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kykrilka [37]
3 years ago
6

The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?

Mathematics
1 answer:
Annette [7]3 years ago
6 0
a_2=a_1+d
a_3=a_2+d=a_1+2d
a_4=a_3+d=a_1+3d
...
a_{15}=a_1+14d

Since a_1=-3 and a_{15}=53, the common difference d is

53=-3+14d\implies d=4
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3 0
3 years ago
Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each
Ede4ka [16]

Answer:

(A) the specific number of siblings for each randomly selected student

Step-by-step explanation:

First Timothy wants to estimate the mean number of siblings for each student in his school

So he selected a random sample of 75 students, then recorded the number of siblings they have

He later find the mean.

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Option A clearly indicates a mean was obtained for the siblings that were from the randomly selected students.

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3 years ago
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Pani-rosa [81]

Answer:

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Step-by-step explanation:

Consider the given equation is

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Using the properties of logarithm we get

\ln x^2+\ln (x-2)=0            [\because \ln a^b=b\ln a]

\ln (x^2(x-2))=0             [\because \ln (ab)=\ln a+\ln b]

\ln (x^2(x-2))=ln 1              [\because \ln 1=0]

On comparing both sides we get

x^2(x-2)=1

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Using graphing calculator, the real solution of the above equation is

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Therefore, the value of x is about 2.206.

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Answer:

2

Step-by-step explanation:

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7 0
2 years ago
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