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2 years ago

One number is 5 more than another. The difference between their squares is 65. What are the numbers?

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

Step-by-step explanation:

Let x be the larger number.

Let y be the smaller number.

x - y = 5

x^2 - y^2 = 65 Factor the left.

(x - y)(x + y) = 65 Substitute the first equation into this equation.

5 *(x + y) = 65 Divide both sides by 5

x + y = 65/5

x + y = 13

Now list the two binomials one after the other.

x + y = 13

x - y = 5 Add

2x = 18 Divide by 2

2x/2 = 18/2

x = 9

x + y = 13 Substitute 9 for x

9 + y = 13 Subtract 9 from both sides.

y = 13 - 9

y = 4

Answer

x = 9
y = 4

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The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st

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Answer:

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

Step-by-step explanation:

Step(i):-

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻' be a random variable in Normal distribution

Let X⁻ = 325,000

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{325000-290000}{\frac{145000}{\sqrt{100} } } = 2.413$

Step(ii):-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413)$

= 0.5 - A(2.413)

= 0.5 - 0.4920

= 0.008

Final answer:-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

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2 years ago

When a number is decreased by 10% of itself, the result is 117. what is the number?

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Answer:

13:8:7

Step-by-step explanation:

84 - 24 = 60

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18 more ripe oranges than unripe oranges.

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x = unripe oranges

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3 years ago

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