Answers
Answer:
g = - 2h
Step-by-step explanation:
Given
1.5g + h = g
Collect the terms in g together by subtracting g from both sides
1.5g - g + h = 0
0.5g + h = 0 ( subtract h from both sides )
0.5g = - h ( multiply both sides by 2 )
g = - 2h
Related Questions
For several years in massachusetts the lottery commission would mail residents coupons for free lotto tickets. to win the jackpot in Massachusetts, you have to correctly guess all six numbers drawn from a pool of 36. What is the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize?
Answers
Answer: $4.11
Step-by-step explanation:
Given: To win the jackpot in Massachusetts, we have to correctly guess all six numbers drawn from a pool of 36.
The number of combinations of 6 numbers drawn from a pool of 36 is given by :-
[tex]^{36}C_6=\dfrac{36!}{6!(36-6)!}\\\\=\dfrac{36\times35\times34\times33\times32\times31\times30!}{6!30!}\\\\=1947792[/tex]
Now, the probability of winning the prize = [tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]p=\dfrac{1}{1947792}[/tex]
Now, the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize = [tex]p\times\text{Amount}[/tex]
[tex]\dfrac{1}{1947792}\times8000000=4.1072147334\approx\$4.11[/tex]
Hence, the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize = $4.11
The Red Line and the blue line trains just arrived at the the station when will they arrived at the next station at the same time? Red Line = 8 Minutes Blue Line = 10 Minutes
Answers
Check the picture below. Namely that's their LCD.
if a clocks second hand is 7 in. long , how many feet does it travel in 24 hr? how many miles does it travel?
Answers
Answer: Question 1 - 15 ft is how it travels. Question 2 - 95 miles is what it travels.
Step-by-step explanation: Question 1 - 15 ft is how it travels, it goes really slow and then fast.
Question 2 - 95 miles is what it travels because you got the short hand, the hour hand, the long hand, the minute hand. It goes really slow and then really fast.
The second hand of a clock, 7 inches long, covers 2π(7/12) * 60 * 24 feet in 24 hours. Converting this to miles by dividing by 5280 gives the total distance covered in miles by the clock's second hand in 24 hours.
Explanation:The second hand of a clock, which is 7 inches long, would complete a full circle every minute. The distance around a circle is represented by the equation 2πr, where r represents the radius of the circle. In this case, the radius is the length of the second hand, 7 inches. Converting 7 inches to feet for uniformity in calculation, we get 7/12 feet.
So, the distance a second hand covers in one minute is 2π(7/12) feet. Since there are 60 minutes in an hour and 24 hours in a day, the total distance traveled in 24 hours is 2π(7/12) * 60 * 24 feet.
To convert this to miles (since there are 5280 feet in a mile), we divide the result by 5280. Hence, the second hand of a clock travels a distance of 2π(7/12) * 60 * 24 / 5280 miles in 24 hours.
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Tuition and fees T during year x at private colleges can be modeled by T = 755.7(x-1985) +6121. According
to the model, what was the tuition and fees in 2014?
Answers
Answer:
Tution and fees = 28036.3
Step-by-step explanation:
Here you have to replace "x" by 2014, because "x" represents the year and "T" the tuition and fees of that year.
T = 755.7(x-1985) +6121
T = 755.7(2014-1985) + 6121
T = 28036.3
Which statement about the product is true? 4.56 x 4.5 repeating
Answers
Answer:
The product is rational.
Step-by-step explanation:
Both a terminating decimal and a repeating decimal are rational numbers. Their product is also rational.
___
The product is 1558/75 = 20 58/75 = [tex]20.77\overline{3}[/tex]
The product 4.56 x 4.5, with 4.5 repeating, should be rounded off to match the number of significant figures in the least precise number. This principle is the key rule governing significant figures in multiplication.
Explanation:The statement about the product of 4.56 and 4.5 repeating that is true must take into account the rules of significant figures in mathematics. The number 4.56 has three significant figures, while the number 4.5 (repeating) is considered to have an infinite number of significant figures since the decimal part repeats forever.
In this scenario, it's important to remember two rules of multiplication for significant figures:
The result should have as many decimal places as the number with the fewest decimal places.The result should have as many significant figures as the number with the least amount of significant figures.So, when 4.56 is multiplied by 4.5 (considering only two significant figures to match with 4.56), the product should be rounded off to three significant figures, given that's the least number of accurate figures in question.
Learn more about Significant Figures here:https://brainly.com/question/37022020
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