Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle between the height and hypotenuse is labeled 30 degrees. $x=$

Outliers are data elements that are relatively far from the other data elements.

There are 2 high outliers in the data set.

The five number summary is given as:

[tex]\mathbf{Minimum=3}[/tex]

[tex]\mathbf{Q_1=6}[/tex]

[tex]\mathbf{Median=12}[/tex]

[tex]\mathbf{Q_3=13}[/tex]

[tex]\mathbf{Maximum=39}[/tex]

The lower outlier is:

[tex]\mathbf{L = Q_1 - 1.5 \times (Q_3 - Q_1)}[/tex]

So, we have:

[tex]\mathbf{L = 6- 1.5 \times (13 - 6)}[/tex]

[tex]\mathbf{L = -4.5}[/tex]

The upper outlier is:

[tex]\mathbf{U = Q_3 + 1.5 \times (Q_3 - Q_1)}[/tex]

So, we have:

[tex]\mathbf{U = 13 + 1.5 \times (13 - 6)}[/tex]

[tex]\mathbf{U = 23.5}[/tex]

The above computation means that;

Data less than -4.5 or greater than 23.5 are outliers

The data elements in this range are: 26 and 39

Hence, there are 2 high outliers in the dataset

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Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

[tex]54=\dfrac{1}{2}(3n)[/tex]

[tex]2\times 54=3n[/tex]

[tex]108=3n[/tex]

Divide both side by 3.

[tex]\dfrac{108}{3}=n[/tex]

[tex]36=n[/tex]

Hence, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

By using mid-segment theorem for the given triangle, we get

[tex]4n+5=\dfrac{1}{2}(74)[/tex]

[tex]4n+5=37[/tex]

[tex]4n=37-5[/tex]

[tex]4n=32[/tex]

Divide both side by 4.

[tex]n=\dfrac{32}{4}[/tex]

[tex]n=8[/tex]

Hence, the value of n is equal to 8.

Answer:

Factoring Trinomial.

Step-by-step explanation:

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

Answer:

B is the answer....I did this math problem

The zeroes of the quadratic function given are 5/2 + √31 / 2 and  5/2 - √31 / 2.

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given quadratic function is

f(x) = 2x² - 10x - 3

We can find the roots of the quadratic function using the quadratic formula.

Quadratic formula for the quadratic function f(x) = ax² + b x + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a

Here, a = 2, b = -10 and c = -3

Substituting the values,

x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)

  = (10 ± √(100 + 24) ) / 4

  = (10 ± √124) / 4

  = (10 ± √(31 × 4)) / 4

  = (10 ± √31 √4) / 4

  = (10 ± 2√31) / 4

  = 10/4 ± 2√31 / 4

  = 5/2 ± √31 / 2

Hence the roots are 5/2 + √31 / 2 and  5/2 - √31 / 2.

Learn more about Roots of Quadratic Functions here :

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Answer:

4x^2y^5

Step-by-step explanation:

since you have the area total and one side you need to divide since to find the area you would multiply so you must do the opposite sign

Answer:

Step-by-step explanation:

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

Answer:

first one

Step-by-step explanation:

and is this a test?

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

Explanation:

Imagine that a parent bought a basketball for their son or daughter. If they wrapped the ball with wrapping paper, then that wrapping paper can be unwrapped to form a flat sheet. So the area of the sheet corresponds directly to the surface area. If the sheet is say 1 meter by 1 meter, then the area is 1*1 = 1 square meter. We can abbreviate "square meters" into "meter^2" or "m^2".

Answer:

square meters

Step-by-step explanation:

because when you measure in surface area, you use square meters

Answer:

s

Step-by-step explanation:

sdd

Answer:

r = - 2

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

y ar u gay

Step-by-step explanation:

$712.72

780×0.15

117

780−117

663

663×0.075

49.725

49.725+663

712.72

Answer:

It is an Ap (Arithmetic Sequence)

d=4

a=7

n=112

Using the Formula

Sn= n/2[2a + (n-1)d]

Sn= 112/2 [2(7) + (112-1)(4)]

Sn= 56[14 + (111)(4)]

Sn= 56[14 + 444]

Sn= 56(458)

Sn= 25,648.

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

Answer:

yes

there would be 7525 runners

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

6500 x (1.05)^3 = 7525 runners

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

Answer:

the answer is 6 points

Step-by-step explanation:

14-8=6

Answer:

6 points is the answer

Step-by-step explanation:

because it's 14-8=6

→the numbers of given is 14,8

→and Minos it

→like this 14-8=6

and hope it helps

#carryonlearning

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

Answer:1.86*10^5

Step-by-step explanation:

Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.

Answer:

1. 52

2. 13.6

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. What is 65% of 80

Let's set up an equation.

When we see %, we can put that number over 100.

65% = 65/100 = 0.65

"of" means to multiply.

So, 65% of 80 is

0.65 • 80 = x

Multiply.

x = 52

52

2. 34 is what percent of 40?

"is" symbolizes the equals sign (=)

"of" means to multiply.

"what percent" is our unknown.

34 is what percent of 40

34 = x/100 • 40

Divide both sides by 40.

0.85 = x/100

Multiply both sides by 100.

85 = x

85%

Hope this helps!

Answer:

292600

Step-by-step explanation:

A local college is forming a six-member research committee having one administrator, three faculty members, and two students. There are seven administrators, 12 faculty members, and 20 students in contention for the committee. How many six-member committees are possible?

[tex]\frac{7!}{(7 - 1)! 1!} * \frac{12!}{(12 - 3)! 3!} *\frac{20!}{(20 - 2)!2!}[/tex] = 292600

there are seven administrators, and only one is needed. thus there are 7 ways to choose 1 administrator.

there are 12  faculty members, and only 3 are needed. thus there are 12 ways to choose 3 members

there are 20 students and only 2 are needed. thus there are 20 ways to choose 2 students

Answer:

2/3

Step-by-step explanation:

Heres how I got 2/3

So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.

So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.

So we are going to line up 3/5 and 9/10 right next to eachother.

Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.

So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.

So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!

x = 7