The median age of the science teachers at Mike’s school is the same as the median age of the math teachers, but the ages of the math teachers show greater variability. Which statement most likely describes the data sets?
The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike’s school.
The average age of the math teachers at Mike’s school is greater than the average age of the science teachers.
The oldest teacher in Mike’s school is a mathematics teacher.

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

Answer:

x = 9

Step-by-step explanation:

According to the midsegment theorem,

HG = ½(QS)

Thus:

21 + 2x = ½(2x + 24)

Multiply both sides by 2

2(21 + 2x) = 2x + 24

42 + 4x = 2x + 24

Collect like terms

42 - 24 = 2x - 4x

-18 = -2x

Divide both sides by -2

9 = x

x = 9

Answer:

28

Step-by-step explanation:

Answer:

[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]

Step-by-step explanation:

We can determine the power of a complex number by the De Moivre's Theorem, which states that for all [tex]z = r\cdot (\cos \theta + i\,\sin\theta)[/tex], where [tex]a, b \in \mathbb{R}[/tex], the power of the complex number is:

[tex]z^{n} = r^{n}\cdot (\cos n\theta + i\,\sin n\theta)[/tex] (1)

Where:

[tex]r[/tex] - Magnitude of the complex number, dimensionless.

[tex]\theta[/tex] - Direction of the complex number.

If we know that [tex]r = 1[/tex], [tex]n = 4[/tex] and [tex]\theta = \frac{2\pi}{3}[/tex], then the fourth power of the complex number is:

[tex]z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right][/tex]

[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]

Answer:

ITS B ON EDGE

Step-by-step explanation:

Answer:

the other persons answer is correct

Step-by-step explanation:

Answer: volunteer within each block should live in similar environments to each other when it comes to mosquitos

Step-by-step explanation:

The researchers using a randomized block design should form the blocks by making the;

Volunteers within each block should live in similar environments to each other when it comes to mosquitos.

       A randomized block design is simply a type of experiment where the experimental units are put in groups known as blocks.

Now, we are told that;

- A company is designing an experiment where volunteers will be assigned either the bracelet or bug spray to use at their homes.

- They are doing the experiment because they want to make a bracelet that can repel mosquitoes so people don't have to wear bug spray anymore.

        Now, this implies that the environment they find themselves has a big impact on the outcome of the experiment. This is because different environments could have different exposure conditions to mosquitoes and as a result it will be better for them to be within the same environment for better experimental results.

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Answer:12/16

Step-by-step explanation:

The probability that a female student has an A in the class is 0.8 or 80%.

To calculate the probability that a student has an A given that the student is female, we can use the formula for conditional probability:

[tex]P(A|F) = \dfrac{P(A U F)} { P(F)}[/tex]

where P(A|F) is the probability of having an A given that the student is female, P(A and F) is the probability of being both female and having an A, and P(F) is the probability of being female.

We are given that there are 25 students in the class, 15 of whom are female and 16 of whom have an A. We are also given that there are 12 students who are both female and have an A.

Using this information, we can calculate the probabilities as follows:

P(F) = 15/25 = 0.6

P(A and F) = 12/25

The probability that a student has an A given that the student is female is:

[tex]P(A|F) = \dfrac{P(A U F)} {P(F)} \\P(A|F) = \dfrac{\dfrac{12}{25} }{ (\dfrac{15}{25})} \\P(A|F)= 0.8[/tex]

The probability is 80%.

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Answer:

x² - 25

Step-by-step explanation:

Given:

(x-5)(x+5)

Find:

Product

Computation:

(x-5)(x+5)

(a+b)(a-b) = a² - b²

(x-5)(x+5) = x² - 5²

(x-5)(x+5) = x² - 25

Alternate:

(x-5)(x+5)

x² + 5x - 5x - 25

x² - 25

Answer:

C. [tex] f(-1) = 0 [/tex]

Step-by-step explanation:

The value of [tex] f(-1) [/tex], is the value of [tex] f(x) [/tex] when x = -1.

What we are being asked to find what value of [tex] f(x) [/tex] corresponds with x = -1. Or what output would an input of value of -1 give us.

From the table given, when x = -1, [tex] f(x) = 0 [/tex].

Therefore, the value of [tex] f(-1) = 0 [/tex].

Answer:

1 : 3, 1/3, 1 to 3

Step-by-step explanation:

if there is 1 dog, the first digit is 1

if there is 3 cats, the first digit is 3

1:3

Answer:

The equation would be 9x=y

Step-by-step explanation:

The equation for the counselor and the camper will be y = 9x

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation will be formed as:-

The number of campers, y, that there is for x counselors so equation will be given as.

Y = 9x

For one counselor there are 9 campers and for 2 there will be 18 counselors the graph of the equation is also attached with the answer.

Therefore the equation for the counselor and the camper will be y = 9x

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Answer:

A = 18 cm²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The 2 legs are perpendicular to each other , so

b = 6 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²

Answer:

83

Step-by-step explanation:

x+7+90

x=83

The value of x is ABCD a kite would be 83 units. The correct answer would be an option (A).

A rhombus is a quadrilateral having four equal-length sides that are parallel to one another.

As we know Rhombuses' opposing interior angles are congruent, and their diagonals always bisect each other at right angles.

As per the given figure, this means (x + 7) = 90 degrees

⇒ (x + 7) = 90

⇒ x = 90 - 7

Apply the subtraction operation, and we get

⇒ x = 83

Thus, the value of x is ABCD a kite would be 83 units.

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Answer:

Answer # 1 and answer #4

Step-by-step explanation:

If line XY is a bisector, it divided the line YW in half, therefore making ZY equal to ZW

Euclids 1st book proposition 13 states that a line standing on another line makes 2 right angles. therefore <YZW is a right angle because that angle plus <WZX must be equal to 180 and line YW splits the angles in half

Answer:

10 and 16

15 and 24

20 and 32

Step-by-step explanation:

Brainliest please?

Answer:

check image for answers

Answer:

C. 3/4 = 9/12

Step-by-step explanation:

The reason 3/4 = 9/12 is a proportion is because this....

You multiply 3*3 and 4*3 to get 9 and 12 = 9/12

Hope this helps!

Answer

The answer is 3/4 = 9/12.

Step-by-step explanation:

Answer:

a * c^2 = b

Step-by-step explanation:

you would want to multiply both sides of the equation by c^2

a * c^2 = b

That gets you this formula you can then plug your numbers in

Answer:

The answer is C

Step-by-step explanation:

Answer:

The fraction [tex]\frac{3}{6}[/tex] is equavilent to [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Any fraction less than [tex]\frac{1}{2}[/tex] Is the answer to your question.

Examples: [tex]\frac{1}{4}[/tex], [tex]\frac{2}{8}[/tex], [tex]\frac{1}{9}[/tex], [tex]\frac{4}{9}[/tex], etc.

There is a wide variety of fractions that could be the answer to this question, like I said before, Any fraction less than [tex]\frac{1}{2}[/tex]. I did not see any answer choices so I did my best to answer this properly for you. Hope this helps you.

Hello!

[tex]\large\boxed{b = 10in}[/tex]

Formula for the area of a triangle:

A = 1/2(bh)

We are given the height and area, so we can plug those into the formula to solve for b:

90 = 1/2(18b)

Multiply both sides by 2:

180 = 18b

Divide both sides by 18:

b = 10 inches.

Answer:

10inches is equal to the base

Step-by-step explanation:

formula for finding the area of a triangle is

½bh which is half times base times height

-base is unknown, height is 18 and area is 90.

-½x*18=90

½of 18 is 9

1x*9=90

9*x=9x

therefore:9x=90

we devide both sides by the co-efficient of x which is 9

9 dividing 90 is 10.

therefore x is equal 10

Answer:

(6,7)

Step-by-step explanation:

Answer:

the answer is (6,7)

Step-by-step explanation:

This is for the ed students :)!

Answer:

The other girls answer was correct

for the top boxes from left to right...

3.5 plus 4.5

bottom boxes

9.5 minus 3.5

Step-by-step explanation:

Answer:

It's a 180 rotation

Step-by-step explanation:

The first set of chords are in the first quadrant while the second set of chords are in the third quadrant. If you draw the first triangle on a second sheet of paper in the same place a the first triangle and hold the paper so that the triangle you drew of the first triangle is directly on top of the first triangle and then hold the paper at the point (0,0) and move the paper 180 degrees, it doesn't matter which direction cause it's 180 degrees, the points of the triangle will have ended up in the third quadrant. So it's 180 degree rotation

Answer:

32

Step-by-step explanation:

4(2)+8(3) is the equivalent to 8+24, getting you to the answer of 32 once you add them together. Hope this helped! <3

Answer:

x = 3 and y = 1

Step-by-step explanation:

The given equations are :

6x + 14y = 32  ...(1)

6x - 14y = 4 .....(2)

Add equation (1) and (2) :

6x + 14y + 6x - 14y = 32 + 4

12x = 36

x = 3

Put the value of x in equation (1)

6(3) + 14y = 32

18 + 14y = 32

14y = 32-18

14y = 14

y = 1

Hence, the value of x is 3 and y is 1.