The diameter of a circle is 7 cm. What is the circumference of the circle?( Use π = 22/7) *

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Answer:

2πr

2(22/7)(3.5)

Step-by-step explanation:

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Ganezh [65]

Answer:

$x^{2} -9x$

Step-by-step explanation:

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4 0

4 years ago

"Find the sum of the first 50 term in this sequence 4, 7, 10, 13, ...". How do i do this without writing them all out, and how d

melisa1 [442]

First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)

S=an+an−1+an−2+an−3+...+a1

S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)

Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)

2S=n(a1+an)
S=n/2(a1+an)

Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]

5 0

3 years ago

You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t

miss Akunina [59]

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population standard deviation is equal to 1.5

i.e. $\sigma = 0.5$