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kirza4 [7]
3 years ago
8

Express 9.85 as a mixed number.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0
Write the decimal number as a fraction
(over 1)
9.85 = 9.85 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator = 9.85 × 10 × 10 = 985

Denominator = 1 × 10 × 10 = 100

Numerator / Denominator = 985 / 100

Simplifying our fraction

= 985/100

= 197/20

= 9  17/20
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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
denpristay [2]

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

H_0: \mu  = 0

At the alternative hypotheses, it is tested if it has decreased, hence:

H_a: \mu < 0.

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The parameters are given as follows:

\overline{x} = -1.75, s = 7.12, n = 35.

Hence the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

5 0
2 years ago
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the de
almond37 [142]

Answer:

n=19

d=12

$225n+$250d=

$225(19)+$250(12)=

4275+3000

=7275

Step-by-step explanation:

4 0
2 years ago
And I oop- T^T<br><br> Send help
Rufina [12.5K]

I sent help but no one answered :(

Jk, I got you fam

12(t + 2) + 4 ≥ - 8

12t + 24 + 4 ≥ - 8

12t + 28       ≥ - 8

12t               ≥ - 8 - 28

12t               ≥ - 36

t                  ≥ - 36 ÷ 12

t                  ≥ - 3

Solution:

t ≥ -3

4 0
3 years ago
Read 2 more answers
If 4 gallons of milk cost $16.76 how much would 7 gallons of milk cost
professor190 [17]
$16.76 divided by 4 = $4.19 each gallon
So $4.19 x 7 gallons = $29.33
8 0
3 years ago
The figure below is a right rectangular prism. which expression represents the volume of the prism?
Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:  

     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

____________________________________________________

in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

    length, "L"  :    L  = 3 units ;

    height, "h" :    h =  8 units.

_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

          →   V  =  L  * w * h   ;    Now plug in the values given:

          →   V =  (3 units)  * (2 units)  * (8 units) ;

                   

                    =  3 * 2 * 8 * (units) * (units) * (units) ;

                    =  3 * 2 * 8 * units ³  ;

                    =  48 units ³ .    

_________________________________________________                    

Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

               — and within the "Brainly" community!

_________________________________________________

4 0
3 years ago
Read 2 more answers
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