Sasha recorded the height and weight of all of the girls in her physical education course.


Weight Height

99 61

104 61

110 62

133 64

130 65

142 68

146 66

153 67

184 69

185 70




What is the correlation coefficient for the data

Answer:

1/2, 8/10, 0.9

Step-by-step explanation:

Convert to decimals.

8/10 = 0.8

0.9

1/2 = 0.5

Arrange from least to greatest.

0.5, 0.8, 0.9

1/2, 8/10, 0.9

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, two mirror images are created.

Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

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Answer:

[tex]a)41[/tex]

Step-by-step explanation:

[tex]x - 9 < 32[/tex]

[tex]by \: collecting \: like \: terms[/tex]

[tex]x < 32 + 9[/tex]

[tex]x < 41[/tex]

Answer:

B) 24

D) 40

E) 36

Step-by-step explanation:

x - 9 < 32

Add 9 on both parts.

x - 9 + 9 < 32 + 9

x < 41

x is lesser than 41.

24, 40, and 36 are lesser than 41 from the list.

Answer:

[tex]0.000035km[/tex]

Step-by-step explanation:

[tex]1km =1000m \\ x = 0.035m[/tex]

[tex]use \: \: cross \: \: multipication[/tex]

[tex]0.035 \times 1 = 1000x \\ 0.035 = 1000x \\ \frac{0.035}{1000} = \frac{1000x}{1000} \\ x = 0.000035km[/tex]

Answer:

0.000035 kilometer

Step-by-step explanation:

1 kilometer = 1000 meters

x = 0.035 meter

Let the unknown value be x.

Cross multiplication.

1000 × x = 1 × 0.035

1000x = 0.035

Divide both sides by 1000.

(1000x)/1000 = 0.035/1000

x = 0.000035

Answer:

2.5 * 10^-27.

Step-by-step explanation:

(2 x 10^13)^-2

= 2^-2 x 10^-26

= 1/2^2 x 10^-26

= 0.25 x 10^-26

= 2.5 * 10^-27.

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▹ Answer

2.5 x 10⁻²⁷

▹ Step-by-Step Explanation

(2 x 10¹³)⁻²

2⁻²(10¹³)⁻²

0.25 x (10¹³)⁻²

0.25 x 10⁻²⁶

2.5 x 10⁻²⁷

Hope this helps!

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Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

Answer:

f(x)=2(x-3)^2

Step-by-step explanation:

vertex form: a(x-h)^2+k

so find the vertex (h,k) and use it to turn it into vertex form

Answer:

Third Choice: a = 2, b = -3, c = -27

Step-by-step explanation:

The equation to be solved with the quadratic formula must be written in the form

ax^2 + bx + c = 0

2x^2 = 27 + 3x

Subtract 3x from both sides. Subtract 27 from both sides.

2x^2 - 3x - 27 = 0

Now we see we have

a = 2, b = -3, c = -27

Answer: Third Choice

Answer:

  [tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  [tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

Answer:

The answer is below

Step-by-step explanation:

2(ax-by)+(a+4b)=0                   .              .               .         1)

2(bx+ay)+(b-4a) = 0              .                 .                 .         2)

Equation 1 gives:

2ax - 2by + a + 4b = 0          .                .             .      1)

Equation 2 gives:

2bx + 2ay + b - 4a    =    0     .              .                   .     1)

Multiplying equation 1 by a and equation 2 by b :

2a²x - 2aby + a² + 4ab = 0

2b²x + 2aby + b² - 4ab = 0

Adding together:

2a²x  +  2b²x + a² + b² = 0

2x (a² + b²) = -(a² + b²)

2x = -1

x = -1/2

Multiplying equation 1 by b and equation 2 by a:

2abx · 2b²y + ab + 4b² = 0

2abx + 2a²y + ab - 4a² = 0

Subtracting:

2y(a² + b²) - 4(a² + b²) = 0

2y(a² + b²) = 4(a² + b²)

2y = 4

y = 2

Answer:

The correct option is;

A. 30

Step-by-step explanation:

Given that the perpendicular bisector forms two other right angled triangles, we have;

For the larger right angled triangle, hypotenuse length = 100

For the smaller right angled triangle, hypotenuse length = 90

We note that;

y² = x² + 10²

z² = x² + 90²

100² = z² + y ²

Therefore we have;

100² = x² + 10² + z² =  x² + 10² + x² + 90² = 2·x² + 90² + 10²

10000 =  2·x² + 8200

2·x² = 10000 -  8200 = 1800

x² = 1800/2 = 900

x = 30

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Answer: 7.96

Step-by-step explanation:

Rounded to the nearest "Hundredths place" is the second digit in the decimal number which would be 6. 1 is less than 5 so you just get rid of them 1 and qualify it as 7.96

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Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

Answer:

20 or 21 stakes

Step-by-step explanation:

It would be 20 if you were not able to use the extra wood after cutting two 5.5 foot long segments from each lumber. If you can use the extra 1 foot from each lumber then you would have an extra 10 feet of lumber which you could get one 5.5 foot long stake from.

The number of stakes will be 22.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that 5.5 feet long can be cut from 10 lengths of lumber each 12 feet long.

The total length is calculated as:-

Total length = 12 x 10 = 120 feet

Number of stakes = 120 / 5.5 = 21.81 ≅ 22

Hence, the number of stakes is 22.

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Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

Answer:2.9

3

Step-by-step explanation:

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

Answer:

No, because the y-intercepts of lines g and h are different.

Step-by-step explanation:

Answer:

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

[tex]m =\dfrac{0-100}{8-0} = -12.5[/tex]

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).

Answer:

    The x-intercept for the function is (8,0).

   The equation of the function is 25x + 2y = 200.

   The equation of the function is y =-25/2 x + 100.

Step-by-step explanation:

Answer:

The answer is option B.

Step-by-step explanation:

Let < D be x

Since the triangle isosceles < E is also the same as < D

Let < E also be x

Angles in a triangle add up to 180°

x + x + 102 = 180

2x = 180 - 102

2x = 78

Divide both sides by 2

x = 39°

Therefore m < D is 39°

Hope this helps you

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Answer:

4 raised to 4 is 256

Step-by-step explanation:

Answer: 256

Step-by-step explanation:

Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 4 raised by 4 is: 4 x 4 x 4 x 4 and that multiplication results in: 256. I hope and it has helped you ;)