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1 year ago

Which inequality statement best describes the probability of event (P) ?

Mathematics

1 answer:

Black_prince [1.1K]1 year ago

6 0

Answer:

$0\le P\le 1$

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen.

Definition: The probability of an evant is

$P=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}$

1. An event that is certain to happen (Number of favorable outcomes = Number of all possible outcomes) has a probability of 1.

2. An event that cannot possibly happen (Number of favorable outcomes = 0) has a probability of 0.

3. If there is a chance that an event will happen, then its probability is between 0 and 1.

Thus,

$0\le P\le 1$

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1 year ago

Rearrange the formula F = mg + ma for a.

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1 year ago

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Alex has 70% of her weekly paycheck automatically deposited into a savings account

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1 year ago

Which geometric model using algebra tiles represents the factorization of x2 – 5x + 6? An algebra tile configuration. 4 tiles ar

OLEGan [10]

Answer:

Step-by-step explanation:

The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5

The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6

If we add -3 + (-2) ; we have,

-3-2 = -5

Now the factorization of

x² - 5x + 6 = 0 is as follows.

x² - 3x - 2x + 6

By factorization,

x(x - 3) - 2 (x - 3) = 0

(x - 2) or (x-3) = 0

Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.

Hint:

Let represent ,

1 = x² tile

-5 = - x tiles

6 = 1 tiles

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1 year ago

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Use the position function s(t) = −16t² + 400, which gives the height (in feet) of an object that has fallen for t seconds from a

skad [1K]

Answer:

160m/s

Step-by-step explanation:

The object can hit the ground when t = a; meaning that s(a) = s(t) = 0

So, 0 = -16a² + 400

16a² = 400

a² = 25

a = √25

a = 5 (positive 5 only because that's the only physical solution)

The instantaneous velocity is

v(a) = lim(t->a) [s(t) - s(a)]/[t-a)

Where s(t) = -16t² + 400

and s(a) = -16a² + 400

v(a) = Lim(t->a) [-16t² + 400 + 16a² - 400]/(t-a)

v(a) = Lim(t->a) (-16t² + 16a²)/(t-a)

v(a) = lim (t->a) -16(t² - a²)(t-a)

v(a) = -16lim t->a (t²-a²)(t-a)

v(a) = -16lim t->a (t-a)(t+a)/(t-a)

v(a) = -16lim t->a (t+a)

But a = t

So, we have

v(a) = -16lim t->a 2a

v(a) = -32lim t->a (a)

v(a) = -32 * 5

v(a) = -160

Velocity = 160m/s

7 0

1 year ago