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3 years ago

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. ∞ 4 n(n + 2) n = 1

Mathematics

1 answer:

Genrish500 [490]3 years ago

4 0

Nothing more can be done to this equation as far as I know

∞ 4n(n +2)n = 1

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Six cakes cost $2.40 so how much do 10 cakes cost?

Gemiola [76]

$6c...........2.40\$ \\ 10c...........x \\\\ x=\frac{2.40*10}{6}= \frac{24.0}{6} \\\\ \boxed{x=4\$}$

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3 years ago

Read 2 more answers

Someone please help me on this question ?:)

katrin2010 [14]

Answer: The TV is 48 inches wide.

Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :

a^2 + b^2 = c^2 You say this as "A squared plus b squared equals c squared"

To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2

See :

52^2 - 20^2 = b^2 *The ^2 means "to the power of" aka an exponent*

2704 - 400 = b^2 *When dealing with ^2, all you do is multiply the number by itself*

2304 = b^2 *Next, we find the square root of our current number.*

48 = b

*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)

3 0

3 years ago

Convert 9.46 x 10^12 to expanded form

Vaselesa [24]

Your answer would be

7 0

3 years ago

The bad debt ratio for a financial institution is defined to be the dollar values of loans defaulted divided by the total dollar

Nimfa-mama [501]

Answer:

(a) NULL HYPOTHESIS, $H_0$ : $\mu \leq$ 3.5%

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 3.5%

(b) We conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Step-by-step explanation:

We are given that a random sample of seven Ohio banks is selected.The bad debt ratios for these banks are 7, 4, 6, 7, 5, 4, and 9%.The mean bad debt ratio for all federally insured banks is 3.5%.

We have to test the claim of Federal banking officials that the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

(a) Let, NULL HYPOTHESIS, $H_0$ : $\mu \leq$ 3.5% {means that the the mean bad debt ratio for Ohio banks is less than or equal to the mean for all federally insured banks}

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 3.5% {means that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks}

The test statistics that will be used here is One-sample t-test;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean debt ratio of Ohio banks = 6%

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 1.83%

n = sample of banks = 7

So, test statistics = $\frac{6-3.5}{\frac{1.83}{\sqrt{7} } }$ ~ $t_6$

= 3.614

(b) Now, at 1% significance level t table gives critical value of 3.143. Since our test statistics is more than the critical value of t so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Hence, Federal banking officials claim was correct.

7 0

3 years ago

9 X 5.000 = 9 x ____thousands

OverLord2011 [107]

Answer:

5x 1000

Step-by-step explanation:

4 0

3 years ago