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siniylev [52]
2 years ago
12

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream.The ice cream is t

o be filled into cons of height 12 cm and diameter 6 CM, having a hemispherical shape on the top.Find the number of such cones which can be filled with ice cream.​
Mathematics
1 answer:
Papessa [141]2 years ago
6 0

Answer:

-----------------------------

You need 15 cones

-----------------------------

Step-by-step explanation:

A 12 cm by 15 cm cylinder is filled with ice cream. (Pi*Radius Squared* Height = volume of cylinder). 6 Squared * Pi * 15 = 1696.4 Cubic Centimetres of Ice Cream. The volume of the cone is calculated in almost the same way as a cylinder (One-Third*Pi*Radius Squared* Height= Vol. of cone). 12 cm * 9 cm * pi * 1/3 = 113.1 per Ice Cream Cone. Now we find out how many ice cream cones we need. 1696.4 / 113.1 = 14.999

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The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
2 years ago
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

\dfrac{1850}{400.73}=4.61657

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0
2 years ago
The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.
san4es73 [151]
The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
        m = 30 - 3r = 0
              r = 10

The domain is therefore [0, 10]. 

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30]. 

The function is discrete because r and m cannot take every value in the number line. 
5 0
2 years ago
Pismo Beach, California, has an annual clam festival that includes a clam chowder contest. Judges rate clam chowders from local
Alborosie

Answer:

Denny's chowder wont have because the winner was picked anonymously without due fact and figure. The judges would have attached a contestant tag to the chowders prepared for the annual clam festival. The winner was declared without any reason to back up that indeed the chowder had been from Denny's chowder

B..1, Experiments are often blinded this way because of the bias of the individual measuring the experiment

2. Also lack of facts and figures to justify results

Step-by-step explanation:

Do you think that Denny’s chowder would have won the contest if the judging had not been "blind?" Explain.

Although this was not an experiment, your answer to Part (a) helps to explain why those measuring the response in an experiment are often blinded

Denny's chowder wont have because the winner was picked anonymously without due fact and figure. The judges would have attached a contestant tag to the chowders prepared for the annual clam festival. The winner was declared without any reason to back up that indeed the chowder had been from Denny's chowder.

Using your answer in Part (a), explain why experiments are often blinded in this way

1.. Experiments are often blinded this way because of the bias of the individual measuring the experiment

2. Also lack of facts and figures to justify results

6 0
2 years ago
A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le
borishaifa [10]

Answer:

1000-1.96\frac{2}{\sqrt{4}}=998.04    

1000+1.96\frac{2}{\sqrt{4}}=1001.96    

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".

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 0.95 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: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

1000-1.96\frac{2}{\sqrt{4}}=998.04    

1000+1.96\frac{2}{\sqrt{4}}=1001.96    

5 0
2 years ago
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