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Statistics and probability
To find the area to the right of a positive z-score, begin by reading off the area in the standard normal distribution table. Since the total area under the bell curve is 1, we subtract the area from the table from 1. For example, the area to the left of z = 1.02 is given in the table as .846.
To find the area to the right of a positive z-score, begin by reading off the area in the standard normal distribution table. Since the total area under the bell curve is 1, we subtract the area from the table from 1. For example, the area to the left of z = 1.02 is given in the table as .846.
See lessproblem solving/ratio
Answer: 10:8 or 5:4
Answer:
10:8 or 5:4
See lessgeneral mathematics
It very well may be characterized as every component of Set A has a remarkable component on Set B. To sum things up, let us consider 'f' is a capacity whose space is set A. The capacity is supposed to be injective if for all x and y in A, At whatever point f(x)=f(y), at that point x=y Furthermore, cRead more
It very well may be characterized as every component of Set A has a remarkable component on Set B.
To sum things up, let us consider ‘f’ is a capacity whose space is set A. The capacity is supposed to be injective if for all x and y in A,
At whatever point f(x)=f(y), at that point x=y
Furthermore, comparably, on the off chance that x ≠ y, f(x) ≠ f(y)
Officially, it is expressed as, assuming f(x) = f(y) infers x=y, f is balanced planned, or f is 1-1.
Essentially, if “f” is a capacity which is coordinated, with space An and range B, at that point the reverse of capacity f is given by;
f-1(y) = x ; if and just if f(x) = y
A capacity f : X → Y is supposed to be coordinated (or injective capacity), if the pictures of particular components of X under f are unmistakable, i.e., for each x1 , x2 ∈ X, f(x1 ) = f(x2 ) infers x1 = x2 . Else, it is called numerous to one capacity.
In Maths, an injective capacity or infusion or one-one capacity is a capacity that involves singularity that never maps discrete components of its space to the same component of its codomain. We can say, each component of the codomain is the picture of just a single component of its area.
See lesswhat is the arrangement of things in a definite order or ordered arrangement of objects
A language, English for example, is something that we use to communicate every day. But have you ever wondered what would happen to our understanding of the English language if we change the order of alphabets which form the words? For example, what if ‘flower’ was spelt as ‘flowre’? Would it make sRead more
A language, English for example, is something that we use to communicate every day. But have you ever wondered what would happen to our understanding of the English language if we change the order of alphabets which form the words? For example, what if ‘flower’ was spelt as ‘flowre’? Would it make sense to you? No, right? Thus, words in a language are an example of permutation in daily life. They are actually some specific permutations of a collection of alphabets taken together. In the following section let us learn more about permutations.
See lessAll about geometry
The periphery of a circle is given by the recipe 2πr, where r is the span of the circle. Substitute the given circuit into this recipe and settle for r. 30π= 2πr. Hence, the span of the circle is 15. Utilize this to discover the territory of the circle. The territory of a circle is given by the reciRead more
The periphery of a circle is given by the recipe 2πr, where r is the span of the circle. Substitute the given circuit into this recipe and settle for r.
30π= 2πr.
Hence, the span of the circle is 15. Utilize this to discover the territory of the circle. The territory of a circle is given by the recipe A=πr
2. Substitute the length of the span into this recipe and ascertain the region.
A=π(15)2=225π
See lessBreaking Through Earth Science
Utilizing Characteristics of Minerals to Identify Them Most minerals can be portrayed and ordered by their novel actual properties: hardness, brilliance, shading, streak, explicit gravity, cleavage, break, and relentlessness. Hardness The capacity to oppose being damaged—or hardness—is perhaps the mRead more
Utilizing Characteristics of Minerals to Identify Them
Most minerals can be portrayed and ordered by their novel actual properties: hardness, brilliance, shading, streak, explicit gravity, cleavage, break, and relentlessness.
Hardness
The capacity to oppose being damaged—or hardness—is perhaps the most helpful properties for distinguishing minerals. Hardness is controlled by the capacity of one mineral to scratch another. Federick Mohs, a German mineralogist, delivered a hardness scale (table 5) utilizing a bunch of ten standard minerals. The scale organizes the minerals arranged by expanding hardness. Each higher-numbered (more enthusiastically) mineral will scratch any mineral with a lower number (gentler).
A harsh proportion of mineral hardness can be made by gathering a unit of convenient items (table 6). A fingernail has a hardness going from 2 to 2.5, a penny is somewhat harder than 3, window glass goes from 5.5 to around 6 in hardness, and a blade cutting edge is by and large in the scope of 5 to 6.5.
Hardness Mineral Common field test
1 Talc Easily scratched with a fingernail
2 Gypsum Scratched by a fingernail (2.5)
3 Calcite Scratched by a penny (3)
4 Fluorite Difficult to scratch by a nail (4); scratched effectively by a blade (5)
5 Apatite Difficult to scratch with a blade (>5); scarcely scratches glass (5.5)
6 Feldspar Scratched by a steel document (6.5); effectively scratches glass
7 Quartz Scratches a steel document and glass
8 Topaz Difficult to test in the field
9 Corundum Difficult to test in the field
10 Diamond Difficult to test in the field
See lessIf 3x−y=12, what is the value of 8x/2y?
3x-y=12 8x/2y =23x /2y =23x-y 3x-y=12 =23x-y =212 answer= 212
3x-y=12
8x/2y =23x /2y =23x-y
3x-y=12
=23x-y =212
answer= 212
See lessIonization of water
Calculating [H3O+] and [OH-] in an aqueous solution A research chemist adds a measured amount of HCl gas to pure water at 25 oC and obtains a solution with [H3O+] = 3.0 x 10-4 M. Calculate [OH-]. Is the solution neutral, acidic or basic? solution: Use the Kw at 25 oC and the [H3O+] to find the correRead more
Calculating [H3O+] and [OH-] in an aqueous solution
A research chemist adds a measured amount of HCl gas to pure water at 25 oC and obtains a solution with [H3O+] = 3.0 x 10-4 M. Calculate [OH-]. Is the solution neutral, acidic or basic?
solution:
Use the Kw at 25 oC and the [H3O+] to find the corresponding [OH-].
Kw = 1.0 x 10-14 = [H3O+] [OH-]
[OH-] = Kw/ [H3O+] = 1.0 x 10-14/3.0 x 10-4 = 3.3 x 10-11 M
[H3O+] > [OH-]; the solution is acidic.
See lessProving theorems on the different kinds of parallelogram
There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. 6.EaRead more
There are six important properties of parallelograms to know:
6.Each diagonal of a parallelogram separates it into two congruent triangles.
See lessStandard equation of a circle
The equation of a circle is: (x−h)2+(y−k)2=r2 where (h,k) is the center point and r is the radius Substitute the center point (4,5) into the standard form: (x−4)2+(y−5)2=r2 Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2: (x−4)2+(y−5)2=52
The equation of a circle is:
(x−h)2+(y−k)2=r2
where (h,k) is the center point and r is the radius
Substitute the center point (4,5) into the standard form:
(x−4)2+(y−5)2=r2
Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2:
(x−4)2+(y−5)2=52
See less