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natali 33 [55]
3 years ago
14

Mario collected data from his classmates on their favorite subject among math, science, english and history. The data is display

ed in the table. Is it likely that a student likes math more if they are in 9th grade or 12th grade? Justify your answer.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
You are looking for two conditional probabilities. The first is that a person likes math given they are in 9th grade and the second is that a person likes math given they are in 12th grade. <span>12th grade. The conditional probability that a 12th grader likes math is 0.412, while the conditional probability that a 9th grader likes math is 0.390

</span>
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
Jane spent 2/5 of her money on games. She had $120 remaining. What was the cost of the games Jane bought?
Ostrovityanka [42]

Answer:

i think it would be $80 (brainliest??)

Step-by-step explanation:

jane had a total of $200 BEFORE she spent on 2 games

1. $40

2. $40

3. $40

4. $40

5.$40

2 games = $80

3 games = $120 (money she had left)

5 0
3 years ago
Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is
ryzh [129]

Answer:

The correct answer is C.

Step-by-step explanation:

I took the test

8 0
3 years ago
Read 2 more answers
Last season two running back’s on the Steelers football team rushed or a combined total of 1550 yards one rushed four times as m
ruslelena [56]

Answer:

One ran 1240 yards the other ran 310 yards.

Step-by-step explanation:

1550/5=310

310 times 4 is 1240

5 0
3 years ago
Read 2 more answers
................................find 8% of 2.36.
slega [8]
2,36 ------- 100%
x ---------    8%
----------------------

 x = 2,36*8/100 = 0,18 

hope helped 
8 0
3 years ago
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