Answer:
The Seccond One
The spinner below was spun 20 times. The frequency that the spinner landed on each color is shown in the table below. What are the experimental and theoretical probabilities of landing on a red portion.
Work for the experimental probability and the theoretical probability shown. Show work!
A. Experimental: 80%; theoretical: 30.5%
B. Experimental: 8%; theoretical: 8%
C. Experimental: 40%; theoretical: 37.5%
D. Experimental: 30%; theoretical: 62.5%
The required experimental and theoretical probabilities of landing on a
red portion are 40% and 37.5%.
What is Probability?Probability is a way to gauge how likely something is to happen. It is expressed as a number between 0 and 1, where 0 denotes that the occurrence is hypothetical and 1 denotes that it is unavoidable.
According to the given table, eight times out of every twenty spins the spinner landed on the red area.
We can use the following algorithm to determine the experimental likelihood of touching down on a red portion:
Experimental probability is equal to the frequency of the occurrence. (Total number of trials)
Experimental landing chance on a red area is 8/20 = 0.4 = 40%.
We need to know the total number of red portions on the spinner as well as the total number of portions on the spinner in order to compute the theoretical probability of landing on a red portion.
The table shows that there are 8 red sections on the spinner out of a total of 21 portions. As a result, the potential likelihood of touching down on a red area can be determined as follows:(Number of red portions) / (theoretical probability of landing on a red component) (Total number of portions)
Theoretical likelihood of touching down on a red area: 8/21 x 0.381 = 37.5% (rounded to one decimal place)
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The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
12. Create a two-way relative frequency table (in decimals) for the data in Exercise 9. Communication Gender Male Femal e Total Text 150.0 Talk 72.0 36.0 Social Media Apps 28.0 32.0 Total 250.0 150.0 12. Create a two - way relative frequency table ( in decimals ) for the data in Exercise 9 . Communication Gender Male Femal e Total Text 150.0 Talk 72.0 36.0 Social Media Apps 28.0 32.0 Total 250.0 150.0
See below for the steps to the two-way relative frequency table
How to create the two-way relative frequency table?The table of values is given as:
Communication Gender Male Female Total
Text 150.0 82.0 232.0
Talk 72.0 36.0 108.0
Social Media Apps 28.0 32.0 60.0
Total 250.0 150.0 400.0
Start by dividing each cell by the column total
Male Female Total
Text 150.0/250 = 0.6 82.0/150 = 0.55 232/400 = 0.58
Talk 72.0/250 = 0.288 36.0/150 = 0.24 108/400 = 0.27
Social Media Apps 28.0/250 = 0.112 32.0/150 = 0.21 60/400 = 0.15
Rewrite properly as:
Male Female Total
Text 0.60 0.55 0.58
Talk 0.288 0.24 0.27
Social Media Apps 0.112 0.21 0.15
Total 1 1 1
The above represents the two-way relative frequency table
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What is superposition principle explain with example?
The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.
When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.
The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.
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Which of the following arcs are congruent in the circle below?
OA.
Answer:
wx=yz b
Step-by-step explanation:
it means they are the same
a(1)=−13
a(n)=a(n−1)+4
find the 2nd term in the sequence
Answer:
n=2
a(2)= -13(2-1)+4
a(2) = -13(1)+4
= -13+4
= -9
How to solve this step by step n get the answer
Answer:
Answer 1 :-
\(\implies m_1 = -3 \)
\(\implies y - intercept = 7 \)
Answer 2 :-
\(\implies m_1 = -\dfrac{1}{2} \)
\(\implies y - intercept = -4 \)
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
\(\implies y + 3x = 7 \)
\(\implies y + \dfrac{1}{2}x = -4 \)
Now we know the standard equation of slope intercept form , is
\(\implies y = mx + x \)
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
\(\implies y = -3x + 7 \)
\(\implies y = - \dfrac{1}{2}x -4 \)
On comparing to the Standard form ,
Answer 1 :-
\(\implies m_1 = -3 \)
\(\implies y - intercept = 7 \)
Answer 2 :-
\(\implies m_1 = -\dfrac{1}{2} \)
\(\implies y - intercept = -4 \)
write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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Do the following using the given information: Utility function u(x1+x2) = .5ln(x1) + .25ln(x₂) .251 Marshallian demand X1 = - and x₂ = P₂ . Find the indirect utility function . Find the minimum expenditure function . Find the Hicksian demand function wwww
Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²
Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.
The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)
Thus the indirect utility function is undefined.
Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:
Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²
Minimum expenditure function is thus:
Exp = P₁(-) + P₂²
Hicksian demand functions can be derived from the utility function and prices of goods:
H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*
Hicksian demand functions are:
x1** = 2P₁x₂
x₂** = P₂²
If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.
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Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.
Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook
The ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook is 75:50
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Total Recipes= 150
Books have three section: vegetarian dishes, meat dishes, and desserts.
So, vegetarians
= 150 x 1/2
= 75
and, Non vegetarians
= 150 x 1/3
= 50
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Please help ive been on this question for days already!
a. See image of the graph attached below.
b. The relation is a function
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
How to Determine if a Relation is a Function?If every x-value in a relation has exactly one y-value that corresponds to it, then the relation is a function.
A graph that has a U-shape with a minimum, that is the pointed U-shape is downwards, it means the relation has x-values that have exactly one y-value that corresponds to to it, therefore, the relation is a function.
a. To fill out the table, plug in the value of x into y = x² - 6x + 5:
When x = -1:
y = (-1)² - 6(-1) + 5 = 12
When x = 0:
y = (0)² - 6(0) + 5 = 5
When x = 1:
y = (1)² - 6(1) + 5 = 0
When x = 2:
y = (2)² - 6(2) + 5 = -3
When x = 3:
y = (3)² - 6(3) + 5 = -4
When x = 4:
y = (4)² - 6(4) + 5 = -3
When x = 5:
y = (5)² - 6(5) + 5 = 0
When x = 6:
y = (6)² - 6(6) + 5 = 5
When x = 7:
y = (7)² - 6(7) + 5 = 12
Thus, the graph has a minimum of -4.
b. The relation is a function because each x-value has exactly one y-value related to it.
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
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Please help as you can AND CORRECT ANSWERS KNLY PLEASE
In which situation would you most likely round numbers? (A) When you need to measure a precise amount of butter for cake recipe
(B) When you need to find out exactly how many guests are coming to your birthday party
(C) when you need to figure out about how much of a Carton of milk a box of cookies will cost together
(D) when you need to count the number of birthday cards and gifts you receive to be sure you didn’t lose any
Answer:
C
Step-by-step explanation:
its the only one that doesnt say precise or exactly or sure
Answer: C
Step-by-step explanation: when you need to figure out about how much of a Carton of milk a box of cookies will cost together. (You see it says "about" which means get it near the exact point. As for the others it uses words like "precise, exactly, etc".
You are scheduled to receive $15,500 in three years. When you receive it it for seven more years at 9 percent per year. How much will you have in not round intermediate calculations and round your answer to 2 decin 32.16.) to receive $15,500 in three years. When you receive it, you will invest years at 9 percent per year. How much will you have in ten years? (Do ediate calculations and round your answer to 2 decimal places, e.g., Future value
After ten years, you will have approximately $34,448.12.
To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.
Step 1: Calculate the future value after three years.
Future Value after three years = $15,500 * (1 + 0.09)^3
Step 2: Calculate the future value after ten years (three years plus the additional seven years).
Future Value after ten years = Future Value after three years * (1 + 0.09)^7
Let's calculate the future value using the given values:
Future Value after three years = $15,500 * (1 + 0.09)^3
= $15,500 * (1.09)^3
= $15,500 * 1.295029
= $20,045.45
Future Value after ten years = $20,045.45 * (1 + 0.09)^7
= $20,045.45 * (1.09)^7
= $20,045.45 * 1.71899
= $34,448.12
Therefore, after ten years, you will have approximately $34,448.12.
It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.
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In a sale a jacket coating $40 is reduced by 20% what is the sale price?
Answer:
$32
Step-by-step explanation:
Price reduced by 20% = 80% of original price
= 40 x 0.8
= 32
BRAINLIEST.
I NEED IT BAD!
A tree casts a shadow 12 feet long. A 5 ft pole is placed perpendicular to the ground. The length of the pole's shadow is 4 feet. How tall is the tree?.
Answer:
Step-by-step explanation:
find the angle between 5ft and 4ft. .8. Multiple .8 x 12. The tree is 9.6 feet tall
what is -11 + -11 +-11
Answer:
-33
Step-by-step explanation:
-11 + -11 + -11 = -33
-11 x 3 = -33
Hope this helps you :)
Hey there!
ANSWER: \(-33\)EXPLANATION:\(-11+-11+-11\)
If you want to solve, multiply -11 by 3 because it is being multiplied 3 times.
\(-11*3=-33\\-33(ANSWER)\)
Hope this helps!
\(\text {-TestedHyperr}\)
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is __
O 31.6% O 46.3% O 44.5% O43.6%
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.
The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:
Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)
where
P = Sample proportion
Q = 1 - P
n = Sample Size
Z Score is obtained from the Z-Table where the confidence level is given.
To obtain the upper limit, the following formula should be used:
Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)
Substitute the given values of the question into the formula:
P = 114/293 = 0.3891
Q = 1 - 0.3891 = 0.6109
n = 293
The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:
Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]
≈ 0.3891 + 1.645 x 0.0467
≈ 0.3891 + 0.07701
≈ 0.4661 = 46.3%
Therefore, the answer is 46.3%.
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WILL MARK BRAINLY
You have been promoted to assistant manager at Mountain Theaters and have been
given the project of determining which shape option for popcorn (given below) would maximize
profits for the theater. Show your work for determining the volume per price for each shape and
which would be your choice for the best profit option. Use 3.14 = t Show your work and
include correct units.
I
11 in
Popcorn
11 in
POPCORN
$6.50
$6.50
5 in
4 in
7 in
Answer:
sorry idont understand
A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.
A. y = 1/2 x - 2
B. y = 2x +1
C. y = -2x-7
D. y = -1/2 x- 4
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Mr raymond teaches dance he has 18 6th graders students and 24/7 grader students he wants to put the students in equal groups each group will have students of only one grade level how many students should be in each group how many of each group will be there very nice thank you
Using greatest common factor (GCF), Mr. Raymond should put 6 students in each group. If that happens, he will have 3 groups of 6th graders and 4 groups of 7th graders.
The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.
If Mr. Raymond has 18 6th graders students and 24 7th grader students he wants to put in equal groups wherein each group will have students of only one grade level, find the GCF of 18 and 24 to find how many students he will put in each group.
18 : 1, 2, 3, 6, 9, 18
24 : 1, 2, 3, 4, 6, 8, 12, 24
GCF = 6
Hence, he should put 6 students in each group.
Dividing each level of students to groups of 6.
6th graders = 18/6
6th graders = 3 groups
7th graders = 24/6
7th graders = 4 groups
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5 Ahmid used the total number of people who bought a
hot dog and the total number of people who did not
buy a hot dog to make the relative frequency table
below. Does it provide evidence that there is an
association between buying a hot dog and buying a
drink at a baseball game? Explain why or why not.
Drink
No Drink
Total
Hot Dog
70.2%
29.8%
100%
No Hot Dog
38.5%
61.5%
100%
The frequency table shows that there is a relationship between buying a hot dog and buying a drink at a baseball game. The huge 70.2% is evidence of this.
What does the table show?The frequency table is meant to show the relationship between variables. Of all the values provided, the relationship with the highest percentage is 70.2%.
This shows that the number of people who purchased a hot dog while also purchasing a drink constituted the highest number. None of the figures come close to this one. So, there is a strong relationship between the variables.
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Find the square of 4+i
Answer:
1i = 1
4 + i = 4 + 1 = 5
Step-by-step explanation:
hope it's helpful
A business owner wants to have the front window of his store painted and is considering two artists for the job. Martin has quoted a flat rate of $329 for the job. Jared's quote is $46 per hour, plus $53 to cover the cost of materials. Depending on how long it takes Jared to paint the window, these two could end up charging the same amount. How much would it cost? How long would Jared have to take?
artin has offered a flat rate of $329, while Jared charges $46 per hour plus $53 for materials. If Jared takes 6 hours to complete the job, his total cost would be the same as Martin's flat rate of $329.
Let's assume the total time taken by Jared to paint the window is 't' hours. Since Jared charges $46 per hour, the labor cost would be $46t. In addition, there is a fixed cost of $53 for materials. Therefore, the total cost for Jared can be expressed as C = 46t + 53.
To find the time at which the cost is the same as Martin's quote of $329, we set C equal to $329 and solve for t:
46t + 53 = 329
Subtracting 53 from both sides gives:
46t = 276
Dividing both sides by 46, we find:
t = 6
So, for the cost to be the same as Martin's quote, Jared would need to take 6 hours. At this time, the cost would be:
C = 46(6) + 53 = 276 + 53 = $329
Therefore, if Jared takes 6 hours to complete the job, his total cost would be the same as Martin's flat rate of $329.
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(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
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the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age
Answer:
21
Step-by-step explanation:
Since the girls have the same age, let their age be x.
Then, their average is
\(\frac{x+x}{2} = \frac{2x}{2} = x\)
Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)
Also, we have,
\(\frac{S_{8}}{8} =15 - eq(2)\)
\(\frac{S_{6}}{6} =13 - eq(3)\)
Then eq(2):
(from eq(1) and eq(3))
\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)
The average of the other two girls with equal age is 21
I need help please help me!!!
Answer:
-15
Step-by-step explanation:
Multiplying 3 * -5 gives you -15
Answer:
-15
Step-by-step explanation:
divide by 3
you'll should get -15
Help y=__ x+__ i don’t understand
Answer:
Step-by-step explanation:
To conduct a test of hypothesis with a small sample, we make an assumption that?
To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The normal distribution appears as a "bell curve" on a graph.
A probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the usual distribution.To know more about normal distribution........
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Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The solution region is above the line with positive slope, and below the line with negative slope. It will be in the left quadrant of the X made by the crossing lines. The line with positive slope is steeper.