To answer this question, we would need to perform a hypothesis test using the given sample data and a significance level of α = 0.05. The null hypothesis would be that the standard deviation of the resting heart rates for students in this class is equal to 12 bpm, while the alternative hypothesis would be that it is different from 12 bpm.
We would then need to calculate the sample standard deviation from the given data and use it to compute the test statistic (either a t-score or a z-score, depending on the sample size and whether or not the population standard deviation is known). We would compare this test statistic to the critical value from the appropriate distribution (either a t-distribution or a standard normal distribution) using the given significance level.
If the test statistic falls outside the critical value region, we would reject the null hypothesis and conclude that there is enough evidence to say that the standard deviation of the resting heart rates for students in this class is different from 12 bpm. However, if the test statistic falls inside the critical value region, we would fail to reject the null hypothesis and conclude that there is not enough evidence to make such a claim.
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________ determines how two sets of data from a sample vary simultaneously.
STDEV. P
COVARIANCE. S
CORREL
STDEV. S
CORREL determines how two sets of data from a sample vary simultaneously. Option 3, "CORREL", is the correct answer.
What is CORREL?The correlation coefficient between two cell ranges is returned by the CORREL function. To ascertain the connection between two properties, use the correlation coefficient.
The measure that determines how two sets of data from a sample vary simultaneously is called correlation.
Option 3, "CORREL", is the correct answer. Correlation measures the strength and direction of the linear relationship between two variables. It indicates how much one variable changes when the other variable changes, and is typically measured using a correlation coefficient, such as Pearson's correlation coefficient.
The other options listed are also measures of the relationship between two variables, but they measure different aspects of this relationship:
- STDEV.P is the population standard deviation, which measures the spread of a population of values around its mean.
- COVARIANCE.S is the sample covariance, which measures how two variables vary together in a sample.
- STDEV.S is the sample standard deviation, which measures the spread of a sample of values around its mean.
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find the coordinates of the point p at an angle of −90∘ on a circle of radius 4.3. round your answers to the three decimal places. enter a point as (a,b) including parentheses.
The point p at an angle of -90 degrees on a circle of radius 4.3 is the point where a vertical line intersects the circle.
This is because an angle of -90 degrees is equivalent to a downward vertical direction in the Cartesian coordinate system. To find the coordinates of this point, we can use the equation of a circle in standard form:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle and r is its radius. Since the circle in this question has a radius of 4.3, we can substitute r = 4.3 into the equation. To find the center of the circle, we would need additional information such as the equation of the circle or another point on the circle.
However, we can still find the coordinates of the point p by realizing that the center of the circle is the origin (0,0) and substituting x = 0 into the equation of the circle. This gives us:
(0 - 0)^2 + (y - 0)^2 = 4.3^2
Simplifying the equation, we get:
y^2 = 4.3^2
Taking the square root of both sides, we get:
y = ± 4.3
Since we are looking for the point p at an angle of -90 degrees, we take the negative square root to get:
y = -4.3
Therefore, the coordinates of the point p are (0, -4.3)
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DUE TODAY WELL WRITTEN ANSWERS ONLY PLASE HELP!!!!!!!!!!
A biologist measures the stride lengths of a population of emus, the second-tallest birds in the world, and the stride lengths of a population of ostriches, the tallest birds in the world. The biologist found that the stride lengths of both populations were approximately normally distributed.
• The mean stride length of the population of emus is 3 meters with a standard deviation of 0.5 meters.
• The mean stride length of the population of ostriches is 4.5 meters with a standard deviation of 0.75 meters.
o Approximately 34% of the ostriches have stride lengths between 4.5 and 5.25 meters. Describe these values in terms of the mean and standard deviation only. What interval would represent a similar percentage of emus?
o How can this percentage be seen using a graph of the normal curve?
The interval that represents a similar percentage of emus is 3 to 3.5 meters.
The percentage of ostriches with stride lengths between 4.5 and 5.25 meters using a graph of the normal curve.
The population of ostriches can know that approximately 34% have stride lengths between 4.5 and 5.25 meters.
To describe these values in terms of the mean and standard deviation can use the following formula for a standard normal distribution:
z = (x - μ) / σ
z is the z-score, x is the value we're interested in, μ is the mean and σ is the standard deviation.
The z-scores for 4.5 and 5.25 use the mean and standard deviation of the population of ostriches:
z1 = (4.5 - 4.5) / 0.75
= 0
z2 = (5.25 - 4.5) / 0.75
= 1
The range of 4.5 to 5.25 meters corresponds to z-scores between 0 and 1.
The interval that represents a similar percentage of emus can use the same z-scores.
Since the mean stride length of the emus is 3 meters with a standard deviation of 0.5 meters can use the formula above to find the corresponding values of x:
x1 = μ + z1 × σ
= 3 + 0 × 0.5
= 3
x2 = μ + z2 × σ
= 3 + 1 × 0.5
= 3.5
The interval that represents a similar percentage of emus is 3 to 3.5 meters.
The percentage of ostriches with stride lengths between 4.5 and 5.25 meters using a graph of the normal curve.
The total area under the normal curve is equal to 1 so if 34% of the ostriches have stride lengths in this range the area under the curve between 4.5 and 5.25 standard deviations from the mean is also 0.34.
A standard normal distribution table or a calculator can find that the z-scores that correspond to an area of 0.34 between them are approximately -0.43 and 0.43.
The graph of the normal curve for the population of ostriches would show that the area between z = -0.43 and z = 0.43 is 0.34.
This interval corresponds to stride lengths between:
μ + (-0.43) × σ = 4.13 meters
μ + (0.43) × σ = 4.87 meters
The range of 4.5 to 5.25 meters.
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List the sample space for rolling a fair nine-sided die.
S = {1}
S = {9}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
S = {1, 2, 3, 4, 5, 6}
The sample space for rolling a fair nine-sided die is {1, 2, 3, 4, 5, 6, 7, 8, 9}.
Option C is the correct answer.
We have,
The sample space is the set of all possible outcomes of a random experiment.
In this case, we are rolling a nine-sided die, which means that the possible outcomes are the numbers 1 to 9.
Therefore,
The sample space for rolling a fair nine-sided die is {1, 2, 3, 4, 5, 6, 7, 8, 9}.
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Suppose that a set of leading and countercyclical variables have recently reached a trough. What do you expect will happen soon? A. None of the other options B. The recession is about to end C. An expansion is about to start D. Aggregate economic activity will start increasing E. Aggregate economic activity will start declining
Based on the information provided, with leading and countercyclical variables reaching a trough, we can expect that:
D. Aggregate economic activity will start increasing.
Leading variables are indicators that change before the overall economy changes, and countercyclical variables move in the opposite direction of the general economic trend.
When these variables reach a trough, it suggests that the lowest point of economic activity has been reached.
As a result, we can expect that aggregate economic activity will start increasing, signaling the end of a recession and the beginning of an expansion phase.
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You are planning to purchase a used car. You have $5,500 to spend and you plan to drive the car for at least five years. The graph below shows the estimated long term cost of buying and owning two different cars. You are considering the gas, insurance, and maintenance costs of both cars.
The yellow car will cost $2,000 initially and cost about $2,000 a year to maintain. The blue car will cost $5,000 and then cost about $1,000 a year to maintain.
Given that you plan to keep your car for at least five years, which statement below is TRUE?
I should buy the blue car because by the time five years have passed, I will have saved almost $2,000.
The graph shows that the costs of the two cars will be approximately equal in 4 years.
I should buy the yellow car because I will never make up the extra $3,000 I paid for the blue car.
The graph shows that the yellow car will be worth more when I sell it.
With regard to the cost of both cars, the option that is True is "I should buy the blue car because by the time five years have passed, I will have saved almost $2,000." (Option A)
How is this so?From the graph,
Step 1: Note that by the 5th year the cost spent on maintenance for the blue car is $9000
Step 2: while that of the yellow car is $11,000.
Step 3: This means that the owner would have saved $2000 since he or she does not wish to keep both cars beyond 5 years period.
Note that this is called cost analysis.
A cost-benefit analysis, also known as a benefit-cost analysis, is a method for analyzing the strengths and weaknesses of options.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+170x+61
A rocket is launched from a tower. the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. using this equation, the time that the rocket will hit the ground is 9.99 s.
To solve the resulting quadratic equation, we must replace the height of the rocket with 0
That simply indicates that we are addressing:
0=-16x²+149x+108
We can resolve this using the quadratic formula.
x = -b±√b²-4ac/2a
where a is the -16 coefficient of x2.
B is 149, which is x's coefficient.
The last number, c, is 108.
By changing the values, we obtain that:
x = 9.99
or
x = -0.68
Time cannot be negative, thus we can only utilize the first value.
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complete question:
A rocket is launched from a tower. the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+149x+108
From a hot-air balloon, Enola measures a 22° angle of depression to a landmark that's 310 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round to the nearest hundredth if necessary.
The balloon's vertical distance ( height ) above the ground level is approximately 125.25 feet.
What is the height of the baloon from the ground?Given that, Enola measures a 22° angle of depression to a landmark that's 310 feet away, measuring horizontally.
This forms a right triangle, the landmark, and the vertical distance (h), the angle of depression (θ) is given as 22 degrees.
The horizontal distance (d) between the balloon and the landmark is given as 310 feet.
Hence, using the trigonometric ratio:
tan(θ) = opposite / adjacent
Plug in the values:
tan(22°) = h / 310
Solve for h
h = tan(22°) × 310
h = 125.25 ft
Therefore, its height from the ground is 125.25 ft.
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find the inverse of the function on the given domain. f(x)=(x−20)2fx=x−202 , [20,[infinity])
Therefore, the inverse function is f^-1(x) = sqrt(x) + 20, on the domain [0, infinity).
To find the inverse of f(x), we need to solve for x in terms of f(x). First, we write the function as f(x) = (x-20)^2. Then, we switch the variables and solve for x:
f(x) = (x-20)^2
x - 20 = sqrt(f(x))
x = sqrt(f(x)) + 20
The inverse function of f(x) = (x-20)^2 on the domain [20, infinity) is f^-1(x) = sqrt(x) + 20 on the domain [0, infinity).
Therefore, the inverse function is f^-1(x) = sqrt(x) + 20, on the domain [0, infinity).
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what survey concept might explain why statistics show that despite the fact that about 1/2 of marriages eventually end in divorce, the majority of spouses report that their marriage is very happy
The concept that can explain this is called "Survivorship Bias". Survivorship bias occurs when we focus on those who "survived" or made it through a particular event or process, and overlook those who did not. In the case of marriage, those who have divorced are not included in the statistics on happy marriages, so the overall rate of happy marriages appears to be higher than it actually is.
In other words, the statistics on divorce rates only take into account marriages that have ended in divorce, but not the marriages that have remained intact. Therefore, the majority of spouses who report being very happy in their marriage are likely the ones who have successfully stayed married and are still together. The statistics only reflect those who have not been able to maintain a happy marriage.
It's also important to note that happiness is subjective and can vary from person to person. Some individuals may find happiness in their marriage despite facing challenges, while others may not. Therefore, even if a marriage does end in divorce, it does not necessarily mean that it was unhappy throughout its duration.
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a sequence of 6 bits is generated randomly. what is the probability that at least one of these bits is 0?
The probability that at least one bit is 0 is 63/64 or approximately 0.9844.
Now, For the probability that at least one bit is 0, we have to calculate the probability that all bits are 1 and then subtract it from 1.
Hence, Let us assume that each bit has an equal probability of being 0 or 1, the probability that a single bit is 1 is,
1/2
And, the probability that a single bit is 0 is also 1/2.
Hence, The probability that all 6 bits are 1 is,
⇒ (1/2)⁶ = 1/64.
Therefore, the probability that at least one bit is 0 is,
⇒ 1 - 1/64 = 63/64.
So, the probability that at least one bit is 0 is 63/64 or approximately 0.9844.
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Total cost 90207 sales tax rate = 8% whats the original price?
For =0,1,2,.. and 0≤≤100, the joint PMF of random variables and K is P,K(,)=(100/!)*(−100)*(100 C )*(p)(1−p)100−. Otherwise,P,K(,)=0.a. Are and K independent?b. Find the marginal PMFs P() and PK().c. If p=0.5,what is the probability that is less than 2and K is 50, P[<2,K=50]
a. A and K are independent.
b.[tex]P(A) = (100!/A!(100-A)!)(-1)^A(p^A)\sum[(100 C K)((1-p)^{(100-K)})][/tex] (summing over K) and [tex]PK(K) = (100 C K)((1-p)^{(100-K)})\sum[(100!/A!(100-A)!)(-1)^A(p^A)][/tex] (summing over A)
c. The probability P[<2, K=50].
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an outcome in a specific situation or experiment.
a. To determine if A and K are independent, we need to check if the joint PMF can be expressed as the product of the marginal PMFs.
Given the joint PMF:
[tex]P(A,K) = (100!/A!(100-A)!)(-1)^A(100 C K)(p^A)((1-p)^{(100-K)})[/tex]
If A and K are independent, the joint PMF should be equal to the product of the marginal PMFs:
P(A,K) = P(A)*PK(K)
Let's check if this holds true by calculating the marginal PMFs.
b. Marginal PMFs:
P(A) = ∑PK(A,K) (summing over K)
[tex]P(A) = \sum[(100!/A!(100-A)!)(-1)^A(100 C K)(p^A)((1-p)^{(100-K)})][/tex] (summing over K)
[tex]P(A) = (100!/A!(100-A)!)(-1)^A(p^A)\sum[(100 C K)((1-p)^{(100-K)})][/tex] (summing over K)
PK(K) = ∑P(A,K) (summing over A)
[tex]PK(K) = \sum[(100!/A!(100-A)!)(-1)^A(100 C K)(p^A)((1-p)^{(100-K)})][/tex] (summing over A)
[tex]PK(K) = (100 C K)((1-p)^{(100-K)})\sum[(100!/A!(100-A)!)(-1)^A(p^A)][/tex] (summing over A)
c. To find P[<2, K=50], we need to substitute p = 0.5 and evaluate the joint PMF for A < 2 and K = 50:
P[<2, K=50] = P(0, 50) + P(1, 50)
[tex]P(0, 50) = (100!/0!(100-0)!)(-1)^0(100 C 50)(0.5^0)((1-0.5)^{(100-50)})\\\\P(1, 50) = (100!/1!(100-1)!)(-1)^1(100 C 50)(0.5^1)((1-0.5)^{(100-50)})[/tex]
Simplifying these expressions will give the probability P[<2, K=50].
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find the slope of the curve y = 6x2 6/x at the point (3, 56).
Therefore, the slope of the curve y = 6x^2 + 6/x at the point (3, 56) is 34.
Let's go through the calculation again to find the correct slope.
To find the slope of the curve at the point (3, 56), we need to take the derivative of the function y = 6x^2 + 6/x and evaluate it at x = 3.
Taking the derivative of y with respect to x, we can differentiate each term separately:
d/dx (6x^2) = 12x
d/dx (6/x) = -6/x^2
Now, combining the derivatives, we have:
y' = 12x - 6/x^2
Substituting x = 3 into the derivative expression:
y'(3) = 12(3) - 6/(3^2)
= 36 - 6/9
= 36 - 2/3
= 34 2/3
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help me gango quickly
The system of inequalities that represents the possible ways Dakota can mix the cereals is:
6a + 8b < 200
7a + 5b <= 150
Dakota wants the bowl of cereal to contain no more than 200 milligrams of sodium and 150 calories.
The first inequality represents the limit on the sodium content, which cannot exceed 200 milligrams. Cereal A has 6 milligrams of sodium per gram, and Cereal B has 8 milligrams of sodium per gram.
Therefore, 6a + 8b represents the total sodium content in milligrams for a mixture of grams of Cereal A and b grams of Cereal B.
The second inequality represents the limit on the calorie content, which cannot exceed 150 calories. Cereal A has 7 calories per gram, and Cereal B has 5 calories per gram.
Therefore, 7a + 5b represents the total calorie content in calories for a mixture of grams of Cereal A and b grams of Cereal B.
Therefore, the system of inequalities that represents the possible ways Dakota can mix the cereals is:
6a + 8b < 200
7a + 5b <= 150
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if x is uniformly distributed over (a, b), find a random variable y linear in x that is uniformly distributed over (0, 1).
We can use the transformation y = (x - a) / (b - a) to generate a random variable y that is linear in x and uniformly distributed over (0, 1).
To find a random variable y that is linear in x and uniformly distributed over (0, 1), we can use the following transformation:
y = (x - a) / (b - a)
This transformation maps the interval (a, b) to the interval (0, 1) and ensures that the distribution of y is uniform.
To see why this is the case, we can use the formula for the probability density function (pdf) of a uniform distribution:
f(x) = 1 / (b - a)
This means that the probability of x being between any two values c and d is proportional to the length of the interval (d - c) and is given by:
P(c < x < d) = (d - c) / (b - a)
Now, let's find the pdf of y using the transformation above:
F(y) = P(y < Y) = P((x - a) / (b - a) < y) = P(x < (b - a) * y + a)
We can differentiate this to get the pdf of y:
f(y) = dF(y) / dy = f(x) / (b - a) = 1 / (b - a)
This shows that the distribution of y is indeed uniform over (0, 1).
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in a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $95.25 and a standard deviation of $27.32. on average, in a sample of 25 randomly-selected professors, above how much do the top 10\% spend each week on entertainment? question
The top 10% of professors spend above $125.94 each week on entertainment. To find the z-score for the top 10% of professors, we need to find the z-value that corresponds to the 90th percentile.
To find out the amount of money spent by the top 10% of professors on entertainment each week, we need to use the z-score formula and the standard normal distribution table.
The z-score formula is:
z = (x - μ) / σ
where:
x = the amount spent on entertainment
μ = the mean amount spent on entertainment
σ = the standard deviation
To find the z-score for the top 10% of professors, we need to find the z-value that corresponds to the 90th percentile. The 90th percentile can be calculated as follows:
90th percentile = mean + z-score * standard deviation
From the standard normal distribution table, we can find that the z-score corresponding to the 90th percentile is 1.28.
So,
90th percentile = 95.25 + 1.28 * 27.32 = 125.94
Therefore, the top 10% of professors spend above $125.94 each week on entertainment.
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A trapezoid has bases of lenghts 24 and 29. Find the trapezoid's area if it's height is 10
Answer: The trapezoid's area is 265 [tex]unit^{2}[/tex]
Definition of a trapezoid - A trapezoid, also known as a trapezium, is a flat closed shape having four straight sides, with one pair of parallel sides.
The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs. The parallel sides can be horizontal, vertical, or slanting.
The perpendicular distance between the parallel sides is called the altitude.
The area of trapezium is given as : [tex]\frac{1}{2}[/tex] × sum of the parallel sides × distance between the parallel sides
Given: the base lengths of trapezoid are 24 unit and 29 unit and height is 10 unit.
The area of trapezoid = [tex]\frac{1}{2}[/tex] × (24+29) × 10 = 265 [tex]unit^{2}[/tex]
Final answer : The area of trapezoid is 265[tex]unit^{2}[/tex]
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A box is 3 feet long, 18 inches wide and 7 inches tall. How much would it cost to cover the box in material if the material costs 2 cents per square inch? Explain how you found your cost.
Answer:$90.72
Step-by-step explanation:
3ft= 12×3=36
18×7×36
=126×36
=4,536
4,536×0.02
=$90.72
when using smoothing splines for regression, the tuning parameter determines the smoothness of the fitting function via application of a penalty term to a loss function. determine whether the effective degrees of freedom increase or decrease as varies between . what minimum and maximum values does take on?
Answer:
Step-by-step explanation:
CIOCCA
The 9 starting members of the baseball team are lining up for a picture. What is the probability the Ian will stand in the center of the picture and Cameron will be on his right?
The probability of Ian standing in the center of the picture with Cameron on his right is approximately 0.000002756 or 1 in 362,880.
To calculate the probability of Ian standing in the center of the picture with Cameron on his right, we need to consider the total number of possible arrangements and the number of favorable arrangements that satisfy the given condition.
Since there are 9 members in the baseball team, there are 9 possible positions for Ian to stand.
Once Ian is placed in the center, there are 8 remaining positions for Cameron to stand.
To calculate the probability, we need to determine the number of favorable arrangements where Ian stands in the center and Cameron is on his right.
Since Ian must stand in the center, there is only 1 position for Ian. Once Ian is in the center, there is only 1 position for Cameron to stand on his right.
Therefore, the number of favorable arrangements is 1.
The total number of possible arrangements is given by the number of permutations of 9 members, which is 9!.
So, the probability is calculated as:
Probability = Number of favorable arrangements / Total number of possible arrangements
= 1 / 9!
To simplify this, we can write 9! as [tex]9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1.[/tex]
Therefore, the probability is:
Probability [tex]= 1 / (9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)[/tex]
= 1 / 362,880
≈ 0.000002756.
Hence, the probability of Ian standing in the center of the picture with Cameron on his right is approximately 0.000002756 or 1 in 362,880.
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Find the general solution of(Square root (dy/dx) = (y − 2)/(x + 2) )(Hint: Transform the problem into a separable equation and do not forget to check for constant solutions.)
Thus, the general solution of the given differential equation is y = Ce^(-1/(x+2)) + 2, where C is a constant, and the constant solution is y = 2.
To find the general solution of the given differential equation, we need to transform it into a separable equation. To do this, we can square both sides of the equation to get rid of the square root:
(dy/dx) = (y-2)/(x+2)^2
Now, we can separate the variables by multiplying both sides by (x+2)^2 and dividing both sides by (y-2):
(1/(y-2)) dy = (1/(x+2)^2) dx
Integrating both sides, we get:
ln|y-2| = -1/(x+2) + C
where C is the constant of integration. Solving for y, we get:
y = Ce^(-1/(x+2)) + 2
This is the general solution of the given differential equation. However, we also need to check for constant solutions. If y is a constant, then dy/dx = 0. Substituting this into the original equation, we get:
0 = (y-2)/(x+2)
Since (x+2) is never equal to zero, this implies that y-2 = 0, or y = 2. Therefore, the constant solution is y = 2.
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in a sample of 30 people, the average cost of a latte is $3.55. the standard deviation for the sample is $1.46. what is the margin of error for a 99% confidence interval?
In this case, the margin of error for a 99% confidence interval is $0.814.
To calculate the margin of error for a 99% confidence interval, we need to use the formula:
Margin of error = Z × (standard deviation / sqrt(sample size))
where Z is the z-score for the desired confidence level. For a 99% confidence interval, the z-score is 2.576.
Plugging in the given values, we get:
The margin of error = 2.576 × (1.46 / √(30))
Simplifying this expression, we get:
Margin of error = 0.814
Therefore, in this case, the margin of error for a 99% confidence interval is $0.814. This means that we can be 99% confident that the true average cost of a latte in the population falls within $3.55 ± $0.814. In other words, the true average cost of a latte in the population could be as low as $2.736 or as high as $4.364, based on the sample data.
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The formula for the area of a parallelogram can be used to derive the formula for the area of a circle. Is this correct?
(A) No
(B) Yes
(C) Maybe
pls help I’m grade 5
The formula for the area of a parallelogram can be used to derive the formula for the area of a circle. Is A) No. therefore, These are two different geometric shapes with different formulas for finding their areas.
(A) No, the formula for the area of a parallelogram cannot be used to derive the formula for the area of a circle. These are two different geometric shapes with different formulas for finding their areas.
The formula for the area of a parallelogram is A = base x height, while the formula for the area of a circle is A = π[tex]r^2[/tex], where r is the radius of the circle.
There are other methods to derive the formula for the area of a circle, such as using calculus or using approximations with polygons, but using the formula for a parallelogram is not one of them.
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Complete the table of values for y = x^2 -2:
The complete table for the function are
x -2 -1 0 1 2 3
y 2 -1 -2 1 2 7
The estimated values of the function are x = -1.4 and x = 1.4
How to complete the missing parts of the table for the function.From the question, we have the following parameters that can be used in our computation:
The function equation and the incomplete table of values
This is given as
y = x² - 2
From the table, the missing values are at
x = -2, x = -1, 1 and x = 3
So, we have
y = (-2)² - 2 = 2
y = (-1)² - 2 = -1
y = (1)² - 2 = -1
y = (3)² - 2 = 7
Estimating y = x² - 2From the table, we can see that
When y = 0, the values of x are
x = -1.4 and x = 1.4
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it is hard help me please
Answer:
i think its 14
Step-by-step explanation:
consider the following function. f x = cos 3x 4 find the derivative of the function.
The derivative of the function f(x) = cos(3x/4) is -3/4 sin(3x/4).
To find the derivative of a function, we can use the power rule and the chain rule. In this case, the power rule states that the derivative of cos(3x/4) is equal to the derivative of cos(u), where u = 3x/4. The derivative of cos(u) is equal to -sin(u), so the derivative of cos(3x/4) is equal to -sin(3x/4). Using the chain rule, we also need to multiply this by the derivative of the inside function, which is 3/4. Therefore, the derivative of f(x) = cos(3x/4) is -3/4 sin(3x/4).
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in An C?
1, 6, 12
D. 9, 15
avs the results of a survey asking
Key Club watch on television.
n Television
11
Football
16.
The accompanying Venn diagram shows the results of a survey
asking 100 people if they get news by reading newspapers or by
watching television.
Sources of News
Newspapers
15
A. 700
40
B.
Television
20
What is the probability that a person selected at random from
this survey does not claim newspapers as a source of getting the
news?
25
C. f
D.
17. A bag contains 3 red marbles and 4 blue marbles. If one marble
is drawn at random, what is the probability that it is red?
D.
التي
The probability that a person selected at random from the survey does not claim newspapers as a source of getting the news is 85%.
To determine the probability that a person selected at random from the survey does not claim newspapers as a source of getting the news, we need to consider the information provided in the Venn diagram.
According to the diagram, the number of people who get news from newspapers is 15, and the total number of people surveyed is 100. Therefore, the number of people who do not claim newspapers as a source of getting the news would be:
Total number of people surveyed - Number of people who get news from newspapers = 100 - 15 = 85
The probability can be calculated by dividing the number of people who do not claim newspapers by the total number of people surveyed:
Probability = Number of people who do not claim newspapers / Total number of people surveyed = 85 / 100 = 0.85 or 85%
So, the probability that a person selected at random from the survey does not claim newspapers as a source of getting the news is 85%.
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to estimate a population mean, the sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is'
We need a sample size of at least 97 to estimate the population mean with a margin of error of 2 or less and a .95 probability when the population standard deviation equals 11.
To estimate a population mean with a certain level of confidence and a specific margin of error, we use a formula that requires knowledge of the population standard deviation. In this case, we are given that the population standard deviation is 11. The formula we use is:
n = [(z*σ)/E]^2
Where:
n = sample size needed
z = the z-score corresponding to the desired level of confidence (in this case, .95 corresponds to a z-score of 1.96)
σ = the population standard deviation (in this case, 11)
E = the desired margin of error (in this case, 2)
Substituting in the values given, we get:
n = [(1.96*11)/2]^2
n = 96.04
We round up to the nearest whole number, since we need a whole number of participants. Therefore, we need a sample size of at least 97 to estimate the population mean with a margin of error of 2 or less and a .95 probability when the population standard deviation equals 11.
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Yvonne leaves school and drives straight to work. If her speed averages 30 km/h, she'll be exactly 18 minutes late for work, whereas if her travel speed averages 45 km/h, she will arrive exactly 8 minutes early to work. What is the distance in km between Yvonne's school and work?
Yvonne leaves school and drives straight to work. So, according to the question the distance between Yvonne's school and work is 15 kilometers.
Let's assume that the distance between Yvonne's school and work is "d" kilometers.
When Yvonne drives at an average speed of 30 km/h, she will cover the distance "d" in (d/30) hours. However, she will be 18 minutes late for work, which is the same as being 0.3 hours late. So, the total time taken by Yvonne to reach work is (d/30) + 0.3 hours.
On the other hand, when Yvonne drives at an average speed of 45 km/h, she will cover the same distance "d" in (d/45) hours. However, this time she will arrive 8 minutes early for work, which is the same as being 0.1333 hours early. So, the total time taken by Yvonne to reach work is (d/45) - 0.1333 hours.
We know that both these times are equal, since Yvonne is covering the same distance "d". So, we can equate them as follows:
(d/30) + 0.3 = (d/45) - 0.1333
Solving this equation gives us the value of "d" as 15 kilometers. Therefore, the distance between Yvonne's school and work is 15 kilometers.
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