The frequency distribution is calculated below
How to construct the frequency distributionThe dataset is given as
32,22,19,18,43,42,40,43,18,21,31,26,22,25,47,40,26,32,34,22,35,38,34,41,36,25,22,45,48,26,28,38,35,19,47,28,26,35,38,35.
To construct a frequency distribution using class intervals, we calculate the class width as follows:
Class width = Range / Number of intervals
So, we have
Class width = (48 - 18)/5 = 6
Now we can construct the frequency distribution table:
Class Interval Frequency
18 - 23 9
24 - 29 8
30 - 35 9
36 - 41 7
42 - 47 6
48 - 53 1
The class mark for each class can be calculated as:
Class mark = (Lower limit + Upper limit) / 2
For the class boundaries, we use the following formula
Lower boundary = Lower limit - 0.5
Upper boundary = Upper limit + 0.5
For the cumulative frequency of the distribution, we need to add up the frequencies of each class and all the preceding classes.
Lastly, for the relative frequency we divide each frequency by the total frequency (40)
Using the above as a guide, we have
Interval Frequency Boundaries Mark CF
18 - 23 9 17.5 - 23.5 20.5 9
24 - 29 8 23.5 - 29.5 26.5 17
30 - 35 9 29.5 - 35.5 32.5 26
36 - 41 7 35.5 - 41.5 38.5 33
42 - 47 6 41.5 - 47.5 44.5 39
48 - 53 1 47.5 - 53.5 50.5 40
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Sam wants to buy a video game that costs $125, He has already saved $50 so far. He tutors
a neighborhood kid to make extra money and earns $15 per session. Which inequality can
be used to determine the number of sessions, s, he needs to conduct to have enough money
to buy the video game?
A. 15x + 50 ≥ 125
B. 15x + 50 ≤ 125
C. 50x + 15 ≥ 125
D. 50x + 15 ≤ 125
Answer:
We can use inequality B to determine the number of sessions Sam needs to conduct. The reason is that he already has $50 and he wants to have enough money, so he needs to earn the remaining amount through tutoring. Thus, we can write the inequality as:
15s + 50 ≥ 125
where s is the number of tutoring sessions he needs to conduct. We can simplify and solve for s as follows:
15s ≥ 75
s ≥ 5
Therefore, Sam needs to conduct at least 5 tutoring sessions to have enough money to buy the video game.
What is 974.362 rounded to the nearest tenth
Answer:
974.4
Step-by-step explanation:
Answer:
974.4
Step-by-step explanation:
The tenth place is located the digit to the right of the decimal point, in this case, it will be three. When rounding, if it is four or below you keep it, or if it is five or above, you round up to the nearest ten.
974.362 - 6 is above 5, so you will make the three a four.
974.4
Emilia is designing a prize wheel for her school. 200 students will spin the wheel once each. Emilia wants the expected number of winners to be 90. If the wheel is split into 40 equal-sized sections, how many of the sections should be marked as "win"?
why is it not possible to form a right triangle with the lengths 4, 8, and 10? please explain!
Answer:
It is not possible to form a right triangle with the lengths 4, 8, and 10 because the longest side of the triangle must be shorter than the sum of the other two sides. This is known as the Pythagorean Theorem, which states that in a right triangle, the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides. Since 8² + 10² = 164, and 10 is greater than the sum of 4 + 8, it is not possible to form a right triangle with those three lengths.
In this case, assuming that 10 is the hypotenuse, we have:
10² = 4² + 8²
100 = 16 + 64
This equation is not true, as 100 is not equal to 80. Therefore, we cannot form a right triangle
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
Given : A = 24 sq feet
A = 0.5 base x height
base = x , height = x+2
A = 0.5 x(x+2) = 24 sq feet
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
To check the rest un-wrap the bracket:
x^2 + (x+2)^2 = 24
x^2 + x^2 + 4 + 4x = 24
2x^2 + 4x - 20 = 0
x^2 + 2x - 10= 0 (NO)
Likewise:
x^2 + (x+2)^2 = 100
x^2 + x^2 +4 + 4x = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
3) x^2 + 2x - 48 = 0 (F)
To sum up: that's what apply:
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
3) x^2 + 2x - 48 = 0 (F)
Use Pattern blocks to represent each multiplication equation. recall that a hexagon represents 1 whole.
Pattern blocks are shapes that are used to illustrate math equations. They can be used to represent addition, subtraction, multiplication and division. If five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.
What are pattern blocks?Pattern blocks are a great visual tool for teaching younger children basic multiplication. They can help children understand the concept of multiplication better, as well as help them to remember the equation. Pattern blocks are also a great way to show the relationship between addition and multiplication, since both equations can be represented using the same shapes. By using pattern blocks to illustrate multiplication equations, children can have a more concrete understanding of the concept.
For multiplication, there are two different ways to use pattern blocks. The first way is to use the number of sides on a pattern block to represent the multiplication equation. For example, if two hexagons are used to represent 2 x 2, then the equation can be read as two times two. The second way is to simply stack the pattern blocks in order to represent the equation. For example, if five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.
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The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 2/ t^2 , where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3.
As a result, the particle's velocity changes as time passes. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3.
What about the equation's meaning?A mathematical equation, such as 6 x 4 = 12 x 2, states that two numbers or values are equivalent. a meaningful noun. When several or even more components need to be taken into account simultaneously in order to comprehend or describe the entire situation, an equation is used.
The derivatives of the displacing equation with time as a parameter is the particle's velocity.
v = ds/dt = d/dt (2/t²) = -4/t³
As a result, the particle's velocity at times t = a, t = 1, t = 2, and t = 3 is as follows:
v(a) = -4/a³
v(1) = -4/1³ = -4 m/s
v(2) = -4/2³ = -0.5 m/s
v(3) = -4/3³ = -0.15 m/s
The particle's velocity consequently varies over time. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3. Due to the fact also that velocity is negative for any and all values of t, the particle is travelling in the reverse way (i.e., to the left).
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How can you determine how many solutions a quadratic function has?
Determining how many x-intercepts the graph has
O Determining how many y-intercepts the graph has
Looking to see if the function opens downward
Looking to see if the function opens upward
Determing how many x intercepts the graph has, as those are the points when y = 0.
How does the diagram show that x + 4 has the same value as 17 which part of diagram shows the quantity x
Using Algebraic equations, The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.
What are algebraic equations?
Algebraic equations are mathematical statements that involve one or more variables, as well as constants and mathematical operations such as addition, subtraction, multiplication, and division. An algebraic equation usually has an equals sign (=) that separates the two sides of the equation. The goal of an algebraic equation is to find the value of the variable that makes the equation true.
For example, the equation x + 3 = 7 is an algebraic equation that involves the variable x. The goal is to find the value of x that makes the equation true. In this case, we can solve the equation by subtracting 3 from both sides, which gives us x = 4.
Algebraic equations can be used to model a wide variety of real-world situations, such as the relationship between the price and quantity of goods sold, the growth rate of a population, or the amount of interest earned on an investment. They are a fundamental tool in many branches of mathematics, science, engineering, and economics, and they are also used extensively in computer programming and data analysis.
Without a specific diagram to refer to, it's difficult to provide a specific answer. However, I can provide a general explanation of how a diagram might show that x + 4 has the same value as 17 and how it might indicate the quantity x.
One way a diagram might represent this equation is through the use of a balance or scale. For example, the diagram might show a balance with a weight of 17 on one side and a weight of x + 4 on the other side. If the balance is level, it indicates that the weight of x + 4 is equal to the weight of 17, which means that x + 4 has the same value as 17.
To indicate the quantity x, the diagram might show a box or symbol on the side of the balance representing x + 4. This box might have a label or caption indicating that it represents x + 4. By subtracting 4 from both sides of the equation, we can determine that x is equal to 13, which would be the value of x that the diagram is representing. The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.
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each year the population of algeland increases by 33% the population is currently 5,476,223. What will the population be 16 years from now
The required population of Algeland 16 years from now will be approximately 524937236.
What is Percentage?In essence, percentages are fractions with a 100 as the remainder. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on an examination (75/100).
According to question:To find the population of Algeland after 16 years, we can use the formula:
[tex]$P = P_0 \times (1 + r)^n$[/tex]
where P is the population after 16 years, [tex]$P_0$[/tex]is the initial population, r is the annual growth rate, and n is the number of years.
Given that the population of Algeland increases by 33% each year, we can express the annual growth rater as:
[tex]$r = 33% = 0.33$[/tex]% = 0.33
We are also given that the current population [tex]$P_0$[/tex] is 5,476,223.
Thus, the population of Algeland after 16 years can be calculated as:
[tex]$P = 5,476,223 \times (1 + 0.33)^{16}$[/tex]
Simplifying this expression, we get:
P = 524937236
Therefore, the population of Algeland 16 years from now will be approximately 524937236.
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Help. Marked most brainlliest
Answer:
Incorrect
Step-by-step explanation:
In step one, when they multiplied exponents, they added them which is correct
Step two, they divided exponents, which means they should have subtracted. if they subtracted 6/5 and 2/5, it would have been
[tex]( {x}^{ \frac{4}{5} } )^{ \frac{1}{2} } [/tex]
Can you please solve? TKSSSSS
Answer:
18π or
Step-by-step explanation:
To find the area of a semicircle, use the formula of the area of a semicircle.
Area = [tex]\frac{1}{2}[/tex] π r^2
Radius = 6
Area = [tex]\frac{1}{2}[/tex] π 6^2
Area = [tex]\frac{1}{2}[/tex] (36π)
Area = 18π (in terms of π)
Area = 56.52 (in terms of 3.14)
Please help urgently! Find all the missing angles in the diagram below. Explain how you used two different angle theories to find at least two missing angles.
The requried measures of angles a, b, c, and d are 97°, 15°, 68°, and 68° respectively.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
From the figure,
The calculation of the unknown angles is as follows,
112° and ∠d are supplementary angles.
So,
112 + ∠d = 180
∠d = 180 - 112
∠d = 68°
97° and angle a are corresponding angles, so
∠a = 97°.
112 and ∠c are also supplementary angles.
112 + ∠c = 180
∠c = 68°
Now,
∠a + ∠b = 112
∠a + 97 = 112
∠a = 15°
Thus, the requried measure of angles a, b, c, and d are 97°, 15°, 68° and 68°.
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Cómo convertir 3000m a km
Answer:
Step-by-step explanation:
1000m = 1km
So 3000m = 3km
Which expression is equivalent to (5−4i)(3−2i)(5−4i)(3−2i)?
The given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.
What is expression ?
In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. It can be a simple expression consisting of only one number or variable, or a complex expression consisting of several numbers, variables, and operations.
We can use the distributive property of multiplication to expand the given expression as follows:
(5−4i)(3−2i)(5−4i)(3−2i)
= (5−4i)(5−4i)(3−2i)(3−2i)
= (25 - 40i + 16i²)(9 - 12i + 4i²)
= (25 - 40i - 16)(9 - 12i - 4)
= (-231 + 372i)
Therefore, the given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.
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9. Leroy received a stamp for his collection as a gift. When he received the stamp, it was worth $14.50.
The value of the stamp increases by 2% each year.
a. Write an equation for the value of the stamp V after t years.
b. Use the equation to predict the value of the stamp after 18 years.
Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.
What is equation ?A mathematical assertion that two expressions are equivalent is known as an equation. The equal symbol (=) separates the two sides, which are labeled as the left-hand side (LHS) and the right-hand side (RHS). The equation must have identical values on both sides, and it is frequently used to determine an unknown variable's value.
Numerous mathematical processes, such as addition, subtraction, multiplication, division, exponents, logarithms, and more, can be used in equations.
given
a. The formula for the stamp's worth V after t years is as follows:
[tex]V = 14.50(1 + 0.02)^t[/tex]
where t is the period of time since Leroy got the stamp, and 0.02 denotes a 2% annual increase in value.
b. We enter t = 18 into the equation to estimate the stamp's value after 18 years:
[tex]V = 14.50(1 + 0.02)^{18[/tex]
[tex]V = 14.50(1.02) (1.02)^{18[/tex]
V = 14.50(1.485) (1.485)
V = 21.54
Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.
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Ryan, a consumer electronics salesperson, earns a base salary of $1400 per month and a commission of 5% on the amount of sales he makes. One month Ryan received a $1710 paycheck. Find the amount
Answer:
Let x be the amount of sales Ryan made in that month.
Ryan's commission on the sales would be 5% of x, which is 0.05x.
Adding the commission to his base salary gives his total income for the month, which is $1400 + 0.05x.
Since his paycheck for the month was $1710, we can write the equation:
$1400 + 0.05x = $1710
To solve for x, we can first subtract $1400 from both sides:
0.05x = $310
Then divide both sides by 0.05:
x = $6200
Therefore, Ryan made $6200 in sales that month.
How many 3cm cubes can be placed inside the box?
Answer: 36 cubes
Step-by-step explanation:
Length x Width x Height
18 x 6 x 9 = 972
3 x 3 x 3 = 27
972 / 27 = 36
Please help!!
Complete the identity
cos^2 θ/2=?
Answer:
cos^2 θ/2 = (cos θ + 1)/2.
Step-by-step explanation:
We can use the identity cos 2θ = 2cos^2 θ - 1 to derive an identity for cos^2 θ/2:
cos 2(θ/2) = cos θ
Replacing θ/2 with x:
cos 2x = cos 2(x/2)
Using the double angle formula for cosine:
cos 2x = 2cos^2 x - 1
Substituting θ/2 for x:
cos θ = 2cos^2 (θ/2) - 1
Rearranging this formula, we can solve for cos^2 θ/2:
2cos^2 (θ/2) = cos θ + 1
cos^2 (θ/2) = (cos θ + 1)/2
Therefore, cos^2 θ/2 = (cos θ + 1)/2.
You have $400,000 saved for retirement. Your account earns 6% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years?
We will be able to put out $36598.19. The solution has been obtained by using the concept of present value of annuity.
What is present value of annuity?The present value of an annuity is the current value of its anticipated future payments at a given rate of return, or discount rate. With higher discount rates, the annuity's present value falls.
We are given that $400,000 are saved for retirement. The account earns 6% interest.
Using present value of annuity,
⇒Present value of annuity due = P + P [tex][\frac{1-(1+r)^{-(n-1)} }{r}][/tex]
⇒400,000 = P + P [tex][\frac{1-(1+0.06)^{-(15-1)} }{0.06}][/tex]
⇒400,000 = P [1 + 9.295]
⇒P = 400,000/10.9295
⇒P = $36598.19 (approx.)
Hence, we will be able to put out $36598.19.
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Find volume in terms of pi
The volume of the figure is 93π
How to determine the volume of the figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The volume is calculated as
Volume = Cone + Cylinder
Using the above as a guide, we have the following:
Volume = 1/3πr²(H - h) + πr²h
Substitute the known values in the above equation, so, we have the following representation
Volume = 1/3π * 3² * (15 - 8) + π * 3² * 8
Evaluate
Volume = 93π
Hence, the volume is 93π
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express in exponential form (-2.5 + i4.2)
Answer:
The given complex number is (-2.5 + i4.2).
To express it in exponential form, we need to find the modulus (r) and argument (θ) of the complex number.
The modulus is given by:
|r| = √((-2.5)^2 + (4.2)^2) = √(6.25 + 17.64) = √23.89 ≈ 4.888
The argument is given by:
θ = tan⁻¹(4.2/(-2.5)) = tan⁻¹(-1.68) ≈ -1.03 radians
Therefore, the exponential form of the complex number is:
(-2.5 + i4.2) = 4.888e^(-i1.03)
Part 1 The height of a ball (in feet) after t seconds is given by the quadratic function h = -16(t-5)^2 + 119.
A. When does the ball reach its maximum height?
B. What is the maximum height?
The ball may rise height a maximum of [tex]119[/tex] feet.
How is height defined?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base but something above it. Anything that can be measured vertically, whether it is high or low, is referred to as having height.
As the ball hits the quadratic function's vertex, it has grown to its highest point. The position (b, c), wherein b is the vertex's x-coordinate, is where a quadratic function of the type is said to have its vertex.
As the quadratic function in this instance is, the point serves as the vertex (5, 119). The ball therefore reaches its highest point after 5 seconds.
[tex]h=-16(5-5)^{2}+119[/tex]
[tex]h=119[/tex]
Therefore, the maximum height of the ball is [tex]119[/tex] feet.
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A decimal to the hundredths place is greater than 5.58 and less than 5.88.The digit in the tenths place is odd, and the digit in the hundredths place is even. What are all the possible decimals?
The pοssible decimals that satisfy the given cοnditiοns are:5.20, 5.22, 5.24, 5.26, 5.28, 5.60, 5.62, 5.64, 5.66, 5.68, 7.20, 7.22, 7.24, 7.26, 7.28, 7.60, 7.62, 7.64, 7.66, 7.68
What are decimals?Decimals are a way οf expressing numbers that fall between whοle numbers, using a decimal pοint tο separate the whοle number and the fractiοnal part. Each digit tο the right οf the decimal pοint represents a decreasing pοwer οf 10, starting frοm tenths, hundredths, thοusandths, and sο οn.
Since the digit in the tenths place is οdd, it can οnly be 5 οr 7. Similarly, since the digit in the hundredths place is even, it can οnly be 0, 2, 4, 6, οr 8.
Therefοre, the pοssible decimals that satisfy the given cοnditiοns are:
5.20
5.22
5.24
5.26
5.28
5.60
5.62
5.64
5.66
5.68
7.20
7.22
7.24
7.26
7.28
7.60
7.62
7.64
7.66
7.68
Nοte that these are the οnly pοssible decimals that satisfy all the given cοnditiοns.
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write the equation of a line parallel to 12x+8y=-40 through the point (6,-3)
Answer: To find the equation of a line parallel to 12x + 8y = -40, we need to first rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
12x + 8y = -40
8y = -12x - 40
y = -1.5x - 5
So, the slope of the line is -1.5.
Since the line we want is parallel to this line, it will have the same slope, which is -1.5. Now we can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
where (x1, y1) is the point through which the line passes, and m is the slope.
Substituting (6,-3) and -1.5 for x1, y1, and m respectively, we get:
y - (-3) = -1.5(x - 6)
y + 3 = -1.5x + 9
y = -1.5x + 6
So the equation of the line parallel to 12x + 8y = -40 through the point (6,-3) is y = -1.5x + 6.
Step-by-step explanation:
Simplify (6x2 − 3 − 5x3) − (4x3 + 2x2 − 8).
9x^3 + 4x^2 + 5
Explanation:
Let's simplify step-by-step.
6x^2−3−5x^3−(4x^3+2x^2−8)
Distribute the Negative Sign:
=6x^2−3−5x^3+−1(4x^3+2x^2−8)
=6x^2+−3+−5x^3+−1(4x^3)+−1(2x^2)+(−1)(−8)
=6x^2+−3+−5x^3+−4x^3+−2x^2+8
Combine Like Terms:
=6x^2+−3+−5x^3+−4x^3+−2x^2+8
=(−5x^3+−4x^3)+(6x^2+−2x^2)+(−3+8)
=−9x^3+4x^2+5
come up with a model of your function. Explain your process
To model with mathematics is to test ideas using math and computer programs to simulate an object or action.
What do you mean by mathematical modeling?In order to understand a real-life problem, modelling entails developing a set of mathematical equations that accurately reflects a situation.
The model frequently needs to be modified because it does not adequately capture the situation.
By knowing how the system functions, which variables are significant in the system, and how they relate to one another, one can utilise a mathematical model to better understand a real-life situation. Moreover, models can be used to forecast and predict what a system will do in the future or for various parameter values. Finally, a model can be used to estimate variables that are challenging to precisely evaluate.
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20 men working 6 hours a day can finish a work during 10 days. 4 men got seek and didn't work How many hours a day should work other 16 men to finish the work during (a) 10 days? (b) during 15 days?
Answer:
B) 15 days
Step-by-step explanation:
Total Work = (Number of men) x (Hours worked per day) x (Number of days)
Using this formula, we can find the total amount of work to be done in the scenario given in the question:
Total Work = (20 men) x (6 hours per day) x (10 days) = 1200 hours
(a) To find out how many hours a day the remaining 16 men should work to finish the work in 10 days, we need to subtract the work that was not done due to the absence of the 4 men:
Remaining Work = Total Work - Work not done by 4 men
Remaining Work = 1200 - (4 men) x (6 hours per day) x (10 days)
Remaining Work = 840 hours
To finish the remaining work in 10 days, the 16 men would need to work:
Hours per day = Remaining Work / (Number of men) x (Number of days)
Hours per day = 840 / (16 men) x (10 days)
Hours per day = 5.25 hours
Therefore, the 16 men would need to work 5.25 hours per day to finish the work in 10 days.
(b) To find out how many hours a day the remaining 16 men should work to finish the work in 15 days, we need to calculate the total amount of work that needs to be done each day:
Daily Work = Total Work / Number of days
Daily Work = 1200 / 15
Daily Work = 80 hours
To finish the daily work of 80 hours, the 16 men would need to work:
Hours per day = Daily Work / Number of men
Hours per day = 80 / 16
Hours per day = 5 hours
Therefore, the 16 men would need to work 5 hours per day to finish the work in 15 days.
Step-by-step explanation:
subs8biiisowm9bbbs9 to
Two families purchased lunch at a hotdog cart. The first family paid $18.00 for 4 hot dogs and 4 drinks. The second famliy paid $20.00 for 5 hot dogs and 3 drinks.
What is the price, in dollars, of a hot dog? Enter your answer as $0.00
one answer only
Answer:
The price of a hot dog is $2.00
A spinner has 3 equal sections colored blue, orange, and red. Determine the sample space for spinning the spinner two times.
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Blue Red
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Orange Blue
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Red Blue
Red Orange
Orange Blue
Orange Red
The correct sample space is given in option C.
What exactly is a sample space?
In probability theory, a sample space is the set of all possible outcomes or results of an experiment or random phenomenon. It is denoted by the symbol "S". For example, when rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6} because those are the only possible outcomes. The sample space can be finite, countably infinite, or uncountably infinite, depending on the experiment being considered. The concept of a sample space is fundamental to probability theory, as all probabilities of events are defined in terms of the sample space.
Now,
To determine the sample space for spinning the spinner two times, we need to consider all possible outcomes for each spin and then combine them.
For one spin of the spinner, there are three possible outcomes: blue, orange, and red.
For two spins of the spinner, we need to consider all possible combinations of outcomes from the first and second spin. This can be done by creating a table
1st spin 2nd spin
1 blue blue
2 blue orange
3 blue red
4 orange blue
5 orange orange
6 orange red
7 red blue
8 red orange
9 red red
To know more about sample space visit the link
https://brainly.com/question/30206035?referrer=searchResults
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