Answer: The appropriate hypotheses for this significance test are:
Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.
Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.
The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.
Step-by-step explanation:
find the area of the shaded regions.give your answer as a completely simplified exact value in terms of \pi (no approximation). A= cm^2, P= cm
The area of the shaded circular region is given as follows:
18π cm².
How to obtain the area of the shaded region?The shaded region is part of a circle, hence the area of the circle has to be obtained.
The area of a circle of radius r is given by the multiplication of π and the square of the radius, as follows:
A = πr².
The radius of the circle in this problem is given as follows:
r = 9 cm.
Hence the area of the entire circle for this problem is given as follows:
A = π x (9)² = 81π cm².
The shaded region corresponds to an angle of 80º, while the entire circumference corresponds to an angle of 360º, hence the area of the shaded region is obtained as follows:
A = 80/360 x 81π = 18π cm².
Missing InformationThe figure is given by the image presented at the end of the answer.
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What are two possible transformations that together could have been used to create the red figure from the blue figure?
mc023-1 (see picture for graph )
A. a translation of 2 units up followed by a translation of 4 units right
B. a rotation of 90 degrees counterclockwise about the origin followed by a translation of 2 units up
C. a reflection across the y axis followed by a translation of 2 units up
D. a translation of 2 units up followed by a reflection across the x axis
Answer:
(c) a reflection across the y-axis followed by a translation 2 units up
Step-by-step explanation:
You want to know transformations that will give the red figure from the blue one.
ObservationThe red figure is reversed left-to-right with respect to the blue figure, so a reflection across a vertical line is required. The only answer choice that has such a reflection is ...
C. a reflection across the y axis followed by a translation of 2 units up
ms. young, a special education teacher, is teaching kim, a 13-year-old with multiple disabilities, how to identify each us coin (penny, nickel, dime, quarter). every day, ms. young gives kim 15 random coins to identify. with the help of a chart showing each coin and its name, kim is asked to identify each coin. the results after one week of instruction are shown below. day number of coins identified correctly monday 7 tuesday 4 wednesday 5 thursday 4 friday 2 based on this data, what should ms. young do next?
Ms. Young should use the data to decide on her next steps.
What is data in math?Data in math is any information that is used to make decisions and/or can be used to analyze patterns. It can be numerical, such as statistics, or qualitative, such as observational data. Data can be collected in various ways, including surveys, experiments, and observations. Data can also be represented graphically, such as in charts or diagrams, to help better illustrate the patterns or trends it may contain. Data is often used in the context of problem solving and decision making and is a key element in the scientific method.
She should identify the areas of difficulty for Kim, where she is having trouble identifying coins. She should then design lessons that focus on these areas, providing more practice on identifying coins. Using a variety of instructional strategies, such as hands-on activities, games, and visual aids, can help Kim to better understand the differences between the coins and increase her accuracy. Additionally, Ms. Young should provide more frequent feedback to Kim on her performance to ensure that she is making progress. Finally, Ms. Young should consider decreasing the number of coins presented to Kim each day, to give her more time to practice and increase her accuracy.
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solve for the rate (as a %). round to the nearest tenth of a percent when necessary. what is the rate if the base is $23,500 and the portion is $6,227.50?
Rate of the given base $23,500 and the portion $6227.50 is equal to 26.5 percent ( nearest tenth ).
As given in the question,
Given base of the required rate is equal to $23,500
Portion of the given base used is equal to $6227.50
Formula to calculate the rate percent is given by :
Rate percent = [(Portion of the given base used) / ( Base) ] × 100
Substitute the value in the formula we get,
⇒ Rate percent = ( 6227.50 / 23,500 ) × 100
⇒ Rate percent = 26.5%
Therefore, rate percent of the given base and the portion used is equal to 26.5%.
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The two rectangles are similar. Use a proportion to find the missing side.
Answer: 9 cm
Step-by-step explanation: Let's create a proportion. 20/50 = x/22.5. Using cross-multiplying, we get 22.5 x 20 = 50 times x. We can simplify this equation to get 450 = 50x. To get x by itself, we divide both sides of the equation by 50, leaving us with 9 = x, or 9 cm
(Variance of a linear combination) Let X,Y be random variables and a,b,c be constants. Show that: var (aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y) (Hint: write the variance as a covariance and use bilinearity twice)
To show that var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X, Y), we can start by using the definition of variance, which is var(X) = E[(X - E[X])^2], and the definition of covariance, which is cov(X, Y) = E[(X - E[X])(Y - E[Y])].
Variance is a measure of the spread of a random variable's possible values. It is defined as the expected value of the squared deviation of a random variable from its mean. For a random variable X, the variance is denoted as Var(X) or σ^2(X) and is calculated as:
Var(X) = E[(X - E[X])^2]
Using these definitions, we can write:
var(aX + bY + c) = E[(aX + bY + c - E[aX + bY + c])^2]
Using the properties of expectations and bilinearity, we can simplify this to:
var(aX + bY + c) = E[(a(X - E[X]) + b(Y - E[Y]))^2]
Expanding the square and using bilinearity again, we get:
var(aX + bY + c) = a^2 E[(X - E[X])^2] + b^2 E[(Y - E[Y])^2] + 2ab E[(X - E[X])(Y - E[Y])]
Since the expectations of (X - E[X])^2 and (Y - E[Y])^2 are equal to var(X) and var(Y) respectively, we can substitute these values into the above equation to get:
var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y)
Therefore, we have shown that var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y)
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A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes
Answer:
18, 16, 22, 14, 17, 19, 15, 19, 22 add and divide by 9 = 17 feet
Step-by-step explanation:
the height of a cylinder is increasing at a constant rate of 9 inches per second. the volume remains a constant 1318 cubic inches. at the instant when the radius of the cylinder is 99 inches, what is the rate of change of the radius? the volume of a cylinder can be found with the equation v
The rate of change of the radius is -9/(2π*99) inches/second.
The volume of a cylinder can be found with the equation V = πr^2h, where V is the volume, r is the radius, h is the height and π is a constant. We know that the volume is constant at 1318 cubic inches and we know that the height of the cylinder is increasing at a constant rate of 9 inches per second.
V = πr^2h
1318 = π * 99^2 * h
Now we can differentiate this equation with respect to time.
dV/dt = 2πr*dr/dt * h + πr^2 * dh/dt
where dV/dt is the rate of change of the volume, dr/dt is the rate of change of the radius and dh/dt is the rate of change of the height.
Now we know that dV/dt = 0, dh/dt = 9 and we know the value of r, we can substitute these values in the above equation and solve for dr/dt
0 = 2π * 99 * dr/dt * h + π * 99^2 * 9
dr/dt = -9/(2π*99) inches/second
The rate of change of the radius is -9/(2π*99) inches/second at the instant when the radius of the cylinder is 99 inches.
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Draw the first through the fifth generations of squares, triangles and trapezoids. count how many of each shape are needed to create each generation. explain the pattern that you have observed. if a pattern does hold for each generation, how many tiles would be required at the 20th generation? how do you determine if the generation you are building is similar (by mathematical definition) to the other generations? what happens to area when you double the dimensions of a given polygon? triple them? describe the pattern and give the value needed for the 20th generation.
At the 20th generation, 400 squares, 400 triangles, and 400 trapezoids are needed.
The pattern for the first through the fifth generations of squares, triangles, and trapezoids is that each generation is made up of the previous generation's shapes, but with each shape having an additional set of smaller shapes attached to each side.
For example, in the first generation, there is only one square. In the second generation, four smaller squares are attached to the sides of the first square. In the third generation, nine smaller squares are attached to the sides of each of the four squares in the second generation, and so on.
The number of shapes needed to create each generation can be found using the formula:
(n^2)
Where n is the generation number.
For example, in the first generation, only 1 square, 1 triangle and 1 trapezoid is needed, in the second generation, 4 of each are needed, in the third generation, 9 of each are needed, and so on.
If this pattern holds for each generation, the number of tiles required at the 20th generation can be found by substituting n = 20 into the formula:
(20^2) = 400
To determine if the generation you are building is similar (by mathematical definition) to the other generations, you would need to check whether the ratio of corresponding sides is the same for each shape in the generation.
When you double the dimensions of a given polygon, the area is multiplied by four. When you triple the dimensions of a given polygon, the area is multiplied by nine.
The pattern for the number of shapes needed to create each generation follows the pattern of a square of n^2. Therefore, the number of tiles required at the 20th generation can be found by substituting n = 20 into the formula, n^2 = 20^2 = 400.
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Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =
Vector equation: r(t) = <1, -1, 7> + t<6, 7, -6>
Parametric equations:
x(t) = 1 + 6t
y(t) = -1 + 7t
z(t) = 7 - 6t
The vector equation and parametric equations describe the line segment that joins the two points p and q.
The vector equation is given by r(t) = <1, -1, 7> + t<6, 7, -6>
Here, <1, -1, 7> is the vector that represents the point p, and <6, 7, -6> is the direction vector of the line segment.
The variable t is a scalar parameter that describes the position of any point on the line segment.
The parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.
These equations express the coordinates of any point on the line segment in terms of the parameter t. So we can substitute any value of t between 0 to 1 in this equation to get the coordinates of a point on the line segment.
For example, if we substitute t = 0, we get x(0) = 1, y(0) = -1, z(0) = 7
which gives us the coordinates of point p.
Similarly, if we substitute t = 1, we get x(1) = 7, y(1) = 6, z(1) = 1
which gives us the coordinates of point q.
So, the line segment is defined by the set of all points whose coordinates are given by these equations for values of t between 0 and 1.
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What is the imaginary line that divides a shape into two equal halves called?
The imaginary line which divides any shape into two equal halves is known as line of symmetry.
As given in the question,
To divides the given shape into two equal parts :
The imaginary line which is used to divide any given shape into two equal halves is known as line of symmetry.The line of symmetry is also called by another name ' mirror line'.It is called a mirror line as it represents the mirror reflection of the given shape by dividing into two equal parts.Therefore, the imaginary line used to divide the given shape into two equal halves is called line of symmetry.
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work out the area of this shape
Answer:
it is 28 cm^2 ig
you got to solve it in the same way as the first question ( divide the shape into rectangles and find the area of each then add them )
M114) solve
cos (2x) = √2 - cos (2x)
Answer:
To solve the equation cos (2x) = √2 - cos (2x), we can first isolate the variable on one side of the equation.
cos (2x) = √2 - cos (2x)
add cos(2x) to both sides
2*cos(2x) = √2
divide both sides by 2
cos(2x) = √2/2
Now we can use the identity cos 2x = 2cos^2 x - 1, so
2cos^2 x - 1 = √2/2
Square both sides
4cos^2 x - 2 = 2 - 1
4cos^2 x = 1
Divide both sides by 4
cos^2 x = 1/4
Since cos^2 x = 1/4, then cos x = +/- √(1/4) = +/- 1/2
So x = pi/3 + 2npi or x = 5pi/3 + 2n*pi
Tell the maximum number of zeros that the polynomial function may have. T
f(x)=4x^9+5x^8+4x^6+9x+1
The maximum number of zeros that the polynomial function f(x) = 4x^9 + 5x^8 + 4x^6 + 9x + 1 may have is 9
What is a polynomial function?A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable.
A polynomial with an exponent of 1 is, for instance, 2x + 5.
The degree of a polynomial is the highest exponent in the polynomial, the polynomial in the problem is f(x) = 4x^9 + 5x^8 + 4x^6 + 9x + 1. The degrees of the polynomial is 9
The zeros of the polynomial will never be more than the degree of the polynomial
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35x10. I need help please help thank you
Answer:350
Step-by-step explanation: 35x10 =350
Ai Mi goes out to lunch. The bill, before tax and tip, was $16. A sales tax of 6% was added on. Ai Mi tipped 14% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cost.
Answer:
$18.97
Step-by-step explanation:
You want to know Ai Mi's bill if her $16 lunch had 6% tax added, and she tipped 14% on the amount with tax.
TaxAdding tax multiplies the bill by (1 +6%) = 1.06.
TipAdding the tip on the amount with tax multiplies that amount by (1 +14%) = 1.14.
Total costThe total cost of Ai Mi's lunch is ...
($16(1.04))(1.14) ≈ $18.97
The total cost with tax and tip was $18.97.
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if 3/5 of people have one pet and 2/3 of those pets are cats, then what fraction of the people have a cat?
Answer: 4/10 of those people have cats because 3/5 multiplied by 2/3 is 4/10.
for some experiment, rats were put in a maze and time of completion was noted. the completion time was normally distributed with a mean of 1.5 and a standard deviation of 0.35. if 5 rats are selected, what is the probability that their total completion time in the maze for all rats is between 6 and 8 minutes? (hint: the mean and standard deviation are for one rat).
With a mean of 1.5 and a standard deviation of 0.35. if 5 rats are selected, the probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.4455.
First, we need to convert the given mean and standard deviation from "one rat" to "five rats". The mean for five rats would be 5 x 1.5 = 7.5, and the standard deviation for five rats would be sqrt(5) x 0.35 = 0.87. Next, we need to convert the given time range of 6-8 minutes to the standard normal distribution, using the z-score formula: z = (x - mean) / standard deviation.
For 6 minutes, z = (6 - 7.5) / 0.87 = -1.72 ,For 8 minutes, z = (8 - 7.5) / 0.87 = 0.58 Finally, we can use a standard normal distribution table to find the probability that the rats will complete the maze in between 6 and 8 minutes. This is the area under the standard normal curve between -1.72 and 0.58. The probability is 0.4455.
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Which is a better buy: 5 shirts for 100 shekels, or 8 shirts for 128 shekels? Solve by comparing unit costs. Show your work and explain your reasoning.
Answer: 8 shirts for 128 shekels
Step-by-step explanation:
First, we can set up fractions and simplify to find the cost of one shirt.
5shirts/100shekels = 1shirt/20 shekels
8 shirts/128 shekels = 1shirt/16 shekels
Ultimately, whichever cost per shirt is lower is going to be the better buy. Since 16shekels/shirt is less than 20shekels/shirt, you are ultimately buying more shirts for a lower cost. Hope this helps
A town with 1800 homes was surveyed. of the 360 who answered the survey, 48 did not have computers at home. On the basis of the survey, estimate how many total homes do not have computers at home.
URGENT!!!!!!!
Answer:
here
Step-by-step explanation:
18000 divided by 360, then multiply that new number with 48. i believe that is the correct math...
Answer:
240
Step-by-step explanation:
48/360*1800
240
Erica is considering moving into a one-bedroom apartment in Hyde Park. The
apartment has a rent of $960 and has the following fees.
- Application fee: 6.5% of one month's rent
Credit application fee: $15
- Security deposit: 2 month's rent
- Lease protection: the last month's rent
Broker's fee: 7% of one year's rent
- First month's rent
How much is Erica expected to pay up front in order to move into this apartment?
PLEASE PLEASE HELP
a lot of 50 electrical components numbered 1 to 50 is drawn at random, one by one, and is divided among five customers. (a) suppose that it is known that components 3, 18, 12, 26, and 46 are defective. what is the probability that each customer will receive one defective component? (b) what is the probability that one customer will have drawn five defective components? (c) what is the probability that two customers will receive two defective components each, two none, and the other one?
The probability of getting one defective component per customer is very low, less than 1/14,254. The probability of getting five defective components to a single customer is also low, 1/14,254. And the probability of getting two defective components to two different customers and the rest of the customers getting none is 10/14,254.
(a) The probability that each customer will receive one defective component is the probability that the five defective components will be drawn in a specific order, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order. So the probability is (5!)/(5049484746) = 1/14,254.
(b) The probability that one customer will have drawn five defective components is the probability that all five defective components will be drawn in a row, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a row. So the probability is (1!)/(5049484746) = 1/14,254,
(c) The probability that two customers will receive two defective components each, two none, and the other one, is the probability that the five defective components will be drawn in a specific order and then divided among the five customers in a specific way, divided by the total number of ways the 50 components can be drawn. The number of ways to divide the defective components among the customers is 5!/(2!2!1!) = 10. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order, so the probability is (105!)/(50494847*46) = 10/14,254.
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if i rolled one die 10 times, what is the mode of the values listed that i rolled? 5, 5, 4, 6, 3, 2, 2, 3, 1, 5 responses 2 2 3 3 4 4 5 5 6 6
mode is 5 and 2 because 2 and 5 occurs more times than other number
Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
The total outcomes = 7
This is because the cube was rolled 7 times
The value recorded are
2, 1
4, 5
3, 2
2,2
1,3
6,2
5,3
From all the outcomes, the only possible out comes that shows that the sum of two numbers is more than 5 are
4, 5
6, 2,
5,3
Probability = possible outcomes / total outcomes
Possible outcomes = 3
Total outcomes = 7
Probability = 3/7
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#3
The price of a watch was decreased by 35% and
sold for $75. 99. What was the original price of the
watch in dollars?
A. $26. 60
C. $116. 91
B. $49. 39
D. $217. 11
As per the unitary method, the original price of the watch is 217.11
The term unitary method is defined as a basic concept to find the value of a single unit and then using that value to find the value of multiple units.
Here we have given that the price of a watch was decreased by 35% and sold for $75. 99.
Let us consider that x be the original price of watch.
Here we have given that the amount of discount is calculated as,
=> 35% of x = 75.99
=> 35/100 of x = 75.99
When we simplify this then we get,
=> 0.35 of x = 75.99
Then the value of x is calculated as,
=> x = 75.99/0.35
=> x = 217.11
Therefore, the correct option is (D).
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Someone help me, I don't understand this
The diameter of the DVD in centimeters found by adding together the ridges and valleys across the diameter is about 11.998 centimeters.
What is the diameter of a circle?The diameter of a circle is the measured distance between the outer rim of the circumference of the circle, passing through the center of the circle.
The number and dimensions of the ridges (bumps) and valleys (without bumps) on the DVD disc are as follows;
The number of bumps across the diameter = 73,000
The thickness of a bump = 0.00032 cm
The number of valleys across the diameter = 73,000
The thickness of valley = 0.000074 cm
The diameter of the circle left blank at the middle of the DVD disc = 4.26 cm
The diameter of the DVD, D, is therefore obtained by multiplying thickness of the bumps and valleys then adding the result to the diameter of the circle in the middle as follows;
D = 73,000 × 0.000032 cm + 73,000 × 0.000074 cm + 4.26 cm = 11.998 cm
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Kasey tries to run a certain number of miles by the end of the month. if kasey is 60% close to reaching her goal and has already run 24 miles, how many miles is she trying to run by the end of the month?
Kasey is trying to run 60 miles by the end of the month.
Let us assume that Kasey tries to run 't' miles by the end of the month.
Kasey is 60% close to reaching her goal.
This means, she has already completed 40% of her goal.
Foven that she has already run 24 miles.
This means 40 percent of total distance is 24 miles.
i.e., 40 percent of 't' miles = 24 miles
We calculate 40 percent of t.
(40/100) × t = 24
(2/5) × t = 24
2 × t = 24 × 5
2 × t = 120
t = 120/2
t = 60 miles
i.e., she tries to run a 60 miles by the end of the month.
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Answer the screenshot
Answer: Undefined
Step-by-step explanation:[tex]\sqrt{x}[/tex]
This seems to be undefined.
Let's make a chart:
x #s | y #s
1
2
0
-1
-2
-------------------------------------
Let's take a number out of the chart to act as x:
f(x)=[tex]\sqrt{-2^4 -16}[/tex] -> f(x)=[tex]\sqrt{-16-16}[/tex] -> [tex]\sqrt{-32}[/tex]
Since the answer is negative, the answer should be the one that says undefined.
---- SORRY IGNORE WHAT I TYPED I JUST REALIZED IT IS WRONG PLS DELETE THIS
Help please this got me confused
Answer:
Step-by-step explanation:
X=32
where M is we can see that those 3 sections add up to make 180.
Therefore 180-96=84 and 84/2=42 so the angles by 84 on both side is 42 since we know that LM and MN is the same we can then determine that the angles in the middle triangle add up to make 180. By looking at the proofs at the top NO and LM are the same so both the bottom angles in each triangle is 42. So we know that 84 is the addition of both the bottom angles 180 - 84 is 96. We set that equal to 3x. 3x=96 Divide both sides by 3 x is equal to 32.
Are lines L1 and L2 parallel? Are lines L1 and L4 perpendicular? Explain your thinking.
Answer:
yes dont listen to anything isay because i just wants the points its to harda for me
Step-by-step explanation:
work out 4x(2x10^2) answer in standard form
Answer:
Step-by-step explanation:
nai dunga
