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mojhsa [17]
3 years ago
6

The product of two consecutive positive integers is 56. Find the two integers

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

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On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?
nikklg [1K]

Answer:

104 miles

Step-by-step explanation:

52/2.5 = 20.8

20.8 miles = 1 inch

20.8 x 5

104 miles = 5 inches

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3 years ago
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Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha
love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

np \geq 10 and n(1-p) \geq 10

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that p = 0.089

The bank has recently approved 220 loans.

This means that n = 220

What must be true to be able to approximate the sampling distribution with a normal model?

np = 220*0.089 = 19.58 \geq 10

n(1-p) = 220*0.911 = 200.42 \geq 10

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

3 0
3 years ago
Graph the piecewise function??
Alik [6]
Check the picture below.

notice, the dashed line is the "continuation" of the graph, however, for the constraints in the piece-wise, is excluded.

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Whats the answer, to the question below
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The product of 12 and k is 84.<br><br> Solve for k.
Mrac [35]

Answer:

The product of 12 and k is 84

According to the given problem, the equation is

\boxed{12k = 84} \\ k =  \frac{84}{12}  \\  \boxed{k = 7}

  • <u>k = 7</u> is the right answer.
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