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3 years ago

The sum of two numbers is 61. The larger number is 13 more than the smaller number. What are the numbers?

Mathematics

1 answer:

patriot [66]3 years ago

5 0

Answer: 24 and 37

Step-by-step explanation:

Let the numbers be x and y . Also let us pick x as the larger number.

From the first statement :

x + y = 61 ............................ equation 1

From the second statement :

x = y + 13 ............................equation 2

Solving the resulting linear equations by substitution method, substitute x = y + 13 into equation 1, then

x + y = 61 becomes

y + 13 + y = 61

2y + 13 = 61

2y = 48

y = 24

Substitute y = 24 into equation 2 , then

x = y + 3 becomes

x = 24 + 13

x = 37

Therefore the numbers are 24 and 37

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The expression is missing in the question which is $\dfrac{x^6-x}{4y}$ .

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For more details follow the link:

brainly.com/question/11897796

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3 years ago

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And we can find the individual probabilities using the probability mass function

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And replacing we got:

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$