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astraxan [27]
3 years ago
15

You roll a number cube one time

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Answer:

6/6 or 1/1

Step-by-step explanation:

A standard number cube has 6 sides to it. Therefore there are 6 possibilities, as you can roll either a 1, 2, 3, 4, 5, or 6.

The question is asking what the probability is for not rolling a number more than 62. To reword the question to get rid of the confusing 'not', "What is the probability of rolling a number less than 62?"

All the possibilities on the dice are less than 62, therefore it is guaranteed you will not roll a number more than 62. The probability is 1, or written as a fraction 1/1, or 6/6, since 6 sides of the 6 sided cube are less than 62.

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The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
3 years ago
Maxwell Flooring started the year with total assets of $160,000 and total liabilities of $75,000. During the year, the business
juin [17]

Answer:

(A) $150,000

Step-by-step explanation:

As per the given data of the question,

Maxwell Flooring started the year with

Total Assets = $160,000

Total liabilities = $75,000

Revenues = $250,000

Expenses = $100,000

Dividends = $30,000

Stockholders' equity at the end of the year was given by formula:

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

Therefore,

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

SE = ($160,000 - $75,000) + ($250,000 - $100,000) - $30,000

SE = $205000

Now,

Stockholders' equity at the end of the year

=  Net income - Dividend + Assets - Liabilities

$205000  = Net income - $30,000 + $160,000- $75,000

∴ Net income = $205,000 - $55000 = $150,000

Hence,The net income reported by Maxwell Flooring for the year = $150,000  

5 0
3 years ago
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Alex73 [517]

The degree of the monomial 3x4y3 is 7

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