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m_a_m_a [10]
3 years ago
8

Let f(x) = -7x + 9. Suppose you add 2 to the input off to create a

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer: slope 5 intercept 9

Step-by-step explanation: I took the test

gavmur [86]3 years ago
7 0

Answer:

Slope - 21 Intercept - 15

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The local deli charges a fee for delivery. On monday, they delivered two dozen bagels to an office at a local cost of $8. On Tue
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Answer:

  • 2b+f=8; 3b+f=11
  • b=3, f=2

Step-by-step explanation:

The problem statement defines the variables and gives the relations ...

  2b + f = 8 . . . . total cost on Monday

  3b + f = 11 . . . . total cost on Tuesday

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Subtracting the first equation from the second, we get ...

  (3b +f) -(2b +f) = 11 -8

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Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? P (k successes) = Subscript
Nimfa-mama [501]

The expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

<h2>Given</h2>

Aron flips a penny 9 times.

We have to determine

Which expression represents the probability of getting exactly 3 heads?

<h3>What is binomial distribution?</h3>

The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.

The binomial probability formula shown has variables which represent:

\rm= ^nCr \times p^r\times (1-p)^{n-r}

Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).

r is the number we want to find (here, we want the probability of 3 heads, so r = 3).

p is the probability of success (here, success means getting heads.

So, in a coin flip the probability of heads is always 1/2, so p = 1/2).

Therefore,

The expression represents the probability of getting exactly 3 heads is;

\rm= ^nCr \times p^r\times (1-p)^{n-r}\\\\\rm= ^9C3 \times (0.5)^3\times (1-0.5)^{9-3}\\\\= ^9C3 \times (0.5)^3\times (0.5)^{6}

Hence, the expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

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