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Artemon [7]
3 years ago
8

I need help on number 1.

Mathematics
1 answer:
GaryK [48]3 years ago
7 0
I think about 7 1/4 I hope I helped You!!
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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
Use Midpoint and Slope Formulas to complete the tables below.1. Find the midpoint of RP, given the coordinates R (5, 8) and P (3
poizon [28]

The midpoint formula for a segment is:

x_m,y_{_m}=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}

apply to points R and P

\begin{gathered} x_m,y_m=\frac{(5+3)}{2},\frac{(8+6)}{2} \\ x_m,y_m=\frac{8}{2},\frac{14}{2} \\ x_m,y_m=(4,7) \end{gathered}

using the definition of slope find the slope of the segment

m=\frac{y_2-y_1}{x_2-x_1}

apply to points R and P

\begin{gathered} m=\frac{8-6}{5-3} \\ m=\frac{2}{2} \\ m=1 \end{gathered}

to lines are parallel when the slopes are the same

\mleft\Vert m=1\mright?

two lines are perpendicular when the product of the slopes is equal to -1

\begin{gathered} m\cdot\perp m=-1 \\ 1\cdot\perp m=-1 \\ \perp m=-\frac{1}{1} \\ \perp m=-1 \end{gathered}

7 0
1 year ago
1. The chairman of the community bazaar is assigning people to chair committees. How many different
pickupchik [31]

Answer:

720

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
4. 4csc^2x+3cscx-1=0
sdas [7]

Answer: 8cxs^c= -3 csc (x) +1

Step-by-step explanation:

To solve for c you need to simplify both sides of the equation, then isolating the variable

8 0
3 years ago
Read 2 more answers
Who earns more per hour, and what is his or her pay rate?
barxatty [35]
It would be B because 34.50 divided by 3=11.50 which is more than Amina

Hope this helps

Have a great day/night
3 0
2 years ago
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