P= -24q= 12r= -6a. (pxq):(q+r)b. (pxr):(r-q)what the answer?

Mathematics

1 answer:

kolezko [41]3 years ago

5 0

Step-by-step explanation:

a. ( p × q ) ( q + r )

= ( -24 × 12 ) ( 12 + -6 )

= 288 × 18

= 5184

b. ( p × r ) ( r - q )

= ( -24 × -6 ) ( -6 - 12 )

= ( 144 ) ( -18 )

= -2592

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How can a ratio's number can be changed without changing the ratio itself

eimsori [14]

<h2>Answer:</h2>

The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely $a \ and \ b$ , so the ratio can be written as:

$r=\frac{a}{b}$

If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:

$r=\frac{2}{3}$

We can multiply both the numerator and denominator, say, by 7. Then:

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As you can see, the ratio's number has changed but without changing the ratio itself because:

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3 years ago

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Answer:

1.15%

Step-by-step explanation:

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This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

$\binom{n}{k} * p^{k} * (1-p)^{n-k}$

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the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

$\binom{n}{k} = \frac{n!}{k!(n-k)!}$