What are the measures of x,y & z?

Question:

At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:

Answer:

[tex]Probability = \frac{1}{125}[/tex]

Step-by-step explanation:

Given

Population = 12,500

Selection = 100

Required

Determine the probability that the selected person will win a prize

To do this, we simply divide the number of those that needs to be selected by the total population;

i.e.

[tex]Probability = \frac{Selection}{Population}[/tex]

[tex]Probability = \frac{100}{12500}[/tex]

Divide the numerator and denominator by 100

[tex]Probability = \frac{1}{125}[/tex]

Hence, the required probability is ;

[tex]Probability = \frac{1}{125}[/tex]

Answer:

Step-by-step explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

Answer: The answer is B) there is no such number.

Step-by-step explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i, [tex]\sqrt{-1}[/tex] )

And our choices here are:

-  -4/2

-  there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.

Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

Answer: [tex]900[/tex]

Multiply

[tex]-18*-10=180[/tex]

Multiply

[tex]180*5=900[/tex]

Note

Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)

Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)

Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)

Answer:

1/15

Step-by-step explanation:

Total no. of balls = 2+3+5 = 10

No. of red ball =2

Probability of 1st being red = 2/10 =1/5

Probability of 2nd being blue = 3/9 =1/3

Therefore, chance that one will be red and the other blue, in any order

= 1/5×1/3 = 1/15

A corollary needs theorem to be proven true.

" A corollary is defined as the statement which either need little explanation or no explanation to prove true. It is based on already proven statements."  

According to the question,

Inverse is not consider as already proven statement. It is function which needs to calculate.

Hence, Inverse is not true.

Identity are formula which is not a geometric term.

Hence , identity is not true.

Theorem are geometric term, which can be used to prove other statements true as it is already proved.

Hence, corollary needs theorem to be proven true.

Common notion are like postulates which are consider as without proof. Common notion are not limited to geometry.

Hence, common notion is not true.

Therefore, A corollary needs theorem to be proven true.

Learn more about corollary here

https://brainly.com/question/19123722

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Answer:

[tex]a_n = 2S - a_1[/tex]

Step-by-step explanation:

Given

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Required

Determine the formula for [tex]a_n[/tex]

What this question implies is to solve for [tex]a_n[/tex]

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Multiply both sides by 2

[tex]2 * S = \frac{a_1 + a_n}{2} * 2[/tex]

[tex]2 S = a_1 + a_n[/tex]

Subtract [tex]a_1[/tex] from both sides

[tex]2S - a_1 = a_1 - a_1 + a_n[/tex]

[tex]2S - a_1 = a_n[/tex]

[tex]a_n = 2S - a_1[/tex]

Hence; the formula to solve [tex]a_n[/tex] is [tex]a_n = 2S - a_1[/tex]

Answer:

an=2S-a1n/n

Step-by-step explanation:

Answer:

constant function has the same output no matter what are the inputs and it is written in the form : y=b where b is a constant  that does not change. the slope of this function always equal to zero.

slope intercept form : y=mx+b ( where m=0)

constant form : y=b ( y equal a constant that does not change)

An odd function is a function of a form [tex]y=x^n[/tex] where n is an odd number.

Some examples would be functions:

[tex]y=x,y=x^3,\dots[/tex].

A formal definition of odd function is the following.

(Algebraic proof).

Let [tex]f:\mathbb{R}\to\mathbb{R}[/tex] (real function).

The function is odd if the below equation is true for all x and -x for which the function is defined:

[tex]f(x)=-f(-x)[/tex].

Hope this helps.

Answer:

x= 11

Step-by-step explanation:

(7x -1)° + (9x +5)°= 180° (adj. ∠s on a str. line)

7x -1 +9x +5= 180

16x +4= 180 (simplify)

16x= 180 -4 (-4 on both sides)

16x= 176 (simplify)

x= 176 ÷16

x= 11

The sum of the angles on a straight line is 180°

Answer:

I would believe it is the final answer by the way it's put! hope this helps :)

The correct inequality is 43x + 72 ≤ 1,128.

Given,

Jasmine wants to use her savings of $1,128 to buy video games and movies.

The total price of the movies she bought was $72.

The video games cost $43 each.

We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.

We have,

< - less than

> - greater than

≤ - less than and equal

≥ - greater than and equal

Find the total cost of the movies.

= $72

Find the cost of each video game.

= $43

Find the savings Jasmine has.

= $1,128

The amount Jasmine can use to buy movies and video games is $1,228.

So, we can use less than or equal to $1,228 to buy movies and video games.

i.e ≤ $1,128

We have,

Cost of movie = $72

Cost of each video game = $43

We can write the inequality as:

$72 + $43x ≤ $1,128

Where x is the number of video games.

Thus the correct inequality is 43x + 72 ≤ 1,128.

Learn more about the writing system of inequality for buying two items with a total of 80 items here:

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Answer:

The expression = -75

Step-by-step explanation:

Evaluate: Enter a number for each variable.

−x2+7(y+2)−1

x=

5

y=

-9

Evaluate for x=5,y=−9

−52+7(−9+2)−1

−52+7(−9+2)−1

=−75

f(x) = 2x + 3 and g(x) = [tex]\dfrac{x+3}{2}[/tex] ✔

This function pairs are Inverse.

Answer:

see below

Step-by-step explanation:

This has only 4 sides and a pentagon has 5 sides

This is a quadrilateral ( 4 sided)

This is a special 4 sided figure called a trapezoid

Answer:

Step-by-step explanation:

pentagon= 5 sides

Quadrilateral=4 sides

parallelogram=4 sides

Rhombus=4 sides

square=4 sides

Rectangle=4 sides

Trapezoid=4 sides

all these of 4 sides come under Quadrilateral.

Answer:

2/7

Step-by-step explanation:

Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:

(2x3x4x5x6x)/(3x4x5x6x7)

Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)

Therefore we are just left with 2/7.

Hope this helped!

Answer:

17.60

Step-by-step explanation:

Look at the room carefully, the length of the room is 11 feet

And the height = 10 feet

The area of the 4 walls of the room = 4( 11×10) = 440 sq ft

Area covered by each roll = 25 sq ft

= 440/25 = 17.60 rolls

Therefore we require 17.60 rolls to cover a rectangular room on all four sides.

Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

Answer:

The value of x is 12°.

Step-by-step explanation:

Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.

In order to find the value of x, you have to make ∠BAC = ∠CAD

[tex]∠BAC = ∠CAD[/tex]

[tex]9x - 54 = 4x + 6[/tex]

[tex]9x - 4x = 6 + 54[/tex]

[tex]5x = 60[/tex]

[tex]x = 60 \div 5[/tex]

[tex]x = 12[/tex]

Answer: A. 30+(-12)+70

Step-by-step explanation:

Commutative property of addition is given by : a+b = b+a , where a and b can be any expression of real numbers.

It basically changes the order of the so that simplification of any expression becomes easier.

In A. we use this property as

30+(-12)+70 = 30+[(-12)+70]

= 30 + [70+(-12)]  [we switched order of (-12) and 17]

= 30+70-12

= 100-12

= 88

The rest of the expression already arranged accordingly, there is no need to apply commutative property to change the order of the numbers.

So the correct option is A. 30+(-12)+70.

Answer:

10.758

Step-by-step explanation:

Answer: (1, 1)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

(x1, x2)=(-2, 4)

(y1, y2)=(-1, 3)

-----------------------------------------

 [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

=[tex](\frac{-2+4}{2} ,\frac{-1+3}{2} )[/tex]

=[tex](\frac{2}{2} ,\frac{2}{2} )[/tex]

=[tex](1, 1)[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

72=k3

72/3= k

24= k

So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

She would receive 96 points

Answer:

tndjxisjebducu

ejdjdnebdix

Answer:

C. 3.8 min < ?X - ?Y < 4.8 min

Step-by-step explanation:

Let both flares be X and Y

For X

n1 = 35

Bar x1 =19.4

D1 = 1.4

For Y

n2 = 40

Bar X2= 15.1

S2 = 0.8

√(x1²/n1) + (x2²/n2)

=√ (1.4²/35)+(0.8²+40)

= 0.2683

Critical value, t = 2.032

We now have to calculate margin of error

0.2683x2.032

= 0.545 this is approximately equal to 0.5

Bar x1 - bar X2

= 19.4 - 15.1

= 4.3

At 95% confidence level

4.3+-0.5

4.3+0.5= 4.8

4.3-0.5 = 3.8

Therefore the answer is 3.8min<X-Y<4.8min

Answer:

Undefined

Step-by-step explanation:

Use rise/run, (y2 - y1) / (x2 - x1)

Plug in the values:

(7 + 4) / ( 2 - 2)

11/0

= undefined, since you cannot divide by zero

The slope is undefined

Answer:

0.266666....

Step-by-step explanation:

see the calculator

lol

Answer:

b

Step-by-step explanation:

read the comment