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Elanso [62]
3 years ago
6

What is the value of 9 in 309.15​

Mathematics
1 answer:
stira [4]3 years ago
4 0
The answer is tens because all the numbers the decimal end with an ‘s’, and all the numbers the decimal end with a ‘ths’.
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Which set of numbers is correctly ordered from greatest to least?
shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}

Option 2:

7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}

Option 3:

3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}

Option 4:

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}

Solution:

Lets write each of the above given numbers in a simplified form:

7\frac{1}{3}

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

7\frac{1}{3} = 7.3

\frac{221}{30}

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\frac{221}{30} = 7.367

7.36

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

3.16\sqrt{2e}

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \sqrt{2*2.718}

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

3.16\sqrt{2e} = 7.368

7.367995

Now we get the numbers in decimal form:

7\frac{1}{3} = 7.333333 = 7.3

\frac{221}{30} = 7.3666666667 = 7.367

7.36 = 7.3636363636

3.16\sqrt{2e} = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

3.16\sqrt{2e}

\frac{221}{30}

7.36

7\frac{1}{3}

So the correct option is:

Option 4

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}  

7 0
3 years ago
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year.
Schach [20]

Answer: C. The measures of variation reveal nothing about the pattern over time.

Step-by-step explanation:

Given the following :

10 17 10 16 11 3 8 5 4 4 17 5 8 17

Range of hurricane data = 16

The standard deviation of sample data = 5.5 hurricanes

The variance of the sample data is 30.3 hurricane^2.

The measures of variation described above only shows the spread of the hurricane such as the range, that is the highest and lowest recorded.

The variance explains how spread out the data is and the standard deviation explains how values of a data differs from the mean value. The data fails to give time related information or pattern.

6 0
3 years ago
PLEASEE HELP!!
Alex777 [14]

Answer:

<h2>A)t=6.7</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic equation
  • quadratic equation word problems
  • solving quadratic
<h3>given:</h3>

h(t) = -4t² + 12t + 100

<h3>to solve:</h3>

t

<h3>tips and formulas:</h3>
  • <u>the</u><u> </u><u>Ball</u><u> </u><u>will</u><u> </u><u>hit </u><u>the</u><u> ground</u><u> </u><u>when</u><u> </u><u>the</u><u> height</u><u> is</u><u> </u><u>0</u>
  • <u>solving</u><u> </u><u>quadratics </u><u>using</u><u> </u><u>quadratic</u><u> formula</u>
  • <u>PEMDAS</u>
<h3>let's solve: </h3>

step - 1 :  \: define

- 4 {t}^{2}  + 12t + 100 = 0

step - 2 :  \\ divide \: both \: sides \: by \:  - 4

{t}^{2}  - 3t - 25 = 0

step - 3 :  \\ solve \: the \: quadratic

formula :  \\ x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac }  }{2a}

define \: a ,b \: and \: c \\ which \: are \: 1, - 3 \: and \:  - 25 \: respectively

t =  \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4.1. - 25 }  }{2.1}

t =  \frac{  3± \sqrt{ 9    + 100}  }{2}

t = \frac{3 +  \sqrt{ 109 } }{2}

t =  \frac{3  -  \sqrt{ 109 } }{2}

t = 6.7 \\ t =  - 3.7

as \: we \: know \: time \: cannot \: be \: negative

\huge \therefore \: t = 6.7

5 0
3 years ago
Use the number 913,256 Write the name of the period that has the digits 913.
Alborosie

Thousand - units, tens, hundreds, etc

913,000

7 0
3 years ago
Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re
attashe74 [19]

Answer: \frac{11}{15}

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

LCM=5*3=15

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}

7 0
3 years ago
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