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3 years ago

If a1 = 10 and an = 3an-1 then find the value of a6.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer:

a(6)=2430

Step-by-step explanation:

a(1)=10

a(n)=3×a(n-1)

This is a geometric sequence, with ratio=3

a(2)=3×a(1)=3×10

a(3)=3×a(2)=3²×10

a(6)=3⁵×20=(27×9)×10=243×10=2430

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Whats the action “verb of the boy runs into the woods”? Please help

Brilliant_brown [7]

Answer:

the boy runs onto the woods

Step-by-step explanation:

verb: a word that describes an action

so the answer is runs

4 0

3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

6 0

2 years ago

ra1l [238]

It cost 5 per game , hope it helps

3 0

3 years ago

141÷6 (a) Write a story problem that matches this expression. (b) Solve the problem. (c) Does the quotient in your problem have

avanturin [10]

There is a type of ammo in f/o/r/t/n/i/t/e that can be magically used for every single gun. You open an ammo box, and out pops 141 rounds of that ammo. You have already collected 6 guns. How many rounds go into each gun?

The answer is 23.5

THERE IS A REMAINDER??

Nothing happens! Literally! It never happened! There is no ammo that can be used for all the guns. GG and hope to see you on the game sometime, cause...i am not allowed to have it.

8 0

3 years ago

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. She returned home by the same route at the aver

drek231 [11]

Answer: Time it took her to get to the school is 0.6 hours

The distance of the school from their home is 27 miles

Step-by-step explanation:

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.

Let x miles = distance from the school to their home.

Distance = speed × time

Time = distance / speed

Time used in going to school will be

x/45

She returned home by the same route. This means that distance back home is also x miles.

She returned at an average speed of 30 miles per hour.

Time used in returning home from school will be x/30

x/45

If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore

x/30 + x/45 = 1.5

(15x + 10x) /450 = 1.5

15x + 10x = 450 × 1.5 = 675

25x = 675

x = 675/25 = 27

Time it took her to get to the school will be x/45

= 27/45 = 0.6 hours

8 0

3 years ago