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rewona [7]
3 years ago
6

a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 2

will occur on one toss of the number cube
Mathematics
2 answers:
Yuri [45]3 years ago
6 0
Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666
iris [78.8K]3 years ago
5 0

Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.

Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.

and as we know that probability is given using the formula

P(E)= \frac{n(E)}{n(S)}\\ \\

Substitute the values we get

P(E)= \frac{1}{6}

Hence the required probability is 1/6.

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Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).
kozerog [31]

Answer:

The answer to your question is    y = -2x + 11

Step-by-step explanation:

A (1, 9)

B (3, 5)

- Find the slope

 m = \frac{y2 - y1}{x2 - x1}

 m = \frac{5 - 9}{3 - 1}

 m = \frac{-4}{2}

        m = - 2

- Find the line equation

        y - y1 = m (x - x1)

        y - 5 = -2(x - 3)

        y - 5 = -2x + 6

        y = -2x + 6 + 5

        y = -2x + 11

8 0
2 years ago
Read 2 more answers
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
Can 0.2 0.6 3 and 9 make 24?
saveliy_v [14]

Answer:

Yes

Step-by-step explanation:

9 x 3 - (0.6/0.2)   Simplify the parentheses

9 x 3 - 3               Multiply 9 by 3

27 - 3                   Subtract

24

5 0
3 years ago
Determine the minimum and maximum points in the function x2+4x+1​
olga2289 [7]
7 is the right answer your looking for.
3 0
3 years ago
Solve for u<br> 2- 5/6u is less then -3
statuscvo [17]

Answer:

2(u-5)-6u

2u-2•5

2u-10

2u-10-6u

2u-6u-10

-4u-19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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