Answer:
$13
Step-by-step explanation:
The expected payoff for the winner would be the ticket cost, $3, plus the prize money, $10, which totals $13. This is the expected value of playing the game. However, it's important to note that this does not guarantee that the winner will receive exactly $13, as the outcome of the game is dependent on chance and the player's skill. There is always a chance that the player could win more or less than the expected value.
Find the volume of the following figure.
(I need a answer to this very soon so if anybody can answer id really appreciate it :))
The volume of the prism is 103.32 cubic inches (optionD)
What is the volume of a prism?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
The base area of the prism = 4.1×7.2 = 29.52 inches squared.
The height of the prism is 3.5 inches
Therefore volume = base area × height
volume = 29.52× 3.5 = 103.32 cubic inches.
Therefore the volume of the shape is 103.32 cubic inches.
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The average amount of money spent for lunch per person in the college cafeteria is $5. 97 and the standard deviation is $2. 25. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X? X~ N(_______,_______)
What is the distribution of ¯x? ¯x~ N(______,_____)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6. 4225 and $6. 5884.
For the group of 46 patrons, find the probability that the average lunch cost is between $6. 4225 and $6. 5884
We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)
What is probability and statistics?
Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.
We can find probability from a statistical data based on the mean value and standard deviation.
What is the probability of the given data?given, average cost for lunch per person = mean value = $5.97
standard deviation of cost = $2.25
number of samples = 46
assume distribution of money spent is normal.
the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.
Z-score = (actual price - mean price) / standard deviation
Z-score when actual price is $6.4225.
Z = ($6.4225 - $5.97) / $2.25
Z = 0.2011
Now, Z-score when actual value is $ 6.5884.
Z = ($6.5884 - $5.97) / $2.25
Z = 0.2748
If actual value is denoted by X than the probability is shown as
P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)
For the group of 46 patrons the above probability is also the same.
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Interest earned- $25
principal- $500
interest rate -???
time- 2 years
what is the interest rate
The interest rate is 2.5 %.
Simple interest is the form of interest used for short term loans, such as one receives at pawnshops or from loan sharks. It is governed by the formula:
I = Prt
where I is the amount of interest, P is the principal (amount of money borrowed), r is the interest rate (per year), and t is the time (expressed in years).
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
I = $25, P = $500, r = ?, t = 2 years
∴ I = Prt
∴ r = I / Pt
∴ r = 25 / ( 500 * 2)
∴ r = 25 / 1000
∴ r = 0.025
∴ r = 0.025 * 100 %
∴ r = 2.5 %
Therefore, the interest rate is 2.5 %.
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What are the 4 types of problem solving?
The four types of problem solving can be named as Trial and Error , Algorithms , Inductive Reasoning and Deductive Reasoning .
What is Problem Solving ?
The Problem solving can be defined as the act of defining a problem , finding cause of problem, identifying, prioritizing and selecting the alternatives for solution and implementing it .
The four types of problem solving are :
(i) Trial and Error : It is defined as trying the different ways of doing something until we find the best solution .
(ii) Algorithms : The algorithm can be defined as a set of step by step procedures which provides correct answer to a particular problem.
(iii) Inductive Reasoning : It is defined as a process where we come to a conclusion where a general statement is reached from specific result.
(iv) Deductive Reasoning : It is defined as a process where we get specific results from general statements .
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Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
Number of tickets
0
1 2 3
24 18 12
4
6 0
What is the y-intercept of the function shown in the table, and what does it
represent?
OA. The y-intercept is (4,0). Jamie goes on 4 rides.
OB. The y-intercept is (4.0). Jamie uses 4 tickets per ride.
OC. The y-intercept is (0, 24). Jamie has 24 tickets before going on any
rides.
OD. The y-intercept is (0, 24). Jamie uses 24 tickets per ride.
Answer:
C. The y-intercept is (0,24). Jamie has 24 tickets before going on any rides.
Step-by-step explanation:
Rides Tickets Left
0 24
1 18
2 12
3 6
4 0
Let x be the number of rides taken and y be the number of tickets remaining. We can write the equation for this linear function as:
y = -6x + 24
The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0). He has 24 tickets. His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).
The y-intercept is written as (0,24): Jamie has 24 tickets before any ride is taken. This is option C.
How do you find area?
Answer:
You do length time width
A rectangular school banner has a length of 21 inches and a perimeter of 66 inches. A sign is made that is similar to the school banner and has a length of 7 inches. What is the perimeter of the sign?
The perimeter of the sign is 22 inches.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangular school banner has a length of 21 inches and a perimeter of 66 inches.
Let the perimeter of the sign for the length of 7 inches of the banner = x
So, By definition of proportion, we get;
⇒ 21 / 66 = 7 / x
Solve for x;
⇒ x = 7 × 66 / 21
⇒ x = 22
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What the answer? help me out! hurry!!
A line has a slope of - 1/7 and passes through the point (4,5). What is its equation in point-slope form??
Answer:
Step-by-step explanation:
y - 5 = -1/7(x - 4)
y - 5 = -1/7x + 4/7
y - 35/7 = -1/7x + 4/7
y = -1/7x + 39/7
Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
60 degrees and an equilateral triangle
Step-by-step explanation:
every triangle adds to 180 degrees
add 60+60=120
180-120=60 to find remaining angle
all angles are the same which makes all sides the same: equilateral
Answer:
1 =60
Step-by-step explanation:
a+b+c=180
60+60+c=180
120+c=180
-120. -120
c=60
21
Kinza goes on holiday to South Africa.
Kinza wants to change £950 into South African rand.
She wants to get as many 200 rand notes as possible.
The exchange rate is £1 = 18.53 rand.
Work out the greatest number of 200 rand notes that Kinza can get for £950
Perimeter > 50 solve please need by tonight
Answer:
Step-by-step explanation:
x + 4 + 2x - 6 + 10 > 50
4 - 6 + 10 = 8
x + 2x = 3x
3x + 8 > 50
Subtract 8 from both sides
3x > 50 - 8
3x > 42
Divide 3 from both sides
42/3 = 14
x > 14
Hello can someone please help me with this
1. The best geometric model for the rail road is C. Line
2. Two straight lines cannot go through any two points. It is false.
3. The length of the cake is A. 5.5 inches.
4. The vertical angles are AHC and GHE.
How to illustrate the information?The best geometric model for a set of railroad tracks would likely be a line, as it represents the linear path that the tracks follow. A point would not be appropriate as it does not represent the length or direction of the tracks, and a plane would not be necessary as the tracks are linear and exist in a three-dimensional space.
It should be noted that two straight lines cannot go through any two points. Only one line can. The length of the cake will be:
= 6.0 - 0.5
= 5.5
It should be noted that vertical angles are equal. This was Illustrated as AHC and GHE.
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Lionel bought 4 candy bar and 2 pack of gum at the ga tation and pend $9. 80. Two pack of gum cot the ame a three candy bar. Let g repreent the cot of a pack of gum and repreent the cot of a candy bar
The cost of a pack of gum bought by Lionel is $2.1.
Let the variable g represent the cost of a pack of gum.
Let the variable c represent the cost of a candy bar.
Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;
4c + 2g = 9.80 ......equation (1)
Additionally, two packs of gum cost the same as three candy bars:
2g = 3c ......equation (2)
c = 2g/3 ......equation (3)
Substituting equation (3) in equation (1), we get:
4(2g/3) + 2g = 9.80
8g/3 + 2g = 9.80
14g/3 = 9.80
14g = 29.4
= 29.4/14
= $2.1
The cost of a pack of gum is $2.1.
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The complete question is -
Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?
Find (angle) Then classify the triangle by its angles.
M (angle) 1 =
Answer:
m∠1 = 110°obtuse triangleStep-by-step explanation:
You want to find the measure of the angle designated as ∠1, given the other two have measures of 40° and 30°. You also want the classification of the triangle based on its angles.
Angle sumThe sum of angles in a triangle is 180°.
40° +∠1 +30° = 180°
∠1 = 110° . . . . . . . . . . . . subtract 70°
Triangle classificationThe classification of a triangle as acute, right, or obtuse is based on the measure of its largest angle. If that angle is 90°, the triangle is a right triangle. If it is less, the triangle is acute; if it is more, the triangle is obtuse.
The angle measure 110° is more than 90°, so this triangle is an obtuse triangle.
How do you get from 4 to 4/3?
4 times what gives us 4/3?
m = the unknown value
4m = four times that unknown value
4m = 4/3
m = (4/3)*(1/4)
m = 4/12
m = 1/3
Therefore, we multiply 4 with 1/3 to end up with 4/3.
What are the 3 types of trigonometry?
the main three types of trigonometry are ,
1- sine angle (sin Q)
2- cosine angle (cos Q)
3- tangent angle (tan Q)
all the other types of trigonometry are related to these three types only.
sine angle
we can find out the sine angle by taking perpendicular of the triangle divided by hypotenuse of the triangle. sine angle is a acute angle.
cosine angle
we can find out the cosine angle by taking base of the triangle divided by hypotenuse of the triangle. cosine angle is a acute angle.
tangent angle
we can find out the sine angle by taking perpendicular of the triangle divided by base of the triangle.
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A group of hikers starts at an elevation of 2.53 kilometers. When they stop for lunch, their elevation has increased by 1.24 kilometers. When they stop to camp, their elevation has decreased by 0.53 kilometer compared to their lunch stop. Which expressions represent the elevation, in kilometers, of the group’s campsite?
Find the area of the right triangle below.
9m
4m
18 m²
Step-by-step explanation:The area is the size of a 2-dimensional shape.
Area of a Triangle
The formula for the area of a triangle is [tex]\frac{1}{2}bh[/tex], where b is the base and h is the height.
This formula comes from the fact that a triangle is half of a rectangle. Remember that the area of a rectangle is the base times the height, so a triangle would be half of this.
Solving for Area
The base of the triangle is 9 meters. Then, the height is 4 meters. So, we can plug these values into the formula.
[tex]A=\frac{1}{2}*4m*9m[/tex]So, A = 18. Then, since meters are being multiplied by each other, the units are meters squared. The final answer is 18 m².
5. Measure the length of each leg and the hypotenuse of this triangle: a.f = units ag units fg = units
To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()
What is Hypotenuse triangle?The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.
Hypotenuse TheoramPythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;
Hypotenuse2 = Base2 + Perpendicular2
The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:
Hypotenuse = √[Base2 + Perpendicular2]
Length of the hypotenuse:Hypotenuse length: In the scenario where the square root is not a perfect square, we take an approximation of the root here in order for the solution to appear.Additionally, the squares of the base and the height should always be added to establish the value, however this does not provide a perfect square.Due to the imperfect square-root number, we must therefore approximation the solution.To know more about Hypotenuse Triangle refer to:
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What is '__ main __'?
In Python, __main__ is the name of the environment where top-level code is run.
We know that in Python, the main function acts as the starting point of execution for any software program.
As we know the program executes only when it runs directly, and if it is imported as a module, then it will not run, the execution of the program starts only when the main function is defined in Python.
__main__ is the name of the top-level scope in which top-level code executes.
Also, all the functions and modules will be executed in the top-level scope __main___ in the interpreter shell.
Using the top-level scope __main__ increases the reusability.
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Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places
Use the table in the book to find the P-value rounded to at least 4 decimal places.
It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.
The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.
In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.
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What is the product of the factors 8.075 * 0.08
im not that smart guys
please
Answer: 0.640
Step-by-step explanation:
Multiply in your calculator
What are angles 2 and 8 called?
The Angle 2 and angle 8 in the given figure are called as the alternate interior angle and they are equal .
What are Alternate Interior Angles ?
The alternate interior angles are defined as the angles that are formed when a transversal intersects the two coplanar lines.
The alternate interior angles lie on inner side of parallel lines but they are on the opposite sides of the transversal.
So , From the figure we can conclude that the angle 2 , angle 8 and angle 3 and angle 5 are the alternate interior angles .
Therefore , the angle 2 and 8 are alternate interior angles.
The given question is incomplete , the complete question is
What are the angles 2 and 8 called in the given figure ?
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Subtract (7x+5)-(3x+2)?
Answer:
Step-by-step explanation:
original equation equivalent to 7x+5-3x-2 = 7x-3x+5-2=4x+3
the answer is 4x+3
Answer:
The answer is 4x+3
Julian went shopping for a new pair of sneakers. Sales tax where he lives is 5.75%. If the price of the pair of sneakers is pp dollars and cents, which expression represents the total price plus tax?
The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp
How to write the expression of the total price Julian paid
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
5.75%
= 5.75 percent
= 5.75 / 100
= 0.0575
The factor 0.0575 of the price (pp dollars and cents) gives the total price paid
when the price paid is pp dollars and cents
= 0.0575 * pp + pp
= 1.0575pp
The total price paid is 1.0575pp
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What is the answer of 2 by 7 and 3 by 5?
The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.
To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.
A common denominator for 2/7 and 3/5 is 35.
So we can convert both fractions to have 35 as the denominator,
2/7 becomes (2×5)/(7×5) = 10/35
3/5 becomes (3×7)/(5×7) = 21/35
then we can add the numerators:
10/35 + 21/35 = 31/35
so the final answer is 31/35
This is also the simplest form of this fraction which would be 31/35.
--The question is not clear, answering to the question below--
"What is the answer of 2/7 + 3/5?"
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Given points V(10;2) and N (-7;9).
Determine the coordinates of vectors VN and NV
VN =( ; )
NV = ( ; )
How many liters of air are in a room that measures 11. 0ft×11. 0ft and has an 8. 00 ft ceiling? 1in. =2. 54cm (exactly); 1L=103cm3
The volume of air present in the room is 27410.7075 lt .
What is Volume ?The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.
The dimension of the room is 11*11*8 in feet.
so, 11 ft = 11 *2.54*12 = 335.28 cm
And, 8 ft = 8 *2.54*12 = 243.84 cm
Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]
In litre,
27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.
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How do you find third side of triangle if two sides are given and angle is given?
The Third side of a triangle if the two sides are given and one angle is given can be found by using the Cosine Law .
What is Cosine Law ?
The Cosine Law states that the square of any one side of the triangle is equal to difference between sum of squares of the other two sides and double of product of other sides and cosine of the angle included between them.
In mathematical terms it means that ;
let a , b be the the know sides and "c" be the unknown side of the triangle ABC , and the known angle be = angle C ;
So , the side c will be ⇒ [tex]c^{2}= a^{2} +b^{2} - 2ab\times Cos(C)[/tex] ;
Therefore , the Cosine Law helps in finding the missing third side .
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can someone please help with this question i’ve been stuck on it for an hour thanks
Answer:
110° and 215°
Step-by-step explanation:
to measure the bearing from one point to another
the bearing is measured clockwise from a north line.
(a)
clockwise from the north line N at C to D is 110°
(b)
clockwise from the north line N at C to D is 215°