

say that y is the original prince and x is the sale price

15=k(10)

15/10=k

3/2=k

you can check with the next problem to check if it is the same

25=k(20)

25/20=k

5/4=k

so you take 5/4-3/2=-1/4 so the constant is -1/4

Hope that helps :)

Answer:

7.5%

Step-by-step explanation:

86 - 80 / 80 = 0.075

so 7.5%

The percentage increase in wages of from last year to now is 7.5%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, last year janes wages were $80 per week her wages are now $86 per week.

Now, the difference in wage =86-80

= 6

The percentage increase

= 6/80 ×100

= 7.5%

Therefore, the percentage increase in wages of from last year to now is 7.5%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

37

Step-by-step explanation:

Pythagorean theorem

Answer: 37 (side AB)

Step-by-step explanation:

For this question you would have to use Pythagoras' theorem. Pythagoras' theorem states that c²=a²+b².

so when you put the numbers in the formula you get c²=12²+35²

12²=144

35²=1225

c²=144+1225

c²=1369

Then because you want c on it's own you square root 1369.

c=√1369

c=37

Hope this helps :)

Answer:

23,26,29,32,35,38,41,44

Step-by-step explanation:

In mathematics, WHOLE NUMBERS  are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.  Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.  

Answer:

8

Step-by-step explanation:

good luck. hope this helps.

Answer: True for all x

Step-by-step explanation:

4x - 6 + 2x = 3(2x-2)

Group Like Terms: 4x+2x - 6 = 3(2x-2)

Add Similar Elements (4x+2x=6x): 6x - 6 = 3(2x-2)

Expand: 3(2x-2) ; 6x - 6

6x - 6 = 6x - 6

Add 6 to Both Sides: 6x - 6 + 6 = 6x - 6 + 6t: 6x - 6x = 6x - 6x

Simplify: 6x = 6x

Subtract: 6x - 6x

Simplify: 0 = 0

Both sides are equal in this equation, therefore all values for x is true.

Hope This Helped, Have A Great Day!

it is true

Answer:

left hand side6+2x

6x-6

right hand side

3(2x-2)

6x-6

now

6x-6=6x-6

0=0

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50

Answer:

1/3

Step-by-step explanation:

Slope formula: y2 - y1/x2 - x1

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

Answer:

Like what king of range ? Like far range?

Step-by-step explanation:

Answer:

Interval

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

Answer:

For some sets of data, some of the largest value, smallest value

, first quartile, median, and third quartile may be the same. For instance, you might have a data set in which the median and the third quartile are the same. In this case, the diagram would not have a dotted line inside the box displaying the median. The right side of the box would display both the third quartile and the median. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like:

In this case, at least

25

25

% of the values are equal to one. Twenty-five percent of the values are between one and five, inclusive. At least

25

25

% of the values are equal to five. The top

25

25

% of the values fall between five and seven, inclusive.

Answer:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Step-by-step explanation:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Answer:

9.53 x 10^4

Hope this helps.(～￣▽￣)～

Please mark as Brainiest.

THANKS. \^o^/

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

Answer:

It would be B (15x + 20x)

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

[tex]m=\dfrac{1}{-2+4}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

Answer:

Step-by-step explanation:

The equation of a line with slope of m and y-intercept of b is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

Answer:

D

Step-by-step explanation:

3 represents skateboards and 1 represents bikes. We need to get from 3 to 12 and 1 to the answer by using the same number you used to get from 3 to 12.

To get from 3 to 12 you multiply by 4

3*4=12

So let's go ahead and multiply 1 by 4 as well

1*4=4

Your ratio is now 12:4 and 4 stands for bikes so there are 4 bikes

Answer:

y = -12

Step-by-step explanation:

-4 (8+3y) = 112

-32 -12y = 112

-12y = 144

y = -12

Answer:

-4(8+3y)=112

-32-12y=112

-12y=112+32

-12y=144

y=144÷-12

y=12

Answer:

i dont knoe

Step-by-step explanation:

Answer:

Step-by-step explanation:

4w⁻¹ = 4/w¹ = 4/w