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kaheart [24]
3 years ago
9

The difference of two numbers is 685. The smaller of the numbers is 262. What is the other number?

Mathematics
2 answers:
finlep [7]3 years ago
5 0

Answer:

947

Step-by-step explanation:

Let the bigger number be y and the smaller number be x

The difference between the two numbers is written as:

y - x

But from the question we were told that the difference between the two numbers is 685. Therefore,

y - x = 685

Also, from the question, we were told that the smaller number (x) is 262. Therefore,

y - x = 685 becomes:

y - 262 = 685

Collect like terms

y = 685 + 262

y = 947

Therefore, the other number is 947

jeyben [28]3 years ago
3 0

Step-by-step explanation:

<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>x </em><em>and </em><em>y </em>

<em>x </em><em>-</em><em> </em><em>y </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em>

<em>Let </em><em>the </em><em>smaller </em><em>number </em><em>be </em><em>y </em>

<em>x </em><em>-</em><em> </em><em>2</em><em>6</em><em>2</em><em> </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em>

<em>x </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em><em> </em><em>+</em><em> </em><em>2</em><em>6</em><em>2</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>9</em><em>4</em><em>7</em>

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The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

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n1 = 74

x1 = 37

p1 = 37/74

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Group 2 = For Men

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The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

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-0.135 ± 0.158147504109406

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= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

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Answer:

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Step-by-step

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