All categories

3 years ago

If I had n dollars in my bake account and deposited $132 what's an expression to represent the total amount I have

Mathematics

1 answer:

Deffense [45]3 years ago

4 0

Answer:

T = n + 132

Step-by-step explanation:

Initially you have n dollars in your bank account.

Since the question doesn't ask or concern the future or present value of money, after depositing $132 you will totally (T) have:

T = n + 132

You might be interested in

From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

Now we have everything in order to replace into formula (1):

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

5 0

3 years ago

The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled

Alex73 [517]

Answer:

[50, 410]

Step-by-step explanation:

If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.

If the plumber works 8 hours, his hourly charge of 8×$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.

The range of the function is $50 to $410.

4 0

3 years ago

Tumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count

Igoryamba

Answer:

The observed tumor counts for the two populations of mice are:

Type A mice = 10 * 12 = 120 counts

Type B mice = 13 * 12 = 156 counts

Step-by-step explanation:

Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.

This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate). And the Poisson distribution gives the probability of an occurrence within a specified time interval.

3 0

3 years ago

Use the FOIL method to find the product below.

Marina86 [1]

The answer is B. 35x2 + 34x + 8

8 0

2 years ago

Pa help naman guys huhu

Evgesh-ka [11]

Answer:

hdhcbhxbjftfzfbhrgegdbhdvfhhdshhtjrtjrhgdhtrhhdhrhgrrggrdgfhfhgfjjythrhthrurhgrehrh

Step-by-step explanation:

vfhdbdshgrdjfhfujdrjyhzgtjybh5kitggdegrjnrrhrutjrjhtjjtdhrhhfhhrshfngnhdhgrhffhrhdhgrrhureuufdjrrjddhdhfmmghtluhfhhgkjjjjjjghifretuyferhhgeetuhtrtyugfggfffffgghhhhkjjvfffgjjvserik her tiring hhfhchgjhfrjgfghhfetugshjjgrjjgdyljgfykjffujfeujfyuttugryuhffjjgghjgfgnjfruicseikjcdeiigdetjohgerhjhfde the na ha ha ha ha ha ha ha ha ha na SA SA SA SA SA ha ha na ha hahaha ma ha ha ha ha

3 0

3 years ago