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3 years ago

What can 36 over 121 be simplified to ?

Mathematics

2 answers:

Brut [27]3 years ago

8 0

Answer: it's 121/38

Step-by-step explanation:

rosijanka [135]3 years ago

5 0

36 over 121 cannot be simplified, it is already in its simplest form.

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a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 1

Elenna [48]

The radius of the container is 2 centimeter

<h3><u>Solution:</u></h3>

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

<em><u>The volume of cylinder is given as:</u></em>

$\text {volume of cylinder }=\pi r^{2} h$

Where "r" is the radius of cylinder

"h" is the height of cylinder and $\pi$ is constant has value 3.14

Substituting the values in formula, we get

$\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}$

Taking square root on both sides,

$r = \sqrt{4}\\\\r = 2$

Thus the radius of the container is 2 centimeter

4 0

3 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

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:

$df=n-1=50-1=49$

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(0.025,49)".And we see that $t_{\alpha/2}=2.01$

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

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

One market sells a 3 kilogram bag of tortillas for 42 pesos and another sells 2 kilograms of tortillas for 26 pesos which unit p

Dafna1 [17]

Answer:

2 kilogram bag.

Step-by-step explanation:

To figure this out, we need to divide the price by the amount of kilograms. Lets start with the 3 kilo bag. Divide 42 by 3, let y equal the price per kilo

42/3=y

Divide

14=y

Now lets do the same with the 2 kilo bag. Divide 26 by 2. Let x be this number.

26/2=x

divide

13=x

The 2 kilo bag is better as its 13 pesos per kilo compared to the 3 kilo bag's 14 pesos per kilogram.

3 0

3 years ago

Find the volume of a cylinder made by rotating a rectangle with a width of 5 feet and a length of 8. Round to the nearest whole

pav-90 [236]

<span>We have to find the volume of a cylinder made by rotating a rectangle. When a rectangle with a width of 5 feet and a length of 8 feet rotates it makes a cylinder with a radius: r = 5 ft and a height h = 8 ft. The volume of a cylinder: V = r^2 * Pi *h ; V = 5^2 * 3.14 * 8; V = 25 * 3.14 * 8; Answer: Volume of a cylinder is V = 628 ft^2. </span>

5 0

3 years ago

Read 2 more answers

Mark has taken 3 tests this semester and his average is a 78%. He really wants to

aivan3 [116]

Answer:

I would say 82 but it depends on how much each test was worth.

Step-by-step explanation:

7 0

3 years ago