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N76 [4]
3 years ago
9

What is the LCD of

\frac{5}{12} " align="absmiddle" class="latex-formula"> and -\frac{9}{16} } ?
Mathematics
1 answer:
olasank [31]3 years ago
3 0
Given the fraction 5/12 and 9/16, the least common denominator can be get by giving the possible common multiples of 12 and 16.

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
16 = 16, 32, 48, 64, 80, 96, 112, 128, ...

So looking above, the common are 48 and 86 but the smallest is 48.
So the LCD is 48.
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A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0
3 years ago
Calcula el área de la siguiente figura
andreyandreev [35.5K]

Answer:

272.5 m²

Step-by-step explanation:

1/2x4x9=18

(9+18)/2=13.5. 13.5x11=148.5

(18+14)/2=16. 16x7=112

12+148.5+112= 272.5

5 0
3 years ago
What do diffraction and refraction have
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Answer:

They are both due to the wave nature of light.

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I NEED HELP PLEASE IM STRUGGLING
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I think the answer is either B or C I am not completely sure but I got 36
4 0
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Factor the common factor out of each expression.
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6x^3+6x^5+12x^4=6x^3 (1+6X^2+2X)= 6X^3 [1+2X(3X+1)]
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