Answers
Answer:
• (a)42%
,• B. You have lost $16.
,• (b) A. The change is consistent with the law of large numbers because as the number of trials increases, the proportion should grow closer to 50%.
,• A. You have lost $36.
,• (c)You would need to toss 68 heads. This is unlikely as it is far from the expected number of heads.
Explanation:
In the first 100 tosses, the number of outcomes are:
• Heads: 42
,• Tails: 58
Part A
(a)The percentage of times heads have come up in the first 100 tosses is:
\(42\%\)(b)You win $1 if a head appears and loses $1 if a tail appears.
\(42(1)-58(1)=-\$16\)At this point: B)You have lost $16.
Part B
(c)By the law of large numbers, as the number of trials is increased, the result gets closer to the expected value.
Therefore, the change is consistent with the law of large numbers because as the number of trials increases, the proportion should grow closer to 50%.
Option A is correct.
(d)
There are a total of 300 tosses.
Head comes up 44% of the time.
\(\begin{gathered} Head(Gain):300\times\frac{44}{100}=132 \\ Tails(Loss):300\times\frac{56}{100}=168 \\ Net\text{ Loss=132-168=\$36} \end{gathered}\)A. You have lost $36.
Part C
So far, out of 300 tosses, there are 132 Heads.
In order to break even after 400 tosses, the number of heads must be equal to the number of tails.
Therefore:
\(200-132=68\)Therefore, you would need to toss 68 heads. This is unlikely as it is far from the expected number of heads.
Option B is correct.
Related Questions
Can someone help me Solve:
-2√3+√75=
Answers
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Tanisha and elicia and ana are cousins. Tanisha is twice as old as Ana, and Elicia is two years older than tanisha. the summ if all their ages is 37. use the 5D process to determine the age of each girl
Answers
Answer:
Tanisha = 14 years
Ana = 7 years
Elicia = 16 years
Step-by-step explanation:
Let T = age of Tanisha
Let A = age of Ana
Let E = age of Elicia
Tanisha is twice as old as Ana:
T = 2A
⇒ A = (1/2)T
Elicia is 2 years older than Tanisha:
E = 2 + T
Sum of all their ages is 37:
A + E + T = 37
Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:
⇒ (1/2)T + 2 + T + T = 37
⇒ (5/2)T = 35
⇒ T = 14
If T = 14, then
A = (1/2)T = (1/2) 14 = 7
If T = 14, then
E = 2 + T = 2 + 14 = 16
A box that measures 15 inches by 5 inches by 3 inches.
What are the units of the volume of the figure?
square inches
cubic inches
square centimeters
cubic centimeters
Answers
Answer: cubic inches.
Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.
a straight line passes through points A(-2,6) and B(4,2). M is the midpoint of line AB.Find the coordinates of M
Answers
Answer:
(1,4)
Step-by-step explanation:
A triangular prism has a base area of 15 square meters. If the volume of the prism is 135 cubic meters, what is the height of the prism? SHOW YOUR WORK. (5 points)
a
3 meters
b
45 meters
c
9 meters
d
27 meters
need done quick
Answers
135/ 15 = 9
6. A number consists of two digits whose
sum is 8. If 18 is subtracted from the
number the digits interchange their places,
then what is the number?
(a) 42
(b) 35
(c) 53.
(d) 44
Answers
(c) 53
Step-by-step explanation:Hi there !
we have a number ab
a + b = 8
ab - 18 = ba
10a + b - 18 = 10b + a
10a - a + b - 10b = 18
9a - 9b = 18 | + (9a + 9b)
9a + 9a - 9b + 9b = 18 + 9(a + b)
18a = 18 + 9×8
18a = 18 + 72
18a = 90
a = 90 : 18
a = 5
a + b = 8
5 + b = 8
b = 8 - 5
b = 3
ab = 53
Good luck !
What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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help me please 2-7
2. Every Tuesday that Yolanda's family has visited a specific local restaurant, the
Nids meals have been free. When Yolanda's family visits that restaurant next
Tuesday, the kids' meals will be free
Answers
The given statement about when next they visit the restaurant that the meals will be free is an example of; inductive reasoning.
What type of reasoning was used?
Inductive reasoning is a type of reasoning that involves forming general theories from specific observations. Observing something happen repeatedly and concluding that it will happen again in the same way is an example of inductive reasoning.
Deductive reasoning is a type of reasoning that involves forming specific conclusions from general premises. An example is; Everyone in this class is an English major; Jesse is in this class; therefore, Jesse is an English major.
Now, from the given question, it was observed that Every Tuesday that Yolanda's family has visited a specific local restaurant, the Nids meals have been free. Now, using that to conclude that when next he visits the restaurant that the meals will be free is an example of inductive reasoning.
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Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
Answers
\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{5+4}\implies -\cfrac{10}{9}\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-\cfrac{10}{9}}(x-\stackrel{x_1}{(-4)})\implies y-7=-\cfrac{10}{9}(x+4)\)
The number of vinyl album sales (in millions) in a country x years after 2010 is given by the polynomial 0.2xexponent2+0.3x+3.3 for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2030 (x=20)
Answers
The model predicts that there will be 89.3 million vinyl album sales in the country in the year 2030 by using quadratic equation.
Define quadratic equation?
A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one squared term (x²). The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The values of a, b, and c determine the shape of the parabola, which is the graph of a quadratic equation.
To predict the number of vinyl album sales in the year 2030, we need to substitute x = 20 into the polynomial:
\(0.2x^2 + 0.3x + 3.3\)
\(= 0.2(20)^2 + 0.3(20) + 3.3\)
\(= 80 + 6 + 3.3\)
\(= 89.3\)
Therefore, the model predicts that there will be 89.3 million vinyl album sales in the country in the year 2030.
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2x + y = 7
x + y = 1
Answers
The solution to the system of equations is x = 6 and y = -5, which is the same as we obtained using the elimination method.
What is the system of equations?A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:
2x + y = 7 ---(1)
x + y = 1 ---(2)
To solve this system, we can use the method of elimination or substitution.
Method 1: Elimination
In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.
Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:
-2(x + y) = -2(1) --
Multiplying equation
(2) by -2-2x - 2y = -2
Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:
2x + y = 7(-2x - 2y = -2)0x - y = 5
We now have a new equation in which y is isolated.
To solve for y, we can multiply both sides by -1:
-1(-y) = -1(5)y = -5
Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6
Therefore, the solution to the system of equations is (x,y) = (6,-5).
Method 2: Substitution
In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.
From equation (2), we can solve for y in terms of x:y = 1 - x
We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6
Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5
Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.
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Cannington, Inc., designs, manufactures, and markets personal computers and related software. The following information was taken from a recent annual report of Cannington industries: Property, Plant, and Equipment (in millions): Current Year Preceding Year Land and buildings $707,150 $410,147 Machinery, equipment, and internal-use software 671,793 530,363 Office furniture and equipment 106,073 91,930 Other fixed assets related to leases 855,652 643,507 Accumulated depreciation and amortization (898,081) (749,579) a. Compute the book value of the fixed assets for the current year and the preceding year. Current year book value $fill in the blank 1 Preceding year book value $fill in the blank 2
Answers
The book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.
Book valueCurrent year book value
Land and buildings $707,150
Machinery, equipment, and internal-use software $671,793
Office furniture and equipment $106,073
Other fixed assets related to leases $855,652
Less Accumulated depreciation and amortization ($898,081)
Book value $1,442,587
Preceding year book value
Land and buildings $410,147
Machinery, equipment, and internal-use software $530,363
Office furniture and equipment $91,930
Other fixed assets related to leases $643,507
Less Accumulated depreciation and amortization ($749,579)
Book value $926,368
Therefore the book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.
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Which describes how to calculate the range of this data set?
4,5, 6, 8, 11, 12
O Subtract 11-5.
O Subtract 12-4.
O Add 11+5.
Add 12+ 4.
Answers
Answer:
B) Subtract 12-4 to calculate the range of this data set
Using pemdas, please help with the following questions:
Answers
Answer:
Step-by-step explanation:
(9 + 33 - 6) ÷ 6 - 3²
36 ÷ 6 - 3² p
36 ÷ 6 - 9 e
6 - 9 md
- 3 as
(10 + 43 - 5) ÷ 6 + 5²
48 ÷ 6 + 5² p
48 ÷ 6 + 25 e
8 + 25 md
33 as
(6 + 3)² + (9 - 10 + 5)
9² + 4 p
81 + 4 e
81 + 4 md not used
85 as
4 x (12 x 6 - 4²) + 9 must use pemdas inside the parentheses first
4 x (12 x 6 - 16) + 9 e (p not used inside)
4 x (72 - 16) + 9 md
4 x 56 + 9 as parentheses complete, start over
224 + 9 md (pe not used)
233 as
Pls help me I need this now
Answers
Answer:
im pretty sure its G
Step-by-step explanation:
Answer:
It would be F. Each point of a figure will be reflected across the y-axis.
Step-by-step explanation:
If we were to test with random coordinates, like (1,-3) and (1,3), everything gets reflected over the y-axis.
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.
Rebecca is currently at energy level 4. The results of her next 3 turns are:
Turn 1: 6 trees cut
Turn 2: 8 trees planted
Turn 3: 1 tree cut
Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
1. Using only addition, write an expression that represents Rebecca's score after these three turns. (Remember that she starts at an energy level of 4.). (2 points)
2. What is Rebecca's energy level after Turn 1? (2 points)
3. What is Rebecca's energy level after Turn 2? (3 points)
4. What is Rebecca's energy level after Turn 3? Will she earn bonus points after Turn 3? Explain why or why not. (3 points)
And lastly please show your work on each one. Ill give brainliest to the one that is 100% correct.
Answers
Answer:
1. I'm not sure of this one so look up "How to write an expression using only addition with numbers" or something like that. 2. after turn one she will have -2 points 3. after turn 2 she will have 6 points 4. after turn 3 she will have 5 points. She will not earn bonus points after turn three because she didn't reach over ten points.
Step-by-step explanation:
i need help can someone help me
Answers
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.
Answers
Answer:
She'll have $661 in the account in 2022.
Step-by-step explanation:
Compound interest:
The amount of money earned in compound interest after t years is given by the following equation:
\(A(t) = A(0)(1+r)^t\)
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Rachael started off with $400. It earns 3% interest each year.
This means that \(A(0) = 400, r = 0.03\)
So
\(A(t) = A(0)(1+r)^t\)
\(A(t) = 400(1+0.03)^t\)
\(A(t) = 400(1.03)^t\)
She wants to know how much money she'll have in the account in 2022.
17 years after 2005, which means that this is A(17). So
\(A(17) = 400(1.03)^{17} = 661\)
She'll have $661 in the account in 2022.
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
Answers
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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A salt mixture has 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
7 to 1
1 to 7
2 to 7
2 to 8
Answers
Its asking for salt:water
2 parts of salt to 7 parts of water
Answer:
2 to 7
Step-by-step explanation:
simplify pls do fast
Answers
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
y=-x+8
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1
Y-intercept = (0,8)
Therefore, the equation of the trend line is y=-x+8
Which of the following is the square of a binomial
A. 36x^2 - 4y^2
B. d^2 + e^2
C. m^2 - mn + n^2
D. p^2 - 2pr + r^2
Answers
Answer:
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
The only choice that has the form a² + 2ab + b² is D.
The square of a binomial is (p – r)². Then the correct option is D.
What is square binomial?The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.
Let's check the option D, we have
⇒ p² – 2pr + r²
We know that the formula a² – 2ab + b² = (a – b)², then we have
⇒ p² – 2pr + r²
⇒ (p – r)²
Then the correct option is D.
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What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
![What is the meaning of "if [tex]\varphi (x)[/tex] has no parameters [tex]p_{i}[/tex] then the class C](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/yxAwmsaXJBUQhpdRbSM40V2ZzqIoance.png)
Answers
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
What transformation is this 1. Translation 2. Reflection3. Rotation 4. Dilation
Answers
The Solution.
The transformation is a reflection over the x-axis.
Thus, the correct answer is option 2.
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
Answers
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
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3. Evaluate the expression
3x² - 8(y + 2)
2y
for x = 8 and y = -2.
Answers
Which graph shows the information in the table?
Calories in Salad Dressing
Number of Ounces of Salad
Dressing
2
3
4
5
Total Calories
300
450
600
750
Answers
Answer: Number 2
Step-by-step explanation: yes