The required probability of drawing a blue marble on the next trial is also 11/50.
What is Probability?The probability of an event is a figure that represents how probable it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.
According to question:Since the marbles are replaced after each draw, the probability of drawing a blue marble remains the same for each trial. Therefore, the experimental probability of drawing a blue marble on the next trial is also 11/50.
Expressed as a decimal, this is 0.22. Expressed as a percentage, it is 22%.
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This is Trigonometry
A hiker saw a hoodoo on a cliff at Willow Creek in Alberta's badlands. The hiker was 9.1m from the base of the cliff. From that point, the angle between the level ground and the line of sight to the top of the hoodoo was 69°. About how high was the top of the hoodoo above the level ground?
The top of the hoodoo was approximately 25.5 meters above the level ground.
To solve this problem, we can use trigonometry and specifically the tangent function. We can create a right triangle with the hiker, the base of the cliff, and the top of the hoodoo as the vertices. The angle between the level ground and the line of sight to the top of the hoodoo is 69°, which is the angle opposite the height of the hoodoo. The distance from the hiker to the base of the cliff is the adjacent side of the triangle, which is 9.1m.
Using the tangent function, we can set up the following equation:
tan(69°) = height of hoodoo / 9.1m
We can then solve for the height of the hoodoo by multiplying both sides by 9.1m:
height of hoodoo = 9.1m * tan(69°)
Using a calculator, we get:
height of hoodoo ≈ 25.5m
Therefore, the top of the hoodoo was approximately 25.5 meters above the level ground.
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a quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. step 2 of 2 : suppose a sample of 1015 1015 floppy disks is drawn. of these disks, 904 904 were not defective. using the data, construct the 95% 95 % confidence interval for the population proportion of disks which are defective. round your answers to three decimal places.
Therefore, the 95% confidence interval for the population proportion of disks that are defective is (0.8357, 0.9475). This means that there is a 95% probability that the true population proportion of disks that are defective is between 0.8357 and 0.9475.
The quality-conscious disk manufacturer can use a 95% confidence interval to estimate the fraction of defective disks made by the company. The 95% confidence interval is calculated using the sample data to construct an interval estimate of the population proportion.
Using the given data, the sample proportion of disks that are not defective is 904/1015 = 0.8915.
The 95% confidence interval for the population proportion of disks that are defective is then given by:
Lower limit = 0.8915 – (1.96 x √(0.8915 x (1- 0.8915)/1015))
= 0.8915 – (1.96 x 0.0285)
= 0.8915 – 0.0558
= 0.8357
Upper limit = 0.8915 + (1.96 x √(0.8915 x (1- 0.8915)/1015))
= 0.8915 + (1.96 x 0.0285)
= 0.8915 + 0.0558
= 0.9475
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what is 2y-x=-4 in slope intercept form
Answer:
y= -1/2x - 2
Step-by-step explanation:
To change standard form to slope intercept form, bring the -x to the other side of the equation.
You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x
Make y stand on its own. Divide the other side by 2.
You will end up with y= -1/2x -2
Nina owns a condominium where she paid $3,340 in maintenance fees this year. If her property taxes are 15% of this amount, how much did Nina pay in property taxes?
Nina pay in property taxes 501. or \(5.01*10^{2}\).
A property tax, often known as a millage rate, is an ad valorem tax based on a property's value. The tax is imposed by the administrative body of the region where the property is situated. This could be the federal government, a federated state, a county, a region of land, or a municipality. The average effective property tax rate in the Lone Star State is 1.60%, making Texas' property taxes the seventh-highest in the nation. Comparing that to the current 0.99% national average will help. Property taxes in Texas cost the average homeowner $3,797 a year. It is well known that British property owners do not pay property tax. But hold on, it's too soon to celebrate because there might still be taxes to pay.
Based on the given conditions, formulate:
3340*15%
Calculate.
501
Alternative forms.
\(5.01*10^{2}\)
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A(n) ________ is a matrix whose rows correspond to decisions and whose columns correspond to events.
a. decision tree model
b. payoff table
c. utility function table
d. scoring model
A(n) b. payoff table is a matrix whose rows correspond to decisions and whose columns correspond to events. therefore, option b. payoff table is correct.
A payoff table is a decision-making tool used to analyze different alternatives or decisions in a given situation. It is a matrix that lists the possible outcomes or payoffs associated with different combinations of decisions and events. The rows correspond to the different decisions that can be made, and the columns correspond to the possible events or scenarios that could occur.
Each cell in the payoff table contains the payoff or outcome associated with a specific combination of decision and event. The payoffs can be expressed in different forms, such as monetary values, utility values, or scores. Payoff tables are commonly used in decision analysis, game theory, and strategic planning to evaluate different options and select the most desirable course of action.
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In a recent year, 44% of all college students were enrolled part-time. If 8.3 million college students were enrolled part time that year, what was the total
number of college students?
Round your answer to the nearest million
Answer:
19 million
Step-by-step explanation:
8.3M/0.44 = 19million (rounded)
PLEAS HELP ASAP 50 POINTS IF RIGHT: A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 7 feet by 3 feet by 4.8 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.
Given dimensions:
Length = 7 feet
Width = 3 feet
Height = 4.8 feet
Surface Area of each face:
Front and back faces: Length * Height
= 7 feet * 4.8 feet
= 33.6 square feet
Top and bottom faces: Width * Length
= 3 feet * 7 feet
= 21 square feet
Side faces: Width * Height
= 3 feet * 4.8 feet
= 14.4 square feet
Total Surface Area:
2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)
= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet
= 67.2 square feet + 42 square feet + 28.8 square feet
= 137 square feet
Therefore, the total surface area of the bench is 137 square feet.
Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.
Cost per square foot = $0.89
Total Surface Area = 137 square feet
Total cost to cover the bench:
= Cost per square foot * Total Surface Area
= $0.89 * 137 square feet
= $121.93
Therefore, it will cost $121.93 to cover the bench with ceramic tiles.
If f left parenthesis x right parenthesis equals x squared minus 20 and g left parenthesis x right parenthesis equals 4 plus 3 x, then f left parenthesis g left parenthesis short dash 3 right parenthesis right parenthesis
The value of composite function f(g(3)) is 149.
According to the given question.
we have two functions
f(x) = x^2 - 20
And g(x) = 4 + 3x
Then, we have to find composite function f(g(3)).
For this first we will find g(3)
g(3) = 4 + 3(3) = 4 + 9 = 13
Therefore,
f(g(3))
= f(13)
= 13^2 - 20
= 169 -20
= 149
Thereofore, the value of composite function f(g(3)) is 149.
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On Halloween night, Mack collects x pieces of candy and then eats 7 pieces. The next day he eats 10% of his candy pieces and has 63 pieces remaining. How many pieces of candy did he collect on Halloween night?
Building and solving an equation to model the situation, it is found that he collected 78 pieces of candy on Hallowen night.
Initially, he collected x pieces.Ate 7, thus \(x - 7\).On the next day, eats 10%, and has 63 remaining, thus \(x - 7 - 0.1x = 63\)Solving for x, we find how many pieces of candy he collected, thus:
\(x - 7 - 0.1x = 63\)
\(0.9x = 70\)
\(x = \frac{70}{0.9}\)
\(x = 77.8\)
Rounding, he collected 78 pieces.
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CONTEST Each ple entered into the annual pie baking contest has been scored out of 10, as shown in the table.
Answer:
Of your choices, 87.5
Step-by-step explanation:
There may be a formula for figuring this out, but here's what I know how to do to solve this:
First we'll organize the data in ascending order:
3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2
The median is (6.2 + 7.4)/2 = 6.8
The first quartile is (4.5 + 5.7)/2 = 5.1
The third quartile is (8.1 + 8.4)/2 = 8.25
So the 75th percentile is 8.25
Since 9.2 is higher than that, I'd choose 87.5
Mildred's pie scored at the 87.5 percentile.
What is a percentile?'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'
According to the given problem,
Organizing the data in ascending order:
3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2
Median of the given data = \(\frac{6.2+7.4}{2}\)
= 6.8
First quartile = (4.5 + 5.7)/2
= 5.1
Third quartile = (8.1 + 8.4)/2
= 8.25
The third quartile is the 75th percentile,
⇒ 75th percentile = 8.25
Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.
Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.
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This graph shows a proportional relationship.
What is the constant of proportionality?
Answer:
y=40x
Step-by-step explanation:
Answer:40
Step-by-step explanation:
Which ordered pair is a solution of the equation y= -6+1
The equation given is y = -6 + 1. To find a solution for this equation, we need to substitute different values for x and evaluate the corresponding value of y.
However, it seems that there is a typographical error in the equation. The equation y = -6 + 1 simplifies to y = -5. Therefore, the equation does not have any variables or unknowns to solve for.
In this case, any value of y that is equal to -5 will satisfy the equation.
For example, the ordered pair (x, y) = (2, -5) would be a solution, as y is equal to -5. Similarly, (x, y) = (0, -5) or (x, y) = (-3, -5) would also be solutions, as long as y remains equal to -5.
In summary, the equation y = -6 + 1 simplifies to y = -5, and any ordered pair with a y-coordinate of -5 would be a solution to this equation.
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Which expression is equivalent to (2x² + 6x– 3) - (x^2– 2x – 7)?
2nd one, x^2 + 8x + 4
add 2x^2-x^2, 6x+2x, -3+7
PLEASE HELP ITS A TEST!!
Point A = (3, 4) Point B = (11,8)
Find the point on segment AB that is 3/4 of the distance from A to B
Answer:
b
Step-by-step explanation:
please help me I’m so desperate
1/2y - 4 = -8
y=
HELP ME PLEASE I WILL GIVE YOU BRAINLIEST PLEASEEE
Answer:
y = -8
Step-by-step explanation:
1/2y - 4 = -8 (Add 4 to both sides)
1/2y = -4 (Multiply both sides by 2)
y = -8
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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Jaclyn estimates the square root of 50 in the following way:
√75= 3√25 = 3 x 5 = 15
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 75 to the nearest tenth.
Thank you for whoever will help me!!
Answer: (a) Jaclyn's reasoning is incorrect because she used the property that the square root of a product is equal to the product of the square roots. However, this property only holds true for non-negative numbers. In this case, Jaclyn used the square root of 25 to calculate the square root of 75, but 75 is not a perfect square, so its square root is not a rational number.
(b) To estimate the square root of 75, we can use a calculator or simplify the expression by factoring out perfect squares. We can factor 75 as 25 x 3, so
√75 = √(25 x 3) = √25 x √3 = 5√3 ≈ 8.7
Therefore, the square root of 75 to the nearest tenth is approximately 8.7.
Step-by-step explanation:
convert each degree mesures into radians and please guy show a step by step explanation :)
Answer:
degree x π/180 = radian
-----------------------------------------
1) -290° × π/180 = -5.061rad
3) 970° × π/180 = 16.93rad
5) 510° × π/180 = 8.901rad
7) 210° × π/180 = 3.665rad
9) 240° × π/180 = 4.189rad
11) -945° × π/180 = -16.49rad
13) 315° × π/180 = 5.498rad
15) -520° × π/180 = -9.076rad
17) 300° × π/180 = 5.236rad
19) 555° × π/180 = 9.687rad
-------------------------------------------
i hope this helps!
Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
The constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute a value for x and evaluate each expression, the values will not be equal.
Expression 1: \(-0.5(3x+5)\)
Using the distributive property to expand the first expression, we get
\(-0.5(3x+5) = -1.5x-2.5\\\)
Expression 2: \(-1.5x + 2.5\)
Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.
Also, if you substitute a value for x and evaluate each expression, the values will not be equal.
Q. Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
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Answer:Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Step-by-step explanation: sample explanation
Write the equation of the line of the line that passes through the point (3, -6) and a slope of 5
Answer:
y=5x-21
Step-by-step explanation:
I. THE SET OF POINTS ON A PLANE THAT ARE THE SAME DISTANCE FROM A CENTER POINT.
A)Circle
B)Diameter
C)Radius
12 more than m machines
Answer:
m+12
Step-by-step explanation:
m+12
The diagram below is an oblique, or slanted, rectangular prism. Not all angles shown are 90 degrees. Complete the following sentence.
Answer:
Oblique rectangular prism
Is this a statistical question?
"How tall is a palm tree"
Answer:
yes it is a statistical question
You spin each spinner. How many outcomes are possible?
S
R
W
Submit
Answer:10
Step-by-step explanation:
What is the value of 3/8 divided by 9/10
Answer:
0.41666666666
Step-by-step explanation:
Answer:
The value is 5/12
Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
The distance between a negative number and a positive number is 14 1/2. What are the numbers?
Answer: Hope this helps!
Step-by-step explanation:
the negative number is -1
the positive number is 13.5