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PtichkaEL [24]
3 years ago
14

a small gecko is 3/4 inch long. a larger gecko is 11 1/3 times as long. how long is the larger gecko?

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

127/12

Step-by-step explanation:

11 1/3- 3/4

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Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) 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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

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

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
X+7y=24 and x-9y=-24 doing elimination
nirvana33 [79]
The easy thing to do is eliminate x by subtraction 
 
   x + 7y = 24
- x - 9y = -24
-------------------
      16y = 48

now solve for y and then substitute the value into either original equation to find x
5 0
3 years ago
What are axioms in algebra called in geometry?<br> What are axioms in algebra called in geometry
umka21 [38]

Answer:

Axioms are generally statements made about real numbers. ... Sometimes they are called algebraic postulates. Often what they say about real numbers holds true for geometric figures, and since real numbers are an important part of geometry when it comes to measuring figures, axioms are very useful

5 0
3 years ago
The length of the midsegment of a triangle is always half the length of the side it is parallel to true or false
Vladimir [108]
True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.

This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
3 0
3 years ago
Is the following UPC code valid? 375407370090. PLEASE SHOW OR EXPLAIN!!!
MAXImum [283]

Answer:

The UPC is not valid..

Step-by-step explanation:

The Universal Price Code is represented in the form of bars which is scanned when we purchase something.

The last digit of the UPC is the check digit.

Give UPC = 375407370090

To check whether the UPC is valid or not.

Step 1:

Add the digits at odd positions.

3 + 5 + 0 +3 + 0 + 9 = 20

Step 2:

Multiply the number obtained in step 1 by 3

20*3 = 60

Step 3:

The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.

7 + 4 + 7 +7 +0 = 25

Step 4:

Add the numbers obtained in Step 2 and step 3

60 + 25 = 85

Step 5:

The number obtained in step 5 is subtracted from the next multiple of 10.

In the above case,

85 will be subtracted from 90.

90 - 85 = 5

For a valid UPC, the answer to step 5 is equal to the last digit of UPC.

In the above case, the answer is 5 which is not equal to zero.

So, the UPC is not Valid.

4 0
3 years ago
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