The 1990 Super Bowl had the largest winning margin, which was 45 points. Add this number to the data in the table and find the mean, median, and mode. Which best describes the data?

Answer:

D = 31 mm

Step-by-step explanation:

The area of a circle, A = 240.25π sq mm

We need to find the diameter of a circle.

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\r=\sqrt{\dfrac{A}{\pi}}[/tex]

If D is the diameter of the circle, D = 2r

So,

[tex]\dfrac{D}{2}=\sqrt{\dfrac{A}{\pi}} \\\\D=2\times \sqrt{\dfrac{A}{\pi}} \\\\=2\times \sqrt{\dfrac{240.25\pi }{\pi}}\\\\=2\times 15.5\\\\=31\ mm[/tex]

So, the diameter of the circle is equal to 31 mm.

Answer:

See attachment

Step-by-step explanation:

We can graph this line using the equation given to us. The equation is in slope-intercept form, [tex]y=mx+b[/tex]. In this form, [tex]m[/tex] = slope and [tex]b[/tex] = the y-intercept.

So, we can tell that the slope is -[tex]\frac{1}{5}[/tex] and the y-intercept is (2,0).

We begin by plotting on the graph the y-intercept, (2,0).

The slope also equals the [tex]\frac{rise}{run}[/tex]. The slope is negative, so the line will slope down. From the point we have plotted, we will rise negative 1 unit. This means to move down 1 unit. From this point, we will run 5 units. Because the line is negative, we will move 5 units to the left, not the right. We land on point (5,1).

Now, we will draw a line from these two points. This is the line shown in the equation.

Good luck ^^

Answer:

5670 [tex]cm^{3}[/tex] will be your answer!

Step-by-step explanation:

21 x 18 x 15 = 5670

“Or” meaning they want both. Since they each represent 1/14 add them together. 1/14+1/14=2/14. Then simplify 2/14 to get 1/7

So, the answer the 1/7

Answer:

A. 1/12

if wrong sorry

hope this helps you ☺️☺️

Answer:

D. [tex] \frac{3}{20}[/tex]

Step-by-step explanation:

[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ l = \frac{54 \degree}{360 \degree} \times c \\ \\ l = \frac{3}{20} \times c \\ \\ [/tex]

Thus, the length of the arc RST is [tex] \frac{3}{20}[/tex] times of the circumference of the circle with center C.

After Evaluating  -1-(-z) when z=-2, the result of the given expression would be 1.

In mathematics, an expression is a combination of numbers, variables, and operators (such as +, -, *, /, etc.) that represents a value or a computation.

An expression in mathematics is made up of a combination of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are similar. While a phrase by itself in language may contain an action, it does not constitute a complete sentence.

Arithmetic operators and numbers make up a mathematical numerical expression. No equality or inequality symbols, or unidentified variables, are present. Indeterminate variables, numbers, and arithmetic operators make up an algebraic expression. Neither equality nor inequality symbols can be found in it.

Evaluating the expression -1-(-z) when z=-2:

-1-(-z) = -1-(-(-2)) = -1+2 = 1

Hence, the result of the given expression would be 1.

To learn more about the expression in mathematics, visit:

https://brainly.com/question/14083225

#SPJ1

Answer:

12

Step-by-step explanation:

Median basically means middle. So when you get a set of numbers, put them in order from least to greatest. This leaves us with ( 6  8  12 * 12  12  16 ). Now, we have to find the middle number (shown by *), but because this is an even amount of numbers (no defined middle), we take the two numbers in the middle, which would be the two 12's. If these were different numbers, we would add them together and then divide by two to get the median, but that's unnecessary here. Your median will be 12!

Answer:

When finding median, first arrange the values in ascending or descending order.

Suppose I take the ascending order:

[tex]6 \: \: 8 \: \: 12 \: \: 12 \: \: 12 \: \: 16 \\ median = ( \frac{n}{2} + 1) ^{th} value \\ n = number \: of \: terms = 6 \: digits \\ = ( \frac{6}{2} + 1) {}^{th} \: value \\ = 4 {}^{th} value \\ from \: the \: values 4 {}^{th} value = 12 \\ median = 12[/tex]

Step-by-step explanation:

If x=3, y=7 when x+y=z

z=3+7

z=10

Answer:

1. Corresponding Angles

2. Alternate Interior Angles

3. Alternate Exterior Angles

4. If <a=25 then <h will equal 25 because they are congruent

Answer: yes no yes no

Step-by-step explanation:

Answer:

35+14.5x≥45

Step-by-step explanation:

35+14.5x≥45

Answer:

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Step-by-step explanation:

Suppose that we have a set of N elements in a bag (if the bag is closed and we put our hand inside to grab one element, we could not distinguish them apart), and K of these elements have a given property (for example, these are red).

The probability of selecting at random one of these red elements is equal to the quotient between the number of elements with that property (K) and the total number of elements in the bag (N)

P = K/N

Now let's go to our problem.

We have 24 1p coins.

We have X 2p coins.

Then the total number of coins is: (24 + X)

We know that the probability of choosing at random a 2p coin is then:

P = X/(24 + X)

And we know that this is equal to 1/2

Then:

X/(24 + X) = 1/2

X = (1/2)*(24 + X) = 24/2 + X/2

X = 12 + X/2

X - X/2 = 12

X/2 = 12

X = 2*12 = 24

Then Aisha has 24 2p coins.

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Answer:

x=2, x=a

Step-by-step explanation:

Answer:

x = 47.5

Step-by-step explanation:

5 times 5 = 25

9 times 5 = 45

45 divided by 2 = 22.5

25 + 22.5 = x

x = 47.5

Answer:

-10 would be correct

Step-by-step explanation:

-10

Answer:

1. ΔABC ~ ΔMPN by AA, similarity postulate

2. No two triangles among the triangles ΔRST, ΔKLM, and ΔJRW are similar

Step-by-step explanation:

1. It is required to show that two of the given triangles are similar;

ΔABC is a right triangle, [tex]\overline {AC}[/tex] = 8, [tex]\overline {CB}[/tex] = 12, ∠A = 38°

∴ ∠B = 90° - 38° = 52

The ratio of the legs =  [tex]\overline {AC}[/tex]/[tex]\overline {CB}[/tex] = 8/12 = 2/3

ΔDEF is a right triangle, the legs [tex]\overline {DF}[/tex] = 10, and [tex]\overline {EF}[/tex] = 12

The ratio of the legs = [tex]\overline {DF}[/tex]/[tex]\overline {EF}[/tex] = 10/12 = 5/6

∴ ΔABC is not similar to ΔDEF as  [tex]\overline {AC}[/tex]/[tex]\overline {CB}[/tex] ≠ [tex]\overline {DF}[/tex]/[tex]\overline {EF}[/tex]

ΔMPN is a right triangle, ∠M = 52°, therefore, ∠N = 90° - 52° = 38°

Two angles in triangle ΔMPN are equal to two angles in triangle ΔABC, therefore;

ΔABC ~ ΔMPN by Angle-Angle, AA, similarity postulate

2. The two given angles in ΔRST are ∠R = 45° and ∠S = 67°

The two given angles in ΔKLM are ∠K = 45° and ∠SL = 68°

The given angles in ΔJRW are ∠J = 21° and ∠R = 90° therefore, ∠W = 90 - 21 = 69°

No two triangles in ΔRST, ΔKLM, and ΔJRW are similar.

Answer:

y = -3

Step-by-step explanation:

4x – 3y = 17

x = 2

4(2) - 3y = 17

8 - 3y = 17

-3y = 9

y = -3

Answer:

y= -3

Step-by-step explanation:

if x =2, substitute

4(2) - 3y = 17

8-3y = 17

(add 3y to both sides)

8= 17 + 3y

(subtract 17 from both sides)

8-17=3y

-9= 3y

(divide both sides by 3)

-9/3=y

y= -3

Answer:

31.97% (rounded to the nearest hundredth)

Step-by-step explanation:

Answer:

The new coordinate after translating the figure are : (- 1 , -2)

Step-by-step explanation:

By using the following a translation mapping rule for this problem:

( x,y) → (x -2, y - 5)

Answer:

y = -3/4(x - 6)^2 + 3

Step-by-step explanation:

y = ax^2 + bx + c

(4, 0)

16a + 4b + c = 0     Eq. 1

(8, 0)

64a + 8b + c = 0     Eq. 2

(6, 3)

36a + 6b + c = 3      Eq. 3

We have a system of three equations in three variables.

Eq. 2 - Eq. 1

48a + 4b = 0      Eq. 4

Eq. 2 - Eq. 3

28a + 2b = -3     Eq. 5

Eq. 4 - 2 * Eq. 5

-8a = 6

a = -6/8

a = -3/4

48a + 4b = 0

48(-3/4) + 4b = 0

4b = 36

b = 9

16a + 4b + c = 0

16(-3/4) + 4(9) + c = 0

-12 + 36 + c = 0

c = -24

The equation of the parabola is

y = -3/4 x^2 + 9x - 24

y = -3/4(x^2 - 12x + 32)

y = -3/4(x^2 - 12x + 36) + (-3/4)32 - (-3/4)(36)

y = -3/4(x^2 - 12x + 36) -24 + 27

y = -3/4(x - 6)^2 + 3

Answer:

[tex] - 12288 \div {2}^{11} = - 6 \\ forth \: answer \: is \: correct[/tex]

Answer:

4th option

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

To find a₁ use a₁₂ = - 12288 , then

a₁ [tex](2)^{11}[/tex] = - 12288 , that is

a₁ × 2048 = - 12288 ( divide both sides by 2048 )

a₁ = - 6

Then the explicit formula is

[tex]a_{n}[/tex] = - 6 . [tex]2^{n-1}[/tex]

Answer:

its D because they all match the sides