Which Statement About The Data Is True? 52 56 60 64 68 72 76 80 A. The difference between the medians is about 4 times the range. B. The difference between the medians is about 4 times the IQR. C. The difference between the medians is about 2 times the range. D. The difference between the medians is about 2 times the IQR.

Answer:

The solution of this system is (9, 2).

Step-by-step explanation:

Substitute x - 7 for 'y' in the first equation.  We get:

x - 3(x - 7) = 3           Doing this temporarily eliminates the variable 'y'.

Now perform the indicated multiplication, and then combine like terms:

x - 3x + 21 = 3, or

-2x = -18

so that x = 9.  Substituting 9 for x in the second equation, we get:

y = 9 - 7, or y = 2.  

The solution of this system is (9, 2).

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]

Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

Answer:

14 m³

Step-by-step explanation:

the volume of pyramid = ⅓× base area × height

= ⅓ × (½×7/3 × 15/2) × 24/5

= (7×15×24)/(3×2×3×2×5)

= 2520/180

= 14 m³

Answer:

b and c

Step-by-step explanation:

Answer:

Hands down c and b

Step-by-step explanation:

Answer:

You would approximate because the hypotenuse might not be a perfect square.

Step-by-step explanation:

Answer:

173*3*j3

Step-by-step explanation:

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Answer:

HIHHIHIHIHIHIHIHIH

Step-by-step explanation:

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Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

The Volume of cylinder

Volume of cylinder = π × r ² × h

Where,

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

a. 3x²+10x+8 = (3x+4)(x+2)

b. 4x²+21x-18 = (4x-3)(x+6)

c. 3x²+8x+5 = (3x+5)(x+1)

d. 6x²+5x-4 = (2x-1)(3x+4)

e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)

f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)

g. 6x²-7x-3 = (2x-3)(3x +1)

h. 6x²-43x+72 = (3x-8)(2x-9)

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

Answer:

Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Step-by-step explanation:

Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:

Container A:

250 ml x 5 bottles: Capacity

250 x 5 = X

1,250 = X

Container B:

175 ml x 7 bottles: Capacity

175 x 7 = X

1,225 = X

Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Answer:

Multiply the numerator and the denominator of the fraction by 2.

Step-by-step explanation:

Here are the options :

Divide the numerator and denominator of the fraction by 2.

Subtract 40 from the numerator and denominator of the fraction.

Multiply the numerator and the denominator of the fraction by 2.

Add 50 to the numerator and denominator of the fraction.

(45 x 2) / (50 x 2) = 90/100

Multiply 90/100 by 100 = 90%

the same answer would be gotten if 45/50 is multiplied by 100

45/50 x 100 = 90%

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

Answer:

[tex]x=\frac{33}{7}[/tex]

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

[tex]\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}[/tex]

Answer:

I don't see the triangular prism.

Step-by-step explanation:

here is the problem if you want to help them

Answer:

25 red marbles

Answer:

D,0,2,-2

Step-by-step explanation:

2x^5-3x^3-20x=0

x(2x^4-3x^2-20)=0

x=0

or 2x^4-3x^2-20=0

put x²=t

2t²-3t-20=0

-20×2=-40

8-5=3

8×-5=-40

2t²-(8-5)t-20=0

2t²-8t+5t-20=0

2t(t-4)+5(t-4)=0

(t-4)(2t+5)=0

t=4

x²=4

x=2,-2

t=-5/2

x²=-5/2

it gives imaginary  root. so real rational roots are 0,2,-2

Answer:

D

Step-by-step explanation:

1) Factorise x

x(2x^4-3x^2-20) = 0

a product is equal to 0 when at least one factor is equal to 0.

so a solution is

x = 0

we have now to solve

2x^4 - 3x^2 - 20 = 0

we can put

x^2 = y

and we have

2y^2 - 3y - 20 = 0

it is now an equation of second degree

Δ = 9 + 160 = 169

y1 = (3 + 13)/4 = 4

y2 = (3 - 13)/4 = -10/4 = -5/2

for the previous relationship we have

x^2 = 4

x = 2

x = -2

x^2 = -5/2

a square number can’t be negative, so this equation is impossible.

In conclusion we can say that the original equation has three solution:

0, -2, 2

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

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Answer:

x = -3

Answer:

A) $24

Step-by-step explanation:

Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.

y = 3(8) = 24

Therefore, the cost of 8 gallons of gasoline would be $24.

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

Step-by-step explanation:

a is the answer to this question

Answer:

d=90   e=27    f=153

Step-by-step explanation:

The angle adjacent to d is 90 degrees. They both add up to 90. 180-90=190. D=90.

E is a vertical angle, congruent to 27.

E=27.

F is a linear pair with 27, which means it's supplementary (adds to 180). 180-27=153.

F=153.