MATHEMATICS COLLEGE

The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 yearusing compound interest.

Answers

Answer 1

Answer: Total value=
112/100 x 112/100 x 30,000
= 37632 Rs

Answer 2

Answer:

Answer:

37632

Step-by-step explanation:

An=A(1+12%)²

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Which of the following statements is not true? A. If the probability of an event occurring is 1.5, then it is certain that event will occur. B. If the probability of an event occurring is 0, then it is impossible for that event to occur.

Answers

Answer:

Therefore, we conclude that the statement in (A) is incorrect.

Step-by-step explanation:

We have the following sentences:

A) If the probability of an event occurring is 1.5, then it is certain that event will occur.

B) If the probability of an event occurring is 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that is equal to 1.5.

Therefore, we conclude that the statement in (A) is incorrect.

Consider random samples of size 40 from a population with proportion 0.15. (a) Find the standard error of the distribution of sample proportions.
Round your answer for the standard error to three decimal places.
mean=______
standard error=_______
(b) Is the sample size large enough for the Central Limit Theorem to apply?
1. Yes
2. No

Answers

The standard error of the distribution of sample proportions is 0.056 and mean is 0.15.

Yes, the sample size is enough for the Central Limit Theorem to apply.

(a). Given that, size of sample, $n=40$

Proportion, $p=0.15$

In the distribution of sample proportions, mean $\mu=p$

and, standard error = $\sqrt{(p(1-p))/(n) }$

So, mean $\mu=0.15$

Standard error = $\sqrt{(0.15(1-0.15))/(40) }=0.056$

(b). The Central Limit Theorem applies if np > 5 .

$np=40*0.15=6>5$

Thus, the Central Limit Theorem is applied.

Learn more:

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Answer:

a) The mean is 0.15 and the standard error is 0.056.

b) 1. Yes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions p, in samples of size n, the mean is $\mu = p$ and the standard error is $s = \sqrt{(p(1-p))/(n)}$ . The Central Limit Theorem applies is np > 5 and np(1-p)>5.

In this question:

$n = 40, p = 0.15$

(a) Find the mean and the standard error of the distribution of sample proportions.

$\mu = 0.15, s = \sqrt{(0.15*0.85)/(40)} = 0.056$

So the mean is 0.15 and the standard error is 0.056.

(b) Is the sample size large enough for the Central Limit Theorem to apply?

np = 40*0.15 = 6 > 5

np(1-p) = 40*0.15*0.85 = 5.1>5

So yes

The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that is it ready for service.can someone help? i know the answer but i need to show work as to how thats the proper answer.

Answers

Answer:

79.8%

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it's incorrect.

The short run is defined as a period of time whereSelect one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.

Answers

Answer:

Step-by-step explanation:

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Final answer:

The short run in economics is a period in which some of a firm's inputs are fixed. These fixed inputs can include capital, such as the factory building, which cannot be adjusted quickly in response to changes in economic circumstances. Meanwhile, in the long run, all of a firm's inputs can be changed.

Explanation:

In economics, the short run is referred to as a period wherein some of a firm's inputs are fixed. Notable examples of these fixed inputs can be capital or the factory building, which cannot be increased or decreased instantaneously in response to economic circumstances. This distinguishing characteristicseparates the short run from the long run where, in contrast, firms have the flexibility to change all inputs.

Examples

For instance, consider a bakery production. In the short run, the bakery cannot immediately expand its premises or decrease the size of its building if the demand changes. The equipment can't be heightened, the building is fixed and it can't be altered. Here, the bakery can increase production by hiring more employees or extending their hours which are known as variable inputs but cannot change its fixed inputs like the size of the building or equipment.

Learn more about Short Run in Economics here:

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A,B and C are the vertices of a triangle,A has coordinates (4,6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
prove that DE is parallel to BC.