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Paraphin [41]
4 years ago
8

Please help? On math?

Mathematics
1 answer:
Molodets [167]4 years ago
4 0
6.4^2 + 3.5^2 = c^2\\\\40.96 + 12.25 =c^2\\\\c^2 = 53.21\\\\c=\sqrt{53.21}\\\\\boxed{\bf{c = 7.3~cm}}
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7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 1
Mars2501 [29]

Answer:

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Distributed uniformly between 3mm and 13 mm.

This means that a = 3, b = 13

Calculate the proportion of memory sticks that will be scrapped:

P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

6 0
3 years ago
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4 x = –3 x = -3/2 x = 2/3 x = 2 x = 4
Ivahew [28]
4x2 - 7x = 3x + 24
 First we rewrite the quadratic equation:
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9 0
3 years ago
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7 to the power of 3 is the same as 7x7x7. To start off 7x7 = 49. Then 7x49 = 343. I hope this helped :)
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