Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min

Answer:

A' (- 4, 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply each coordinate by the scale factor , that is

A (- 6, 9 ) → A' ([tex]\frac{2}{3}[/tex] (- 6), [tex]\frac{2}{3}[/tex] (9) ) → A' (- 4, 6 )

Answer:

90 months

Step-by-step explanation:

Let x = number of months

Let y = total cost of deal

Big City Nissan

   y = 3000 + 420x - 840

⇒ y = 2160 + 420x

Rye Town

y = 3960 + 400x

Equate the equations and solve for x

   2160 + 420x = 3960 + 400x

⇒ 420x - 400 x= 3960 - 2160

⇒ 20x = 1800

⇒ x = 90

The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

Answer:

65 m

Step-by-step explanation:

The length of the mast, 60 m, is a leg of a right triangle.

The distance the wire is from the foot of the mast is the other leg.

The length of the wire is the hypotenuse of the right triangle.

We can use the Pythagorean theorem to find the length of the wire.

a² + b² = c²

60² + 25² = c²

3600 + 625 = c²

c² = 4225

c = 65

Answer: 65 m

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

Answer:

6 units

Step-by-step explanation:

4 1/2 x 1 1/3= 6

Answer:

B

Step-by-step explanation:

The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18

An arithmetic sequence can be expressed as explicitly or recursively

The explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

The recursive formula is given as:

[tex]a_n = a_{n -1} - 4[/tex]

[tex]a_1 = 7[/tex]

Substitute 2 for n in [tex]a_n = a_{n -1} - 4[/tex]

[tex]a_2 =a_1 - 4[/tex]

This gives

[tex]a_2 =7 - 4[/tex]

[tex]a_2 =3[/tex]

Calculate the common difference (d)

[tex]d = a_2 -a_1[/tex]

[tex]d = 3- 7[/tex]

[tex]d = -4[/tex]

The explicit formula is then calculated as:

[tex]a_n = a_1 + (n - 1)d[/tex]

This gives

[tex]a_n = 7+ (n - 1)*-4[/tex]

Expand

[tex]a_n = 7+4 - 4n[/tex]

[tex]a_n = 11 - 4n[/tex]

Hence, the explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

Read more about arithmetic sequence at:

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Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t    where t is the time rented in hours

8.5t = 80 - 12 = 68

t = 68/8.5

=  8 hours.

The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.

From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.

Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.

Therefore, the relative risk will be:

= (12/12 + 37) / (4/4 + 26)

= 12/49 / 4/30

= 1.8367

In conclusion, the correct option is 1.8367.

Learn more about relative risk on:

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Using the confidence interval, it is found that the correct option is:

There is convincing evidence because the entire interval is above 0.

It gives convincing evidence when 0 is not part of the confidence interval.

In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:

There is convincing evidence because the entire interval is above 0.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Answer:

There is convincing evidence because the entire interval is above 0.

Step-by-step explanation: EDGE 2022

Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z

You need to use ABC instead of XYZ because it is unclear which one is B.

Answer:

FIRST ONE IS 300

Step-by-step explanation:

5X8X7.5=300 l x w x h

Answer:

Question A:
Your Answer would be:
C.) 300ft2

5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2


Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

A=24

Step-by-step explanation:

First, we do the equations in the brackets(2x6) which is 12.

Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.

Then we x4 so the answer is 24.

a = 24

Step-by-step explanation:

[tex]\rm \: a = \frac{1}{2} (2 \times 6) \times 4 \\ \\ \rm a= \frac{1}{2} (12) \times 4 \\ \\ \rm a= \frac{12}{2} \times 4 \\ \\ \rm \: a = 6 \times 4 \\ \rm \: a = 24[/tex]

Answer:

  = 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

  12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

  12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26

Answer:

81 blue

54 red

Step-by-step explanation:

let me know if this is helpful!

Answer:

6 cookies

Step-by-step explanation:

half of twelve is 6

12/2=6

Answer:

  $102

Step-by-step explanation:

The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.

  morning hours = 12:15 -8:15 = 4:00

  afternoon hours = 17:30 -13:00 = 4:30

  total hours worked = morning hours + afternoon hours

  total hours worked = 4:00 +4:30 = 8:30

This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.

The pay is the product of the hours worked and the pay per hour:

  pay = (8 1/2 hours) × ($12 /hour) = $102

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

In this problem:

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

Answer:

A

Step-by-step explanation:

a quartic trinomial is a polynomial of degree 4 , with 3 terms

The only polynomial to fit this description is A

Answer:

16 11/2

Step-by-step explanation:

ezz

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

[tex]ED\times EC= EF^2[/tex]

[tex]\implies x(x+x+7)= (15)^2[/tex]

[tex]\implies 2x^2+7x= 225[/tex]

[tex]\implies 2x^2+7x-225=0[/tex]

Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]

Now, by quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]

[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]

[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]

[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]

[tex]\implies x=9\: or\:x=-12.5 [/tex]

x represents length, so it can't be negative.

[tex]\implies x\neq -12.5[/tex]

[tex]\implies x=9[/tex]

CD = x + 7

-> CD = 9 + 7

-> CD = 16

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

[tex]\bf{\displaystyle\frac{6}{16}}[/tex]

Divide the numerator (6) and denominator (16) by 2:

[tex]\bold{\displaystyle\frac{3}{8}}[/tex]

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is [tex]\frac{6}{16}[/tex].

It a even number thus, we can simplify:

[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]

[tex]=\frac{2\cdot \:3}{16}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]

[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{3}{8}[/tex]

Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]

`~lenvy~`

Answer:

Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.

Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105

Answer:

x = -14 I hope this helps :)

Answer:

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

Answer:

each notebook would cost $4

Step-by-step explanation:

21-13=8.    8/2=4