Answer:
150 miles
Step-by-step explanation:
375 divided by 7.5 is 50
50 time 3 is 150
The missing values represented by x and y are 8 and 20, that is
(x, y) = (8, 20)
The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight-line graph.
The ordered pairs simply mean for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row, for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
To learn more about the straight line visit:
brainly.com/question/1852598
#SPJ1
Answer:
3.6 since h = 3.6
Step-by-step explanation:
Answer:
1, 5, 8
Step-by-step explanation:
1 is a vertical angle with angle 4, so is congruent.
5 is an alternate interior angle with angle 4, so is congruent.
8 is a corresponding angle with angle 4, so is congruent.
Answer:
Step-by-step explanation:
The data is written wrongly. The correct data is:
42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0
Range = largest value - smallest value
Range = 42 - 15 = 27
n = 10
The mean of the set of data given is
Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59
Standard deviation = √(summation(x - mean)²/n
Variance = Summation(x - mean)²/n =
Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329
Variance = 1088.329/10 = 108.8329
Standard deviation = √variance = √(108.8329 = 10.43
