First, subtract 2x from both sides of the equation to get 8y = -2x - 32. Then, divide the equation by 8, to get y = -x/4 - 4. Your y-intercept will be -4, and it's slope will be -1/4.
Answer:
<h3>20feet</h3>
Step-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
The probabilities of each number are equal. Then statements A and C are correct.
<h3>What is probability?</h3>
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
Pedro has a spinner with 4 sections numbered 1 through 4.
Pedro spins the spinner 100 times and records the results.
He calculates the relative frequency of each outcome.
Outcome 1 2 3 4
Relative Frequency 0.24 0.25 0.26 0.25
A) A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. This statement is correct.
B) The theoretical probability that any one number is chosen is likely 0.20. This is incorrect because every number has an equal probability.
C) It is likely that the spinner is fair. This statement is correct because the probabilities of each number are equal.
D) The relative frequencies in the table are very different. This statement is incorrect. Because numbers 2 and 4 have the same frequency and the number 1 and 3 have slightly different frequencies.
More about the probability link is given below.
brainly.com/question/795909
Answer: 27 and 18
Step-by-step explanation:
x - y = 9 → x = 9 + y
3y = 2x
3y = 2(9 + y)
3y = 18 + 2y
3y - 2y = 18
y = 18
2x = 3(18)
2x = 54
x = 27
x - y = 9
27 - 18 = 9
9 = 9
Answer:
A. Intercepted arc.
Step-by-step explanation:
From Geometry we know that arc (
), dimensionless, is measured by the following equation:
(1)
Where:
- Central angle, measured in radians.
- Radius, dimensionless.
If the circle has a radius of 1. Then, we notice that arc is directly proportional to the central angle. Hence, the right answer is A.
