Twenty students in Mr. Martin’s class each took a survey about the number of minutes they played outside. The box plots represent the amount of time the students spent outside playing in the summer and in the winter. Which statement is best supported by the data? a The range of number of minutes outside is the same in the summer and in the winter. b The median number of minutes outside in the summer is equal to the maximum number of minutes outside in the winter. c The interquartile range for the number of minutes outside is the same in the summer and in the winter. d The minimum number of minutes outside in the summer is the same as the first quartile in the winter.

Note:-

Solved as the all of above is one question

Solution:-

2 ft above

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

Answer:

14 ÷ 10=1.4

Step-by-step explanation:

Answer:

A.

240cm

320cm

400cm

The lengths are 240, 320, and 400cm.

B.

The Angle measurements are the same

37, 53, and 90 degrees.

Step-by-step explanation:

Hope this helps

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

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Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

Answer:

0.3

Step-by-step explanation:

Answer:

2sqrt(5)

Step-by-step explanation:

Using Fourmla of distance between two points

y-axis is the vertical axis on the Cartesian coordinate plane. ... A y-axis is the line on a graph that is drawn from bottom to top. This axis is parallel to which coordinates are measured. The numbers placed on the y-axis are called y-coordinates

Answer:

On the Cartesian coordinate plane, the y-axis is the

vertical axis. A y-axis is a line drawn from bottom to top ona graph. 

This axis runs parallel to the axis along which coordinatesare measured. The numbers on the y-axis are referred to as y-coordinates.

Step-by-step explanation:

-

Answer:

294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

Answer:

1: D

2 (but actually 3) B

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:

4(x+5)=3(x-2)-2(x+2)

4x+20=3x-6-2x-4

Next combine like terms: 4x-3x+2x=-20-6-4

                                           3x=-30

                                             x=- 10

Answer:

a)0.879

Step-by-step explanation:

divide 87.9 by 100

Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

Answer:

$32.13

Step-by-step explanation:

IXL

The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Now,

Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

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Answer:

let

Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x

5.x=9.4

5x=36

x=36/5

x=7.2

answer

Answer:

4) 1400 [tex]in^3[/tex]

5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]

6) 315 [tex]ft^2[/tex]

Step-by-step explanation:

[tex]4)[/tex]

[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]

[tex]5)[/tex]

[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]

[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]

[tex]6)[/tex]

[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]

[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]

[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]

[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]

Answer:

8x - 32

Step-by-step explanation:

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

Answer:

x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14

————————

    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6

Solution

x = -6

y = 5

Answer:

y<-3/2x+1

Step-by-step explanation:

Answer:

78m

Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

Answer:

A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

Answer:

420.9

Step-by-step explanation:

420.86827 ≈ 420.9 because we need to round to one decimal place.

Since 6 is greater than 5, we round 8 up to make it 9

420.9

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