The level can be attained by light reflections.
What are light reflections?The law of reflection states that objects can either be observed through the light they emit or, more frequently, through the light they reflect. The law of reflection, which states that the angle of incidence and reflection must be equal, is observed by reflected light.The transition known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.n mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflectionlearn more about reflections here:
https://brainly.com/question/18772331
#SPJ4
a store is designing the space for rows of nested shopping carts. each row has a starting that is 4 feet long, followed by the nested carts (so 0 nested carts means there’s just the starting cart). the store measured a row of 13 nested carts to be 23.5 feet long and a row of 18 nested carts to be 31 feet long. each nested cart adds 1.5 feet to the row. if the store design allows for 43 feet for each row, how many total carts fit in a row?
Plot these points on a graph and draw a line connecting them beginning at (0, 4) and ending at (18, 31). The graph is plotted below.
What is meant by Plotting the points?Plotting is the process of putting a point on a coordinate plane using X and Y coordinates. In a nutshell, a plot point is anything that happens to a character, good or bad, that significantly alters their life. So, if a character is fired, thrown out of the house, mugged, or wins the lottery, all of these are significant events that would be included in the outline of a novel. Begin by plotting a point at the origin, which is the center of the graph (the point (0,0)). The x-coordinate will then tell you how many units you need to move left or right, and the y-coordinate will tell you how many units you need to move up or down.Given:
Starting cart denotes that the number of nested carts is zero.
So, let the x axis represent the number of nested carts and the y axis represent the height of the nested carts.
As per question,
When x = 0 , the height is y = 4 ft
When x = 13, the height is y = 2.5 ft
When x = 18, the height is y = 31 ft
So, the points on the graph are (0,4), (13, 23.5) and (18, 31).
Plot these points on a graph and draw a line passing through all these points starting at (0, 4) and ending at (18, 31).
The graph is shown below.
To learn more about Plotting the points, refer to:
https://brainly.com/question/27481419
#SPJ13
Juliana makes a prism 4 inches across and 4 inches wide but only 1 inch tall. She then decides to create
layers equal to her first one. Fill in the chart below, and explain how you know the volume of each new
prism.
Number of
Layers
3
5
7
Volume
Explanation
The volume of prism with 1 layer=16 inch³; The volume of prism with 3 layer=48 inch³;The volume of prism with 5 layer=80 inch³;The volume of prism with 7 layer=112 inch³.
What is volume?The total amount of space an object occupies in three dimensions is indicated by its volume. The term "capacity" describes something's ability to hold, absorb, or receive by an object .
Here,
Since each layer is of 1 inch.
So the volume of first prism,
=4*4*1
=16 inch³
When there is 3 layer, so the height is 3 inch,
=4*4*3
=48 inch³
When there is 5 layer, so the height is 5 inch,
=4*4*5
=80 inch³
When there is 7 layer, so the height is 7 inch,
=4*4*7
=112 inch³
The volume of a prism with one layer is equal to 16 inch³; with three layers, it is 48 inch³; with five layers, it is 80 inch³; and with seven layers, it is 112 inch³.
To know more about volume,
https://brainly.com/question/1578538?referrer=searchResults
#SPJ13
41.153 to the nearest tenth
Answer: 41.2
Step-by-step explanation: The rules of rounding are you round up if the number you're rounding is 5 or higher than five, and you keep the same number if it is 4 or lower. For this problem, the 1 is the digit being rounded, so to round it, look at the number to the right of the 1, which is a 5, which means we would round up.
hope this helps!
please consider brainliest!
c=0.325g+p ,solve for g
Solving for g in the equation g = (c - p)/0.325
What is an equation?An equation is a mathematical expression that show the relationship between two variables.
How to solve for g in the given equation?Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.
To do this, we perform some mathematical operations on it.
So, c = 0.325g + p
Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.
So, c = 0.325g + p
c - p = 0.325g + p - p
c - p = 0.325g
Now to isolate g, we divide both sides of the equation by 0.325. So, we have
c - p = 0.325g
(c - p)/0.325 = 0.325g/0.325
g = (c - p)/0.325
So, we have g = (c - p)/0.325
Learn more about equation here:
https://brainly.com/question/28441305
#SPJ1
regression analysis is a statistical procedure for developing a mathematical equation that describes how . a. none of the answers is correct b. one dependent and one or more independent variables are related c. several independent and several dependent variables are related d. one independent and one or more dependent variables are related
In regression analysis, there is one dependent variable and there can be one or more independent variables among which a relationship has to be established.
Given that;
Regression analysis is a statistical procedure for developing a mathematical equation that describes;
Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression. You must specify a dependent variable that you believe is influenced by one or more independent variables before you can do a regression analysis.
The next step is to create an extensive dataset to work with. A great technique to create this dataset is by sending surveys to your target audiences. Questions covering each of the independent variables in which you are interested should be included in your survey.
Hence, Regression analysis requires establishing a link between one or more independent variables and one dependent variable.
To learn more about Regression analysis click here:
https://brainly.com/question/28168620
#SPJ4
Write a polynomial function with rational coefficients so that P(x) has given roots: -4 and 2i.
P(x) is a polynomial function having rational coefficients that has given roots is: P(x) = x³ + 2x² + 4x + 8.
Define the term roots of polynomial?The values of a variables for which the provided polynomial equals zero are referred to as the roots of a polynomial. If an is the polynomial p(x) root, then p(a) = 0.P(x) has given roots: -4 and 2i.
A radical is always preceded by a pair of plus & minus signs.
As a result, there would be another root -2i.
All of the roots are -4, -2i, + 2i.
As, the number of roots given are 3, thus the polynomial formed ill be cubic.
The roots in terms of the polynomial can be written as-
P(x) = (x - (-2))(x - 2i)(x + 2i)
P(x) = (x + 2)(x - 2i)(x + 2i)
Simplifying,
P(x) = x³ + 2x² + 4x + 8
Thus, P(x) is a polynomial function having rational coefficients that has given roots is P(x) = x³ + 2x² + 4x + 8.
To know more about the roots of polynomial, here
https://brainly.com/question/2833285
#SPJ4
a rectangular garden has a length of x and a y. the garden has its length reduced by 3 feet and its width extended by 2 feet. what is the area of the new garden?
The area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.
What is the rectangle area formula?When calculating a rectangle's area, we multiply the length by the width of the rectangle.
What are examples of the area's practical applications?The area of the floors and walls must be measured before applying carpet or tiles on the floor, painting the walls, or installing cabinets in a space.
Given: A rectangular garden has x and y dimensions. The garden's width is increased by 2 feet while its length is decreased by 3 feet.
New length = x-3
New width = y+2
Area of new garden is given as:
=(length)(width)
= (x-3)(y+2)
Therefore, the area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.
Learn more about rectangular area here:
https://brainly.com/question/25292087
#SPJ4
Write an equation of the parabola in vertex form that has a vertex (-3, 7) and passes through (-4, 8).
y = 4/3 ( x + 3 )² + 7 is equation of the parabola .
In math, what is a parabola?
A right circular cone and a plane perpendicular to one of the cone's elements intersect to form a parabola, also known as an open curve.The shape of Banana is resembling a parabola. A parabola is emerging from the Rainbow. The shape of a parabola is being assumed by parabolic dish antennas. Mirror's concave surface.The h and k of the above vertex form are the coordinates of the vertex. So our function has the following form
y = a ( x- h )² + k
y = a ( x - ( - 3 ))² + 7
8 = a ( -4 - ( -3 ) + 7
8 = a ( 6 )
a = 8/6
a = 4/3
the a value we can write the final vertex form
y = a ( x - ( - 3 ))² + 7
y = 4/3 ( x + 3 )² + 7
Learn more about parabola
brainly.com/question/21685473
#SPJ13
What is the area of â–³mnp? 40 m2 60 m2 68 m2 127.5 m2
The area of MNP triangle is 60 m².
Based on the congruency of triangles, the value of MP and QS will be the same. Hence, the value of side MP will be 8 m.
Now, the formula to calculate right angled triangle is 1/2 × base × height.
Keep the values in formula to find the value of area of triangle MNP.
Area = 1/2 × 8 × 15
Performing multiplication and division on Right Hand Side of the equation to find the area of triangle MNP
Area = 4 × 15
Area = 60 m²
Thus, the area of right angled triangle is 60 m².
Learn more about right angled triangle -
https://brainly.com/question/24323420
#SPJ4
402 students were surveyed about their preferences of sports. 140 students like football, 144 students like baseball, and 42 students like both sports. how many students like exactly one of the two sports? a) 200 b) 140 c) 284 d) 98 e) 102 f) none of the above.
The students that will like exactly one of the two sports out of football and baseball is 200.
What is set theory?These are the fundamental set of set theory formulas. When there are two sets P and Q, the number of elements in one of the sets P or Q is denoted by n(P U Q). The number of elements in both sets P and Q is represented by the expression n(P ⋂Q). n(P U Q) is equal to n(P) + n(Q) - n (P Q).
Here,
F=140
B=144
F∩B=42
F-B=n(F)-n(F∩B)
=140-42
F-B=98
B-F=n(B)-n(F∩B)
=144-42
=102
So, the students that will like exactly one of the two sports,
=102+98
=200
There are 200 students who will only enjoy one of the two sports—football or baseball.
To know more about set,
https://brainly.com/question/28429487?referrer=searchResults
#SPJ4
a car travels 75 miles in the same amount of time that it takes another car, moving 10 mph faster that has traveled 100 miles. what is the number of miles per hour in the speed of the faster car?
The speed of the faster car is 40 miles/hr.
both cars travel for same time , so let that time be 't'
car 1 :
distance travelled = 75 miles
let the speed of the car be = x miles/hr
∴ time (t) = distance / speed
t = 75 / x .............(1)
car 2 :
distance travelled = 100 miles
speed of the car is = x + 10 miles/hr ( already provided )
∴ time ( t) = distance / speed
t = 100/ (x+10) ..............(2)
now as the time for both the cases is same , so we equate eqn (1) and eqn (2) .
∴ 75/x = 100/ (x+10)
3x + 30 = 4x
x = 30
so the speed of the 1st car will be 30 miles / hr
and the speed of the 2nd car ( faster car ) will be x + 10 = 40 miles/hr
learn more about unitary method here :
https://brainly.com/question/23423168
#SPJ4
how large are hamster litters? among 47 golden hamster litters recorded, there were an average of 7.72 baby hamsters, with a standard deviation of 2.5 hamsters per litter.
We are 90% certain that the average number of hamsters per litter is between 7.1077 and 8.3323.
What exactly is a confidence interval?A confidence interval is a range of values that includes a population value with a high degree of certainty. When a population mean falls between an upper and lower interval, it is frequently expressed as a percentage. The confidence level is the long-run proportion of corresponding CIs that contain the parameter's true value. For example, 95% of all intervals computed at the 95% level should contain the true value of the parameter.
Given, n=47
[tex]\bar{x}[/tex]=7.72
s=2.5
c=90%=0.90
To find the t-value, look in the row that starts with degrees of freedom.
df=n-1
df=47-1
df=46>45 and in the column with c=90% in the table
=1.679
Now, the margin of error is then:
E=[tex]t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}=1.679\times \dfrac{2.5}{\sqrt{47}}\approx 0.6123[/tex]
The confidence interval's boundaries are thus:
[tex]\overline{x}-E[/tex]=7.72-0.6123=7.1077
[tex]\overline{x}+E[/tex]=7.72+0.6123= 8.3323
The average number of hamsters per litter is between 7.1077 and 8.3323, and we are 90% certain of this.
To know more about confidence interval, visit:
https://brainly.com/question/24131141
#SPJ4
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The length of the shorter leg is 9 mm.
The length of the longer leg is 12 mm.
The length of the hypotenuse is 15 mm.
Pythagoras theory applies to every right triangle. If
The shorter leg = aThe longer leg = bThe hypotenuse = c[tex]a^2 + b^2 = c^2[/tex]Step-by-step explanation:
Known
Longer leg = shorter leg +3 mmAsked
a?b?c?Answer
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + (a+3)^2 = (a+6)^2[/tex]
[tex]a^2 + a^2 + (2 \times a \times 3) + 3^2 = a^2 + (2 \times a \times 6) + 6^2[/tex]
[tex]2a^2 + 6a + 9 = a^2 + 12a + 36[/tex]
[tex]2a^2 - a^2 + 6a - 12a + 9 - 36 = 0[/tex]
[tex]a^2 - 6a - 27 = 0[/tex]
[tex]a^2 - 9a + 3a - 27 = 0[/tex]
[tex]a \times (a - 9) + 3 \times (a - 9) = 0[/tex]
(a-9) (a+3)=0
a-9=0 or a+3= 0
a=9 or a=-3 (impossible)
Shorter leg
a=9 mm
Longer leg
b = a+3
b = 9+3
b = 12 mm
Hypotenuse
c = a+6
c = 9+6
c = 15 mm
At Sascha's Salad Bar, customers make their own salads and pay by the ounce. Jenny paid $6.16 for a 22-ounce salad. Seth spent $7.28 on a salad. How much did his salad weigh?
The weight of the salad at the cost of $7.28 will be 31.9 ounces.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at Sascha's Salad Bar, customers make their own salads and pay by ounce. Jenny paid $6.16 for a 22-ounce salad. Seth spent $7.28 on a salad.
$6.16 ⇒ 22 ounces
$1 ⇒ 22 / $6.16
$7.28 ⇒ ( 22 x 7.28 ) / $6.16
$7.18 ⇒ 31.9 ounces
Therefore, the weight of the salad at the cost of $7.28 will be 31.9 ounces.
To know more about an expression follow
https://brainly.com/question/14318937
#SPJ1
a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?
The 95% confidence interval for the population proportion of members who vote yes is (0.782, 0.818).
What is Random Sample?A choice that is made at random (purely by chance, with no predictability). They tapes of samples are:
Convenient: Sample taken from a pool that is easily accessible.
Random: Put all the possibilities into a hat, then pull some of them at random. Every kth element is taken in a systematic manner. If you wanted to survey anything on the street, for instance, you may interview every fifth person.
Cluster: The population is divided into groupings, or clusters, and every component of each cluster is surveyed.
Stratified: Additionally stratifies the people into several groupings. But only a small portion of the group is questioned after that.
Now, finding the sample proportion,
[tex]p=\frac{x}{n} \\\\=\frac{1600}{2000}\\\\ =0.8[/tex]
The confidence level is given as,
[tex]C=p\pm[z(\frac{\alpha}{2})\times\sqrt{\frac{p(1-p)}{n} } ][/tex]
The value of [tex]z(\frac{\alpha}{2})[/tex] is 1.96
Putting the values, we get
[tex]C=0.8\pm[1.96\times\sqrt{\frac{0.8(1-0.8)}{2000} } ]\\\\C=0.8\pm[1.96\times\sqrt{\frac{0.8(0.2)}{2000} } ]\\\\C=0.8\pm0.018\\\\C=(0.782,0.818)[/tex]
Therefore, the 95% confidence interval is (0.782,0.818).
To learn more about the Random Samples visit here:
https://brainly.com/question/17831271
#SPJ4
The given question is incomplete. Here is the complete question.
a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?
a) 0.782 to 0.818
b) 0.754 to 0.799
c) 0.690 to 0.713
d) 0.799 to 0.951
rearrange the formula below to make 'a' the new subject:
[tex]c + \frac{1}{2}a^{2}b = d[/tex]
is the bottom answer correct for this question? :
[tex]a = \sqrt{2(\frac{d-c}{b} )}[/tex]
Step-by-step explanation:
c + 1/2 × a²b = d | - c on both sides
1/2 × a²b = d - c | ×2 on both sides
a²b = 2(d - c) | /b on both sides
a² = (2/b) × (d - c) | sqrt on both sides
a = sqrt(2(d - c)/b)
yes, the given answer is correct.
Which criterion can be used to prove ABC and ADC are congruent? select the correct answer
ΔABC and ΔADC are congruent by angle-side-angle (ASA) postulate of triangle congruence.
In this question we have been given a quadrilateral ABCD and diagonal AC.
We need to prove triangle ABC and ADC are congruent.
In ΔABC and ΔADC,
∠BAC ≅ ∠ACD ...........(Given)
AC ≅ AC ...........(Common side)
∠ACB ≅ ∠DAC ..........(Given)
ΔABC ≅ ΔADC ..........(ASA postulate of triangle congruence)
Therefore, ΔABC and ΔADC are congruent by angle-side-angle (ASA) postulate of triangle congruence.
Learn more about ASA postulate here:
https://brainly.com/question/1411515
#SPJ9
a family has 5 natural children and has adopted 2 girls. each natural child has equal probability of being a girl or a boy, independent of the other children. find the pmf of the number of girls out of the 7 children.
PMF probability mass function:
2 - 0.03125, 3 - 0.15625, 4 - 0.3125, 5 -0.3125, 6 - 0.15625, 7 - 0.03125.
Define the term Probability?The probability of such a function is the degree to which an event will occur as a rational number.
A family has 2 adopted girls and 5 biological daughters.
Each naturally occurring child does have an equal chance of being a boy or a girl.
Out of the seven offspring, the probability mass function for girls is as follows:
B should stand for Boy, and G should stand for G.
Consequently, this is the probability mass function:
P(GGBBBBB) = ⁵C₀ x (0.5)⁰ x (0.5)⁵
= 0.03125
P(GGGBBBB) = ⁵C₁ x (0.5)¹ x (0.5)⁴
= 0.15625
P(GGGGBBB) = ⁵C₂ x (0.5)² x (0.5)³
= 0.3125
P(GGGGGBB) = ⁵C₃ x (0.5)³ x (0.5)²
= 0.3125
P(GGGGGGB) = ⁵C₄ x (0.5)⁴ x (0.5)¹
= 0.15625
P(GGGGGGG) = ⁵C₀ x (0.5)⁵ x (0.5)⁰
= 0.03125
Thus, the probability mass function for girls out of the 7 children is obtained.
To know more about the Probability, here
https://brainly.com/question/13604758
#SPJ4
You and your friends go camping and put up a tent on camp grounds. the tent is shaped like an isosceles triangle. the sides of the tent are 5 feet each and the opening of the tent is 6 feet wide. how tall is the tent
draw the full decision tree for the parity function of four boolean attributes, a, b, c, and d. is it possible to simplify the tree? g
The diagramfull decision tree for the parity function of four boolean attributes, a, b, c, and d is shown below picture and it is possible to simplify the tree.
learn more about decision tree here
https://brainly.in/question/13507974
#SPJ4
Help please, I don't know how to get QS
The complete proof using the AAS congruence postulate and CPCTC is explained below to show that QT ≅ SR.
What is the AAS Congruence Postulate?When two angles of a triangle, and one of its side that is nonincluded are congruent to corresponding two angles and a nonincluded side in the another triangle, then both triangles are congruent by the AAS congruence postulate.
If two triangles are congruent, then all its corresponding parts are also congruent to each other based on the CPCTC theorem.
Below is the two-column proof that proves that side QT is congruent to side SR.
Statement Reasons
1. ∠R ≅ ∠T, QT ≅ SR 1. Given
2. ∠TQS ≅ ∠RSQ 2. Alternate interior angles
3. QS ≅ QS 3. Reflexive property
4. ΔTQS ≅ ΔRSQ 4. AAS
5. QT ≅ SR 5. CPCTC
Learn more about AAS congruence postulate on:
https://brainly.com/question/3168048
#SPJ1
Write 0.0000509 in standard form.
Answer:
5.090 x 10^-5
Step-by-step explanation:
the student council at a local college has 8 seniors, 7 juniors, 5 sophomores and 3 freshmen. if 3 of them are randomly chosen to be on a committee, what is the probability that none of them are seniors?
The probability is 0.6 that if randomly choosen none of them are senior.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .acc to our question-
total people in council= 23The number of committees that have no seniors: In this case, we have to select 5 people from a group of 1+3+4=8 people. This can be done in 8C5 ways.The number of committees that have no seniors: In this case, we have to select 5 people from a group of 1+3+4=8 people. This can be done in 8C5 ways.Hence,the probability is 0.6 that if randomly choosen none of them are senior.
learn more about probability click here:
https://brainly.com/question/13604758
#SPJ4
how many Robin eggs, laid end to end, would be about equal in length to two raven eggs? justify your answer.
Answer:
Step-by-step explanation:
The average length of two raven eggs is about 0.1 m.
Since the average length of a robin egg is about 0.02 m, 5 eggs laid end to end would measure about 0.1 m.
Can anyone write the equation of the graph?
The equation of the graph is f(x) = |x - 3| + 5
How to determine the equation of the graph?The graph represents the given parameter
From the graph, we have the following highlights:
The graph is an absolute value graphThe graph has its minimum point at (3, 5)This means that
Vertex = (3, 5)
Rewrite the vertex as
(h, k)
An absolute value function is represented as
f(x) = a|x - h| + k
Substitute the known values in the above equation
So, we have the following equation
f(x) = a|x - 3| + 5
On the graph, we have
(x, f(x)) = (2, 6)
So, we have
6 = a|2 - 3| + 5
This gives
a = 1
So, we have
f(x) = 1 * |x - 3| + 5
Evaluate
f(x) = |x - 3| + 5
Hence, the graph has an equation of f(x) = |x - 3| + 5
Read more about absolute value functions at
https://brainly.com/question/3381225
#SPJ1
Which statement is an example of deductive reasoning?
Responses
Quadrilaterals DEFG and JKLM have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Quadrilaterals cap d cap e cap f cap g and cap j cap k cap l cap m have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Triangle XYZ is an isosceles right triangle. Triangle CDE is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
Triangle cap x cap y cap z is an isosceles right triangle. Triangle cap c cap d cap e is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All squares are parallelograms. Quadrilateral ABCD is a square. Therefore, quadrilateral ABCD is a parallelogram.
Answer:
Step-by-step explanation:
a card game goes like this you draw a card from a 52-card deck. if it is a face card (jack, queen, or king), you win $7 otherwise, you lose $2 what is your expected value for this game?
The value of game is 0.0769 .
Formula for Expected Value of Game :
Expected Value of Game = ( Probability of Winning * Profit ) + ( Probability of Losing * Loss )
According to question ,
P ( getting a face card ) = 12 / 52
= 3 / 13
P ( not getting a face card ) = 1 - ( 3 / 13 )
= 10 / 13
Expected value for this game = [ 7 * ( 3 / 13 ) ] + [ ( - 2 ) * ( 10 / 13 ) ]
= 0.0769
Hence , the value of game is 0.0769 .
To learn more on expected value of game follow link :
https://brainly.com/question/10675141
#SPJ4
Can anyone write the equation of the graph?
Answer:
f(x) = |x-3| + 5
when the auditors have chosen to test a control, what relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample?
Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.
Define sample.An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. Using samples, one can draw conclusions about populations. Since samples are useful, affordable, practical, and manageable, it is simpler to gather data from them. A crucial component of the scientific method is sampling, which enables researchers to demonstrate the validity of generalizable ideas using only a sample of particular facts. Additionally, sampling enables mathematicians to answer challenging paradoxes like the St.
Given,
Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.
To learn more about sample, visit:
https://brainly.com/question/13287171
#SPJ4
are these expressions equivalent
4(2a+7) and 8a +7
7y + 2y+y and 10y
8m-4m+4m and 8m
9e+2(e+5 and 11 +5
The equivalent expressions are 7y + 2y+y and 10y & 8m-4m+4m and 8m.
Other expressions are not equivalent
How to determine the equivalent expressions?Expressions 1
The expressions are given as
4(2a+7) and 8a +7
Open the brackets
8a+28 and 8a +7
The above expressions are not equal
Expressions 2
Here, we have
7y + 2y+y and 10y
Evaluate the like terms
10y and 10y
The above expressions are equal
Expressions 3
Here, we have
8m-4m+4m and 8m
Evaluate the like terms
8m and 8m
The above expressions are equal
Expressions 4
Here, we have
9e+2(e+5) and 11 +5
Open the brackets
9e+2e+10 and 11 +5
Evaluate the like terms
11e + 10 and 11 + 5
The above expressions are not equal
Read more about equivalent expressions at
https://brainly.com/question/15775046
#SPJ1
