Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
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Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer:3.5

0,1,1,3,3,3,4,5,7

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

He  hit it 17/20

We want that as a percent

Multiply by 5/5

17/20*5/5 = 85/100

Percent means out of 100

85%

Answer:

85

Step-by-step explanation:

P(hit) = 17/20 × 100

85%

Answer:

185.68 for perimeter

1652.16 for area

Step-by-step explanation:

Please give me brainliest i hope you do well.!

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

C. =10x+1

y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months

Answer:825

Step-by-step explanation:

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

Read more about equivalent expressions at:

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Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

Answer:

One. see it for the ages of 50-59.

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

Answer:

65

Step-by-step explanation:

In order to find the area you have to complete a formula for triangles going Area =  1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

Answer:

108

Step-by-step explanation:

add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)

Answer:

64°

Step-by-step explanation:

See the angle is smaller than 108° and it is not 90° so the answer is 64°

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Answer: 292

Step-by-step explanation:

The formula is: [tex]a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.

[tex]a_1=[/tex] First term

[tex]d=[/tex] Common difference.

To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]

4-(-2)=?

4+2=?

6 -> this is our common difference

---------------------------------

10-4=?

6 -> this is our common difference

--------------------------------

16-10=?

6 -> this is our common difference

------------------------------------------------------------

Knowing this, we plug into the formula the number we're trying to find.

[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]

Answer:

C. 292

Step-by-step explanation:

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

Answer:

5

Step-by-step explanation:

Y is equal to -50. (y= -50)

Step-by-step explanation: Solve for y

by simplifying both sides of the equation, then isolating the variable.y=−50

Answer:

What is the length of Side X Z?

✔ 5

What is the length of Size Y Z?

✔ 6

The length of side XZ is 5 units.

The length of side YZ is 6 units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the length of side XZ, we can use the distance formula, which is:

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

Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:

[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]

The length of side XZ is 5 units.

To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):

[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]

The length of side YZ is 6 units.

Thus,

The length of side XZ is 5 units.

The length of side YZ is 6 units.

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