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postnew [5]
3 years ago
7

Describe in detail how you would plot the value 2 3/8 on a number line

Mathematics
1 answer:
malfutka [58]3 years ago
5 0
Between 2 and 3, after the 2 1/4 point, but before the halfway point.
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2 years ago
Please help with this question
stealth61 [152]

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6 0
3 years ago
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary
AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

S_{n}=\frac{a(1-r^{n})}{1-r} , where

  • a is the first term
  • r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = \frac{-5}{6}

∵ \frac{25}{6} ÷ -5 = \frac{-5}{6}

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is \frac{-5}{6}

∴ r =  \frac{-5}{6}

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}

∴ S_{8}=2.511595508

- Round it to the nearest hundredth

∴ S_{8}=2.51

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random.
DerKrebs [107]

corrected question:A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random. For each of the following, find the probability that: a) both marbles are blue b) both marbles are the same color  c)the marbles are different in color

Answer:

Step-by-step explanation:

<u><em>The probability was done with replacement.</em></u>

Probaility of an event happening=\frac{number of required outcomes}{number of possible outcomes}

number of blue marbles= 2

number of green marbles=5

total number of marbles=7

(a) probability that both marbles are blue = pr(first is blue)*pr(second is blue)

                                  =\frac{2}{7}*\frac{2}{7}

                                   =\frac{4}{49}

(b)probability that both marbles are the same color =pr(first is blue)*pr(second is blue) + Pr(first is green)*Pr(second is green)

   =\frac{4}{49} + \frac{5}{7}*\frac{5}{7}

   =\frac{4}{49} + \frac{25}{49}

 =\frac{29}{49}

(c)Probability that the marbles are different in colors=pr(first is blue)*pr(second is green) + Pr(first is green)*Pr(second is blue)

  =\frac{2}{7}*\frac{5}{7}+ \frac{5}{7}*\frac{2}{7}

           =\frac{10}{49}+\frac{10}{49}

      =\frac{20}{49}

6 0
3 years ago
Find the difference between the two numbers on a number line -7 1/5 and -4 2/3
morpeh [17]

Answer:

do the rest urself

Step-by-step explanation:

-7 1/5= -36/5

-4 2/3= -14/3

-14/3-(-3

6 0
3 years ago
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