Answer:
2x + 3(8 - 3x) = 3
x = 3
y = -1
Step-by-step explanation:
2x + 3y = 3
y = 8 – 3x
2x + 3(8 - 3x) = 3
2x + 24 - 9x = 3
7x = 21
x = 3
y = 8 - 3(3)
y = -1
Answer:
The time a student learns mathematics is important for their score
Step-by-step explanation:
Observe the boxes diagrams. Where the horizontal axis represents the score obtained by the students in the test.
The vertical lines that divide the boxes in two represent the value of the median.
The median is the value that divides 50% of the data.
For the class of the morning the value of the median is 50 points, with a maximum value of 80 and a minimum value of 10.
For the afternoon class, the median value is 65 points with a minimum value of 30 and a maximum value of 100.
This indicates that in general, the highest number of high scores were obtained in the afternoon class.
Therefore it can be said that the time a student learns mathematics is important for their score
The probability of matching three out of five numbers is 153/33649
<h3>How to determine the probability?</h3>
The numbers are given as:
1 to 23
There are five matching numbers
The probability of getting a match is:
p = 5-k/n where k = 0, 1, 2
While the complement probability is
q = (n - 2)/n
Using the above formulas, the probability of getting from 5 is:
P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19
Evaluate the product
P = 153/33649
Hence, the probability of matching three out of five numbers is 153/33649
Read more about probability at:
brainly.com/question/14290572
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Hi there
Annual yield=annual interest÷bond cost
Annual interest=1,000×0.06=60
Bond cost=1,000×0.805=805
So
Annual yield=60÷805=0.0745×100
=7.45%
Good luck!