Answer: y = 1/2 x 7
Step-by-step explanation:
Get the apparent line that generally passes through the mean values of the values represented in the scatter plot. Find the Slope.
The easiest way is to the difference between the highest and lowest y-values (or the average of two of the highest and lowest) So around about 17.5 - 8.5 = 9 Divide by the difference in x-values 18- 1 = 17 9/17 ≈ .53 Round to .5 ≈1/2
Of the choices given, only the last one has the correct slope. If you were to graph this line, passing through the apparent mean of the values (about half the points above and half below the line) it would intersect the y-axis at about y=7
A slope also known as the gradient of a line is a number. The correct option is A, C, and D.
<h3>What is Slope?</h3>
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
For the given question,
- The temperature increased until 4:00 p.m.
This can be observed in the graph, as the slope of the graph before 4 pm is positive, it can be concluded that the temperature is increased until 4 pm.
- The temperature decreased after 6:00 p.m.
This can be observed in the graph, as the slope of the graph after 4 pm is negative, it can be concluded that the temperature is decreasing after 4 pm.
- The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.
This can be probed by calculating the slope of the line between the two points. Therefore, the slope between 8 am to 12 pm will be 1, while the slope from 12 pm to 4 pm will be equal to 4/3.
Hence, the correct option is A, C, and D.
Learn more about Slope of Line:
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Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Step-by-step explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16
Answer:
Therefore in this problem 7 is the larger length and should be the hypotenuse, and 5 and 6 should be the lengths of the other two sides. Calculating: √( 52+62) = √(25+36) = √61=7.82 ≠ 7 , Therefore this is not a right angle triangle based on the Pythagorean theorem. If statement is true, then it is a right triangle.
Step-by-step explanation:
62 degrees is the answer 90-28 =62
