The set of ordered pairs {(1,19), (2,23), (3,23), (4,29), (5,31)}
represents the number of tickets sold for a fundraiser. The x-coordinates
represent the day and the y-coordinates represent the number of tickets
sold on that day.
a) Which mapping diagram represents the relation?

Answer:

answer: 117

Hope this helps!

Answer:

117

Step-by-step explanation:

Convert mixed numbers to improper fractions:

7 1/2 = 15/2

4 1/3 = 13/3

3 3/5 = 18/5

15/2 x 13/3 x 18/5

Multiply and cross-cancel:

18/2 x 13/1

Multiply again:

117/1 = 117

Answer:

hmm easy peesy

3x+6= 21

21-6=3x

15=3x

5 = X

meet my dog; (Frankie the sleeping beauty )

Answer:

x = 5

Step-by-step explanation:

Expand:

Use distributive property:

3x + 6 = 21

3x = 15

x = 5

Divide:

(x + 2) = 21/3

x + 2 = 7

x = 5

Check your work:

3(5 + 2) = 21

15 + 6 = 21

21 = 21

Correct

Answer:

a-The probability that item A is discovered as a defective item by method 1 is 0.4

b. The probability that item A is discovered as a defective item by method 2 is 0.4

c-As the probability of detecting A as a defective item is same for the two methods, thus it can be stated that each of the methods is equally effective.

Step-by-step explanation:

a-

The first method where the inspector chooses two of the five items randomly, so the total pairs are as given below:

[tex]N_{total}=n(S_{total})\\N_{total}=n(\{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE\})\\[/tex]

As the total experiments in the overall space is 10 so [tex]N_{total}[/tex] is 10.

As A comes in 4 of these experiments, thus the value of [tex]N_{A}[/tex] is 4.

So the Probability of A is given as

[tex]P(A)=\dfrac{N_{A}}{N_{total}}\\P(A)=\dfrac{4}{10}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 1 is 0.4.

b-

Now in order to find the probability of finding item A as defective by method 2, first consider the probability of not finding item A as defective.

This is given as

[tex]P(A)=1-P(A)'[/tex]

Here P(A)' is given as

[tex]P(A)'=P(A)'_{1^{st}}\times P(A)'_{2^{nd}}[/tex]

Here

P(A)'_1st is the probability that the first inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 5. so the equation becomes

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{1^{st}}=1-\dfrac{1}{5}\\P(A)'_{1^{st}}=\dfrac{5-1}{5}\\P(A)'_{1^{st}}=\dfrac{4}{5}[/tex]

Similarly

P(A)'_2nd is the probability that the second inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 4 as 1 item has already been checked. so the equation becomes

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{2^{nd}}=1-\dfrac{1}{4}\\P(A)'_{2^{nd}}=\dfrac{4-1}{4}\\P(A)'_{2^{nd}}=\dfrac{3}{4}[/tex]

So the main equation becomes

[tex]P(A)=1-P(A)'\\P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})[/tex]

Substituting the values give

[tex]P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})\\P(A)=1-(\dfrac{4}{5}\times \dfrac{3}{4})\\P(A)=1-\dfrac{3}{5}\\P(A)=\dfrac{5-3}{5}\\P(A)=\dfrac{2}{5}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 2 is 0.4.

c-

As evident from the above, that the value of probabilities for both the methods is same therefore the overall effectiveness of each of the methods is same.

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think you forgot to link or import the question

Answer:

D: Point A is 1 unit to the right of the origin and point B is 3 units to the right of the origin.

Step-by-step explanation:

The coordinate (1, 3) is in quadrant 1 with a positive y, moving the point up, and a positive x, moving the point right. Because the x is 1, the point moves 1 unit right from the origin.

The coordinate (3, 1) is also in quadrant 1 with a positive y and x, but this time the x is 3, moving the point 3 units right from the origin.

Answer:

3.5

Step-by-step explanation:

n+7=3n

7=2n

n=3.5

Answer:

n=7/2

Step-by-step explanation:

n+7=3n

-n     -n

7=2n

/2  /2

7/2=n

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

Answer:

Diameter = 10

Diameter - is the full thing

Radius - Is only half of the diameter.

Step-by-step explanation:

The picture will explain it to you visually

Given:

[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]

[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]

A and B both lies in I quadrant.

To find:

The value of [tex]\sin (A+B)[/tex].

Solution:

We know that, all trigonometric ratios are positive in first quadrant.

[tex]sin^2\theta +\cos^2\theta =1[/tex]

Using this we get

[tex]\sin^2A +\cos^2A =1[/tex]

[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]

[tex]\sin^2A +\dfrac{16}{65}=1[/tex]

[tex]\sin^2A =1-\dfrac{16}{65}[/tex]

Taking square root on both sides, we get

[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex]         [Only positive because A lies in I quadrant]

[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]

[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]

Similarly,

[tex]\sin^2B +\cos^2B =1[/tex]

[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]

[tex]\dfrac{1}{2}+\cos^2B =1[/tex]

[tex]\cos^2B =1-\dfrac{1}{2}[/tex]

Taking square root on both sides, we get

[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex]         [Only positive because B lies in I quadrant]

[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]

[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]

Now,

[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]

[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]

Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

Answer:

$32.40

Step-by-step explanation:

45% = 0.45

72(0.45) = 32.4

Based on the amount Kristian had and the percentage spent on the game, the price of the game is $32.40.

The price of the game can be found as:

= Amount Kristian has x Percentage spent on game

Solving gives:

= 45% x 72

= $32.40

In conclusion, the price of the game is $32.40.

Find out more about percentages at https://brainly.com/question/11570843

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.

Answer:

48 boxes

Explanation:

First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.

15*40*10= 6,000

Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.

5*5*5= 125

Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.

6,000/125= 48 boxes

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

Answer:

wow that

Step-by-step explanation:

a lot

Answer: X≥6

Step-by-step explanation:

x/-2≤-3

x≥-3(-2)

X≥6

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

[tex]y = -\frac{1}{5}\sin(x)[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\sin(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\sin(k(x + c)) +d[/tex] and [tex]y = -\frac{1}{5}\sin(x)[/tex]

[tex]A = -\frac{1}{5}[/tex]

So:

[tex]Amplitude = |-\frac{1}{5}|[/tex]

[tex]Amplitude = \frac{1}{5}[/tex]

Answers:  -2 and 2

Explanation:

The solutions to a graph are the same as the roots, zeros, or x intercepts. The x intercept is the location of the curve where it crosses or touches the x axis. In this case, it does so when x = -2 and x = 2.

Answer:

blue

Step-by-step explanation:

There the most common eyes in the class?

Answer:the student would most likely have blue eyes

Step-by-step explanation:

8/20

6/20

5/20

1/20

Answer:

Bookstore to pet store: Down 6 units

Bookstore to Ice cream shop: Down 1 unit, 5 units to the left

Ice cream shop to pet store: Down 5 units, 5 units to the right

Sorry if this is wrong the image is a little blurry

Answer:

<MLJ and <NOQ

Step-by-step explanation:

Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal

Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.

Step-by-step explanation:

[tex]to \: help \: you \\ \cot(A) = { (\tan(A)) }^{ - 1} = \frac{ \cos(A) }{ \sin(A) } \\ or : \\ \cot(A) = \sqrt{(1 + {( \tan(A) )}^{2} } [/tex]

Answer:

A is correct :)

Step-by-step explanation:

edge 2021

thank you! have a great day

If 0 < a < 12, then h(12 – a) = h(12 + a) is true. Then the correct option is D.

When a body is thrown in the air at an angle, then the term is known as projectile motion.

The table is given in the question.

A) h(4) < h(20), this statement is incorrect, because the h(4) = h(20).

B) The flight is symmetric about the line t = 10, this statement is incorrect, because symmetric about t = 12.

C) The projectile will hit the ground at some value of t less than 24. This is incorrect, because t > 24.

D) If 0 < a < 12, then h(12 - a) = h(12 + a).​ This statement is correct.

Then the correct option is D.

More about the projectile motion link is given below.

https://brainly.com/question/11049671

#SPJ1

Answer:

We know that

6 × 3 = 2 × x

18 = 2x

x = 9

Answer:

it would be 100 rounded because 14x8=112 and 112 is rounded to 100 to the nearest hundreth. Please subscribe to Amiredagoat Yt

Step-by-step explanation:

Answer:

height of second rectangular prism is 5 meters

Step-by-step explanation:

Answer:

D: corresponding angle

hope it helps.

Answer:

corresponding angles

Step-by-step explanation:

hope it is helpful ><