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Art [367]
2 years ago
10

The difference of two numbers is 3 and the sum of their squares is 65. find the numbers.

Mathematics
2 answers:
kenny6666 [7]2 years ago
6 0
Eg. x is the first number, y is the second number

The equation
x - y = 3
x² + y² = 65

Use subtitution to find y
x - y = 3
x = y + 3

x² + y² = 65
(y + 3)² + y² = 65
y² + 6y + 9 + y² = 65
2y² + 6y - 56 = 0
y² + 3y - 28 = 0
(y + 7)(y - 4) = 0

y = -7 or y = 4

Find x with y
If y = -7
x = y + 3
x = -4

If y = 4
x = y + 3
x = 7

So the numbers are 7 and 4, or -7 and -4
Vitek1552 [10]2 years ago
5 0
<span>The numbers are 4 and 7
j^2+k^2=65

4^2+7^2=65
16+49=65
65=65
hope i helped</span>
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Step-by-step explanation:

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Which of the following is NOT true for a hypothesis test for​ correlation? Choose the correct answer below. A. If ​|r|less than
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Answer:

Answer explained

Step-by-step explanation:

From the information, the true statements for a hypothesis test for correlation is,

If the​ P-value is less than or equal to the significance​ level, we should reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

If |r| less than or equals critical value, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

If the​ P-value is greater than the significance​ level, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

<u>Explanation</u>

According to the decision rule of P-value approach, observe that if the​ P-value is less than or equal to the significance​ level, then there is evidence to reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

Similarly, if the​ P-value is greater than the significance​ level, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

According to the critical value approach, observe that if the test statistic value is greater than the critical value, then there is evidence to reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

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