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3 years ago

12) Josh has $252 in his bank account. This is $12 more than 6 times the amount of money

Mathematics

1 answer:

OLga [1]3 years ago

7 0

Answer:

Step-by-step explanation:

(252-12)/6=40

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Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of

3241004551 [841]

Answer:

Step-by-step explanation:

Given that:

$\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}$

since cos (kπ) = $-1^k$

Then, the series can be expressed as:

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}$

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its $(n+1)^{th$ term.

∴

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}$

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}$

$= \dfrac{4}{64+2}$

$=\dfrac{2}{33}$

5 0

2 years ago

12. Find the measure of the largest angle in the triangle shown.

Art [367]

Step-by-step explanation:

all angles of a triangle sum to 180

180 = 15x + 24x +21x

180=60x

solve for x

then substitute that for 24(x) to get the angle

7 0

3 years ago

Read 2 more answers

One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s

siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

$S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}$

on substituting the given respective values, we get

$S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}$

$S^{2}_{p}$ = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0

3 years ago

dean counted 10 red cards, 10 black catds, and 20 blue cards in a deck of cards. what is the ratio of red cards to all cards?

miv72 [106K]

Answer:

10:40

Step-by-step explanation:

10+10+20=40

10 red cards

4 0

3 years ago

-2(x+2/3)+1=5 Please somebody help me out there in brainly land

Harrizon [31]

X=-1.8
To solve first use the distributive property to change the equation to -2x+1 1/3+1=5
Then you subtract 1 from 5 so then the equation looks like this: -2x+1 1/3=4
Next subtract 1 1/3 from 4 to get 3.6
then divide it by -2 and you get -1.8

4 0

3 years ago