3 years ago

Select two periods from the graph. Then calculate the rate of change (ratio of rise over run).

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

Where's the graph????

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Factor completely 3x^2 +2x +1

Anvisha [2.4K]

It cannot be factored, so it is prime.

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3 years ago

The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(

k0ka [10]

We're given the following probabilities:

$P(A_1)=0.30$

$P(A_2)=0.55$

$P(A_1\cap A_2)=0$

$P(B\mid A_1)=0.20$

$P(B\mid A_2)=0.05$

(a) Yes, $A_1$ and $A_2$ are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

$P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06$

$P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275$

$P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875$

(d) Bayes' theorem says

$P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686$

$P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314$

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3 years ago

-3 is which type of number? Select all that apply.

alexgriva [62]

It is an integer and a rational number

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3 years ago

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Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

$a_n = a_1 + (n - 1)d$

Here, $a_1 = -1$

$a_{75} = -1 + (75 - 1)(16)$

$a_{75} = 1183$

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2 years ago

Erin found 9 cents<br> each day for 7 days.<br> How much money did<br> she find in all?

kherson [118]

After 7 days she would have eventually found 63 cents.

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3 years ago

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