Step-by-step explanation:
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Answer:
Range 40
Mean 99.4
Step-by-step explanation:
There is a mode since the number 104 shows up twice.
The median is not 100 because it is 102.
The range is 40 because 120 is the largest number and 80 is the smallest number.
So 120 - 80 = 40
The mean is 99.4 because when you add all the numbers up and then divide it by 10 you get 99.4
Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work
<em><u>Answer:</u></em>
Option D
The height of tree is 20 feet tall
<em><u>Solution:</u></em>
From given question,
Shadow of tree = 30 feet
Height of tree = ?
Height of student = 6 feet
Shadow of student = 9 feet
We have to find the height of tree
We can solve the sum by proportion

This forms a proportion and we can solve the sum by cross multiplying

Thus height of tree is 20 feet tall
Answer:
y = 2x + b (the second answer choice)
Step-by-step explanation:
The slope-intercept form is y = mx + b (the m representing slope and the b representing y-intercept). Put the points in ratio form as a fraction and subtract the ratio with the smallest numbers from the ratio with the largest ratio (5/1 - 1/-1) to get 4/2. When simplified, it becomes 2/1, so the slope is 2. Using the slope found previously, subtract 1 from the x of (1, 5) and 2 from the y of (1, 5) to get the y-intercept. The resulting point is (0, 3), so the y-intercept is 3. Replace the m with the found slope (2) and b with the found y-intercept (3) to end up with y = 2x + 3.