If angle ABC measures 122, what does angle ADC measure?

Answer:

101828.833333

Step-by-step explanation:

you have to multiply the two numbers then divide by 12

The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.

Contract profit,   (P)* of profit, (P)* to break even loss, (P)* of loss

The company which will give the maximum profit probability and minimum loss probability will be the best investment.

In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.

Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

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Answer:

It's A. Southeast

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2a + 2 / a = 4

2a + 2 = 4a

4a - 2a = 2

2a = 2

a = 1

2a² + 2 / a²

a = 1

2(1²) + 2 / 1²

2 + 2 / 1

4

Answer:

Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Step-by-step explanation:

The question can be answered by either calculation or by graphing.

Calculation:

Set the equation to h = 20 feet and solve with the quadratic equation.

h= 4 + 33t - 16t^2

4 + 33t - 16t^2 = 20

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t - 16 = 0

I find solutions of 0.779 and 1.28 seconds.  

Graphing:

See the attached graph.

The graph shows solutions of 0.783 and 1.28 seconds.

Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

Answer:

x = 5

Step-by-step explanation:

-x² + 10x - 25 = 0

x = {-10±√((10²)-(4*-1*-25) / (2*-1)

x = {-10±√(100-100)} / -2

x = {-10)/-2

x = 5

Comprobación:

- (5²) + 10*5 - 25 = 0

-25 + 50 - 25 = 0

t = 180 - 66 - 57 = 57°

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]

[tex]n = 1015.5[/tex]

Rounding up, 1016 constituents are required.

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Answer:

given ,

number of coins in bag A = 5x

number of coins in bag B = 3x

_____________________________________

According to Question ,

8 coins are taken from Bag B and put into Bag A

The ratio of coins in Bag A to Bag B is now 11 : 5

therefore ,

[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]

now ,

[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]

[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]

[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]

hope helpful :D

Answer:

I need to know the dimensions to solve

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

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Answer:

See below.

Step-by-step explanation:

7,824/10=782.4

782.4

 |

The 8 is in the tens place. It represents 80.

-hope it helps

Answer:

80

Step-by-step explanation:

7824÷10=782.4

Therfore the 8 is in the tens place meaning that the 8 in this is 80

Answer:

The mass of the ring is 12 grams.

Step-by-step explanation:

Total 20 parts

Gold 3/4 total mass (15/20)

3/4=9g

1/4=3g

4/4=12g

Answer:

mass of the ring = 12 g

Step-by-step explanation:

Given ratio

gold : palladium : nickel : zinc = 15 : 2 : 2 : 1

Add the ratios:  15 + 2 + 2 + 1 = 20

Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.

Let the mass of the ring = x

As the ring containts 9 g of gold

[tex]\sf \implies \dfrac34x=9[/tex]

[tex]\sf \implies x=9 \cdot \dfrac43[/tex]

[tex]\sf \implies x=12[/tex]

Therefore, the mass of the ring is 12 g

comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.

Answer:72

Step-by-step explanation:6 x 12=72

The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).

Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.

An example of equivalent statement besides the one given already is:

A cat is an animal.

A pet is an animal you own.

Therefore owning a cat is the same as owning a pet.

Therefore:

If Jake owns a cat then he owns a pet.

If Jake doesn't own a pet then he doesn't own a cat.

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Hey there!

Let's solve this equation.

5x+3x-4=10

add the x's

8x-4=10

add 4 to both sides

8x=10+4

8x=14

divide both sides by 8

x=14/8

Reduce the fraction;

x=7/4 (improper fraction)

x=1+3/4 (mixed number)

Hence, the equation has 1 solution.

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

i presume it has

Step-by-step explanation:

only 1 solution.

combine like terms & then solve

Answer:

38.75

Step-by-step explanation:

Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)

Answer: c-3

Step-by-step explanation:

it is wanting you to take c minus 3

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

Step-by-step explanation:

the ratio that relates two given values in what is known as a proportional relationship.

self explainatory

Answer:

Check the last answer...

Step-by-step explanation:

Look at image above...

Answer:

3.0625[tex]\pi[/tex] ft^2

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]1.75^2

A=3.0625[tex]\pi[/tex]

3.0625[tex]\pi[/tex] ft^2

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

     3    30         45

      5    10          15

            2             3

3 × 5 = 15

Answer:

?????

Step-by-step explanation:

Check the picture below.

Answer:

(0, 0) : traveling 0 inches in 0 seconds

(1, 1.5) : traveling 1.5 inches in 1 second

(3, 4.5) : traveling 4.5 inches in 3 seconds

The unit rate is

1.5 inches a second

1.5 / 1 i think thats how you write it

Answer:

285.6

Step-by-step explanation:

formula= I=PRT

i=?

p=102

r=5

t=36 months

5=0.05

102(1+(0.05x36)=285.6

Answer:

Step-by-step explanation: 276.9

Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.

A proportion is a fraction of a total amount.

In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.

He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:

P = 6 x $7.00 + $8.00 = $50.00.

More can be learned about proportions at https://brainly.com/question/24372153