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alexira [117]
3 years ago
6

What is the lowest term of 8/12?

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
2/3 ♡ because if you divide 8 by 4 you get 2 as your numerator and divide 12 by 4 you get 3 as your denominator
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The ratio of boys to girls in Mr. Hoda's art
SOVA2 [1]

Answer:

15:10

Step-by-step explanation:

Method 1: 5 lots of 3:2 →5 × (3:2) = (5×3) : (5×2) = 15:10

Method 2: 3/2 × 1 → 3/2 ×5/5 = 3×5 2×5= 15:10

boys: 15

girls: 10

3 0
3 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
3 years ago
Write an equation for a line parallel to 3x-6y=18​
kipiarov [429]
Any equation that has a slope of 1/2. The equation has to be equivalent to y=1/2x-3 so, you can use the equation y=1/2x+4 (for example)
5 0
3 years ago
15. Solve by factoring: 3x? - 15x + 12 = 0
Lostsunrise [7]

The solution for that proplem is X=4,1

3 0
3 years ago
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