The equation of the line which has a gradient of 3 and passes through the point; (-1, 3) as given in the task content is; y = 3x + 6.
<h3>What is the equation of the line which has a gradient of 3 and passes through (-1, 3)?</h3>
It follows from the task content that the equation of the line which is as described is to be determined.
It follows from the point-slope form equation of a straight line that;
(y - y1) = m (x - x1)
Therefore, in this scenario;
y - 3 = 3 (x - (-1))
y - 3 = 3x + 3
y = 3x + 6
Ultimately, the required equation is; y = 3x + 6.
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To solve by substitution, you need to fill in the value for either x or y. Since y = x + 5, you already have the y value. It's x + 5. Now you need to find x before you can go any further. So let's take 5x + y = 3 and fill x + 5 in for y.
5x + y = 5
5x + x + 5 = 3
Now solve for x.
5x + x + 5 = 3
6x + 5 = 3
6x = 3 - 5
6x = -2
x = -2/6 or -0.33
Now solve x + 5 for y.
y = x + 5
y = -0.33 + 5
y = 4.67
So x = -0.33 and y = 4.67
You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Answer:
<u>There are 18 girls in a group that has 16 boys.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Number of girls in the grade = 81
Number of the boys in the grade = 72
Number of students in the grade = 81 + 72 = 153
2. Let's find the number of girls in a group that has 16 boys.
For getting that number we will use the Rule of three simple, this way:
Number of girls in a group that has 16 boys = (81 * 16)/72
Number of girls in a group that has 16 boys = 1,296 / 72
<u>Number of girls in a group that has 16 boys = 18</u>
<u>There are 18 girls in a group that has 16 boys.</u>
