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3 years ago

The answer with an explanation please

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer:

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C because there are 6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

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Show that the series is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of

Murljashka [212]

Answer:

6 terms

Step-by-step explanation:

2 − 2/4 + 2/9 − 2/16 + ...

∑ (-1)ⁿ⁺¹ 2 / n²

Applying alternating series test:

lim(n→∞) 2/n² = 0

2/(n+1)² < 2/n², so the series is decreasing.

Therefore, the series converges.

2/(n+1)² < 0.05

(n+1)²/2 > 20

(n+1)² > 40

n+1 > 6.32

n > 5.32

n = 6

7 0

3 years ago

How to do this?

Mandarinka [93]

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

7 0

3 years ago

Please help me answer.

ololo11 [35]

Answer:

D. 251.2 feet

Step-by-step explanation:

On carefully observing the diagram,it can be seen that 80 feet is the diameter of the circular ride, i.e.,the circle,in this case.

The radius of the circle will be half the diameter,r=(80/2) feet=40 feet

The distance of one complete loop of this circular path will be the circumference of the circle.

So, Circumference

=2*π*r

=2*3.14*40 feet

=251.2 feet [ANS]

7 0

3 years ago

Read 2 more answers

There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i

Morgarella [4.7K]

altogether there are 7 marbles in the bag.

put the marbles in fractions, so blue would be 3/7

and red would be 4/7. but becuase you need 2 of the same, you do

3/7 x 3/7 = 9/49

4/7 x 4/7 = 16/49

then add them togther

25/49

if you need it as a percentage, it is

51.020408163265%

8 0

3 years ago

Help me with the first one please

natulia [17]

D- 2x-1
plug in a number for x and you'll see

6 0

3 years ago