The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
What does the probability rule for products mean?This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.
How do you calculate a product's probability?P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
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What is the equation of the Y axis?
Answer:
x=0
Step-by-step explanation:
The general form of the equation of y-axis is x = 0. hence, the equation of line parallel to the y-axis is given by the equation: x = k.
The function f is defined by f(x) = mx + b, where m and b are constants. If f(0) = 18 and f(1) = 20, what is the
value of m?
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.
What are 3 examples of a constant?A few more constant examples are :
The number of days in a week represents a constant.
In the expression 5x + 10, the constant term is 10.In 2a, 2 is a constant.In -7mn, -7 is a constant.In 3x, 3 is constant.A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.There are four major constants that appear within mathematical calculations. These math constants are used in a whole variety of equations and formulae and are repeatedly seen in a variety of areas.The easiest way we can find a constant term in math is to look first for stand-alone numbers, and then for coefficients and variables that can be solved for. A variable cannot be solved for and return only one value if it has an exponent, such as x^2.A function is called no constant if it takes more than one value (if there is more than one element in its range).Substitute:
m*o+b=18
m+b=20
Apply Zero Property of Multiplication:
b=18
m+b=20
Substitute into one of the equations:m+18=20
Rearrange unknown terms to the left side of the equation:m=20-18
Calculate the sum or difference:m=2
The solution of the system is:
b=18
m=2
The answer is b=18 m=2
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F(1)=120,f(n)=f(n-1)+_n>_2
The value of next two terms are,
⇒ 0 and - 60
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The values are,
⇒ f (1) = 120,
⇒ f (2) = 60
And, The function is,
⇒ f (n) = f (n - 1) + ___
For n ≥ 2
Now,
Since, The values are,
⇒ f (1) = 120,
⇒ f (2) = 60
And, The recursive formula is,
⇒ f (n) = f (n - 1) + b
For n ≥ 2
Substitute n = 2;
⇒ f (2) = f (2 - 1) + b
⇒ 60 = f (1) + b
⇒ 60 = 120 + b
⇒ b = 60 - 120
⇒ b = - 60
So, The recursive formula is,
⇒ f (n) = f (n - 1) - 60
Substitute n = 3;
⇒ f (3) = f (3 - 1) - 60
⇒ f (3) = f (2) - 60
⇒ f (3) = 60 - 60
⇒ f (3) = 0
Substitute n = 4;
⇒ f (4) = f (4 - 1) - 60
⇒ f (4) = f (3) - 60
⇒ f (4) = 0 - 60
⇒ f (4) = - 60
Thus, The next two term are 0 and - 60.
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Mav is making pizzas for a pizza party. Each pizza requires 4/5 pound of cheese. How many pounds of cheese does she need to make 5 pizzas? Express your answer in simplest form.
Answer:
4 pounds of cheese
Step-by-step explanation:
4/5*5=4
As long as the slope of the objectivefunction stays between the slopes of the binding constraints...
A: the optimal corner point wont change
B: the value of the objective function wont change
C: there will be alternative optimal solutions
D: there will be no slack in the solution
The correct answer is option A: the optimal corner point won't change.
The optimal corner point is the point where the objective function reaches its maximum value, with the constraints of the problem being satisfied. If the slope of the objective function stays between the slopes of the binding constraints, it means that the current optimal corner point will remain unchanged.
This is because if the objective function's slope is within the slopes of the binding constraints, then the set of points where the objective function reaches its maximum value will be the same. Therefore, the optimal corner point will not change.
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Freda bought a sandwich for $4. 00 and a drink for94$. Her grandson ordered a meal for$6. 35. What was the total price of all three items when 8% sales tax was added?Explain how touse estimation to check whether your answer is reasonable
The answer is $112.70 The Question is a simple Sales tax rate calculating problem.
How do you solve sales tax problems?Multiplying the purchase price by the sales tax rate will provide the sales tax. Don't forget to round the sales tax rate from percent to decimal. The price of the purchase is increased after the sales tax has been calculated. The entire cost is what the client pays as a result.
Sales tax rate = Sales tax percent / 100.
Sales tax = List price x Sales tax rate.
Given,
Rate of sandwich is = $4. 00
Rate of drink is = 94$
The rate of a meal that Her grandson ordered is =$6. 35.
What was the total price of all three items when 8% sales tax was added?
Total price of all three items without tax = 4 + 94 + 6.35
= $104.35
Total price of all three items with tax = (100% + tax) * Price
= (100% + 8%) * 104.35 = 108% * 104.35
= 1.08 * 104.35 = 112.698
≅ $112.70
The estimation to check if the result is reasonable by putting the answer in the original equation.
E.g. x + 4 = 10; x = 10 - 4
We get that x = 6
Plug in x = 6 in x + 4 = 10.
6 + 4 = 10.
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Use synthetic division to find all the real zeros of the polynomial.
f(x) = x³ + x² - 8x - 6
so hmmm we look at hmm x³ + x² - 8x - 6 so how do squeak out a factor out of it, well, using the rational root test and using our p/q checking for factors, we find that likely factors can be ± 6/1 and ±(3, 2, 1) / 1, anyhow so we check some of those and hopefully without boring you to death we find that -3 works, we can always use the remainder theorem to check if that's true, by simply plugin in f(-3) and if it's indeed a factor, that'd give us 0, well, f(-3) = -27 + 9 +24 +6 = 0, holly smokes!! is a factor.
well, all that jazz means that -3 is a factor, namely the factor is really x = -3 or x + 3 = 0 so the factor is (x+3) and for our synthetic division we'll use the -3 version, Check the picture below.
so we end up with the factors of (x+3)(x²-2x-2), now for the 2nd factor what we can do to break it up is use the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-2}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]x= \cfrac{ - (-2) \pm \sqrt { (-2)^2 -4(1)(-2)}}{2(1)} \implies x = \cfrac{ 2 \pm \sqrt { 4 +8}}{ 2 } \\\\\\ x= \cfrac{ 2 \pm \sqrt { 12 }}{ 2 }\implies x=\cfrac{2\pm\sqrt{2^2\cdot 3}}{2}\implies x=\cfrac{2\pm 2\sqrt{3}}{2}\implies x=1\pm\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} (x+3)(x-1+\sqrt{3})(x-1-\sqrt{3}) \end{array}}~\hfill[/tex]
now, just to clarify, all those are real roots, and the last two come from simply setting x = 1 ± √3 to 0 to get the factors.
What is the answer to g=6x for x
Answer:
The answer is x=g/6
Step-by-step explanation:
When solving an equation like this, you want to move x over to the left of =, which leaves g, and 6. now always remeber that the next variable, g for instance, will be the one divided by the factor, 6
Negative Vectors: Mastery Test
2
Type the correct answer in each box. Round your answers to two decimal places.
Subtract vector va <2,-3> from vector u <5,2>
The magnitude of the resulting vector, u - v, is approximately
and its angle of direction is approximately
Reset
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32(43x−23) is equivalent to
Answer:
1376x-736
Step-by-step explanation:
Take 32 and multiply it by 43. By multiplying vertically, distribute the multiplication of 3 (from 43) times both the 2 and 3 of 32 (right to left)
3 x 2=6; 3 x 3=9:
32
x
43
--------
96
Then, distribute the multiplication of 4 (from 43) times both the 2 and 3 of 32 (right to left) and leave a zero under the last number of your previous answer while moving the distribution of numbers forward.
4 x 2=8; 4 x 3=12
32
x
43
--------
96
+
1280 <----(this is the zero you must leave under your previous set)
After distributing each number of 43 to each number of 32 while multiplying, add your answers together vertically from right to left and bring down the x:
96
+
1280
----------
1376x
Now do the same for 32 x -23 after learning vertical multiplication to get -736
Your final answer put together is 1376x-736
Boxplots are NOT recommended for use with which of the following types of? distributions?
Choose the correct answer below.
a. Symmetric
b. Unimodal
c. Skewed
d. Bimodal or any multimodal distribution
Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
Which distributions are unimodal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the centre of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
There is just one peak in a unimodal distribution, two peaks in a bimodal distribution, and three or more peaks in a multimodal distribution. If the data is skewed or symmetric, such information can also be used to characterise the histogram's structure.
Therefore, the correct answer is option b) Unimodal.
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The required correct option for the given question is uni-modal.
Which distributions are uni-modal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the center of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bi-modality or any multi-modality, box-plots are best reserved for distributions with a single mode.
There is just one peak in a uni-modal distribution, two peaks in a bimodal distribution, and three or more peaks in a multi-modal distribution. If the data is skewed or symmetric, such information can also be used to characterize the histogram's structure.
Therefore, the correct answer is option b) Uni-modal.
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Type the correct answer in each box.
Compete the statement about these similar cylinders.
The circumference of the base of figure 2 is____ pi inches, and the area of the base of figure 2 is____ pi square inches
(Hint: The circumference of a circle = 2nt and the area of a circle = 12, where r is the radius)
The circumference of the base of figure 2 is 5π inches, and the area of the base of figure 2 is 6.25π square inches
You can presume that the cylinders are proportionate because they are comparable.
9/5 = 4.5/x would be the equation to be used for the calculation.
The radius of 2.5 is obtained by dividing and multiplying by crosses.
Figure 1's circumference will be:
Circumference = 2 * 2.5 = 5π
The area for figure 2 is as follows:
Area = (2.5)² = 2.5 * 2.5 = 6.25π
As a result, the base of figure 1 has a 5π inches circumference.
The base of figure 2 has a 6.25π square inch area.
The base of figure 1 has a 5π inch circumference.
The base of figure 2 has a 6.25π square inch area.
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Translate the triangle.
The enter the new coordinates.
A (-2,4)
C
(-3,2)
B
(1,1)
<-4, -1 >
A'(-6, [?])
B'([ ], [ ])
C'([], [])
Therefore , the solution of the given problem of triangle comes out to be A'(1, 0) (1, 0) , B'(1, 2) (1, 2) and C'(3,-2) (3,-2).
Explain the triangle.The fact that a triangle has four segments or vertices qualifies it as a polygon. It is an elementary geometric form. The name given to a triangle with endpoints A, B, then C is Triangle ABC. A singular plane and square are obtained in Euclidean geometry when the edges are not collinear. Any triangle that has three sides and three corners is a polygon. The triangle's corners are the spots at which its three sides intersect. 180 degrees is the result of three triangle angles.
Here,
The image A'B'C' is formed by our transformation rule, (+3,y-2)
So:
1. Describe the updated coordinates for points A', B', and C'?
In order to locate these new positions, we have:
A' (-23, 2-2) => A'(1, 0) (1, 0)
B' => (-23, 4-2) => B'(1, 2) (1, 2)
C'=> (0+3,0-2) => C'(3,-2) (3,-2)
2. Explain the qualities that would emerge if the respective vertices were linked together by lines.
We can notice the two triangles on the First Figure if we look closely. The green one is A'B'C, while the red one would be the triangle ABC.
The equivalent vertices with in second figure have been joined together by line segments, as shown by the green lines.
Two things can be said about those three lines: first, they are parallel, and second, they are all the same length.
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What are the 7 degree of polynomial?
The degree of a constant polynomial (such as 7) is zero.
The variable's highest power in a polynomial expression is the polynomial's degree.
A polynomial is a mathematical expression made up of more than two algebraic terms, particularly the sum (or difference) of several terms that each contain a different power of a single or several variables (s).
It is a monomial combination that is linear. Since the polynomial can be conceived of as 7x0, the degree of a constant polynomial (such as 7) is zero.
Normally, the degree of the zero polynomial (zero) is regarded as being undefinable.
A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial).
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In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell all three fruits each of the 100 traders sell at least one of the three fruits. (A) how many traders sell only one fruit. (B) how many traders sell only two fruits.
a) The number of traders who sell only one fruit is given as follows: 88.
b) The number of traders who sell only two fruits is given as follows: 9.
How to obtain the amounts?The amounts are obtained using Venn sets in the context of this problem.
The sets are given as follows:
Set A: sells apples.Set B: sells oranges.Set C: sells mangoes.10 sell all three fruits, hence:
A ∩ B ∩ C = 10.
15 vendors sell apples and mangoes, hence:
(A ∩ C) + (A ∩ B ∩ C) = 15
(A ∩ C) = 5.
14 vendors sell apples and oranges, hence:
(A ∩ B) + (A ∩ B ∩ C) = 14
(A ∩ B) = 4.
Hence the number who sell two of them is of:
(A ∩ B) + (A ∩ C) = 4 + 5 = 9.
50 vendors sell mangoes, hence:
C + (A ∩ C) + (A ∩ B ∩ C) = 50
C = 35.
46 vendors sell oranges, hence:
B + (A ∩ B) + (A ∩ B ∩ C) = 46
B = 32.
40 vendors sell apples, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.
A + 9 + 10 = 40
A = 21.
Hence the number of vendors who sell only one fruit is given as follows:
A + B + C = 21 + 32 + 35 = 88.
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Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation. Identify Ericka’s mistake.
Ericka’s mistake is in ''Step 2.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.
Now,
Since, Ericka was solving an exponential equation.
Clearly, The equation is,
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
Step 1;
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾
Step 2;
⇒ 9x + 6 = 2 (3x - 24)
So, Ericka’s mistake is in Step 2.
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Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7). Which statements are true about the parallelograms?
Which statements are true about the parallelograms? Check all that apply.
The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is 2/5
Parallelogram M'N'P'Q' is larger than parallelogram MNPQ because MN and M'N' have lengths of 2 and 5 respectively, and parallelogram MNPQ is dilated by a factor of 5/2 to give parallelogram M'N'P'Q'.
What is parallelograms?A parallelogram is a straightforward quadrilateral in Euclidean geometry that has two sets of parallel sides. In a particular kind of quadrilateral known as a parallelogram, both sets of opposite sides are parallel and equal. There are four different kinds of parallelograms, including three unique kinds. Parallelograms, squares, rectangles, and rhombuses are the four different shapes. Having two sets of parallel sides makes a quadrilateral a parallelogram. In a parallelogram, the opposing sides and angles are both the same length. On the same side of the horizontal line, the interior angles are additional angles as well. 360 degrees is the total number of interior angles.
To make parallelogram M'N'P'Q, parallelogram MNPQ was enlarged.
Points include M(2, 2), N(4, 2), P(3, 3), and Q. (1,-3)
M'(5, 5), N'(10, 5), P'(8, 7), and Q' (3,-7)
A) First, determine Minnesota's length:
|MN| = 2
|M'N'| = 4
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Given the lengths of two sides of a triangle, determine the range, a, of possible side lengths of the third side.
5 km and 11 km
12 mi and 12 mi
25 yd and 10 yd
By using the triangular inequality, we will get the possible lengths:
a) 6km < x < 16km
b) 0mi < x < 24mi
c) 15yd < x < 30yd
How to estimate the lengths of the possible third side?If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:
A + C > D
A + D > C
C + D > a
Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:
x + 5km > 11km
x + 11km > 5km
11 km + 5 km > x
From these inequalities we can get:
16km > x
x > 11km - 5km
x > 6km
Then the possible lengths of the third side are:
6km < x < 16km
b) Now the sides are 12 mi and 12mi, then the inequalities are:
x + 12mi > 12mi
12mi + 12mi > x
The first one gives:
x > 0mi
The second:
24mi > x
The possible lenghts are 0mi < x < 24mi
c) 25 yd and 10 yd
Here we will get:
25yd + 10yd > x ----- > 30yd > x
x + 10 yd > 25yd -------> x > 15yd
The possible lengths are:
15yd < x < 30yd
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What does it mean if the question asks "translate triangle ABC with the vector of <-5, 2>
To translate a triangle with vector (-5/2), you need to subtract 5/2 from the x-coordinate and add 2 to the y-coordinate of each vertex of the triangle. This will move the triangle 5 units to the right and 2 units up.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
To translate a triangle with a vector, you can use the vector to adjust the coordinates of the triangle's vertices.
For example, if the triangle has vertices at (x1, y1), (x2, y2), and (x3, y3), you can translate it by the vector (-5/2) by subtracting 5/2 to the x-coordinates of the vertices. The new coordinates of the translated triangle would be (x1-5/2, y1), (x2-5/2, y2), and (x3-5/2, y3).
This will move the triangle 5/2 units to the left along the x-axis.
It is important to note that the translation vector you provided only has one component, which is -5/2. Since the vector only has x component, the translation will only occur along the x-axis and the y-coordinate of the vertices will not change.
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Regular hexagon $ABCDEF$ is the base of right pyramid $\allowbreak PABCDEF$. If $PAD$ is an equilateral triangle with side length 8, then what is the volume of the pyramid
The volume of the pyramid as calculated from the data given is found to be as 21.33 cubic units .
The distance from a corner to the center is 8 , and from the corner to the top of the pyramid is 8, because it is given that the tringles are equilateral.
so the height becomes,
√3a/2 = 4√3
The area of the hexagon is calculated using the formula ,
=3√3/2 x a²
=3√3/2 x 64
= 963√3
=332.553 square units.
Volume of a pyramid is calculated as ,
1/3 x base x height
= 1/ 3 x 8 x 8
= 1/3 x 64
=21.33 cubic units answer.
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Wilbur left school and drove toward the town hall at an average speed of 30 mph. Jack left sometime later driving in the same direction at an average speed of 75 mph. After driving for two hours Jack caught up with Wilbur. How long did Wilbur drive before Jack caught up.
Wilbur drove for 5 hours before Jack caught up with him.
How to calculate the distance?Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))
We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.
So we can write:
distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)
We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:
distance = 30 mph x (time) = 75 mph x 2 hours
Then we can solve for time by dividing both sides of the equation by 30:
time:
= (75 mph x 2 hours) / 30 mph
= 5 hours
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What is the slope of a logarithmic graph?
The slope of a logarithmic graph depends on the type of logarithm used.
For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.
For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.
For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.
It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.
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Solve the equation 1/6(3x − 6) = 1/8(4x + 8). Which statement is true?
Answer:
Step-by-step explanation: first we have to solve the bracket both side of equal to.
1/6(3x-6)=1/8(4x+)
x/2-1 = x/2+1
-2
If θ is an angle in standard position and its terminal side passes through the point (12,-5), find the exact value of \sec\thetasecθ in simplest radical form.
The exact value of secθ in simplest radical for is 1.083
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are Given θ is an angle in standard position.
Its terminal side passes through the point (12, -5).
To find the exact value of secθ in simplest radical form.
When θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:
So, we have x = 12 and y = -5 which is in the first quadrant.
Therefore,
r² = x² + y²
r² = ( 12 )² + ( -5 )²
r² = 144 + 25
r² = 169
r = 13
Then,
sec θ = 1/cosθ
sec θ = [ 1/(x/r) ]
sec θ = r/x
sec θ = 13/12
sec θ = 1.083
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What are the 4 types of symbols?
Answer:
+ - × ÷
Step-by-step explanation:
addition, subtraction, multiplication and division
18 points ! The shape of Gretchen's data can be described as 1) skewed left 2) skewed right 3) symmetrical.
Because of this, the 1) mean 2) median would be the best measure of center for this data set. The actual value for the best measure of center is 1) 7, 2) 9, 3) 9. 1, 4) 9. 6
The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.
What is skewed left?A distribution that is left-skewing has a lengthy left tail.
Distributions that are negatively skewed are also known as left-skewed distributions.
This is due to the number line having a significant negative tail.
Additionally, the peak is to the left of the mean.
The right tail of a right-skewed distribution is lengthy.
It's a widespread misperception that "peakness" is defined by the distribution's peak.
To put it another way, a peak that leans left indicates a left-skewed distribution.
Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.
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If the area of Square 3 is 80cm and the area of square 2 is 100cm, what is the area of square1
The area of square 1 is 180 sq cm
What is the area of square?The area of a square is calculated with the help of the formula: Area = s × s, where, 's' is one side of the square. Since the area of a square is a two-dimensional quantity, it is always expressed in square units
Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).
Area of square 1 = Area of square 2 + Area of square 3
Area of square 1 = 100 + 80
Area of square 1 = 180cm^2
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How do you draw a logarithmic graph?
Choose the range of values for the x-axis and the y-axis , Plot the points on the graph, using the logarithmic formula , Connect the points with a smooth curve and Label the axes and add any other details you want to include.
1. Choose the range of values for the x-axis and the y-axis. Select the minimum and maximum values for both the x-axis and the y-axis.
2. Plot the points on the graph, using the logarithmic formula. Use the formula log(x) = y to calculate the points that should be plotted on the graph. For example, if the x-axis range is from 1 to 10, and the y-axis range is from 0 to 10, then the first point would be (1,0).
3. Connect the points with a smooth curve. Once all the points have been plotted, use a ruler or a graphing calculator to connect them with a smooth curve.
4. Label the axes and add any other details you want to include. Use a ruler or a graphing calculator to label the axes and add any other details you want to include, such as a title, a legend, or a grid.
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Find the x-intercept and y-intercept
from the following linear equation:
X + 4y = -56
x - intercept ()
y - intercept ()
Answer:
x-intercept: (-56, 0)
y-intercept: (0, -14)
Step-by-step explanation:
The x-intercept is the point at which the line crosses the x-axis, so when y=0. To find the x-intercept, substitute y=0 into the given equation:
[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]
Therefore, the x-intercept of the given linear equation is:
(-56, 0)The y-intercept is the point at which the line crosses the y-axis, so when x=0. To find the y-intercept, substitute x=0 into the given equation:
[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]
Therefore, the y-intercept of the given linear equation is:
(0, -14)