The numbers 1 - 30 are written down on pieces of paper and placed in a hat for
students to to randomly select.

the correlation coefficient for Alfonso survey is 0.36.

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

The table below shows the values of the data x, y and the correlation calculations.

The formula of correlation coefficient is

[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]

From the table substitute all the values.

⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]

⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]

⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]

⇒ [tex]r=\frac{116}{324.81}[/tex]

⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]

Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.

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Answer:

m∠QRS = 52°

Step-by-step explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

               = 2×(26°)

               = 52°

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

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Answer:

13.5 and 2.76

Step-by-step explanation:

Answer:

270 calories

Step-by-step explanation:

1=6

x=42

cross multiply

x=7

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Answer:

27

Step-by-step explanation:

7 / 4/5 = 8.75 or 8 3/4

3 1/2 / 3/4 = 4 2/3

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hope it helps

-x/2+4<12

      -4  -4

-x/2<8

  *2  *2

-x<16

/-1 /-1

x<-16

---

hope it helps

Answer:

A. 4

B. 8

Step-by-step explanation:

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Answer:

I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False

hope this helps

Step-by-step explanation:

The statement is false because the area could be changed if the dimensions are changed.

Supposing that there is no direct formula available for deriving the area,

we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.

The statement is false because the area could be changed if the dimensions are changed.

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Answer:

the area is 17.5 ft if the shape is a square/rectangle

the area is 8.75 ft if the shape is a triangle

Step-by-step explanation:

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

Answer:

56 cent per ft²

Step-by-step explanation:

Wall dimension = 35 feets * 21.5 feets

Total cost of paint used = 421.40

Area of wall = Area of rectangle = Length * width

Area of wall = 35 feets * 21.5 feets

Area of wall = 752.5 ft²

Cost of paint per square feet:

Total coast of paint / Area of wall

$421.40 / 752.5 ft²

= $0.56 per ft²

= 0.56 * 100 = 56

Answer:

1

Step-by-step explanation:

3 divided by 1/3 is 9, and 9-9=0

0+1=1

1

Step-by-step explanation:

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

Answer:

0.527

Step-by-step explanation:

From the question,

The sequence is Geometry Progression (G.P)

Tₙ = arⁿ⁻¹.......................... Equation 1

Where n = number of term, a = first term, r = common ratio

Given: n = 7, a = 6, r = 2/3

Substitute these values into equation 1

T₇ = 6(2/3)⁷⁻¹

T₇ = 6(2/3)⁶

T₇ = 6(64/729)

T₇ = 384/729

T₇ = 0.527

Hence, the 7th term of the sequence is 0.527

Answer:

70

Step-by-step explanation:

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

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Answer:-3x^2(9x^5-5)

Step-by-step explanation:

Step-by-step explanation:

-3x2(x2)-9x3+25x2

-3x2(x2+3x-5)

Answer:

N = 39

Step-by-step explanation:

N + 13 = 52

-13. -13

N = 39

Answer:

n = 39

Step-by-step explanation:

To find what n equals, I want to get it alone on one side of the equation.

To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.

13-13=0 so n is the only value on the left side

52-13=39.

You are now left with n = 39

To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Answer:

hi the answer submersible

Answer and Step-by-step explanation:

We see that this is a right angle, which means the entire angle is equal to 90.

We can find what x is by adding this expression and 44 and equaling it to 90.

90 = x + 9 + 44

90 = x + 53

37 = x

The value of x is 37.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3