Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = = , hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = + c ⇒ c = 7 - =
y = x + ← equation in slope-intercept form
Parker: 29
Hadley: ?
Answer:
Here 'x' represents the distance between Hadley and Greenville and 'y' represents the distance between Parker and Greenville.
The distance between Hadley and Greenville =42 miles
Step-by-step explanation:
Let the distance between Hadley and Greenville be x and the distance between Parker and Greenville be y.
Then according to the question,
If the distance between Parker and Greenville = 29 miles
Then substitute the value of y=29 in the above equation, we get
⇒ The distance between Hadley and Greenville =42 miles
Answer:
The value of x is 6
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
m∠C+m∠E=180°
we have
m∠C=112°
m∠E=(3x+50)°
substitute and solve for x
112°+(3x+50)°=180°
3x+162=180
3x=180-162
3x=18
x=6
0.8
5
0.569
The theoretical probability of winning a medium prize at the duck pond is 0.2, Hence option A is correct.
What is probability?
Probability is the ratio of number of favorable outcomes and total number of outcomes. it deals with finding out the likelihood of the occurrence of an event.
According to the given information,
Number of medium-prize winning ducks = 13
The total number of ducks = 65
The theoretical probability of winning a medium prize at the duck pond can be found by dividing the number of medium-prize winning ducks (13) by the total number of ducks (65).
So, the probability of winning a medium prize is,
= 13/65
= 0.2 or 20%
Therefore, the theoretical probability of winning a medium prize at the duck pond is 0.2 or 20%.
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Hi there! :) I believe the answer is 0.2. The way I got 0.2 is because there are 13 medium-sized ducks and there are 65 total ducks floating I did 13/65( 13 divided by 65) which equals 0.2. For theoretical probability you divide by the number of outcomes.
Hoped I helped! :D