GIVEN: There is a $60\%$ chance of rain on Saturday and a $20\%$ chance of rain on Sunday. Assume that the event that it rains on Saturday is independent of the event that it rains on Sunday.

TO FIND: What is the probability that it rains on exactly one day over the weekend.

SOLUTION:

Probability of rain on Saturday $P(A)=0.6$

Probability of not raining on Saturday $P(A^{'}) =1-0.6=0.4$

Probability of rain on Sunday $P(B)=0.2$

Probability of not raining on Saturday $P(B^{'})=1-0.2=0.8$

Probability of raining exactly one day over the weekend

$=\text{Probability it rains only on Saturday}+\text{Probability it rains only on Sunday}$

$=P(A)\times P(B^{'})+P(B)\times P(A^{'})$

$=0.6\times0.8+0.2\times0.4$

$=0.56$

Hence probability of raining exactly only one day over the weekend is $0.56$

5 0

4 years ago

The solution to a system of linear equations is (-3,-3) Which system of linear equations has this point as its solution? x -5y=-

Ann [662]

Answer:

$x-5y=12$ and $3x+2y=-15$

Step-by-step explanation:

The first system is

$x-5y=-12$ and $3x+2y=-15$

We substitute x=-3 and y=-3

$-3-5*-3=12\ne-12$ and $3*-3+2*-3=-15$

Both equations are not satisfied

The next system is

$x-5y=12$ and $3x+2y=-15$

We substitute x=-3 and y=-3

$-3-5*-3=12$ and $3*-3+2*-3=-15\ne15$

Both equations are satisfied

The next system is

$x-5y=-12$ and $3x+2y=15$

We substitute x=-3 and y=-3

$-3-5*-3=12\ne12$ and $3*-3+2*-3=-15$

Both equations are not satisfied

The next system is

$x-5y=12$ and $3x+2y=15$

We substitute x=-3 and y=-3

$-3-5*-3=12\ne-12$ and $3*-3+2*-3=-15$

Both equations are not satisfied

6 0

4 years ago

Which is another name for plane M ?

aksik [14]

Answer: plane xyn

Step-by-step explanation:

8 0

4 years ago