Consider the system of equations. y = 3x + 2 y = − 2 3 x − 4 Explain why these particular equations can be graphed immediately.

Answer:

40%

Step-by-step explanation:

According to the provided information:

The likelihood of rain on Saturday stands at 25%.

P(Sunday)=25%=0.25

If it rains on Saturday, the probability of rain on Sunday rises to 50%.

P(Sunday|Saturday)=50%=0.5

If it does not rain on Saturday, the chance of Sunday rain is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We aim to find the probability of rain on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes' theorem for conditional probabilities:

P(Saturday|Sunday)=

=

=0.4

Thus, there is a 40% likelihood that it rained on Saturday given the conditions on Sunday.

The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.

Answer: $3

Step-by-step explanation: I confirmed the diagnostic, and it was accurate

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is

Relative velocity of Plane A is since Plane A is heading against the wind

Relative velocity of Plane B is

Plane A departs at noon

Distance covered by Plane A in 1 hour

The total separation distance between the planes is

Assuming they meet after t hours

Distance covered by Plane B in that time frame

Distance traveled by Plane A in t hours is

The total distance equals 4550 miles

Distance traveled by B is

thus, they meet at a point 2688.63 miles away from Los Angeles.

Approximately 2, I believe... I calculated it to be around 2.10.