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kotegsom [21]
3 years ago
14

Please can someone help me

Mathematics
2 answers:
postnew [5]3 years ago
6 0

Answer:

706.86 cm

Step-by-step explanation:

=4pi(r^2)

=12.56(r^2)

=12.56(7.5^2)

=12.56(56.25)

=706.86

PSYCHO15rus [73]3 years ago
4 0
Answer is 706.86.......
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9+3x=18-6x find for x
Sedbober [7]

Answer:

Hiya There!!!

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Isolate the variable by dividing each side by factors that don't contain the variable.

x =  1

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5 0
3 years ago
In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed th
timama [110]

Answer:

The probability that a student who completed the homework failed the test is 0.211.

Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Denote the events as follows:

P = a student passes the test

F = a student fails the test

X = a student completes the assignment

Y = a student does not completes the assignment

From the information provided the summary table is as follows:

             P            F         Total

 X         <u>15</u>           <u>4</u>           19

 Y          <u>2</u>            <u>6</u>            <u>8</u>

Total      17          <u>10</u>          27

Compute the probability that a student completed the assignment and failed the test as follows:

P(X\cap F)=\frac{n (X\cap F)}{N}=\frac{4}{27}

Compute the probability that a student completed the assignment as follows:

P(X)=\farc{19}{27}

Compute the probability that a student failing the test given that the student completed the assignment as follows:

P(F|X)=\frac{P(X\cap F)}{P(X)}=\frac{4/27}{19/27}=\frac{4}{19}=0.21053\approx 0.211

Thus, the probability that a student who completed the homework failed the test is 0.211.

7 0
3 years ago
There are 224 gallons of water in 16 tanks.<br> Find the number of gallons of water per tank
Alexus [3.1K]

Answer:

14 gallons

Step-by-step explanation:

224/16 = 14

8 0
3 years ago
Read 2 more answers
One positive number is one-fifth of another number. the difference of the two numbers is 84. find the numbers.
seraphim [82]
Answer:  The numbers are:  " 21 " and " 105 " .
___________________________________________________
Explanation:
___________________________________________________
Let "x" be the "one positive number:

Let "y" be the "[an]othyer number".

x = 1/5 (y)
___________________________________________________
Given that the difference of the two number is "84" ;  and that "x" is (1/5) of  "y" ;  we determine that "x" is smaller than "y".

So, y − x = 84 .

Add "x" to each side of this equation; to solve for "y" in terms of "x" ;

y − x + x = 84 + x  ;

 y = 84 + x ;
___________________________________________________
So, we have: 

 x = (1/5) y ;

and:  y = 84 + x  ;

Substitute "(1/5)y" for "x" ;  in  "y = 84 + x " ;  to solve for "y" ;

 y = 84 + [ (1/5)y ]

Subtract  " [ (1/5)y ] " from EACH SIDE of the equation ;

y − [ (1/5)y ] = 84 + [ (1/5)y ] −  [ (1/5)y ]  ;

to get:

  [ (4/5)y ] = 84 ;


       ↔    (4y) / 5 = 84  ;
      
        →  4y = 5 * 84  ;

      Divide EACH SIDE of the equation by "4" ; 
to isolate "y" on one side of the equation; and to solve for "y" ;

           4y / 4 = (5 * 84) / 4 ;

                 y =  5 * (84/4) = 5 * 21 = 105 .

   y = 105 .
___________________________________________________
Now, plug "105" for "y" into:
___________________________________________________
Either:
___________________________________________________
 x = (1/5) y ;

OR:

  y = 84 + x  ;
___________________________________________________
to solve for "x" ;
___________________________________________________
Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
___________________________________________________
Start with:

x = (1/5)y 

    →  (1/5)*(105) = 105 / 5 = 21 ;  x = 21 ; 

___________________________________________________
So, x = 21;  y = 105 .
___________________________________________________
Now, let us see if this values hold true in the other equation:
___________________________________________________
y = 84 + x ;

105 = ? 84 + 21 ?
 
105 = ? 105 ? Yes!
___________________________________________________
The numbers are:  " 21 " and  "105 " .
___________________________________________________

6 0
4 years ago
A computer is used to pick three letters, one after the other, from {A.B}. Each letter can be picked more than once and has the
grin007 [14]
This is material out of the lesson of basic mathematics of compound probability. 

To solve this problem, we first must count the number of outcomes (n) for this experiment. There are 2 rows of 4, so there are 8 outcomes. Now we must find what exactly the answer is looking for.

The answer is looking for the answer to the compound probability statement; P( A then B then A). If you look at the table of outcomes (results), there is one result that matches ABA. So, find the number of specific outcomes from the set of events and divide it by the total number of outcomes. 

Solution:
1/8= 0.125


3 0
3 years ago
Read 2 more answers
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