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I am Lyosha [343]
3 years ago
14

Martina made a block tower that was 2 1/3 ft tall. She had a toy giraffe that was 1 1/3 ft tall. She had another tower that was

3 1/4 ft tall.
How tall would the towers be if placed one on top of the other?



A. 4 2/3 ft

B. 5 7/12 ft

C. 6 2/3 ft

D. 6 11/12 ft
Mathematics
2 answers:
Zarrin [17]3 years ago
6 0
The answer is B. 2 1/3+ 3 1/4 equals5 7/12
Marysya12 [62]3 years ago
4 0
To add fractions, you need to have a common denominator, its usually easiest to find the least common denominator so you dont have to simplify over and over again. if you add the whole numbers you get 6. you can also add the 1/3 + 1/3 because the same denominator you get 2/3 and still have to add 1/4. their common denominator is 12, to make the denominators 12, you have to do the same thing to the numerator that you do to the denominator. so to make 2/3 have a denominator of 12, you have to multiply both the top and bottom by 4 so you get 8/12. then doing the same for the 1/4 you multiply the top and bottom by 3 and get 3/12. adding 8/12 + 3/12 = 11/12 plus the 6 whole numbers so the answer is D. 6 11/12 ft. this is also more visual with the fractions so try writing it out to see if you understand. let me now if you need more help or want to try a few other examples, thanks!
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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â  Suppose a small group of 11 Allen's humming
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Answer:

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

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=3.15 represent the sample mean

\mu population mean (variable of interest)

\sigma=0.38 represent the population standard deviation

n=11 represent the sample size  

Solution to the problem

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 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that z_{\alpha/2}=1.28

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

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

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3 years ago
If 6 pounds of strawberries cost $11.94 what is the cost of 8 pounds
Thepotemich [5.8K]
First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!
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Answer:

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Step-by-step explanation:

To find Area you have times do length times Width so you would be doing 3/5 times 2/3 which would give you 2/5.

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