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2 years ago

Margo borrows $100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay.

1 answer:

defon2 years ago

8 0

Okay so she paid 100 dollars. There is 6 percent every month.

100*0.06=6

So, after 1 year it will be at 106 dollars...

But, we are looking for 6 months which is half of the year.

6/2=3...

So she will pay 3 dollars in interest.

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An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest

balandron [24]

The answer to this question is 1.1 grams

8 0

2 years ago

Read 2 more answers

A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilogram

azamat

Answer:

(a) The variance decreases.

(b) The variance increases.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The standard deviation of sample mean is inversely proportional to the sample size, n.

So, if n increases then the standard deviation will decrease and vice-versa.

(a)

The sample size is increased from 64 to 196.

As mentioned above, if the sample size is increased then the standard deviation will decrease.

So, on increasing the value of n from 64 to 196, the standard deviation of the sample mean will decrease.

The standard deviation of the sample mean for n = 64 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{64}}=0.7$

The standard deviation of the sample mean for n = 196 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{196}}=0.4$

The standard deviation of the sample mean decreased from 0.7 to 0.4 when n is increased from 64 to 196.

Hence, the variance also decreases.

(b)

If the sample size is decreased then the standard deviation will increase.

So, on decreasing the value of n from 784 to 49, the standard deviation of the sample mean will increase.

The standard deviation of the sample mean for n = 784 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{784}}=0.2$

The standard deviation of the sample mean for n = 49 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{49}}=0.8$

The standard deviation of the sample mean increased from 0.2 to 0.8 when n is decreased from 784 to 49.

Hence, the variance also increases.

6 0

2 years ago

A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49 randomly chosen locations al

NeX [460]

Complete Question

The complete qustion is shown on the first uploaded image

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

The sample size is $n = 49$

The mean is $\mu = 17ppb$

The standard deviation is $\sigma = 14 ppb$

Generally the standard error of this measurement is mathematically represented as

$\sigma_z = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{14}{\sqrt{49} }$

$\sigma_{\= x} = 2$ ppb

Now the probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb represented as P(X < 15 )

Next is to find the z value

$z = \frac{\mu -\sigma }{\sigma_{\= x}}$

$z = \frac{15-17}{2}$

$z = -1$

Now checking the z-table for the z-score of -1 we have

$P(X$

5 0

2 years ago

Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much

ValentinkaMS [17]

325%

6.5/2 is 3.25 or

5 0

2 years ago

Decimal 0.003 is 1/10 of

Grace [21]

Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

Hope I Helped!!!

6 0

2 years ago