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3 years ago

Convert the recurring decimal 2.1363636 to a mixed number

Mathematics

2 answers:

pentagon [3]3 years ago

7 0

9514 1404 393

Answer:

2 3/22

Step-by-step explanation:

Multiply by 100.

213.6363...

Subtract the original.

213.6363... -2.1363... = 211.5

Divide this by 99.

211.5/99 = 2115/990 = 2 135/990 = 2 3/22

_____

The original number you multiply by is 10^n, where n is the number of repeating digits. Then the number you divide by is (10^n -1). Here, those values are 100 and 99, because there are 2 repeating digits.

podryga [215]3 years ago

3 0

Answer:

2 + 57/550

Step-by-step explanation:

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Nicole received the following scores on her last 10 math assignments. 100, 88, 76, 78, 92, 94, 84, 98, 82, 90 What is the Nicole

Tema [17]

Answer:

Step-by-step explanation:

88+190/2=89 I hope this is enough

6 0

3 years ago

Give me an example of an irrational number that is greater than 10

Pavel [41]

To find:

An irrational number that is greater than 10.

Solution:

Irritation number: It cannot be expression in the form of $\dfrac{p}{q}$ , where, $q\neq 0, p,q$ are integers.

For example: $\sqrt{2}\sqrt{3},\pi, 1.263689...,etc.$ .

We know that square of 10 is 100. So, square root of any prime number is an example of an irrational number that is greater than 10.

First prime number after 100 is 101.

Required irrational number $=\sqrt{101}$

Therefore, $\sqrt{101}$ is an irrational number that is greater than 10.

5 0

3 years ago

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 13, 5, 2, 9, 1, 14, 3, 5, 7. Find the med

Nuetrik [128]

Answer:

The median is 7.

Step-by-step explanation:

In order to find the median, you need to ut the numbers in either least to greatest form, or greatest to least (FIRST).

I'm gonna do both as an example.

Greatest to least:

14, 13, 9, 9, 7, 5, 3, 2, 1

Least to greatest:

1, 2, 3, 5, 7, 9, 9, 13, 14

It is REALLY important that you use ALL of the numbers you are given, even if there are two or more of the same number.

The next thing you need to do is find the number that is in the middle.

It will be the same for both least to greatest AND greatest to least.

You can either count one from either side, going in a pattern, OR you can count how many there is, divide it by 2, and whatever answer you get, count that many times over from one side.

In this case, your answer goes like this:

since there are 9 numbers, and 9 is not an even number, you will have only one median. Having 2 medians IS normal and it IS ok.

In this case, you want to go down one number (from 9) and divide that. So you do 8 divided by 2, which is 4. Count that many times over and you have your answer, 7.

I hope this helped you!

Have a great dayyyy

5 0

3 years ago

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degrees°C at the fr

Sergio039 [100]

Answer:

Step-by-step explanation:

Hello!

The variable of study is X: Temperature measured by a thermometer (ºC)

This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC

To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:

P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04

First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.

z= -1.75

Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X

z= (X-μ)/σ

z*σ = X-μ

(z*σ)+μ = X

X= (-1.75-0)/1= -1.75ºC

The value that separates the bottom 4% is -1.75ºC

I hope this helps!

5 0

3 years ago

PLEASE ANSWER!!!!!

Elenna [48]

Answer:

There is a significant difference between the means of the two population

Step-by-step explanation:

The mean number of catfish caught daily at Lake Martin is 85, with the number of catfish ranging from 75 to 140.

Range = 140 - 75 = 65

The mean number of catfish caught daily at Smith Lake is 104, with the number of catfish ranging from 96 to 183.

Range = 183 - 96 = 87

Difference in mean = 104 - 85 = 19

If the confidence interval includes 0 we can say that there is no significant difference between the means of the two populations, at a given level of confidence

But by considering the mean difference and the value of range, we can say that

There is significant difference between the means of the two population

3 0

3 years ago