This histogram is skewed to the left and its distribution's center would be three (3).
<h3>What is a histogram?</h3>
A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:
- This histogram is skewed to the left.
- Its distribution's center would be three (3).
- The spread implies that more students are between 58-59 and 60-61 inches.
- The shape shows that many of the values are at the lower end.
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Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function
Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5
Answer:
x = -13,67
Step-by-step explanation:
-3x - 5 = 36
-3x = 36 + 5
-3x = 41
x = 41/-3
x = -13 2/3
or
x = -13,67
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