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Varvara68 [4.7K]
3 years ago
15

This table shows the number of girls enrolled in school by class. If a student is chosen at random from this group, which is the

probability that a senior will be chosen?
Table :
Freshman - 165
Sophomore - 145
Junior - 114
Senior - 102
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

102/526

Step-by-step explanation:

This would be the answer because when u add the amount of freshman plus sophomore plus juinior and plus senior, you get the result of 526. so that would be the denominator while the number of seniors would be the numerator...

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Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1 <br> What is the solution?
elena-s [515]

Answer:

Step-by-step explanation:

Easiest way would be to substitute points into the given equations and plot your answers.

E.g. if you substitute points into your first equation you get:

If x = 0, y = -4(0) +2 = 2

If x = 1, y = -4(1) +2 = -2

If x = -1, y = -4(-1) +2 = 6

Etc.

Second equation:

If x = 0, y= -(0) -1 = -1

If x = 1, y = -1 -1 = -2

If x = -1, y = -(-1) -1 = 0

Pretty much just plug in values for x into the equations to find y.

Once you have your points, draw a line :)

Where the two lines intercept would be the solution.

5 0
3 years ago
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Ronch [10]

Answer:

<h2> </h2><h2>{1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243</h2>

Step-by-step explanation:

<h3><em><u>Question</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • To find the Binomial theorem form of \bold{(4t-3)^{5}}
<h3><em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>:</u></em><em><u>-</u></em></h3>

<em>As</em><em> </em><em>in</em><em> </em><em>Bin</em><em>omial</em><em> </em><em>theorem</em><em> </em><em>:</em><em>-</em>

  • {(x - y)}^{5}  =  {x}^{5}  - 5 {x}^{4} y + 10 {x}^{3}  {y}^{2}  - 10 {x}^{2}  {y}^{3}  + 5x {y}^{4}  -  {y}^{5}
<h3><em><u>Solution</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em></h3>

= {(4t - 3)}^{5}

  • <em>Hence</em><em>,</em><em> </em><em>on</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>Binomial</em><em> </em><em>theorem</em><em>,</em><em> </em>

=  {(4t)}^{5}  - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3}  {(3)}^{2}  - 10 {(4t)}^{2}  {(3)}^{3}  + 5(4t) {(3)}^{4}  -  {(3)}^{5}

  • <em>On</em><em> </em><em>formatting</em><em> </em>

=  {1024t}^{5}  - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2}  )(27)  + 5(4t) (81) -  243

  • <em>On</em><em> </em><em>further</em><em> </em><em>formatting</em><em>.</em><em> </em>

=  {1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em>

{1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243

6 0
2 years ago
Simplify the expression completely. −4g+8−5+ 2g
BartSMP [9]

Answer:

g = 3/2

Step-by-step explanation:

−4g+8−5+ 2g

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Answer: b

<u>Step-by-step explanation:</u>

NOTE:

  • Hypothesis: "if" part of the sentence
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hypothesis : If <u>two lines intersect at right angles</u>

conclusion: then <u>the two lines are perpendicular</u>

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Determine which relation is a function.
Nezavi [6.7K]
Functions can only have 1 value of 'x'.

Option A is not a function because it has two -5's

Option B is not a function because it has two -2's.

Option C is a function.

Option D is not a function because it has two 6's.
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