MATHEMATICS COLLEGE

Sand poured from a beach pail forms a cone with a height of 32 centimeters and a volume of 3351.0 cubic centimeters. What is the radius of the sand poured from a beach pail in the shape of a cone?

Answers

Answer 1

Answer:

Answer:r=10 cm

Step-by-step explanation:

Given

Height of Cone $h=32\ cm$

Volume $V=3351\ cm^3$

and Volume of cone $V=(1)/(3)\pi r^2h$

$\Rightarrow 3351=(1)/(3)\pi (r)^2* 32$

$\Rightarrow \pi r^2=(10,053)/(32)$

$\Rightarrow r^2=(314.156)/(3.142)$

$\Rightarrow r=√(99.986)$

$\Rightarrow r=9.99\approx 10\ cm$

Answer 2

Answer:

Answer:

Radius = 5.77231 cm

Step-by-step explanation:

Volume of Cone Vc = $\pi r^2 (h/3)$ ;

where h = height of cone, r = radius, $\pi$ = 22/7

Given : Vc = 32 , h = 32 , r = ?

As per formula :- 3351 = (22/7) (r^2) (32)

r^2 = (3351 x 7) / (32 x 22)

r^2 = 33.3196

r = √33.3196 = 5.77231

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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 22 years.

Answers

Answer:

The sample size is $n = 68$

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 5 \ years$

The standard deviation is $\sigma = 22$

From the question we are told the confidence level is 94% , hence the level of significance is

$\alpha = (100 - 94 ) \%$

=> $\alpha = 0.06$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 1.881$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{(\alpha )/(2) } * \sigma }{E} ] ^2$

=> $n = [\frac{1.881 } * 22 }{5} ] ^2$

=> $n = 68$

EXAMPLE: If the function f(x) = 2x==x+4 is restricted to a domain interval of
-4 sxs 4, is the domain over the interval continuous or discrete,
and what is the range of the function?

Answers

The range of the given function in interval notation is $2\le y\le6$ .

The given function is $f(x)=(1)/(2)x+4$ and the domain interval is $-4\le x\le4$ .

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

Substitute x=4 in the given function, we get

$f(4)=(1)/(2)*4+4$

$f(4)=6$

Substitute x=-4 in the given function, we get

$f(-4)=(1)/(2)*(-4)+4$

$f(4)=2$

So, the range is $2\le y\le6$

Therefore, the range of the given function is $2\le y\le6$ .

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ3

Answer:b

Step-by-step explanation:

you order two tacos and a salad. The salad cost $2.50. You leave a three-dollar tip. Theres is no sales tax. How much does one taco cost? Show your work.

Answers

Answer:

$5.50

Step-by-step explanation:

2.50+3.00=5.50

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"write a program that takes as input an arithmetic expression. the program outputs whether the expression contains matching grouping symbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7 + 8 * 2 contains matching grouping symbols. however, the expression 5+{(13+7)/8-2*9 does not contain matching grouping symbols."

Answers

theprogram outputs whether the expression contains matching groupingsymbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7+ 8 * 2 contains matching grouping symbols. however, the expression5+{(13+7)/8-2*9 does not contain matching grouping symbols.

50 testers can complete 25 test cases in 10 days. All testers are equally productive. A project has 25 testers and 50 test cases. How much time will they take to complete?

Answers

It will take to complete cases 4 days per 5 cases.

Given that

50 testers can complete 25 test cases in 10 days.

All testers are equally productive.

A project has 25 testers and 50 test cases.

We have to determine

How much time will they take to complete?

According to the question

50 testers can complete 25 test cases in 10 days.

The number of cases completed per day is,

$= (50)/(25)\n\n= 2$

The number of cases completed per day is 2.

A project has 25 testers and 50 test cases.

The time will they take to complete is 2x.

= 2(2) = 4 days per 5 cases

Hence, they will take to complete cases 4 days per 5 cases.

To know more about Equation click the link given below.

brainly.com/question/1090830

Answer:

40 Days

Step-by-step explanation:

50 testers

25 test case

-> 10 days

(2 days per 5 cases)

25 testers

50 test cases

2x the effort of 50 testers.

(4 days per 5 cases)

-> 40 days

- It requires 1/4 of a credit to play a video game for one minute.a Emma has 7/8credits. Can she play for more or less than one minute? Explain
how you know

Answers

Answer:

Emma can play for more than one minute.

Step-by-step explanation:

1/4 is the same as 2/8 because 1/4*2=2/8.

2/8 is much smaller than 7/8.

Emma can play for 3 1/2 minutes in total.

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Caroline needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.75 hours and charged her $114 for parts. The total was $320.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.