Suppose f(x)=2x−5. Find the value of f(3)

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that

tekilochka [14]

Answer:

a) P(X∩Y) = 0.2

b) $P_1$ = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability $P_1$ that he must stop at the first signal but not at the second one can be calculated as:

$P_1$ = P(X) - P(X∩Y)

$P_1$ = 0.36 - 0.2 = 0.16

At the same way, the probability $P_2$ that he must stop at the second signal but not at the first one can be calculated as:

$P_2$ = P(Y) - P(X∩Y)

$P_2$ = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

$P = P_1+P_2\\P=0.16+0.31\\P=0.47$

7 0

3 years ago

Can anyone please help me?

Yanka [14]

Answer:

B.

Step-by-step explanation:

Parentheses mean multiplication in this case. So it would be 2 x -3 OR -3 + -3. When multiplying a negative and a positive the answer will ALWAYS be negative. So you would move to the left on a number line.

7 0

2 years ago

44cm is rounded to the nearest whole cm. whats the minimum length it could have been

baherus [9]

43.5 because if it were anything below that it would've been rounded down to 43 instead of up to 44.

4 0

3 years ago

Determine the possible rational zeros of this polynomial function using the rational zeros theorem:

sleet_krkn [62]

Answer:

See answer below

Step-by-step explanation:

The possible zeroes are p/q where p is factors of the constant and q is factors of the coefficient of the largest degree.

This means possible zeroes are ±15/4, ±5/4, ±3/4, ±1/4, ±15/2, ±5/2, ±3/2, ±1/2, ±15, ±5, ±3, ±1.

3 0

3 years ago

What is the answer of this question

zvonat [6]

The right answer is x^2-1.

EXPLANATION:

To be a polynomial, the power of each term must be a whole number.

Hope it will be helpful to you...

Good luck on your assignment

~pragya

6 0

3 years ago