9514 1404 393
Answer:
1/8
Step-by-step explanation:
The least common multiple of 6, 8, and 3 is 24. That will be the common denominator:
1/6 +5/8 -2/3
= 4/24 +15/24 -16/24
= (4 +15 -16)/24 = 3/24
= 1/8
_____
<em>Alternate solution</em>
You can take advantage of the commutative property of addition and the distributive property to rewrite the problem as ...
5/8 -(2/3 -1/6)
= 5/8 - (4/6 -1/6) . . . . use a common denominator of 6
= 5/8 -3/6
= 5/8 =1/2 . . . . . . . simplify
= 5/8 -4/8 . . . . . . use a common denominator of 8
= 1/8
These are just a few of the things you will learn in 6th grade. You will learn how to write a two- variable equation, how to identify the graph of an equation, graphing two-variable equations. how to interpret a graph and a word problem, and how to write an equation from a graph using a table, two-dimensional figures,Identify and classify polygons, Measure and classify angles,Estimate angle measurements, Classify triangles, Identify trapezoids, Classify quadrilaterals, Graph triangles and quadrilaterals, Find missing angles in triangles, and a lot more subjects. <span><span><span>Find missing angles in quadrilaterals
</span><span>Sums of angles in polygons
</span><span>Lines, line segments, and rays
</span><span>Name angles
</span><span>Complementary and supplementary angles
</span><span>Transversal of parallel lines
</span><span>Find lengths and measures of bisected line segments and angles
</span><span>Parts of a circle
</span><span>Central angles of circles</span></span>Symmetry and transformations
<span><span>Symmetry
</span><span>Reflection, rotation, and translation
</span><span>Translations: graph the image
</span><span>Reflections: graph the image
</span><span>Rotations: graph the image
</span><span>Similar and congruent figures
</span><span>Find side lengths of similar figures</span></span>Three-dimensional figures
<span><span>Identify polyhedra
</span><span>Which figure is being described
</span><span>Nets of three-dimensional figures
</span><span>Front, side, and top view</span></span>Geometric measurement
<span><span>Perimeter
</span><span>Area of rectangles and squares
</span><span>Area of triangles
</span><span>Area of parallelograms and trapezoids
</span><span>Area of quadrilaterals
</span><span>Area of compound figures
</span><span>Area between two rectangles
</span><span>Area between two triangles
</span><span>Rectangles: relationship between perimeter and area
</span><span>compare area and perimeter of two figures
</span><span>Circles: calculate area, circumference, radius, and diameter
</span><span>Circles: word problems
</span><span>Area between two circles
</span><span>Volume of cubes and rectangular prisms
</span><span>Surface area of cubes and rectangular prisms
</span><span>Volume and surface area of triangular prisms
</span><span>Volume and surface area of cylinders
</span><span>Relate volume and surface area
</span><span>Semicircles: calculate area, perimeter, radius, and diameter
</span><span>Quarter circles: calculate area, perimeter, and radius
</span><span>Area of compound figures with triangles, semicircles, and quarter circles</span></span>Data and graphs
<span><span>Interpret pictographs
</span><span>Create pictographs
</span><span>Interpret line plots
</span><span>Create line plots
</span><span>Create and interpret line plots with fractions
</span><span>Create frequency tables
</span><span>Interpret bar graphs
</span><span>Create bar graphs
</span><span>Interpret double bar graphs</span><span>
</span></span><span>
</span></span>
If there is a solution(s) they will be the point(s) of intersection on the graph.
If there are infinite solutions there will be only one line or curve.
If the lines are parallel there is no solution.
Answer:
Step-by-step explanation:
Given that a survey asked, "How many tattoos do you currently have on your body?" Of the 1221 males surveyed, 193 responded that they had at least one tattoo. Of the 1005 females surveyed, 130 responded that they had at least one tattoo.
(two tailed test at 1% significance level)
Difference in proportions = 
Standard error for difference in proportions = 0.0150
Margin of error = 2.58*std error
= 0.0387
99% confidence interval =
Since this confidence interval contains 0 for difference in proporiton we can say that H0 is true.
We are 99% confidence that for samples randomly drawn for large sizes, the males and females have approximately the same proportion.
