Horace is going to roll a standard number cube and flip a coin. He wonders if it is more likely that he rolls a 5 and the coin lands on heads, or roll a 5 or a coin lands on heads. Which event do you think is more likely to happen. Find the probability of both events to justify or reject your initial prediction

Answers

Answer 1

Answer: 1/6 chance to get a 5 and 1/2 chance to toss heads.

Answer: Landing on heads would be more likely because it has less outcomes.

1/12 chance of getting both on the first try

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HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot

2(X-4)+7=3 ? Which value of x is the solution

Answers

well ok.. so
2x-8+7=3
2x -1 =
+1 +1
2x=4
x=2 sorry :)

2x-8+7=3

2x-1=3

2x=4

x=2

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Answers

$12x^3 - 60x^2 + 4x - 20 \n \n GCF = 4 \n \n 4( (12x^3)/(4) + (-60x^2)/(4) + (4x)/(4) - (20)/(4)) \n \n 4(3x^3 - 15x^2 + x - 5) \n \n 4(3x^2(x - 5) + (x - 5)) \n \n 4(x - 5)(3x^2 + 1) \n \n$

The final result is: 4(x - 5)(3x² + 1).

Consider the the first six terms in the sequence 10, 29, 48, 67, 86, 105. Which statements are correct? A) The 10th term in this sequence is 199. B) The 15th term in this sequence is 276. C) The 20th term in this sequence is 389. D) The recursive formula is an - 2ₙ₋₁ + 19. E) The explicit formula is a, = 19n - 9.

Answers

Answer:

Step-by-step explanation:

This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.

The correct answer is B, when the 15th term is 276.

What is the solution of the system of equations?6x – 2y = 4
–9x + 3y = 12

infinitely many solutions
no solution
(0, –2)
(–2, 4)

Answers

Hello,
Answer B: no solution

6x-2y=4 (1)
-9x+3y=12 (2)

9*(1)+6*(2)==>0y=108
==> no solution

Write as ratio in simplest form

91%, 12%, 6%, 93%, 62%, 14%, 70%, 400%,.

Answers

a)
91/100
we cannot simplify this

b) 12/100 = 6/50
cannot be simplified further

c) 6/100 = 3/50

d) 93/100
cannot be simplified

e) 62/100 = 31/50

f) 14/100 = 7/50

g) 70/100 = 7/10

h) 400/100 = 4

when something is in percentage that means it is some part of 100% that is why we divide by 100.

Decrease £120 by 45%

Answers

120 * 45 % = 120 *0,45 = 54 £

120 -54 = 66 £

£66 multiply 120 by 45 get answer n take it away from 120

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