the table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for each letter grade to complete the table. Use pencil and paper. What additional information does the relative frequency give that the frequency​ doesn't? Explain.

Answer:

I've attached an image showing the intersection and the angle.

Answer:

C: They are complementary

Step-by-step explanation:

We can see from the image that angle 1, angle 2 and 90° are on a straight line. We know that sum of angles on a straight line is 180°. Thus;

∠1 + ∠2 + 90° = 180°

Rearranging, we have;

∠1 + ∠2 = 180° - 90°

Thus;

∠1 + ∠2 = 90°

Now, from angle proofs in trigonometry, it states that If the non-common sides of two adjacent angles add up to 90°, then it means that the angles are complementary.

In our problem here, sum of ∠1 and ∠2 equals 90°. Also, they are the non-common sides of 2 adjacent angles. Thus, we can say that they are complementary.

Step-by-step explanation:

Answer:

14*2

Step-by-step explanation:

8 x {22 x [15 + (14 x 2)]}

With multiple parentheses work from the inside out

The inner most parentheses are

14*2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = \pm4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]

Answer:

d po

Step-by-step explanation:

sna maka tulong hheeheh

Answer:

please report my answer

Step-by-step explanation:

I want my account deleted

Answer:

17

Step-by-step explanation:

16+17+18=51

I knew the highest number had to be lower than 20. So I did 17+18+19. That didn't work but noticed it was close to 51. Tried 16+17+18 and it equals 51 :)

Answer:

216

Step-by-step explanation:step 1

first you are going to multiply and add all of the things that need to be multipied and added

4x3=12

12x2=24            

172+9= 181

                   ^  12+24+181= 217

second step: put 217 and x+1 in an equation

you cant divide a number with an x, so you have to put it in an equation and solve for x

x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)

x=216

Answer:

  A.  x = 4

  B.  ∠C = 80°

Step-by-step explanation:

The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...

  140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°

  31x +416° = 540° . . . . . . collect terms

  31x = 124° . . . . . . . . . . subtract 416°

  x = 4

__

The measure of angle C is found by substituting the value of x into the given expression for angle C.

  (16x +16)° = (16(4) +16)° = 80°

Angle C is 80°.

_____

Additional comment

It can be useful to remember that the sum of interior angles of an n-gon is ...

  (180°)(n -2)

This can be derived from the fact that the sum of exterior angles is always 360°.

These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.

Answer:

Infinitely many

Step-by-step explanation:

Infinitely many points are contained on a line.

Answer:

infinitely many

Step-by-step explanation:

A line consists of infinitely many points.

hope this helps!! p.s. i really need brainliest :)

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

[tex]\rightarrow[/tex]Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.

√9 = ±3

[tex]\rightarrow[/tex]If we square +3 or -3, the resulting value will be equal to 9.

[tex]\sf{(+3)^2 = 9}[/tex]

[tex]\sf{(-3)^2 = 9}[/tex]

[tex]\rightarrow[/tex]Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;

[tex]\rightarrow[/tex]You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;

➾[tex]\sf{\sqrt{9}}[/tex]

➾[tex]\sf{\sqrt{3×3}}[/tex]

➾[tex]\sf{\sqrt{3^2}}[/tex]

[tex]\rightarrow[/tex]The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,

➾[tex]\sf{\sqrt{9}}[/tex] = ±3

__________________________________

Hope it helps you:)

Answer:

38

Step-by-step explanation:38 because  108. x = 17. 2x + 4 = 34 + 4 = 38

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

Answer:

Answer:

12.3

Step-by-step explanation:

11+6 +9 +16 +12 +18 +14 =86

86/7 = 12.28571

Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit

          (12.3) rounded  to the nearest tenth.

The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.

The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.

Each hour that the hour hand moves, there is an angle of 30°.

The first time that we will have an angle of 90° between the hands is at:

1:20

Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.

The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Answer:

[tex] \frac{19}{3 } \: or \: 3 \frac{4}{5} [/tex]

Step-by-step explanation:

Change the mixed number into a regular fraction.

[tex] \frac{23}{5} - \frac{4}{5} [/tex]

Subtract the numerator.

[tex] \frac{19}{5} [/tex]

As a mixed number:

[tex]3 \frac{4}{5} [/tex]

Answer:

70%

Step-by-step explanation:

First we express this as a fraction:

14/20

Then we express it as a decimal: (by doing 14÷20)

0.7

Now we express it as a percentage by multiplying the decimal by 100:

0.7×100%

70%

Answer:

70%

Step-by-step explanation:

GIven:

Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?

Solve:

14/20 x 100

0.7 x 100

70%

Hence, 70% of his tomato plants he planted.

~Lenvy~

Answer:

[D]

Step-by-step explanation:

Graph using the end point and a few selected points.

x            y

0           2

1            3

2        3.41

Graph is below:

[RevyBreeze]

Hello!

Answer:

[tex]\Large \boxed{\sf 20\%}[/tex]

Step-by-step explanation:

→ We want to calculate the percentage increase we saw in our premium.

→ To calculate the percentage increase we saw in our premium, let's calculate the difference between our first six-month car insurance premium and our renewal premium:

[tex]\sf 786.25 - 629.00 = 157.25[/tex]

→ Calculate the percentage:

→ The formula used to calculate the percentage is:

[tex]\sf \dfrac{value}{total ~value} \times 100\%[/tex]

→ Apply this formula with value = 157.25 and total value = 786.25:

[tex]\sf \dfrac{157.25}{786.25} \times100\%[/tex]

→ Simplify the expression:

[tex]\sf \dfrac{157.25}{786.25} \times100\%\\\\\\= 0.2 \times100\%\\\\\\= 0.2 \times \dfrac{100}{100} \\\\\\= 0.2 \times 1\\\\\\= 0.2\\\\\\= \dfrac{20}{100} \\\\\\\boxed{\sf= 20\%}[/tex]

So the percentage increase we saw in our premium is 20%.

Answer:

144√3 square feet

Step-by-step explanation:

There is a 30°-60°-90° triangle. In this triangle, the longer leg, which is the height of this parallelogram, is √3 times the length of the shorter leg (8 feet). Multiplying base times height, we have

18 * 8√3, which is 144√3 square feet.

Answer:

72 square units

Step-by-step explanation:

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

Answer:

Step-by-step explanation:

We would like to calculate the centre and the radius of the circle . The given equation is ,

[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]

As we know that the Standard equation of circle is given by ,

[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]

where ,

We can rewrite the equation as ,

[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]

Now on comparing to the standard form , we have ;

Graph :-

[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]

And we are done !

We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........

Answer:

point A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

if quadratic

(-3)²+5=9+5=14

so f(x)=x²+5

or

if linear

(-3)+17=14

f(x)=x+17

if  cubic

(-3)³-2(-3)²-3(-3)+14=14

f(x)=x³-2x²-3x+14

so on.

2/3 empty would mean 1/3 of the total would remain:

14 gallons x 1/3 = 4 2/3 gallons are left in the tank

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

 center (0 , 0) is  x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

The linear equation that represents the graph is 3/2x - 3 = y

Data;

From the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.

If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.

[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]

Kindly find the attached image of the graph.

Learn more on linear equation here;

https://brainly.com/question/14323743