What are two equivalent fractions for 1/2
2 answers:
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Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope
- b is the y-intercept
The rule of the slope of a line is m = , where
- (x1, y1) and (x2, y2) are two points lie on the line
Let us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m =
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
Answer:
a) Attachment
b) 6 to 14.8 in
c) 2.5%
Step-by-step explanation:
Given:
- The mean is u = 10.4 in
- The standard deviation s.d = 4.4
- Sample size n = 28
Find:
- Choose the correct Normal model for tree diameters. A. B. C.
- What size would you expect the central 68% of all tree diameters to be?Using the 68-95-99.7 rule, the central 68% of the tree diameters are between ____ inches and _____ inches.
- About what percent of the trees should have diameters below 1.6 inches?
Solution:
- The central 68% lies within two s.d from mean.
10.4 + 1*4.4 = 14.8
10.4 - 1*4.4 = 6
Hence, the central 68% are between 6 and 14.8 inches.
- The central 95% lies within two s.d from mean.
10.4 + 2*4.4 = 19.2
10.4 - 2*4.4 = 1.6
- The central 95% are between 1.6 and 19.2 inches.
- Hence, P ( X < 1.6) = (1 - 0.95)/2 = 0.025 or 2.5%
