There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?

Using it's concept, it is found that the theoretical probability of Scott rolling a 3 if his number cube is fair is of [tex]\frac{1}{6}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For a theoretical probability, these number of outcomes are taken before any experiment.

In this problem, there are six numbers, one of which is three, hence the probability is given by:

[tex]p = \frac{1}{6}[/tex].

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Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

Answer:

In standard form: (x+2)² + (y-4)² = 98

Use the distance formula to find radius:

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

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d = \sqrt{(-2 - 5)^2 + (4-(-3))^2}[/tex]

[tex]\rightarrow \sf d = \sqrt{(-7)^2 + (7)^2}[/tex]

[tex]\rightarrow \sf d = 7\sqrt{2}[/tex]

Equation of circle:

Answer:

8 hits

Step-by-step explanation:

The ratio is :

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

Harry should make 8 hits in 18 times at bat.

Answer:

y (y/1)

Step-by-step explanation:

the reciprocal of a number is basically what it needs to multiply to to equal to one

so basically you flip the numbers

1/y s reciprocal would be y/1 which is also just y

Answer: y

Step-by-step explanation:

Answer:

[tex]800\pi yd^3[/tex]

Step-by-step explanation:

[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]

Answer: 2513.27 yd³

Step-by-step explanation:

     Volume of a cylinder:

-> This formula means we are finding the area of the base circle and multiplying it be the height

V = πr²h

V = πr²h

V = π(10)²(8)

V ≈ 2513.27 yd³

The volume of the figure is about 2513.27 yd³.

Answer:

is the answer 2 3/4

Step-by-step explanation:

Answer: it would be y/2 if im not mistaken.

Step-by-step explanation: because with x+3/3 the 3 on the top is canceled out leaving x/3 so it would be the same with y+2/2.  I hope im right and that this helps. If not i am sorry.

Answer:

25%???

Step-by-step explanation:

I think

Answer:

5.6

Step-by-step explanation:

4 ÷ 5/7

is 4 divide 5 over 7

which is 5.6

Answer:

A Tens place.

Step-by-step explanation:

last 2 digits are twenty six.

Answer:

C = 28.26 in

Step-by-step explanation:

the circumference (C) is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 9 = 28.26 in

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                 What's the circumference of a circle with a diameter of 9 inches?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

  We are asked to find the circumference of a circle, which we can find using the following formula:-

[tex]\bold{Circumference{(circle)}=\pi d}[/tex]

[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]

Notice that we are not asked to round our answer, so we leave it like that - C=28.26.

                  [tex]\rule{200}{2}[/tex]

An estimate of the percentage of defective items in the population if 5 of 200 items were defective is 2.5%.

The percentage of a defective item out of a total item can be calculated as follows:

% defective item = no of defective item/total no of items × 100

According to this question, in a random sample of 200 items, 5 items were defective.

% defective item = 5/200 × 100

% defective item = 2.5%

Therefore, an estimate of the percentage of defective items in the population if 5 of 200 items were defective is 2.5%.

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Answers:

Across:

Down:

======================================================

Explanations:

Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.

The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.

The reflexive theorem says any segment is congruent to itself, so BD = BD.

Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.

Alternate interior angles are always congruent when we have parallel lines.

The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.

AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.

Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.

In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.

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Answer:

9-1=8

Step-by-step explanation:

he started with 9 but at the end of the day he had 8. meaning he ate 1 peice

Answer:

Exponential Graph

Step-by-step explanation:

The exponential graph of a function represents the exponential function properties.

Another way to known of if the graph's domain is all real numbers

Answer:

Exponential

Step-by-step explanation:

The listed points are :

The y-values are powers of 3 which decrease. Hence, it is exponential.

Answer:

[tex]8[/tex].

Step-by-step explanation:

Notice that in equation for the total dollar amount collected ([tex]12+ 1.75\, n[/tex]), every additional bottle sold at the new price brings in [tex]1.75[/tex] dollars:

[tex]\begin{aligned}& 12 + 1.75\, n && \text{$n$ bottles at new price} \\ -\; & 12 + 1.75\, (n+1) && \text{$(n+1)$ bottles at new price} \\ =\; & 1.75\end{aligned}[/tex].

Therefore, the per-bottle price after the [tex]\$0.25[/tex] price increase would be [tex]\$1.75[/tex]. The per-bottle price before the price increase would be [tex]\$1.75 - \$0.25 = \$1.50[/tex].

Also notice that when [tex]n = 0[/tex], the total amount collected was [tex]t = 12 + 1.75\, n = 12[/tex]. In other words, the total amount collected was [tex]\$12[/tex] before any bottle was sold at the new price.

Thus, the vendor had collected [tex]\$12\![/tex] by selling at the initial price of [tex]\$1.50[/tex] per bottle. The number of bottles sold at that price would be:

[tex]\begin{aligned}\frac{12}{1.50} = 8\end{aligned}[/tex].

Answer:

5x^2 - 4x - 3 = 0

Step-by-step explanation:

For the equation

ax^2 + bx + c = 0

the  roots are   [-b +/- √(b^2 - 4ac)] / 2a

So comparing the terms to the values in the question:

a = 5

b = -4

c = -3

Answer:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

Step-by-step explanation:

A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.

Rule: (x - 3, y - 2)

1. Using the given rule, find the new coordinates of the new image:

P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)

Q': (7, 4) ➺ (7 - 3, 4 - 2)  ➺ (4, 2)

R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)

S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)

New coordinates:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

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Answer:

The average mass of one coffee bag is 75kg.

Step-by-step explanation:

The lorry on its own weighs 3500kg.

If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.

7250kg subtract 3500kg is 3750kg.

There are 50 coffee bags, so this is the mass of all 50.

If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.

3750kg divided by 50 is 75kg.

The average mass of one coffee bag is 75kg.

Answer:

1. See attached

2. largest value = 3 ³/₄ in

3. smallest value = 1 ¹/₂ in

4. It snowed 3 ¹/₄ inches for 3 days

5. To find the two values, add 3 to the smallest value:

⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in

Or subtract 3 from the largest value:

⇒ 3 ³/₄ - 3 = ³/₄ in

Answer:2

Step-by-step explanation:

The slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Taking two points to find the slope of the line:

(0, -20) and (5, -10)

[tex]\rm m =\dfrac{-10+20}{5-0}[/tex]

m = 2

The straight line equation:

y = mx + c

y = 2x + c

Plug (0, -20)

-20 = c

Thus, the slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.

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Answer:

45 m2

Step-by-step explanation:

It was the only reasonable answer lol

9x5=45

The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is  730mm²

The surface area of the solid is the sum of all the net shapes.

Given the following parameters

The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²

The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²

TSA = 525 + 205
TSA = 730mm²

Hence the surface area of the solid that this net can form is  730mm²

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