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ladessa [460]
3 years ago
8

Can someone please help me with all 3 of these questions By today thank you

Mathematics
1 answer:
Olin [163]3 years ago
7 0
5 x 2/4 = 5/1 x 2/4 =  2 2/4 = 2 1/2
<span>8)  </span> not equal, not equal, equal
9)   1/8 of a pound is in each portion
10)   $3.75

I hope this helps you. With number 8, all i did was simplify the fractions and see if the can be equal to the first fraction in the whole question and determined my answer by that. For number 9, i divided 1/2 of a pound by 2 and got 1/4 of a pound, and then divided that by 2, and i got the answer of 1/8 of a pound. When it come to number 10, i multiplied $0.50 by 7 and got $3.50, and since the last part was half a foot i knew it would cost $0.25 instead of $0.50, so i just added that to the answer and got the end result of $3.75.
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A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?
Verdich [7]

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = \frac{energy}{time}

           = \frac{36000}{60}

          = 600 watts

2. Power = \frac{work done}{time}

⇒ work done = Power × time

                      = 99 × 360

                      = 35640 J

3. Efficiency = (Output / Input) × 100

                    = \frac{55}{100} × 100

                    = 55%

4. Work done = Force × distance

                      = 5 × 4

                      = 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

  Power = \frac{energy}{time}

Energy = Power × time

            = 4 × 4

           = 16 KWh

The cost of running the fire = \frac{16}{2}

                = 8p

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An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
MAVERICK [17]

Answer:

Probability Mass Function:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification  as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064

P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608

P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902

P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736

PMF:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

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Sonja [21]

Answer: Anita's

Step-by-step explanation:

Anita's shape would have the longest sides because she only has 4 total sides, while the others have 5, 6, and 10

This means that if the total perimeter for each of the shapes was 10 units,

Anita's shape would have side lengths of about 2.5 units while the others would have side lengths of 2, 1.6, and 1 units.

This means Anita's shape has the longest sides

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