2/3 + 3/4 + 4/2. If a fraction appears in your answer, it should be in simplified form.

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

[tex]\hat{y}=mx+b[/tex]           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

[tex]m\approx 2.55,b\approx -6.435[/tex]

Substitute these values in (i).

[tex]\hat{y}=(2.55)x+(-6.435)[/tex]

[tex]\hat{y}=2.55x-6.435[/tex]

Therefore, the correct option is A.

The graph of regression line is attached below.

The equation of regression line is [tex]y=2.55x-6.435[/tex]

A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.

First we have to enter the given table in graphing calculator,

After entering the data given into table,

We get,   m= 2.55  and b= -6.435

So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]

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Answer:

Here ya go ! :)

Step-by-step explanation:

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Answer

number

4.D

5.B

6.C

Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Answer:

6 and 19

Step-by-step explanation:

x+2x+7=25

3x=18

x=6

the other number is 19

Answer:

#7:  30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)

#8 : 20  Seconds On The Graph All The times go Up by 20 So that is the only Possible answer

#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet  And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On

#10 The Time In Seconds

#11 With slow speed you can guarantee it will not be broken or damaged

I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !

Thanks :)

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

Answer:

the easiest way to get these numbers is to graph the function, i use desmos.

Step-by-step explanation:

the axis of symmetry is -1

the vertex is -1, 0.5

the domain is all real numbers

the range is all real numbers that are <= 0.5

Answer:

Option A is your answer ☺️☺️☺️

Answer:

Step-by-step explanation:jj

Answer:

x=31°

Step-by-step explanation:

2x-7+x+4 = 3x-3

90+3 = 3x

93 = 3x

x = 93/3

x = 31°

Answer:

15 feet

Step-by-step explanation:

if the dog run is a rectangles then the formula for the perimeter is 2h+2l

if we plug in the numbers we know we get this:

2h+2(5)=40

2h+10=40

2h=30

h=15

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Step-by-step explanation:

10(2−4)+5=2−8

10(2x-4)+5=2x-810(2x−4)+5=2x−8

Solve

1

Distribute

10(2−4)+5=2−8

20−40+5=2−8

2

Add the numbers

3

Add 

35

3535

 to both sides of the equation

4

Simplify

5

Subtract 

2

2x2x

 from both sides of the equation

Answer:

m<GLK = 58°

Step-by-step explanation:

Given:

m<GLH = 2x + 6

m<HLJ = x

Required:

m<GLK

Solution:

First, find the value of x

m<GLH + m<HLJ = 180° => Linear Pair Theorem

Substitute

2x + 6 + x = 180

Add like terms

3x + 6 = 180

3x + 6 - 6 = 180 - 6

3x = 174

3x/3 = 174/3

x = 58

m<HLJ = x = 58°

Thus, m<HLJ and m<GLK are Vertical angles.

Therefore:

m<GLK = m<HLJ (Vertical angles theorem)

m<GLK = 58° (Substitution)

Answer: Venus

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given diameters of planets:

Compared, we see the smallest value belongs to Mercury

The second smallest planet is Mars

Answer:

1440°

Step-by-step explanation:

the formula used for this is (n-2)×180° where n=# of sides in the polygon

Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

Answer:

$24

Step-by-step explanation:

5/8=15/x

cross product

8*15=5*x

120=5x

x=120/5

x=24

[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]

[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]

The new dimensions of the pool are; Width = 9 and Length = 20.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.

[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]

The root of the expression;

[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]

The dimensions are;

Width = 3 + s = 9

Length = 14 + s = 20

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Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

The value of the given expression is 5^(3/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be resolved as shown below,

5² ÷ √5

[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]

Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],

[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]

Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],

[tex]= {5^2} \times {5^{-\frac12}}[/tex]

Solving the powers,

[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]

Hence, the value of the given expression is 5^(3/4).

Learn more about Expression here:

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Answer:

C) 395.84 in^2

Step-by-step explanation:

I took the test

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, D, E

OR

The median for the boys is 22

The interquartile range for the boys is 16

The difference between the medians as a multiple of the IQR is 1/4

Step-by-step explanation:

I just did it and got it right

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97

Answer:

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{5}{3-x}[/tex]

Derivative of a quotient:

Suppose we have a quotient:

[tex]f(x) = \frac{g(x)}{h(x)}[/tex]

The derivative is:

[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]

In this question:

Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]

Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]

So

[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Answer:

56°

Step-by-step explanation:

1st reason= alternate angles.

2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.

180-124=56