The probability of selecting a black marble, replacing it, then selecting a red marble is 7.0%.
The probability of selecting a yellow marble, not replacing it, then selecting another yellow marble is 2.2%.
The probability of selecting one yellow marble, not replacing it, then selecting a black marble is 15.6%.
There are 10 marbles in the bag, and 7 of them are black.
If we select a black marble and replace it, then there are still 10 marbles in the bag, but now only 6 of them are black and 1 is red.
Therefore, the probability of selecting a black marble, replacing it, then selecting a red marble is:
P(black, then red) = (7/10) × (1/10) = 0.07
P(black, then red) = 7 %
Therefore, the probability of selecting a black marble, replacing it, then selecting a red marble is approximately 7.0%.
P(yellow, then yellow) = (2/10) × (1/9) = 0.0222...
P(yellow, then yellow) = 2.2%
P(yellow, then black) = (2/10) × (7/9) = 0.1556...
P(yellow, then black) = 15.6%
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When conducting a hypothesis test such as the t test, having a larger sample size means that the value of the test statistic would _____________ and the effect size would____________
When conducting a hypothesis test such as the t-test, having a larger sample size means that the value of the test statistic would generally increase, and the effect size would remain the same.
Explanation:
1. A larger sample size provides more data points, which can lead to a more precise estimation of the population parameters.
2. As the sample size increases, the standard error (which is part of the denominator in the t-test statistic formula) decreases. This leads to a larger test statistic value, making it easier to reject the null hypothesis if there is a true effect.
3. The effect size is a measure of the strength of the relationship between two variables, independent of the sample size. Therefore, it does not change with an increase in sample size.
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The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.
The probability that they have a high school degree or some college, but have no college degree is approximately 0.156.
What is probability ?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.
To find the probability that an adult chosen at random has a high school degree or some college, but no college degree, we need to add up the number of people in the "High school only" and "Some college" categories who do not have a Bachelor's or Master's degree.
From the table, the number of people who have a high school degree or some college but no college degree is:
High school only: 568 + 1034 + 823 + 1938 = 4363 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1545
Some college: 1518 + 1837 + 1386 + 2377 = 7118 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1502
So, the total number of adults who have a high school degree or some college, but no college degree is:
1545 + 1502 = 3047
The total number of adults in the town is 19589.
Therefore, the probability that an adult chosen at random has a high school degree or some college, but no college degree is:
3047/19589 = 0.1559 (rounded to the nearest thousandth)
So, the probability is approximately 0.156.
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A scientist measures the heights of sunflower plants. The histogram shows the results. Which statement is correct?
Answer:
B
Step-by-step explanation:
As you can see based on the height of the bands, which are taller on the right side of the page, the data is shifted to the right. As the right side represents taller height, this could make the median (the middle of the data) higher than the mean (the mathematical average)
assume that a graph is represented as an adjacency list with n vertices and m edges. how many comparisons does it take to find a single vertex indegree?
For a graph that represents the adjacency list with vertices and edges, then total ( n- 1) comparisons does it take to determine a single vertex indegree.
In a simple graph with n vertices, the degree of a vertex degrees(v) = n - 1 ∀ v ∈ G. The in-degrees of a vertex V is the number of edges that enter the vertex V.
Outer degree of graph: The outer degree of the V vertex is the number of edges outside it. We have a graph represented as a list with n vertices and m sides. We need to determine the need to compare individual vertices in degrees. The index of the array represents a vertex, and each item in the linked list represents a vertex that forms an edge with the vertex. Mark each vertex by squeezing a one degree, 0 degree node. A vertex can form an edge with any vertex other than itself. So the degree of a vertex will depend on the number of vertices. That is, the expected value is n-1.
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the us defense department needed to know how soldiers were adapting after returning from war. they selected 10% of all iraqi war veterans for a special survey that would closely resemble the composition of all the soldiers (sex, race, age, type of unit, etc.). this type of samples is called
This type of sample is called a Stratified sample if the US defense selected 10% of all Iraqi war veterans for a special survey that would closely resemble the composition of all the soldiers.
Stratified sampling concerns dividing the population size into multiple smaller subgroups or strata types of groups based on certain required characteristics and then selecting the information that is to be extracted from the data.
In the given case, the Selection of Iraqi war people from the survey indicates the composition of the sample size which is determined from a proportion of the population. This is another characteristic of stratified sampling.
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8. Alex found an antique vase that had a starting value of $30,000. The value of the vase increased by the same amount each year. If the value of the vase after 5 years is $36,000, what was the value of the vase 2 years after she found it? O $31,200 O $32,400 O $33,600 O $34,800
Answer:
$32,400.
Step-by-step explanation:
36000 - 30000 = 6000
So it increases every year by 6000/5 = $1200
After 2 years its value is
30000 + 2(1200)
= 32400.
devon has 57 solid-colored disks that are either red, blue, or green. he lines them up on the floor and finds that there are 21 more red disks than green and 12 more green disks than blue. how many red disks does he have?
There are 33 red solid coloured disks with devin among 57 solid coloured disks which are either red, blue or green by solving linear equations.
Let the number of red solid coloured disks be x.
Let the number of blue solid coloured disks be y.
Let the number of green solid coloured disks be z.
Devon has a total of 57 solid coloured disks which are either red, blue or green.
That is in the linear equation form as,
x+ y +z = 57 ___(1)
According to the question it is given that,
There are 21 more red disks than green disks. That is it can be represented in a linear equation as,
x = z + 21 ___(2)
There are 12 more green disks than blue disks. That is it can be represented in a linear equation as,
z = y + 12
⇒ y = z -12___(3)
Putting the values from equation (2) and (3) in the linear equation (1) we get,
(z + 21) + (z -12) + z = 57
⇒ 3z = 57 -9 = 48
⇒ z = 48/3
⇒ z = 12
Therefore, Number of red coloured disks , x = 12 +21 = 33
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Is -13 grater than 12
Answer:
NO
Step-by-step explanation:
-13 is not greater than 12. 12 is larger.
there are 64 teams in a tournament. in the first round, each team will play against another team. how many ways are there to divide the teams into 32 pairs?
Therefore, there are 2,436,686,400 ways of combination to divide the teams into 32 pairs.
To calculate the number of ways to do this, you can use the concept of combinations.
In this case, you can use the formula:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of teams (64) and k is the number of teams in each pair (2).
First, we need to divide the teams into pairs, so there will be 32 pairs in total. To find the number of ways to do this, we can use the combinations formula:
C(64, 2) = 64! / (2!(64-2)!)
C(64, 2) = 64! / (2! * 62!)
Next, we need to multiply this by the number of ways to create the remaining 31 pairs:
=C(62, 2) * C(60, 2) * ... * C(4, 2)
So, the total number of ways to divide the 64 teams into 32 pairs is:
=C(64, 2) * C(62, 2) * ... * C(4, 2) / (32!)
This will give you the number of ways to divide the teams into 32 pairs for the tournament's first round.
(64 x 63 x 62 x ... x 2 x 1) / (2 x 2 x 2 x ... x 2 x 2) = 64! / (2³²)
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Students are designing banners for the school homecoming dance. If one student designs a banner in the shape of a regular triangle with side length 28 inches, what is the area of the banner? Round to the nearest tenth of a square inch.
The area of the banner is 339.5 square inches.
Given that, the shape of a regular triangle with side length 28 inches.
We know that, area of an equilateral triangle = √3/4 ×a²
= √3/4 ×28²
= 339.48
≈ 339.5 square inches
Therefore, the area of the banner is 339.5 square inches.
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Roller Coasters. The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At a = 0.05, is there enough evidence to reject the claim that the mean height of top- rated roller coasters is 160 feet? (Source: POP World Media, LLC)
325 188 306 107 208 167 105 78 140 232 230 170 170 205 305 135 200 200 100 223 135 195 80 90 120 210 82 161 245 88 70 116 121 146 149 124
1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?
5. Interpret the decision in the context of the original claim. (Critical thinking)
6. In three to five sentence explain how and why hypothesis testing is used. Give an example (Communication)
The answers are explained below.
Given that,
sample size (n) = 36
population standard deviation (a) = 71.6
population mean (u) = 160
significance level a = 0.05
1) The Null and alternative hypothesis:
H₀: µ = 160 (claim)
Hₐ: µ ≠ 160
Since the population standard deviation (σ), we use the 'z' test.
2) sample mean (x) = ∑x/n
= 5926/36
= 164.61
Test statistic (2) = (x-µ)/(σ/√n)
= (164.61-160) / (71.6/√36)
= 0.3863
≈ 0.39
3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.
4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.
5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.
6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.
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Please help hurry
Which of the following inferences can be made based on the data? (1 point)
O a
Most members prefer a beach vacation.
O b
Most members prefer an adventure vacation.
• с
O d
More members prefer a cruise vacation and a ski vacation than an adventure vacation.
More members prefer an adventure vacation and a cruise vacation than a beach vacation.
The answer is A: Most members prefer a beach vacation.
What is the sum of the x-intercepts of the function below?
f(x) = 3x² - 11x - 4
O 3 2/3
O -1 1/3
O 1 1/3
O-3 2/3
Que escalas conoces que no sean de Temperatura
Answer:
Weight Scales, Food Scales, Music Scales
Step-by-step explanation:
a tank in the shape of a hemisphere has a radius of 5 feet. if the liquid that fills the tank has a density of 62.7 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 16,425 pounds if the tank is in the shape of a hemisphere and has a radius of 5 feet.
Radius of tank = 5 feet
Density = 62.7 pounds per cubic foot
The hemisphere's volume is calculated by using the formula:
[tex]V = (2/3)*(3.14)r^3[/tex]
V = [tex](2/3)* (3.41)*(5 ft)^3[/tex]
V = 261.8 ft cubic centimeter.
The weight of the liquid is calculated by multiplying volume and density:
W = V × D
W = [tex]261.8 ft^3 * 62.7 lb/ft^3[/tex]
W = 16425.2 lbs.
Therefore we can conclude that the total weight of the liquid in the tank is approximately 16,425 pounds.
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The line shown below are perpendicular. if the green line has a slope of 3/4 what is the slope of the redline
Answer:
-4/3
Step-by-step explanation:
If the green line has a slope of 3/4, then the slope of the red line, which is perpendicular to the green line, is -4/3. The slope of a line perpendicular to another line is the negative reciprocal of the slope of the other line.
Maurice is trying to drink 2. 4 L of water a day she drinks 0. 878 L after breakfast 1. 2 L after lunch and 0. 75 L after dinner how much did she drink all together?
From the addition operation, the total quantity of water she drink all together by considering all time quantity is equals to the 2.828 Litres .
Addition is one of the basic method of Arithmetic operations. It is used to taking the total of all things it may be numbers, etc. Now, here Maurice has wish to drink more water. She is trying to drink 2. 4 Litres of water in one day. Quantity of water she drinks after breakfast = 0.878 Litres
Quantity of water she drinks after lunch
= 1.2 Litres
Quantity of water she drinks after dinner = 0.75 Litres
We have to determine the quantity of water she drink all together. For this we can use the Addition Operation. As we have total water Quantity that she drinks in whole day. So, total quantity
= 0.878 Litres + 1.2 Litres + 0.75 Litres
= 0.878 Litres + 1.95 Litres +
= 2.828 Litres
Hence, required value is 2.828 Litres.
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Helpppppppppppp meeeeeeeeeeeeeeeeee
Select all that are undefined.
The expressions csc(π), cot(π/2), cot(π), csc(0°), and sec(90°) are undefined.
Since the sin(π) is 0, the calculation csc(π) results in division by zero, which is undefinable.
Due to the infinite tangent of π/2, cot(π/2) results in division by zero, making it undefinable.
Due to the infinite tangent of π, cot(π) divides by zero and is hence undefinable.
Since the sine of 0° is zero, csc(0°) is undefined since it divides by zero.
Since the cosine of 90° is zero, sec(90°) results in division by zero, which is an undervalue.
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The density of Copper is 9. 86 g/cm3 work out the mass of the solid copper cuboid in kg
The mass of the solid copper with a density of 9.86g/cm³ and dimensions of 5cm x 3cm x 10cm is 1.479kg.
To calculate the mass of the solid copper, we need to use the formula
mass = density x volume
First, let's calculate the volume of the solid copper
volume = width x height x depth = 5 cm x 3 cm x 10 cm = 150 cm³
Now, we can plug in the values we have
mass = density x volume = 9.86 g/cm³ x 150 cm³ = 1479 g
To convert grams to kilograms, we divide by 1000
mass in kg = 1479 g / 1000 = 1.479 kg
Therefore, the mass of the solid copper is 1.479 kg.
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The given question is incomplete, the complete question is:
The density of copper is 9.86g/cm[cubed] work out the mass of the solid in kg
width is 5cm
height is 3cm
depth is 10cm
Jacobi Duarte
Family, Non-network
Co-payments:
22 physician visits
12 specialist visits
25 physical therapy appointments at $55 each
1 ER visit
Hospital charge of $15,600
The total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600
How to solveTo solve this problem, we first need to calculate the total amount spent on each type of medical service.
For 22 physician visits at a cost of $P each, the total cost is: 22 * $P
For 12 specialist visits at a cost of $S each, the total cost is: 12 * $S
For 25 physical therapy appointments at $55 each, the total cost is: 25 * $55 = $1,375
For 1 ER visit at a cost of $E, the total cost is: $E
The hospital charge is $15,600.
With this, the total medical bills can be calculated:
Therefore, the total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600
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Jacobi Duarte has a non-network family health insurance plan, which requires co-payments for various medical services. Over a certain period, Jacobi has made the following co-payments:
22 physician visits
12 specialist visits
25 physical therapy appointments at $55 each
1 ER visit
Hospital charge of $15,600
Find the total amount that Jacobi Duarte has spent on medical expenses?
There are 4 tulips and 9 daffodils in a flower bed. Write the part-to-whole ratio that compares daffodils to total flowers
Answer: 9:13
Step-by-step explanation:
4+9= 13
so our total is 13, and there are 9 daffodils
Marco and two of his friends are going to share of a pizza. How much will each person get?
A. 1/6 of the pizza
B. 2/3 of the pizza
C. 1/12 of the pizza
D. 1/9* of the pizza
the function y =f is graphed below what is the average rate of change of the function f(x) on the interval 2
The average rate of change of function f(x) on the interval 2 is equal to 1.
To find the average rate of change of function f(x), on the interval 2<x<7, we need to use the given formula:
the average rate of change of function f(x) = change in 'y' / change in 'x'
After selecting any two points that lie on the graph on the interval 2<x<7 we can find the change in y and the change in x.
Here we are using the points (2, f(2)) and (7, f(7)).
We can see that the value of y at x=2 is 1 and at x=7 is 6,
Substituting the values in the formula we get:
The average rate of change of the function f(x) = (6-1)/(7-2).
The average rate of change of the function f(x) = 5/5 = 1.
Hence the average rate of change of function f(x) is equal to 1.
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assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $5,062 per hour and a standard deviation of $392. what is the operating cost for the lowest 5% of the airplanes? (round your z-value to 2 decimal places and final answer to the nearest whole dollar.
The operating cost for the lowest 5% of the airplanes is approximately $4,381 (rounded to the nearest whole dollar).
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the lowest 5% of the distribution is approximately -1.64.
[tex]z = (x - \mu) / \sigma[/tex]
where:
x = operating cost we want to find
μ = mean hourly operating cost = $5,062
σ = standard deviation = $392
z = -1.64
Plugging in the values, we get:
-1.64 = (x - 5062) / 392
Solving for x, we get:
x = -1.64 * 392 + 5062
x ≈ $4,381.28
Operating cost refers to the expenses incurred by a business or organization in the course of its regular operations. It includes all the expenses required to maintain and sustain the production of goods or services, but excludes one-time capital expenditures like the purchase of property or equipment. Some common examples of operating costs include rent, salaries and wages, utilities, supplies, maintenance and repair, insurance, taxes, and marketing expenses. These costs are ongoing and necessary to keep the business running on a day-to-day basis.
Operating costs are important because they impact the profitability of a business. In order to remain competitive and profitable, businesses need to minimize their operating costs while maximizing their revenue. By carefully managing operating costs, businesses can improve their bottom line and invest in growth opportunities.
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a clinical trial is conducted to compare an experimental medication designed to lower cholesterol to a placebo. three hundred people were randomized to receive the experimental medication and three hundred people were randomized to receive the placebo. subjects were followed for five years and monitored for developing serious heart problems. does the proportion who developed heart problems differ between the two treatment groups? run the test at a 5% level of significance.
Assuming the sample sizes are large enough, a two-sample z-test can be used with a significance level of 0.05.
To determine whether the proportion of individuals who developed heart problems differs between the experimental medication group and the placebo group, a hypothesis test can be performed.
Let p1 be the proportion of individuals who developed heart problems in the experimental medication group, and p₂ be the proportion in the placebo group. The null hypothesis is that the difference in proportions is equal to zero (i.e., p₁ - p₂ = 0), and the alternative hypothesis is that the difference in proportions is not equal to zero (i.e., p₁ - p₂ ≠ 0).
Using the given information, we can calculate the sample proportions, denoted by p₁ and p₂. Let x₁ be the number of individuals who developed heart problems in the experimental medication group, and x₂ be the number in the placebo group. Then:
p₁ = x₁/n₁
p₂ = x₂/n₂
where n₁ and n₂ are the sample sizes in the experimental medication and placebo groups, respectively.
Assuming the null hypothesis is true, the test statistic can be calculated using:
z = (p₁ - p₂) / √(p(1 - p) * (1 / n₁ + 1 / n₂))
where p is the pooled sample proportion, calculated as:
p = (x₁ + x₂) / (n₁ + n₂)
Using a standard normal distribution, the critical value for a two-tailed test with a significance level of 0.05 is ±1.96.
If the calculated test statistic falls outside the critical region (i.e., less than -1.96 or greater than 1.96), then we reject the null hypothesis and conclude that there is a significant difference between the two proportions. Otherwise, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in proportions.
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Each side of a square office is 9 feet long. What is the office's area?
Answer:
81 square feet
Step-by-step explanation:
Area for square = side * side
= 9*9 = 81
Find the equation of a hyperbola with center at (21,- 17) and a conjugate
axis that is parallel to the x-axis, with a length of 14 and focus located at
(21,8).
Show your steps to how you came to the answer.
The equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1
How to explain the equationThe equation of a hyperbola with center at (k) and a conjugate axis that is parallel to the x-axis, with a length of 2b and fucus located at Otok) is given by:
where a + b'c' and c is the distance from the center to each focus.
In this case, the center is Q1,-17) and the focus is Q,18). The distance between the center and the fucus is c = ✓(21-27 + (-17-18)
In conclusion, the equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1
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A store owner discounted some DVD players from $64 to $32. What percentage is the
discount?
Write your answer using a percent sign (%).
Answer:
Step-by-step explanation:
To find the percentage discount, we need to find the amount of discount first.
Discount = Original Price - Discounted Price
Discount = $64 - $32 = $32
The percentage discount is then:
Percentage Discount = (Discount / Original Price) x 100%
Percentage Discount = (32 / 64) x 100%
Percentage Discount = 0.5 x 100%
Percentage Discount = 50%
Therefore, the discount is 50%.
Answer: it's 50%.
$64 - $32 = $32
(32 / 64) x 100%
0.5 x 100%
50%.
so it's 50%
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