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Irina18 [472]
3 years ago
14

X/9=4/y=y/36 solve for x

Mathematics
1 answer:
Vlada [557]3 years ago
4 0
This is not possible, unless x = 1.
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A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

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3 years ago
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Which describes the pattern of the data in the graph
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Need a photo of the graph to help.
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Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3
bixtya [17]

Answer:

  (d)  (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

  = (4x³ -12x²) +(7x -21)

  = 4x²(x -3) +7(x -3)

  = (4x² +7)(x -3)

__

<em>Additional comment</em>

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

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The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the
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The maximum height of the baseball. Hope this helped :)
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2 years ago
Are two negative integers postive
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Two negatives added or multiplied make a positive.
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