Solve the equation by compleeting the square x^2 + 8 = 4x

An angle measures 3π4 radians.

Murljashka [212]

Answer:

135°

Step-by-step explanation:

π : 180

3π/4 : 180 × 3/4 = 135

7 0

3 years ago

for events A and B, P(A)= 3/14 and P(B)= 1/5. Also, P(A and B)= 3/65. Are A and B independent events?

Lady_Fox [76]

No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability

Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)

∵ P(A) = $\frac{3}{14}$

∵ P(B) = $\frac{1}{5}$

∴ P(A) . P(B) = $\frac{3}{14}$ × $\frac{1}{5}$

∴ P(A) . P(B) = $\frac{3(1)}{14(5)}$

∴ P(A) . P(B) = $\frac{3}{70}$

∵ P(A and B) = $\frac{3}{65}$

∵ P(A) . P(B) = $\frac{3}{70}$

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

Learn more:

You can learn more about probability in brainly.com/question/13053309

#LearnwithBrainly

5 0

4 years ago

A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b

Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

6 0

3 years ago

How tall would one million pennies be in centimeters.And how do you know

Vikki [24]

One US-penny is 19 mm in diameter.

One British-penny is 20.3 in diameter.

We can make an accurate measurement of the diameters, or research on the internet.

1 milion US_pennies are

1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm

1 milion British_pennies are

1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm

8 0

4 years ago

Banana trees yield 32 pounds of fruit per acre and strawberry plants yield 84 pounds of fruit per acre. Suppose Erica's farm has

Usimov [2.4K]

32b + 84s = 1,200 hope this helps

6 0

3 years ago

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