Find the missing angles

Answer:

a) 3

b) 30

c)48.8

Answer:

The right answer is "1.6053".

Step-by-step explanation:

According to the question,

The expected value will be:

= \(-Cost \ of \ ticket+Probability \ of \ winning\times Winning \ amount\)

As we know,

The probability of winning the lottery will be:

= \(\frac{1}{No. \ of \ ways \ of \ choose \ six \ from \ 40}\)

So that, the expected value is:

= \(-1+\frac{10^7}{\binom{40}6}}\)

= \(-1+\frac{10^7}{3838380}\)

= \(1.6053\)

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer: a carrot

Step-by-step explanation:

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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From the diagram, we can see that CL bisects angle JCN. This means that CL divides the angle JCN into 2 equal halves. It means that

angle JCN = angle JCL + angle LCN

Given that angle JCN = 8r - 2 and angle LCN = 3r + 15, it means that

8r - 2 = angle JCL + 3r + 15

Since angle JCL = angle LCN, then

8r - 2 = 3r + 15 + 3r + 15

8r - 2 = 6r + 30

8r - 6r = 30 + 2

2r = 32

r = 32/2

r = 16

angle JCL = 3r + 15 = 3 * 16 + 15

angle JCL = 48 + 15

angle JCL = 63 degrees

The Total Probability of selecting two coins worth 35 cents at least is 17/36

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

There are two ways of having a sum at least 35 cents

(i) One 10 cent coin and One 25 cent coin

= 6/9 * 3/8 = 1/4

(ii) Both coins of 25 cents

= 2/9

Total Probability = 1/4 + 2/9

Total Probability = 9 + 8 / 36

Total Probability = 17 / 36

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Answer:

Step-by-step explanation:

Answer:

The answer is y= (7/9) + (2/9)x

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:

The answer is 14.76 to 2d.p

Step-by-step explanation:

Hyp²=opp²+adj²

let Hyp be x

x²=13²+7²

x²=169+49

x²=218

Square root of both sides

√x²=√218

x=14.76 to 2d.p

Answer:

14.76

Step-by-step explanation:

A square + b square = c square

13 square=169

b square=49

169+49=218

the root of 218 is 14.76

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Step-by-step explanation:

reading the question thoroughly, we find out that volume (V) and radius (r) of the cone is given, and we just have to find out the length (h) of the cone

V = πr²h/3

Putting the given values in place,

V = 75.36 cm³

V = 75.36 cm³r = 2 cm

V = 75.36 cm³r = 2 cmπ = 3.14

Now, since we calculating for h, we can interpret the formula in the terms of h, i.e.

h = 3V/(πr²)

h = 3×75.36/(3.14×2²)

h = 226.08/12.56

h = 18 cm

Thus, the height of the ice cream cone is 18cm

Hope this helped!

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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What the student did it's right but there's one more step missing.

The slope-intercept form is:

a. The student didn't clear y

b. We have to divide both sides by 2:

c. The correct answer is y = -2x+3

Answer:

1,00,900,987 would be the answer

The solution to the problem is 2(2y+1).

To solve the problem (8y^2+4y)/(2y), we need to simplify the expression by dividing each term by 2y.

First, we can factor out 4y from the numerator:

(8y^2+4y) = 4y(2y+1)

Now, we can divide 4y(2y+1) by 2y:

4y(2y+1) / 2y = 2(2y+1)



In summary, we simplified the expression by factoring out 4y from the numerator and then dividing by 2y. This resulted in the solution of 2(2y+1).

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Answer:

1. not congruent

2. sss congruent

3.not congruent

5.asa

6.sas

Answer:

3 + 2-(-3)-7=1

Step-by-step explanation:

The answer is 1

Answer:

1

Step-by-step explanation:

1.First you have to multiply the negative to the parenthesis(Pemdas)

2.add 3+2=5

3.add 5+3=8

4.subtract 8-7

3+2-(-3)-7=

3+2+3-7=

5+3-7=

8-7=

=1

Step-by-step explanation:

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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Answer:

Step-by-step explanation:

Number of frames =3 frames

If each frames contain 2 photos, the total number of photos in all the 3 frames will be 3*2 = 6photos

Since we have 6 photos in total, the fraction that shows one photo will be ratio of one out of the six photos and this is represented as 1/6

Answer:

67.307

Step-by-step explanation:

30×25=750

100×80=8000

750+8000=8750

8750/130=67.307... total hits divided by total games

Take two points

Equation of line in two points form

\(\\ \rm\hookrightarrow y-y_1=(y_2-y_1/x_2-x_1)(x-x_1)\)

\(\\ \rm\hookrightarrow y-25=(\dfrac{165-25}{100-30})(x-30)\)

\(\\ \rm\hookrightarrow y-25=(\dfrac{140}{70})(x-30)\)

\(\\ \rm\hookrightarrow y-25=2(x-30)\)

\(\\ \rm\hookrightarrow y-25=2x-60\)

\(\\ \rm\hookrightarrow y=2x-35\)

\(\\ \rm\hookrightarrow y=2(106)-35=177hits\)

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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To find which place has the highest price for a board game divide each price by the number of boards:

Toy store;

$5.74 per board

Online:

$5.6 per board

Answer:

Use the slope formula and slope-intercept form  

y

=

m

x

+

b

to find the equation.

f

(

x

)

=

3

x

−

1

Step-by-step explanation:

Answer:

Since we get '2' as an output when we input '0'

So, the function must be increasing the value of x by 2

We see that happen in the second case as well, as our input is incremented by 2

Hence, we can say that

f(x) = x + 2

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Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days