For the school fair, 3 English teachers, 8 math teachers, 5 science ​teachers, and 4 social studies teachers volunteered for the dunking ​booth. ​ ​One of the teachers will be chosen at random for the dunking ​booth. ​ ​Is it likely that a math teacher will be chosen for the dunking booth? Explain your answer.

Answers

Answer 1

Answer:

The likelihood that a math teacher is selected is 2 out of 5 possible cases or 40% chance.

Step-by-step explanation:

Please kindly check the attached files for explanation

For The School Fair, 3 English Teachers, 8 Math Teachers, 5 Science Teachers, And 4 Social Studies Teachers
For The School Fair, 3 English Teachers, 8 Math Teachers, 5 Science Teachers, And 4 Social Studies Teachers
Answer 2

Final answer:

It is likely that a math teacher will be chosen for the dunking booth since the probability is 8 out of 20 or 40%, which is close to a 50% chance.

Explanation:

To determine if it is likely that a math teacher will be chosen for the dunking booth, we need to look at the probability of selecting a math teacher from the total group of teachers. The total number of teachers is the sum of the English, math, science, and social studies teachers, which is 3 + 8 + 5 + 4 = 20. Since there are 8 math teachers, the probability of selecting a math teacher is 8 out of 20, or 40%.

This probability can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, giving us 2 out of 5, or 40%. This indicates that there is a likelihood of 2 in 5 that a math teacher will be chosen, which can be considered likely since it is close to a 50% chance.


Related Questions


A triangle has one angle that measures 35º. Which values could be the measures of the other two angles?

Answers

Answer:

See below.

Step-by-step explanation:

The 3 angles in a triangle add up to 180 degrees, so the sum of the other 2 angles is 180 - 35 = 145 degrees.

So, for example the other 2 angles could be 60 and 85 degrees.

Answer:

75° and 70°

25° and 120°

90° and 55°

Step-by-step explanation:

I got it right

What is the value of a?

Answers

Answer:

a = 13

Step-by-step explanation:

The three angles of any triangle MUST add up to 180°.  Thus, 3a + 8a + 37 = 180, and 11a = 180 - 37 = 143.

If 11a = 143, then a = 143/11 = 13

a = 13

Answer:

a = 13

Step-by-step explanation:

8a + 3a + 37° = 180°

11a + 37° = 180°

11a = 180° - 37°

11a = 143°

a = 143/11

a = 13

What is 1.8-(-3.25)

Answers

Answer: [tex]5.05[/tex]

Flip

Keep: 1.8

Change: - into +

Change: -3.25 into 3.25

Your new problem

[tex]1.8+3.25[/tex]

Add

[tex]1.8+3.25=5.05[/tex]

The expression 1.8 minus negative 3.25 simplifies to 1.8 plus 3.25, which equals 5.05.

The question asks you to calculate the result of the expression 1.8 minus negative 3.25. When you have a minus sign followed by a negative sign, they cancel each other out and it becomes an addition problem. Therefore, the expression simplifies to 1.8 + 3.25.

To calculate this, you add the two numbers:

1.8+3.25

Adding these numbers together gives you 5.05. So, 1.8 - (-3.25) equals 5.05.

3. POPULATION The population of Ghostown, USA is decreasing at a rate of
3 people per year. If there are currently 831 people living in the town,
when will the town be deserted?​

Answers

277 years because 831 people/3 people per year = 277 years

abby has 10 apples, she gives away 5 how many does she have left

Answers

Answer:

5 apples

Step-by-step explanation:

brainliest?

Answer:

5 Apples Are Left

Step-by-step explanation:

Simply subtract the initial total and the apples given away.

10 - 5 = 5 left

Solve for x if 2(5x+2)2=48

Answers

Answer:

x =(-4-√96)/10=(-2-2√ 6 )/5= -1.380

x =(-4+√96)/10=(-2+2√ 6 )/5= 0.580

Step-by-step explanation:

Answer: cccccccccccccc

Step-by-step explanation: <3

The point (−7, -24) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Answers

Answer:

[tex]\sin 253.740^{\textdegree} = -\frac{24}{25} = -0.960[/tex]

[tex]\cos 253.740^{\textdegree} = -\frac{7}{25} = -0.280[/tex]

[tex]\tan 253.340^{\textdegree} = \frac{24}{7} = 3.429[/tex]

Step-by-step explanation:

The point is in the 3rd Quadrant of the Cartesian Plane. Therefore, angle must be between 180° and 270° with respect to the horizontal.

The angle is:

[tex]\theta = 180^{\textdegree}+\tan^{-1}\left(\frac{24}{7} \right)[/tex]

[tex]\theta \approx 253.740^{\textdegree}[/tex]

The values of the trigonometrical functions are computed below:

[tex]\sin 253.740^{\textdegree} = -\frac{24}{25} = -0.960[/tex]

[tex]\cos 253.740^{\textdegree} = -\frac{7}{25} = -0.280[/tex]

[tex]\tan 253.340^{\textdegree} = \frac{24}{7} = 3.429[/tex]

Giselle works as a carpenter

Answers

giselle works as a carpenter is correct

A laundry detergent is sold at four stores.
Size (ounces)
60
54
48
40

Store
Hawkin's Store
Don's Store
Allen's Market
Value Market

Price
$6.50
$5.50
$5.61
$4.50

Which store has the lowest price per ounce?
Hawkin's Store

Answers

Answer:

Hawkins's Store = 60 ounces for 6.50

Don's Store = 54 ounces for 5.50

Allen's Market = 48 ounces for 5.61

Value Market = 40 ounces for 4.50

6.50/60=.10833333

5.50/54=.10185       smallest decimal

5.61/48 = .116875

4.50/40=.1125

Step-by-step explanation:

the answer is Don's Store

hope this helps(:

The store Don's has the lowest price per ounce is $0.10.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here,

In Hawkin's Store:

The cost of 1 ounce is 6.50/60

= $0.11

In Don's Store:

The cost of 1 ounce is 5.50/54

= $0.10

In Allen's Market

The cost of 1 ounce is 5.61/48

= $0.12

In Value Market:

The cost of 1 ounce is 4.50/40

= $0.1125

Therefore, the store Don's has the lowest price per ounce is $0.10.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

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At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hour​ (mph) and the standard deviation of the serve speeds was 10 mph.
Using the​ z-score approach for detecting​ outliers, which of the following serve speeds would represent outliers in the distribution of the​ player's serve​ speeds? ​
Speeds: 65 ​mph, 110 ​mph, and 120 mph.

Answers

Answer:

The speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 mph

Standard Deviation, σ = 10 mph

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

Outlier on basis of z-score:

Any z-score greater than 3 or less than -3 is considered to be an outlier. This rule of thumb is based on the empirical rule.

Calculation of z-score:

[tex]x = 65\Rightarrow z = \dfrac{65-100}{10} = -3.5\\\\x = 110\Rightarrow z = \dfrac{110-100}{10} = 1\\\\x = 120\Rightarrow z = \dfrac{120-100}{10} = 2[/tex]

Thus, the speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds as the corresponding z-score is less than -3.

The area of a rectangle is 8x^2 +14x + 3. the width is 2x +3. What is the length?

Answers

Answer:

4x+1

Step-by-step explanation:

Please see attached image.

Graph the integer 6 and its opposite on the number line. Graph the integer 0 and its opposite on the number line.

Answers

Answer:

Graph the integer 6 and its opposite

Plot -6 and 6 <- the opposite of 6 is -6

Graph the integer 0 and its opposite on the number line

0 and 0 <- The opposite of 0 is itself as it has no negative value

Step-by-step explanation:

Graph the integers between 2 and 6 on a number line

What is the area of the following figure?

Answers

Answer:

69

Step-by-step explanation:

Sorry if its wrong, couldn't read it well

Answer:

The answer is 69cm²

It is kinda hard to see the numbers in the pic, but I hope this was the answer you were looking for!!  :)

What is the value of n in the equation 1 (n – 4) – 3 = 3 - (2n+3)?

Answers

Answer:

n=7/3

Step-by-step explanation:

1 (n – 4) – 3 = 3 - (2n+3)

1. distribute the 1 on the left side and distribute the -1 on the right side

1n-4-3=3-2n-3

2. add like terms

1n-7=-2n

3. move n to one side and by itself

-7=-3n

4. divide -3 to get n alone. Both negatives cancel out each other

7/3=n

Step-by-step explanation:

[tex]1(n-4)-3=3-(2n+3)[/tex]

[tex]n-4-3=3-2n-3\\n+2n=3-3+3+4\\3n=7\\n=\frac{7}{3}[/tex]

Proof

[tex]1(n-4)-3=3-(2n+3)[/tex]

[tex]1(\frac{7}{3} -4)-3=3-[2(\frac{7}{3}) +3]\\1(\frac{7-12}{3} )-3=3-(\frac{14}{3} +3)\\1(\frac{-5}{3} )-3=3-(\frac{14+9}{3})\\\frac{-5}{3} -3=3-(\frac{23}{3})[/tex]

[tex]\frac{-5-9}{3} =\frac{9-23}{3} \\\frac{-14}{3} =\frac{-14}{3}[/tex]

Calculate the following, giving your answer as a fraction in its simplest form:
5/4 x 2/15

Answers

Answer:

1/6

Step-by-step explanation:

[tex]\frac{5}{4} x\frac{2}{15}[/tex] multiply the top number and the bottom to get [tex]\frac{10}{60} = \frac{1}{6}[/tex]

EMERGENCY momoninos operations 1.) 2a-3b divided by 6 2.) 4m+5n divided by 12 3.) 5m-4x divided by -3 4.) 4x+8y-3z divided by 9 5.) 5a+3b+12c divided by -8

Answers

Answer:

1) (a/3) - (b/2)

2) (m/3) + (5n/12)

3) (-5m/3) + (4x/3)

4) (4x/9) + (8y/9) - (z/3)

5) (-5a/8) + (-3b/8) + (-3c/2)

Step-by-step explanation:

1) 2a-3b divided by 6

(2a-3b)/6 = (2a/6) - (3b)/6 = (a/3) - (b/2)

2) 4m+5n divided by 12

(4m+5n)/12 = (4m/12) + (5n/12) = (m/3) + (5n/12)

3) 5m-4x divided by -3

(5m-4x)/(-3) = (-5m/3) + (4x/3)

4) 4x+8y-3z divided by 9

(4x+8y-3z)/9 = (4x/9) + (8y/9) - (3z/9) = (4x/9) + (8y/9) - (z/3)

5) 5a+3b+12c divided by -8

(5a+3b+12c)/(-8) = (-5a/8) + (-3b/8) + (-12c/8) = (-5a/8) + (-3b/8) + (-3c/2)

Suzi bought 5 packages of M&M's, and each package contained 18 candy pieces. She opened the first package and counted 4 green pieces. She then counted 3 green pieces in the second package. Which statement about the candy pieces in the remaining packages is best supported by this information? A. There are fewer than 14 green pieces in all 5 packages. B. There are between 15 and 20 green pieces in all 5 packages. C. There are at least 25 green pieces but no more than 50 in all 5 packages. D. There are more than 50 green pieces in all 5 packages.

Answers

Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages

Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."

The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.

So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax measuring 15 cm by 12 cm by 18 cm, about how many candles can she make after melting the block of wax? Round to the nearest tenth.

Answers

Find the volume of the candle using the formula for volume of a cylinder:

V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8

Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.

Now divide the volume of the block by the volume of a candle:

3240 / 217.8 = 14.88

Round to the nearest tenth = 14.9 candles.

Number of cylindrical candles after melting the rectangular block  is 14.9.

What is cylinder?

" Cylinder is a three dimensional surface formed by two parallel lines and two parallel circular base."

What is volume?

" Volume is the total amount of space occupied by any 3 dimensional body."

Formula used

Volume of a cylinder = π r²h

Volume of a rectangular block = length × width ×height

According to the question,

Height of a cylinder = 6cm

radius of cylinder = 3.4cm

Length of a block = 15cm

width of a block = 12cm

height of a block = 18cm

Volume of a cylinder = [tex]3.14[/tex]× [tex](3.4)^{2}[/tex]×[tex]6[/tex]

                                  =217.8 cubic cm

Volume of rectangular block = [tex]15[/tex] × [tex]12[/tex] × [tex]18[/tex]

                                                 = 3240 cubic cm

Number of candles = Volume of rectangular block / volume of cylinder

                                 = [tex]\frac{3240}{217.8}[/tex]

                                 = 14.88

                                 = 14.9 (nearest tenth)

Hence the Number of cylindrical candles after melting the rectangular block  is 14.9.

Learn more about Number of cylindrical candles here

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What numbers would be needed to complete another bottom row in the pyramid below? I need help fast!

Answers

Answer:

Step-by-step explanation:

the second option

A toy soldier set a selection of 6 weapons for 3 soldiers.
How many different ways can the 3 soldiers be assigned weapons if each soldier is to be assigned only one weapon?

Answers

Answer:

2

Step-by-step explanation:

There are 120 different ways to assign 6 weapons to 3 soldiers, each receiving one weapon, calculated using permutations.

Calculating Permutations for Weapons Assignment

To determine how many different ways 3 soldiers can be assigned weapons from a selection of 6, we need to calculate the permutations of 6 objects taken 3 at a time. We use the permutation formula, which is expressed as P(n, k) = n! / (n-k)!, where n is the total number of items, and k is the number of items to choose. In this case, n is 6 (the total number of weapons), and k is 3 (the total number of soldiers).

We calculate the permutations as follows:

6! / (6-3)! = (6  * 5 * 4) / (3 * 2 * 1) = 120 ways.

Therefore, there are 120 different ways to assign the weapons to the soldiers, with each soldier getting one weapon.

Please answer the question in the picture

Answers

Answer:G

Step-by-step explanation:I HAVE NO IDEA

Answer: G Hope this helped

Someone!!! Please help!!!!!!!!!!

Answers

answer. 137.5 degrees

Step-by-step explanation: 135+140=275/2=137.5

I need help with this I don’t understand what it’s asking.

Answers

Answer:

20

Step-by-step explanation:

Because it is a square table, that means all the sides are even. And to find the area, we do Height * Base. But again, because they're even, we would just need to find 2 numbers that multiply to be 400. And that number, is 20. 20 * 20 = 400. So the length of one side is 20.

If you flip a coin 300 times how many times would you expect the coin to lands head up ? Explain your reasoning (write in complete, mathematically precise sentences).

Answers

Answer: you would expect it to flip about 150 times heads.

Step-by-step explanation: A coin has two sides. There's an equal chance for each side. So 50-50 chance.

300 divided by 2 is 150

(Sorry if it's not the best mathematical way to say it)

A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

b - c = 40

b + c = 50

Adding these equations, we get:

2b = 90

b = 45

So

c = 50 - 45 = 5

Therefore the rate of the boat is 45kph, and the rate of the current is 5kph

Hope this helps :)

Final answer:

The boat has a speed of 45 mph in still water, and the current runs at 5 mph. By using the given times and distances for upstream and downstream travel, we can set up equations to solve for the boat's speed and the current's speed.

Explanation:

To find the rate of the boat in still water and the rate of the current, let's denote the boat's speed in still water as b and the speed of the current as c. When the boat goes upstream, its effective speed is b - c, and when it goes downstream, its effective speed is b + c. We can translate this into two equations based on the information given:

(b - c) × 5 hours = 200 miles (upstream)

(b + c) × 4 hours = 200 miles (downstream)

By dividing the distance by the time, we can solve for the effective speeds upstream and downstream.

b - c = 200 miles / 5 hours = 40 mph

b + c = 200 miles / 4 hours = 50 mph

Add these two equations:

2b = 90 mph

b = 45 mph (boat's speed in still water)

Next, subtract the first equation from the second:

2c = 10 mph

c = 5 mph (current's speed)

So, the boat has a speed of 45 mph in still water, and the current has a speed of 5 mph.

QUESTIONING STRATEGIES
If a cone shares a base with a cylinder, and the
volume of the cylinder is given, along with the
heights of the cylinder and of the cone, how could
you find the volume of the cone?

Answers

Answer:

  cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height

Step-by-step explanation:

Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.

We are told they have a common base area (B), so ...

  V1 = Bh1   ⇒   B = V1/h1

  V2 = (1/3)Bh2 = (1/3)(V1/h1)h2

The volume of the cone is ...

  V2 = h2/(3h1)×V1

"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."

Steve reaches into a bag with 5 red marbles, 3 yellow marbles, and 2 green marbles, and randomly selects one. Then, he puts the marble back, and Sam reaches into the same bag and randomly selects a marble. What is the probability that both guys selected a yellow marble.

You have to answer correctly to recieve all 50 points

Answers

5 + 3 + 2 = 10 total marbles.

Steve picking a yellow one would be 3/10 (3 yellow / 10 total)

The marble is put back, so there will still be 7 marbles in the bag.

Sam picking a yellow one would then be the same as Steve: 3/10

The probability of them both picking yellow would be 3/10 x 3/10 = 9/100

Answer:

0.09

Step-by-step explanation:

Total: 5+3+2 = 10

3/10 × 3/10

9/100

0.09

How do you get area from a triangle

Answers

Answer:

1/2 bh

Step-by-step explanation:

Multiply the base by the height then multiply by 1/2, or divide by 2

Answer:

A=hbb

2            

Step-by-step explanation:

Which statement is true of triangles QRS and MNP?

Answers

The answer is b.
We can do the process of elimination:
We know it's not "a" since all the sides are different.
"B" states that the traingles are similar and "c" states that the traingles are not similar. The angles are the same, which means that the traingles are indeed similar (AA theorem). This eliminates "c", which leaves you with "b".

The stopping distance of a car is modeled by the function d = 0.05r(r + 2) where d is the stopping distance of the car measured in feet and r is the speed of the car in miles per hour. If skid marks left on the road are 75 feet long, how fast was the car traveling?

Answers

Answer:

The car was moving approximately at a speed of 37.74 miles per hour.

Step-by-step explanation:

We are given the following in the question:

The stopping distance of a car is given by

[tex]d = 0.05r(r + 2)[/tex]

where d is the stopping distance in feet and r is speed of the car in miles per hour.

The stopping distance is 75 feet, we have to find the speed of the car,

Putting d = 75 in the equation, we get,

[tex]75 = 0.05r(r + 2)\\r^2 + 2r = 1500\\r^2 + 2r-1500 = 0\\\\r =\dfrac{-2\pm \sqrt{4-(4)(1)(-1500)}}{2}\\\\r\approx -39.74,37.74[/tex]

Thus, the car was moving approximately at a speed of 37.74 miles per hour.

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tittHTMondayWrite the following sentence correctly.Don't forget capital letters and periods.There are 8 mistakes you are looking for.mr conway and his daughter, missconway, are going to paris, franceType here. On a coordinate plane, a line with negative slope goes through (negative 8, 6) and (4, negative 4). A point is at (negative 6, 10).Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (6, 10)? Anatomical barriers play a large role in preventing the entrance of a pathogen into the body. They provide a critical first line of defense. Think about what a potential pathogen like a bacteria or a virus would have to overcome in order to get into your body, or Charlies body, and then into the target tissue to untimely make you sick. List several (at least three) of these critical barriers and how they help to eliminate pathogens. Describe how these mechanisms are or could be related to the symptoms you often get when someone falls ill (for example with the cold or a stomach flu). When Vanessa, a U.S. citizen, purchases a designer dress from Barneys of New York that was made in Milan, Italy, the purchase is: A. both a U.S. and an Italian import. B. a U.S. import and an Italian export. C. a U.S. export and an Italian import. D. neither an export nor an import for either country. what is 88 ? Correct answers only !! A random sample of 25 college males was obtained and each was asked to report their actual height and what they wished as their ideal height. A 95% confidence interval for d = average difference between their ideal and actual heights was 0.8" to 2.2". Based on this interval, which one of the null hypothesis below (versus a two-sided alternative) can be rejected?A. H0: d= 0.5B. H0: d= 1.0C. H0: d= 1.5D. 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The results of a random survey show that 40 out of 75 people plan to vote for Mr.beston for a position on the local school board. Which is the best prediction of the number of people who will vote for Mr.beston if 3,000 people vote c Vocabulario: Los nmerosTeacher GradedAttempt 1Escribe el numero que falta en la serie. (Write the missing number in the series)1. diez veinte, treintacincuenta, sesenta2. quince, treinta cuarenta y cinco,setenta y cinco.3. ochenta, ochenta y cinco, noventa, noventa y cinco4. veintiuno, veintitresveintisiete Highland Mining and Minerals Co. is considering the purchase of two gold mines. Only one investment will be made. The Australian gold mine will cost $1,600,000 and will produce $300,000 per year in years 5 through 15 and $500,000 per year in years 16 through 25. The U.S. gold mine will cost $2,000,000 and will produce $250,000 per year for the next 25 years. The cost of capital is 10 percent. 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