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nasty-shy [4]
3 years ago
15

Find the sum of nth term of the series 1+3/2+5/2^2+7/2^3+.......

Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)

sn = 6 - 2·0.5^n·(2·n + 3)


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Three cube shaped boxes are stacked one above the other the volumes of two of the boxes are 1331 m³ each and the volume of the t
Pepsi [2]
So to find out the answer, you need to find out the dimensions of each cube. So for the 1331, it's 11 x 11 x 11. So you know that would be 11 meters high. Now the next cube. Then there's another 1331, so that would be another 11 meters high. Then 729, also 9 x 9 x 9, so that's going to be 9 meters high. Then add all the cube square roots. 11 + 11 + 9 = 31. So the height of the stacked boxes will be 31 meters.
5 0
3 years ago
7.4 Practice
pickupchik [31]

The simulation of the medicine and the bowler hat are illustrations of probability

  • The probability that the medicine is effective on at least two is 0.767
  • The probability that the medicine is effective on none is 0
  • The probability that the bowler hits a headpin 4 out of 5 times is 0.3281

<h3>The probability that the medicine is effective on at least two</h3>

From the question,

  • Numbers 1 to 7 represents the medicine being effective
  • 0, 8 and 9 represents the medicine not being effective

From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two

So, the probability is:

p = 23/30

p = 0.767

Hence, the probability that the medicine is effective on at least two is 0.767

<h3>The probability that the medicine is effective on none</h3>

From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none

So, the probability is:

p = 0/30

p = 0

Hence, the probability that the medicine is effective on none is 0

<h3>The probability a bowler hits a headpin</h3>

The probability of hitting a headpin is:

p = 90%

The probability a bowler hits a headpin 4 out of 5 times is:

P(x) = nCx * p^x * (1 - p)^(n - x)

So, we have:

P(4) = 5C4 * (90%)^4 * (1 - 90%)^1

P(4) = 0.3281

Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281

Read more about probabilities at:

brainly.com/question/25870256

8 0
2 years ago
MULTIPLE CHOICE PLEASE HELP UWU
vodka [1.7K]

B)40 because (4)*50/5 is (4)*10

7 0
3 years ago
karen is 3 yrs younger than floyd. floyd is 2 years older than maria. marias age is the smallest two-digit number. how old are t
Alinara [238K]

Answer:

Maria is 10, Floyd is 8, and Karen is 5.

Step-by-step explanation:

Having said that Maria's age was the smallest two-digit number, that's ten. (10). If Floyd is 2 years younger then 10-2=8. Karen is 3 years younger, so she would be 8-3=5.

4 0
3 years ago
What is the equation of the line shown in the graph?
postnew [5]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, 1) and (2, -4). Substitute:

m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1

Therefore we have the equation of a line

y=-1x+b\to y=-x+b

Put the coordinates of the point (-3, 1) to the equation:

1=-(-3)+b

1=3+b      <em>subtract 3 from both sides</em>

-2=b\to b=-2

<h3>Answer: y = -x - 2</h3>
4 0
3 years ago
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