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labwork [276]
3 years ago
12

13. If 6 times the 6th term of an A.P. is equal to

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides

6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )

- 7a₁ + 30d = 156d ( subtract 30d from both sides )

- 7a₁ = 126d ( divide both sides by - 7 )

a₁ = - 18d

Now

a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required

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if you ad 4/55 +7/30 what should you get then take what you got and multiply it by 2 then whats the answer please hep i really n
marusya05 [52]
4/55 +7/30= 101/303
101/303 x2= 101/165
4 0
2 years ago
According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean o
Katarina [22]

Chebyshev’s Theorem establishes that at least 1 - 1/k²  of the population lie among k standard deviations from the mean.

This means that for k = 2,  1 - 1/4 = 0.75. In other words, 75% of the total population would be the percentage of healthy adults with body temperatures that are within 2standard deviations of the mean.

The maximum value of that range would be simply  μ + 2s, where μ is the mean and s the standard deviation. In the same way, the minimum value would be μ - 2s:

maximum = μ + 2s = 98.16˚F + 2*0.56˚F = 99.28˚F

minimum = μ - 2s = 98.16˚F - 2*0.56˚F  = 97.04˚F

In summary, at least 75% of the amount of healthy adults have a body temperature within 2 standard deviations of 98.16˚F, that is to say, a body temperature between 97.04˚F and 99.28˚F.

5 0
3 years ago
pls helpppp c=30m+50 and c=20m+100. solve for c and show your work.
Contact [7]

Answer:c=200

Step-by-step explanation:

30(5) + 50 = 200

20(5) + 100 = 200

-------------------------------|

100 30m

- 50 - 20m

——— ———

50 10m 50/10 = 5 [m=5]

7 0
3 years ago
Please Help I will give out brainliest
gizmo_the_mogwai [7]

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

8 0
3 years ago
Enter the equation of the line in slope-intercept form.
nordsb [41]

Answer:

y=3x

Step-by-step explanation:

8 0
3 years ago
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