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3 years ago

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Mathematics

1 answer:

12345 [234]3 years ago

3 0

Answer:

A.) 65x + 35X + 50 = 250

65x = cost of concrete per cubic yard, x is yd³

35X = cost of pouring/finishing concrete per cubic yard, X is yd³

50 = delivery cost

250 = the money you have

B.) 400 + 15n = 505

15n = amount of money you deposite per week, n is # of week

400 = some money in account after n week passed

505 = initial money in bank

C.) 1.1X - 10 = 55

55 = total cost of clothes

1.1X = tax rate where X is the undiscounted clothe cost

10 = discount

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Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:

p = 1583/8641 = 0.183.

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A function can be represented by equations and tables

4 users are logged in by 9am
The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

$g(x) = \frac14 \sqrt{x - 3} + 3$

At 9am, x = 9.

So, we have:

$g(x) = \frac14 \sqrt{9 - 3} + 3$

$g(x) = \frac14 \sqrt{6} + 3$

Simplify

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Approximate

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Hence, 4 users are logged in by 9am

<h3>The domain</h3>

Set the radical to 0

$x - 3 = 0$

Solve for x

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The maximum time after midnight is 23 hours.

So, the domain is [3,23]

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When x = 3, we have:

$g(x) = \frac14 \sqrt{x - 3} + 3$

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When x = 23, we have:

$g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4$

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