What is the volume of the composite figure? _?_ Cubic inches
2 answers:
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Answer:
The triangle will translate along the arrow and reach the head of the arrow.
Step-by-step explanation:
Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.
In the given figure, the triangle is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.
For more explanation, refer the following link:
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Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Answer:
Null Hypothesis, :
= 136 mm Hg
Alternate Hypothesis, :
136 mm Hg
In this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Step-by-step explanation:
We are given that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article.
He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 126 mm Hg and the standard deviation of the sample to be 18 mm Hg.
So, Null Hypothesis, :
= 136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Alternate Hypothesis, :
136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Type I error states that the null hypothesis is rejected when in fact the null hypothesis was true. So, in this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Suppose the researcher decides not to reject the null hypothesis. It means the researcher is making a type I error.