use the graph of a survey of 24 seventh grade students asked to name their favorite hobby to answer the following questions number 1, answer choices 7/8 1/3 1/24 1/8 number 2, answer choices 1/3 1/8 7/8 1/24 (basically every thing is in the photo)

The formula for the volume of a cone is:

V = (1/3)πr^2h

Solving for r:

V = (1/3)πr^2h

3V = πr^2h

r^2 = (3V)/(πh)

r = sqrt[(3V)/(πh)]

Given that V = 660cm^3, h = 14cm and π = 22/7:

r = sqrt[(3 × 660)/(22/7 × 14)] ≈ 7 cm

So the radius is approximately 7 cm.

To find the value of h:

V = (1/3)πr^2h

660 = (1/3)(22/7)(7^2)h

660 = (22/3)(49/7)h

660 = (22/3)(7)h

h = 660 / [(22/3)(7)]

h = 9.45 cm (rounded to two decimal places)

Therefore, the value of h when the volume of the cone is 660 cm^3 is approximately 9.45 cm.

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

19 million

Step-by-step explanation:

The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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Answer:

72 cm ze wszystkich stron

Step-by-step explanation:

promień jest równy bokom kształtu.

Answer:

11.2

Step-by-step explanation:

15×15-10×10=125

Square root of 125 to the nearest tenth is 11.2

Answer:

Step-by-step explanation:

Multiply by the inverse of the coefficient of r², then take the square root.

  \(V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}\)

For V=50, h=15, this is ...

  \({r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}\)

Answer:

\(\frac{9}{80}\)

Step-by-step explanation:

So there is 40marbles in total

The probability of picking a red marble first is \(\frac{10}{40}\) because there is 10 red marbles out of 40 total marbles

Then you replace it and I'm going to assume that you put the red marble back.

Then you would still have 40 marbles and the probability of picking a blue one is \(\frac{18}{40}\) because there is 18 blue marbles.

Then you multiply \(\frac{10}{40}\) and \(\frac{18}{40}\) and that is \(\frac{9}{80}\)

Hope this helps and If I'm wrong pls tell me.

Answer:

534

Step-by-step explanation:

The most appropriate interpretation for the slope of the data given is the height of water in the pool increases by 2 inches per minute. Option (1) is correct.

The slope of a line, also known as its gradient, is the value of the steepness or direction of a line in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.

Given that

Time                       Height

2                                 8

4                                12

6                                16

8                                20

10                              24

The slope of the line = 2

A line's slope is also known as its gradient or rate of change.

The slope can be positive or negative; positive slope values indicate an increase in x as y increases and vice versa.

A negative slope indicates that one variable decreases as the other increases.

Because the slope value given here is positive, we can conclude that the height of the water increases over time.

As a result, the height of the water rises by 2 inches per minute.

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Answer:

f(x)=150+30x

150+30x=300

30x=150

x=5

after 5 years

Answer:

x= -3, 4 or 5

Step-by-step explanation:

if you factor out the expressions, they look like this:

(x+3)(x-4)(x-5) = 0

Answer:

290 + 5m = 985

Step-by-step explanation:

Given information:

From the given information, we can create the following equation:

Initial payment plus extra amount each month for 5 months equals total payment.

⇒ 290 + 5m = 985

To solve the equation:

Subtract 290 from both sides:

⇒ 290 + 5m - 290 = 985 - 290

⇒ 5m = 695

Divide both sides by 5:

⇒ 5m ÷ 5 = 695 ÷ 5

⇒ m = 139

Therefore, the extra amount George paid each month was $139.

Answer: \(\Large\boxed{290+5m=985}\)

Step-by-step explanation:

Given information

Initial cost = $290

Total cost = $985

Number of months = 5 months

Cost each month = ?

Set variable

Let [ m ] be the cost each month

The equation in verble sense

Initial paid + Extra each month = Total cost

Convert verbal equation to mathematical sense

$290 + 5m = $290

Therefore, to find the extra amount paid each month, the equation is \(\Large\boxed{290+5m=985}\)

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EXTRA The following will be solving the derived equation, please ignore this part if it is useless for you.

Given equation

290 + 5m = 985

Subtract 290 on both sides

290 + 5m - 290 = 985 - 290

5m = 695

Divide 5 on both sides

5m / 5 = 695 / 5

m = $139

Hope this helps!! :)

Please let me know if you have any questions

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step explanation:

Answer:

1. 8 x 8 ÷ 2

2. 64 ÷ 2 = 32

Step-by-step explanation:

(7+1) becomes 8 and 8 x 8 becomes 64

64 ÷ 2 = 32

Answer:

\(274\,\text{in}^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)

Answer:

150 yards

Step-by-step explanation:

Since 1 yard = 3 feet,

You can divide 450 by 3 to express it in yards.

450 ÷ 3 = 150

So, the pyramid is 150 yards high.

Answer:

150 yards

Step-by-step explanation:

This one's a special case of a right angled triangle with sides (3, 4, and 5 units)

\(\qquad\displaystyle \tt \dashrightarrow \: 5 \sin \bigg( \frac{ \pi}{3} x \bigg) = 3\)

\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \frac{3}{5} \)

Now, check the triangle, sin 37° = 3/5

therefore,

\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \sin(37 \degree) \)

[ convert degrees on right side to radians ]

\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \sin \bigg(37 \degree \times \frac{ \pi}{180 \degree} \bigg ) \)

There are three more possible values as :

\(\qquad\displaystyle \tt \dashrightarrow \: \sin( \theta) = \sin(\pi - \theta) \)

\(\qquad\displaystyle \tt \dashrightarrow \: sin( \theta) = \sin \bigg( { 2\pi}{} + \theta \bigg) \)

\(\qquad\displaystyle \tt \dashrightarrow \: sin( \theta) = \sin \bigg( \frac{ 3\pi}{} - \theta\bigg) \)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 37 \times \frac{ \cancel \pi}{180} \times \frac{3}{ \cancel \pi} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = \frac{37}{60} \)

or in decimals :

\(\qquad\displaystyle \tt \dashrightarrow \: x = 0.616666... = 0.6167\)

[ 6 repeats at third place after decimal, till four decimal places it would be 0.6167 after rounding off ]

similarly,

\(\qquad\displaystyle \tt \dashrightarrow \: \pi - \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(1 - \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: 1 - \frac{x}{3} = \frac{37}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: - \frac{x}{3} = 0.205 - 1\)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 0.795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times 0.795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 2.385\)

\(\qquad\displaystyle \tt \dashrightarrow \: 2\pi + \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(2 + \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: 2 + \frac{x}{3} = \frac{37}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 0.205 - 2\)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = - 1.795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times -1 .795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = -5.385\)

\(\qquad\displaystyle \tt \dashrightarrow \: 3 \pi - \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(3 - \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: 3 - \frac{x}{3} = \frac{37}{180} \)

\(\qquad\displaystyle \tt \dashrightarrow \: - \frac{x}{3} = 0.205 - 3\)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 2.795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times 2.795\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 8.385\)

" x can have infinite number of values here with the same result, here are the four values as you requested "

I hope it was helpful ~

Answer:

Probability of selecting red tile out of a box containing 3 red,2 white & 5 black tiles = 3/10 = 0.3

Step-by-step explanation:

Probability is the calculation of likelihood of an event.

It can be calculated by Formula : Favourable outcome / Total Outcomes

Example : If a box contain 3 red tiles, 2 white tiles, 5 black tiles

Prob (selecting a red tile) = Favourable outcome (red tiles) / Total Outcomes (total tiles) = 3 / 10 = 0.3

Similarly, prob (white tile) & prob (black tile) = 2/10 ie 0.2 & 5/10 ie 0.5 respectively

Probabilities are used to determine the chances of events.

To determine the probability of selecting a red tile, we start by:

Then divide the number of red tiles by the total number of tiles.

Take for instance, there are 15 red tiles in a total of 60 tiles, then the probability of selecting a red tile is:

\(Pr = \frac{15}{60}\)

Divide 15 by 60

\(Pr = 0.25\)

Hence, the probability of selecting a red tile for the given values is 0.25

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Answer:

Step-by-step explanation:

Percentages are always out of 100 and can be illustrated by fractions.

\(\frac{4}{10}\)   \(\frac{x}{100}\)

To find out x, you multiply 100x4 then divide by 10.

This leaves us with \(\frac{40}{100}\)

Which is also 40%.

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.