There is not sufficient evidence to conclude that some exhibits are less popular than others.
How to test the hypothesis?We are going to test if all the animals are equally as likely to be seen, or if some are more likely than another, hence a goodness of fit test is made, using the chi-square distribution.
The test statistic for the chi-square distribution is given as follows:
Chi-squared = sum ((O - E)²/E)
In which:
O is the observed measure.E is the expected measure.The total number of measures in this problem is given as follows:
133 + 172 + 163 + 165 + 134 + 155 + 148 = 1070.
There are seven types of animals, hence the expected value is obtained as follows:
E = 1070/7 = 152.86.
The critical value is obtained with a chi-square calculator, for a two-tailed test, with 7 - 1 = 6 df and a significance level of 0.1, hence it is of:
Chi squared = 10.64.
Hence the conclusion will be reached as follows:
Chi-squared < 10.64 -> not enough evidence to conclude that some exhibits are less popular than others.Chi-squared > 10.64 -> enough evidence to conclude that some exhibits are less popular than others.The test statistic is calculated as follows:
Chi-squared = 1/152.86 x [(133 - 152.86)² + (172 - 152.86)² + (163 - 152.86)² + (165 - 152.86)² + (134 - 152.86)² + (155 - 152.86)² + (148 - 152.86)²]
Chi-squared = 9.13.
Less than the critical value, hence there is not sufficient evidence to conclude that some exhibits are less popular than others.
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PLEASE HELP ILL HIVE BRAINIEST Question 1 of 5
How many solutions does 8+ = -4+2 have?
OA. One solution
OB. Two solutions
OC. Infinitely many solutions
OD. No solutions
SUBMIT
Answer:
D) no solution
Step-by-step explanation:
since 4+2= 6 but there no solution s because 8+? might not equal the same number as 4+2
2. Gabriel has 8 ¾ pizzas to distribute at a class party. The pupils ate 5 ⅞ pizzas. What fraction of the pizzas remained? (30 points)
Answer:
2 7/8
Step-by-step explanation:
8 3/4= 8 6/8 = 7 14/8
14/8-7/8= 7/8
7-5=2
2 7/8
Janelle earned 80% on a test and got 64 points.
1) How many total points were possible on the test?
Answer:
80
Step-by-step explanation:
To solve, we need to find what number 64 is 80% of. To do so, we need to solve the equation [tex]\frac{100}{80}[/tex] x 64. This gives us the answer, 80.
on a control chart, what separates sample points indicating common causes of variation from those indicating assignable causes of variation?
The control limits help to separate common and special causes from each other.
What are control limits?Control lines are the horizontal lines drawn on the control chart. A control chart has several components. It has two control limits. They are represented by dashed lines. The lower one is called the lower control limit (LCL) and the upper one is called the upper control limit (UCL).
The control limits help us mark the highest (by UCL) and lowest (by LCL) error that is bearable. All those errors that occur between UCL and LCL are common errors/variations while the errors that occur above UCL or below LCL are the products with assignable causes variations.
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Triangle ABC Has the verties of A(0,-3) B(2,-1) and C(-3,-3). What is A' B' and C'? *Reflect on the x axis.
The coordinate of the triangle after reflection are; A'(0,3), B'(2,1) , C'(-3,3)
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
We are given that Triangle ABC Has the verties of A(0,-3) B(2,-1) and C(-3,-3).
The transformation for reflection across the x-axis is;
(x, y) ⇒ (x, -y) . . . reflection across the x-axis
Then we have;
A(0, -3) ⇒ A'(0, 3)
B(2,-1) = B'(2,1)
C(-3,-3) =C'(-3,3)
Therefore, The coordinate of the triangle are;
A'(0,3), B'(2,1) , C'(-3,3)
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magdalena left out a statement from the proof shown. which statement is best explained by the alternate exterior angles theorem?
The statement which is best explained by the alternate exterior angles theorem is ∠1 ≅∠2.
What do you mean by angles?
When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
We know that, alternate exterior angles theorem states that, when two parallel lines are cut by a transversal line, the resultant exterior angles are congruent.
∠1 and ∠2 are both alternate exterior angles.
Therefore, the correct answer for the following problem is ∠1 ≅∠2.
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what is:
1+1?
please give a step by step explanation and I will give brainly
Answer:
2
Step-by-step explanation:
count your fingerssssssssssssd
The bottom
part please I am really struggling
The relationship (comparison) between the measures in the specified angles found using the angle–side triangle inequality shows the following inequalities between the angles
m∠QRW < m∠RWQ
7. m∠RTW < m∠TWR
m∠RST > m∠TRS
9. m∠RWQ < m∠QRW
What is the angle–side triangle inequality?The angle–side triangle inequality indicates that in a triangles, the larger the angle of a triangle, the larger is the side opposite the angle.
Similarly, the larger the side length of a side of a triangle, the larger is the angle opposite the specified side.
Based on the angle-side triangle inequality, we get;
∠QRW is the angle opposite to the side of length 45 units, and ∠RWQ is the angle opposite the side of length 47 units.
Therefore; m∠QRW < m∠RWQ
7. In triangle ΔRTW, ∠RTW is the angle opposite to the side of length 34 units, and ∠TWR is the angle opposite the side of length 35 units.
Therefore; m∠RTW < m∠TWR
In triangle ΔRST, ∠RST is the angle opposite to the side of length 35 units, and ∠TRS is the angle opposite the side of length 22 units.
Therefore; m∠RST > m∠TRS
9. In triangle ΔQRW, ∠RWQ is the angle opposite to the 47 unit long side and ∠QRW⇔ is the angle opposite the side of length 45 units.
Therefore; m∠RWQ > m∠QRW
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i need help pleaseeeeee
The value of x, the distance from the base of the roof to the top of the roof is 8 feet.
What is Pythagorean theorem?
The Pythagorean theorem, also known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.
Given: The roof of a patio is in the shape of triangle.
We have to find the distance x from the base of the roof to a top of the roof.
Let the base of the roof is divided into two parts by the line x.
The half distance is 15 feet.
The triangle made is a right angle triangle.
So we can we the Pythagorean theorem to find the value of x.
By the Pythagorean theorem,
x^2 + 15^2 = 17^2
x^2 + 225 = 289
x^2 = 289 - 225
x^2 = 64
x = 8
Hence, the value of x, the distance from the base of the roof to the top of the roof is 8 feet.
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The owner of a sandwich shop surveyed her customers on how often they came in, which sandwiches they preferred, and what quantity of sandwiches they ordered. She then added up the quantities demanded by all her consumers at each price. What did she create?.
The owner of a sandwich shop surveyed her customers on how often they came in as she also added the quantity this means that she had created marketing demand schedule.
The call for agenda indicates the variety of products customers will purchase at a given fee. An instance of this will be film ticketseconomics, a marketplace call for agenda is a tabulation of the amount of an awesome that each one customers in a marketplace will buy at a given fee. At any given fee, the corresponding cost at the call for agenda is the sum of all customers' portions demanded at that fee.
Demand schedules may be used to are expecting the quantity of cloth important primarily based totally at the fee of a product. If the call for agenda predicts that the amount demanded rises because the fee decreases, the enterprise may also want extra elements to provide extra products.
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The Freshman class at Cypress Bay High School and the sophomore class planned a trip to Boston. The freshman class rented and filled 1 van and 6 buses with 372 students. The sophomore class rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van hold?
How many students can a bus hold?
The Bus can hold 59 students and van can hold 18 students.
How to illustrate the equation?The freshman class rented and filled 1 van and 6 buses with 372 students. This can be illustrated as:
v + 6b = 372 .... i
The sophomore class rented and filled 4 vans and 12 buses with 780 students. This can be illustrated as:
4v + 12b = 780 ... ii
where v = van.
b = bus
v + 6b = 372
4v + 12b = 780
Reduce equation ii by 2. The new equations will be:
v + 6b = 372
2v + 6b = 390
Subtract
v = 18
The van can hold 18 students
Since v + 6b = 372
This will be:
18 + 6b = 372
6b = 354
b = 59.
Bus can hold 59 students.
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In circle E with m/DEF = 60°, find the m/DGF.
کے
G
E
F
D
Answer: its the 3 anwers
Step-by-step explanation:
0. a college basketball player makes 80% of his free throws. among 100 attempts over the season, what is the probability he makes at least 90 free throws? (use normal approximation with no continuity correction).
The probability is 0.0062. This is calculated using the normal approximation to the binomial distribution, with mean μ = 80 and σ = 9.
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
1. Calculate the mean (μ): μ = 80
2. Calculate the standard deviation (σ): σ = 9
3. Calculate the z-score for 90 free throws: z = (90-80)/9 = 1
4. Calculate the probability using the z-score: P(x≥90) = 1 - P(x<90) = 1 - 0.8413 = 0.1587
5. Round the probability to four decimal places: P(x≥90) = 0.0062
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How do you write a linear function step by step?
The following two methods are used to write a linear function;
1. Write linear functions from graph
2. Write linear equation from slope and ordered pairs
Given,
Steps to write linear functions;
The slope and the y-intercept are the two pieces of data required to build a linear function. Once these two variables have been established, you can replace m and b with them in the slope-intercept equation y = mx + b.
There are two methods;
1. Write linear functions from graph
By monitoring the linear function's rise and run, determine the slope.Determine the point at which the function crosses the y-intercept to determine the y-intercept.Replace the function with the slope and y-intercept f(x) = mx + b2. Write linear equation from slope and ordered pairs;
We only have half the information if we are provided the slope and an ordered pair. Although we now know the slope, we still need to determine the y-intercept. The following steps can be used to calculate this using the slope-intercept form:
By putting the slope and ordered pair (input, output) into f(x) = mx + b and solving for b, one can determine the y-intercept.Slope and y-intercept should be substituted into the equation f(x) = mx + b.
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A county planner prepares the following table showing population trends in three local towns. The first column gives the name of the town. The second column gives the population as of the last census. The third column gives the estimated increase or decrease in population since that census, expressed as a percentage of the previous population.
a. Choose one of these towns. Use the second and third columns to write two expressions showing the current estimated population of the town in terms of x, y, or z.
b. For whichever town you chose in part (a), let the census population be 6,742 people. Based on the percentage change for that town, calculate the estimated current population, rounding to the nearest whole number if needed. Be sure to show your work.
a) The estimated population for each town is given as follows:
Pleasantville: 0.98x.Amity Center: 1.05y.Harmony Corners: 1.07z.b) The current population of Harmony Corners is of: 7,214.
How to obtain the expressions?The expression are found applying the proportions in this problem, given from the percent change in the table.
The multiplier for each expression is given as follows:
Pleasantville: 0.98, as decrease of 2% means that the population is 2% of what it was in the last census.Amity Center: 1.05, as the increase of 5% means that the population 105% of what it was in the last census.Harmony Corners: 1.07, as the increase of 7% means that the population 107% of what it was in the last census.Supposing that the population of Harmony Corners was of 6,742 on the Census, we have that:
z = 6742.
Hence the current population is of:
1.07 x 6742 = 7,214.
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A tore i intructed by corporate headquarter to put a markup of67% on all item. An item coting $6 i diplayed by the tore manager at a elling price of $4. A an employee, you notice that thi elling price i incorrect. Find the correct elling price. What wa the manager' likely error?
Correct selling price = $10
What is selling price?
The selling price of an item is the price at which it is purchased. For instance, $10 would be regarded as the umbrella's selling price if Neil sold the identical umbrella for that sum. It is referred to as S.P.
Based on given conditions formulate:
= 6(1+67%)
= 6(1.67)
= 10
correct selling price = $10
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anyone help me with this
In sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is where the term "angle" originates.
The meeting of two planes also creates angles.
We refer to these as dihedral angles.
So, as we can see that ∠Z and ∠D are equal:
Let, 's assume that x is 30 as given is an option (B).
Then, ∠Z and ∠D are 45°.
Which will make ∠ZHD a 90°.
Which will automatically make ∠AHD a 90°.
And, hence ∠AHD will not be 30°.
Therefore, in a sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.
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PICTURE
Finding Cube Roots
Evaluate the expression.
What is -9 + (-11) 4?
Answer:
PEmDas so -53Step-by-step explanation:
Answer:
-53
Step-by-step explanation:
-9 + (-44)
-9 - 44
- 53
How do you find the equation of a function given a table?
Mathematical equations are essentially relationships. A line equation describes the relationship between x and y values found on a coordinate plane.
Firstly understand the values in the table. The numbers in a table are often the x and y values that are true for the line, which means the x and y values correspond to the coordinates of points on the line.
Then we need to determine the slope. We can do this by taking two points from the table and plugging them into formula.
Next we need to find the y-intercept. To do this, we need one point from the table to plug into our function.
Once you find the value of the slope, plug it into the the slope-intercept form of the line. The result is the function that describes the relationship in the given table of values.
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Which of the following is an example of a cause-and-effect pairing of events that occurred during the 1920s?
HURRY FIRST PERSON GETS BRAINLIEST two sides of a triangle measure 8 inches and 10
inches, respectively. Which of these is NOT a possible
length for the third side of a triangle?
Circle one answer:
A) 12 inches
B) 16 inches
C) 17 inches
D) 18 inches
Answer:
D
Step-by-step explanation:
The sum of the length of any 2 sides is greater than the length of any 3rd side
10+8 = 18, so D is not possible
The assets and liabilities of a doctor are listed below.
Home Value $589,674
Mortgage $99,408
Credit Card Balance $8,057
Owned Work Equipment $51,797
Car Value $61,182
Investments $59,090
Personal Loan $76,348
What is the total value of the doctor's capital assets?
$51,797
$61,182
$589,674
$702,653
Answer:
702,653
Step-by-step explanation:
but the real total added up is 945,556
The assets and liabilities of a local surf shop are listed below.
Building Mortgage $109,850
Other Debt $35,988
Accounts Receivable $10,760
Property Value $162,974
Long Term Investments $238,000
Small Business Loan $62,700
Long Term Liabilities $38,000
Owned Inventory $72,980
Cash $215,083
Savings Account $128,721
Owned Equipment $30,971
The surf shop owner receives notice that the property value has increased by $20,000. What is the net worth of the surf shop?
$859,489
$879,489
$612,951
$632,951
The net worth of the surf shop is $859,489
How to prepare a balance sheet?We know that a balance sheet is the summary of the assets and liabilities of the legal person.
The balance sheet appears thus:
Assets: $
Building mortgage 109,850
Accounts receivable 10,760
property value 182,974
Long term investment 237,000
Owned inventory 72,980
cash 215,083
Savings account 128,721
Equipment 30,971
Liabilities
Debt 35,988
Long term liability 38,000
Small business loan 62,700
Difference in assets and liabilities = $859,489
Therefore, the net worth of the surf shop is $859,489
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100 POINTS PLEASEEEE HELP An export is a good or service sent out of a country into another country. A factory in the Philippines makes clothing to send to a vendor in Canada. Which country is exporting?
A. both
B. Canada
C. Philippines
Answer:
Option C is the correct answer.
Step-by-step explanation:
There are two terms in business
ImportExportImport:Bring (goods or services) from another country.Export:Send (goods or services) to another country.So,
In this case, Philippines is doing exporting and Canada is doing Importing.
Thus, The answer is Philippines.
An outdoor staircase has a total vertical elevation of 24 feet from the road level to the first floor. The 1st floor to the 2nd floor is also 24 feet. If the angle of elevation is 37 degrees and the landing of each step is 13 inches, answer the following question showing each step of your work.
A. What is the vertical rise per step (in inches rounded to the nearest inch)
B. Find the number of steps needed to climb from road level to the 2nd floor
a) The vertical rise per step is of 18.1 feet.
b) The number of steps needed to climb from road level to the 2nd floor is of: 3 steps.
How to obtain the rise?The rise is obtained applying the slope concept, as follows:
Rise = Total elevation x Tangent of Angle.
The parameters are given as follows:
Total elevation = 24 feet.Angle: 37 degrees.Then the rise per step is calculated as follows:
Rise = 24 x tangent of 37 degrees = 18.1 feet.
The total vertical elevation needed to reach the second floor is given as follows:
24 + 24 = 48 feet.
Then the total number of steps needed to climb to the 2nd floor is found applying the proportion, as follows:
48/18.1 = 2.65 steps.
Rounding up, 3 steps are needed.
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $5000 to rent trucks, and it will cost an additional $200 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:We can write the following equation.
C = 5000+200S
where C is cost and S = sugar transported in tons.
Plot is given in attached fig.
Step-by-step explanation:
Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number lauryn grew. Kent grew 6 more than 4 times the number lauryn grew. Select all the expressions which represent the total number of tomato plants that lauryn, padma, and kent grew.
Answer: A. p + (3p – 5) + (4p + 6)
Step-by-step explanation: Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1
question 141 pts in estimating a population proportion using a large sample, the value of is assumed to be 0.35, and its 95% error margin is 0.02. find the sample size to meet the error margin.
The sample size to meet the error margin is 2185.
What is the error margin?
The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
Here, we have
The sample size (n) is calculated according to the formula:
n = p(1 - p) (z²/ e²)
Where:
z = 1.96 for a confidence level (α) of 95%, p = proportion, e = margin of error.
z = 1.96, p = 0.35, e = 0.02
n = 0.35(1 - 0.35) (1.962/ 0.022)
n = (0.2275)(9604)
= 2184.91
n ≈ 2185
Hence, the sample size meets the error margin is 2185.
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A food truck sells two types of food: a hot dog for 6$ and a hamburger for 8$. Yesterday, the food truck sold a total of 106 tickets for a total of 1106$.
Write the equations to find the number of hot dogs and hamburgers sold. Let be the number of hot dogs sold and be the number of hamburgers sold.
The minimum revenue by selling tickets will be $363 thus there will be no solution.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Suppose x is the number of hot dogs sold and y is the number of hamburgers sold.
As per the given,
hot dog for 6$ and a hamburger for 8$
6x + 8y = total cost
6x + 8y = 1106
Total x + y = 106
By substitution,
6(106 - y) + 8y = 1106
636 - 6y + 8y = 1106
2y = 470
y = 235
And, x = -129
Since the number cannot be negative thus it will be an incorrect question.
Hence "There won't be a solution because the minimum revenue from ticket sales will be $363.".
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