50 points!
Ahmed needs to take a close-up shot of an orange for his art class. He frames a shot of an orange as shown below, so that the lines of sight form tangents to the orange. If the measure of the cameras viewing angle is 34 degrees, what is angle ACB?

1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}

B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}

Mean is the ratio of the sum to the total number of observations.

Mean of set A = 115/13

Mean of set B =80/10 =8

So, the mean of set A is larger than the mean of set B.

Arranging both the sets in ascending order

A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }

Median of set A = middle term = 7th term = 10

Similarly, the median of set B =8

So, the median of set A is larger than the median of set B.

Thus, 1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

Answer:

B D E

Step-by-step explanation:

I took the assignment and these are right. :)

Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given as

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

(n is the number of values X takes)

Carmen is going to roll an 8-sided die 200 times.

She predicts that she will roll a multiple of 4 twenty-five times.

The sample will be

Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}

Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have

Favorable event = 2 {4, 8}

Then the probability will be

[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]

A dice is rolled 200 times, then by the binomial theorem we have the expected value will be

[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]

More about the expectation link is given below.

https://brainly.com/question/19585939

Answer:

B

Step-by-step explanation:

The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1

(432,798/ 205,828)^(1/8) - 1 = 10%

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

18cm

if it takes 12cm to wrap 6 presents, it means it takes 2cm to wrap one present.

9 individual presents will take 2 wraps, so Dwayne needs 18cm of wrapping paper.

The expression that can be used to represent Rebekah's age in years given Yvonne's age is 3y - 1.

Mathematical expressions are statements that contain a combination of numbers and variables.

Given that Yvonne's age is y.

Rebekah's age = one less than 3 times y. 'less' means subtraction and 'times' means multiplication.

(3 x y) - 1

3y - 1

To learn more about mathematical expressions, please check: https://brainly.com/question/11980704

Answer:

Mean: (1.5+3.8+1.3+1.6+2.9+1.4+0.9+2.3+8.4+1.3)/10 = 2.54

Lowest Number: :: 2.54 - 0.9 = 1.64 million less than mean

Highest number: :: 8.4 - 2.54 =  5.86 million more than mean mean

Answer:

4x - 4

Step-by-step explanation:

Step-by-step explanation:

Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Step-by-step explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

Answer:

x = -6

Step-by-step explanation:

3x + 17 = -2x - 13

==> add 2x to both sides

5x + 17 = - 13

==> subtract 17 from both sides

5x = -30

==> divide both sides by 5

x = -6

Answer:

y=8

Step-by-step explanation:

vertical lines parallel to x axis

Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

Answer:

8x

Step-by-step explanation:

To do this we simply add the coefficients of x to give us our answer:

3 + 5 = 8

So our answer is 8x

One way to put this into perspective is to imagine x is the number of apples:

If you add 3 apples and 5 apples you get 8 apples.

Always do this trick when collecting like terms in algebra.

Sum of the interior angles of any n-side shape must equals to :

[tex](n - 2) \times 180[/tex]

Thus ;

[tex](5 - 2) \times 180 = [/tex]

[tex] 3\times 180 = [/tex]

[tex]540 \: \: degrees[/tex]

So :

[tex]x + 122 + 100 + 90 + 144 = 540[/tex]

[tex]x +456 = 540[/tex]

Subtract both sides 456

[tex]x + 456 - 456 = 540 - 456[/tex]

[tex]x = 84[/tex]

There u go...

Answer:

Step-by-step explanation:

He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat.  The other treat  might give a higher profit.

Omar is correct since if 50% of the

Profit is defined as the amount gained by a person or business.

Profit = Total Revenues - Total cost

Given that,

you and Omar are talking about which two frozen treats would be best to sell.

Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.

Total number of the frozen treats = 100%

If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.

Hence Omar is correct.

Learn more about Profit here :

https://brainly.com/question/15699405

#SPJ2

The surface area of the covering of the cone to the nearest square inches is 788 inches²

surface area of a cone = πr(r + l)

where

Therefore,

diameter = 2(radius)

14 = 2r

r = 14 / 2

r = 7 inches

l² = 7² + 28²

l = √49 + 784

l = √833

l = 28.8617393793

l = 28.86 inches

Therefore,

surface area = 3.14 × 7 (7 + 28.86)

surface area = 21.98 × 35.86

surface area = 788.2028

surface area = 788 inches²

learn more on surface area here: https://brainly.com/question/13343525

Answer: Here you go :)

Step-by-step explanation:

Hope this helps, have a nice day!

Answer:

the answer is 28 minutes

Answer:

can u show a more clear picture or tell me the numbers on it

Answer:

-2

Step-by-step explanation:

Since 12 is more

12 - 14

-2

point-slope form: y-y₁ = m(x-x₁)

=============

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)[/tex]

slope-intercept form: y = mx + b

============

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)[/tex]

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5[/tex]

[tex]\rightarrow \sf y = \dfrac{5}{3}(x)-5+5[/tex]

[tex]\rightarrow \sf y = \dfrac{5}{3}(x)[/tex]

point slope form:-

Slope intercept form

y=mx+b

Answer:

x = 16/3, y = -1/9

Step-by-step explanation:

4x + 1 = 5(x-3y) - 6

3(x+6y) + 4 = 9y + 19

Simplify both equations

4x + 1 = 5x-15y - 6

-x + 15y = -7

3x + 18y + 4 = 9y + 19

3x + 9y = 15

Now multiply 3 on both sides for the first equation.

(easier for adding both equations)

-3x + 45y = -21

3x + 9y = 15

Add both equations

x cancels out

54 y = -6

y = -1/9

plug in to other equation

3x + 9y = 15

3x - 1 = 15

3x = 16

x = 16/3

Answer:

[C] 1/3 of the pizza

Step-by-step explanation:

Given that:

Juan and two of his friends are going to share of a pizza.

Thus, we know that:
Juan + two of his friend = 3 people

Hence, each person gets

1/3 of the pizza

Check Answer

1/3 × 3 =1 whole {whole pizza}

or we can do

1/3 + 1/3 + 1/3 = 1 whole.

We can also do this:

Numerator = how many each person gets

Denominator = Total people

For more info about Numerator and Denominator:

https://brainly.com/question/20712359

Kavinsky

Answer:

108

Step-by-step explanation:

Answer:

The answer is: 3.48%

Step-by-step explanation:

Answer :

R = 3.48%

interset rate

→ Perimeter = 2( Length + Width)

→34 = 2x + 2(4x-3)

→34 = 2x + 8x - 6

→34 = 10x -6

→10x = 34 +6

→10 x = 40

→x = 40/10

→x = 4

Hope this helped you!

Answer:

a^2 +b^2= c^2

Step-by-step explanation:

to prove that a triangle have right angles triangle you have to use the Pythagoras theorem

Answer:

22%

Step-by-step explanation:

formula for percentage increase:
increase/original number x 100

increase is $66 (366-300)

66/300 x 100

= 22/100 x 100

= 22

hope this helped :)