<h3>Steps to solve the problem:</h3><h3>
</h3><h3>Answer:</h3><h3>
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Define x :
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Let one of the number be x. The other number is x + 2.
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Construction Equation :
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The sum of the square of the two number is 202.
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Solve for x :
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x = -11 is rejected, since it only want positive integer.
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Find the two numbers :
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x = 9.
x + 3 = 11
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Answer: The numbers are 9 and 11.----------------------------------------------------------
Answer:
(-6, 1)
Step-by-step explanation:
Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.
Difference in x from D to F:
-9 - (-1) = -8
5/8 * (-8) = -5
Difference in y from D to F:
-5 - 11 = -16
5/8 * (-16) = -10
x: -1 - 5 = -6
y: 11 - 10 = 1
Answer: (-6, 1)
The probability that the event management company will sign the contract with the dance studio is; c. 0.024
<h3>How to solve binomial probability?</h3>
The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
Read more about Binomial Probability at; brainly.com/question/2879525