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Furkat [3]
3 years ago
14

Which description is correct for the polynomial −5x^2−3x+3 ?

Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0
<span>quadratic trinomial      
The x^2 term makes it quadratic
Since there are 3 terms, that makes it a trinomial</span>
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A game consists of tossing three coins. If all three coins land on heads, then the player wins $75. If all three coins land on t
emmainna [20.7K]

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

7 0
3 years ago
An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during
dybincka [34]
"y = -0.6x + 346" is the one equation among the choices given in the question that <span>represents the depth of the lake, y, based on the number of weeks passed, x. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has helped you.</span>
5 0
3 years ago
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What is the length of the base b?
musickatia [10]

Answer:

5 units

Step-by-step explanation:

The graph helps you measure it

6 0
3 years ago
X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.
Rus_ich [418]
The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8
8 0
3 years ago
The polynomial equation x^3+x^2=-9x-9 has complex roots +/-3i What is the other root? Use a graphing calculator and a system of
Ierofanga [76]
  For this case what you can do is factorize the <span>polynomial equation</span>, which would be left like follows
 x ^ 3 + x ^ 2 + 9x + 9 = 0
 (x + 1) (x ^ 2 + 9) = 0
 Resolving, we have that the missing root is
 x = -1
 Answer
 x=-1
7 0
3 years ago
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