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stiv31 [10]
3 years ago
9

If the probability of rain today is 15%, what is the probability that it will not rain today?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0
Probability(not rain today) =100-15=85% ans is B
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Step-by-step explanation:

Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.

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1. Which of the following is equivalent to the
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Step-by-step explanation: Apply the distributive property.

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PLEASE HELP!!! NEED ANSWERS TO THESE QUESTIONS..
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Answer:

12. Option A is correct

13. Option A is correct

14. Option C is correct

15. Option D is correct

16. Option A is correct

Step-by-step explanation:

12) Lowest Common Denominator of

\frac{p+3}{p^2+7p+10} \,\, and \,\, \frac{p+5}{p^2+5p+6}

We should find the factors of denominators and then find the LCM of the denominators.Finding LCD is same as finding LCM.

Factors of p^2+7p+10 = p^2 +2p +5p+10 = p(p+2)+5(p+2) = (p+5)(p+2)

Factors of p^2+5p+6 = p^2+2p+3p+6 = p(p+2)+3(p+2) = (p+3) (p+2)

Now, rewriting the above equation with factors and finding the LCM

\frac{p+3}{(p+5)(p+2)} \,\, and \,\, \frac{p+5}{(p+3)(p+2)}\\

LCM of (p+5)(p+2) and (p+3)(p+2) = (p+5)(p+3)(p+2)

The LCD is (p+5)(p+3)(p+2).

So, Option A is correct.

13. Divide

\frac{40x}{64y} \,\,by\,\, \frac{5x}{8y}

by stands for division. The equation can be written as:

\frac{40x}{64y}\div\frac{5x}{8y}

Division sign changed into multiplication, we take reciprocal of second term i.e,

\frac{40x}{64y}*\frac{8y}{5x}\\\\Solving\\\frac{40x*8y}{64y*5x}\\\\\frac{320xy}{320xy} \\\\1

So, Option A is correct.

14. Simplify:

\frac{x+2}{x^2-6x-16} \div \frac{1}{9x} \\

Factors of x^2-6x-16= x^2 -8x +2x -16 = x(x-8)+2(x-8) = (x-8)(x+2)

Putting factors in the above equation and changing division sign with multiplication we get,

\frac{x+2}{(x-8)(x+2)} * \frac{9x}{1}\\\frac{9x}{x-8}

So, Option C is correct.

15. Simplify

\frac{4}{\frac{1}{4}-\frac{5}{2}}

Solving denominator,

Taking LCM of 4 and 2 and subtracting we get

\frac{4}{\frac{1-(5*2)}{4}}\\\frac{4}{\frac{1-10}{4}}\\\frac{4}{\frac{-9}{4}}\\\frac{4*4}{-9}\\\frac{16}{-9} \,\,or\,\,\\\frac{-16}{9}

Option D is correct.

16. Simplify:

\frac{7x+42}{x^2+13x+42}

Making factors of x^2+13x+42= x^2 +6x+7x+42 = x(x+6)+7(x+6) = (x+7)(x+6)

Taking 7 common from numerator and putting factors in denominator we get,

\frac{7(x+6)}{(x+7)(x+6)}\\\\Cancelling\,\, x+6 \,\, from\,\, numerator \,\, and\,\, \\\\\frac{7}{(x+7)}

Option A is correct.

8 0
3 years ago
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