Answer:
\(x {}^{2} - 5\)
We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
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Use index notation to write 248 as a product of its factor
Answer:
2^3 x 31
Step-by-step explanation:
31 is a prime number
In the equation y=8x - 4 the y-intercept is?
An 80% confidence interval for a proportion is found to be (0.27, 0.33). What is the sample proportion?
Solution
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
\(p=\frac{0.27+0.33}{2}=0.30\)then the sample proportion would be 0.30
What is the value of x?
Please, show your work.
Refer to the attached image
The value of x in the triangle is 47
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the above (the triangle) as a guide, we have the following ratio
22 : 77 = (x - 22) : 87.5
The above ratio is true because the line TV divdes the base of the triangle in proportion
So, we have
(x - 22)/87.5 = 22/77
This gives
(x - 22)/87.5 = 2/7
So, we have
x - 22 = 25
Add 22 to both sides
x = 47
Hence, the value of x is 47
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2/9 divided by 6/27 fill the box with a fraction that makes the equation true
Answer:
1
Step-by-step explanation:
2 /9÷ 6/ 27=1
A basic pattern of 1 blue bead and 1 green bead is used to make a bracelet that is 37cm long. The bracelet is made by repeating the basic pattern 10 times. The length of a blue bead is Bcm. The length of a green bead is 1. 2cm. Complete the question to represent the length of the bracelet
Answer: Therefore, the length of a blue bead is 2.5 cm, and the length of a green bead is 1.2 cm. And the length of the bracelet is:
10 × (2.5 + 1.2) = 37 cm.
Step-by-step explanation:
To represent the length of the bracelet, we need to determine the length of each repetition of the basic pattern and then multiply it by the number of times the pattern is repeated.
The length of each repetition of the basic pattern is the sum of the length of one blue bead and one green bead, which is:
B + 1.2 cm
Since the basic pattern is repeated 10 times, the total length of the bracelet is:
10 × (B + 1.2) cm
And we know that the total length of the bracelet is 37 cm, so we can set up an equation:
10 × (B + 1.2) = 37
Simplifying the equation, we can divide both sides by 10:
B + 1.2 = 3.7
Subtracting 1.2 from both sides, we get:
B = 2.5
Therefore, the length of a blue bead is 2.5 cm, and the length of a green bead is 1.2 cm. And the length of the bracelet is:
10 × (2.5 + 1.2) = 37 cm.
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2. Reading from left to right, which of these
numbers are listed in order from smallest
to largest?
(A) 0.303, 0.033, 0.33
(B) 0.022, 0.22, 0.202
(C) 0.202, 0.22, 0.022
(D) 0.22, 0.202, 0.022
(E) 0.022, 0.202, 0.22
A consumer organization was concerned that an automobile manufacturer was misleading customers by overstating the average fuel efficiency measured in miles per gallon or mos) of a particular car model. The model was advertised to get 27 mpg. To investigate the researchers selected a random sample of 10 cars of the model. Each car was then randomly assigned a different driver. Each car was driven for 5000 miles and the total fuel consumption was used to compute the mpg for the car. What is the parameter of interest? O the mean mpg of the 10 carsO the mpg measurements of this car model O the population of all cars of this particular model O the mean mog of all cars of this particular model
The correct answer is option a). The parameter of interest is the mean mpg of the 10 cars.
This parameter is important because it is the average mpg of the sample that is being used to measure the fuel efficiency of the car model. This parameter is important because it provides an indication of how efficient the car model is. By measuring the mpg of a sample of 10 cars, the researchers can get an indication of how the entire population of cars of this particular model perform.
The mean mpg of all cars of this particular model is the population parameter and is the overall average mpg of all cars of this particular model. The mpg measurements of this car model is the individual measurements for each car in the sample, which are used to calculate the mean mpg of the 10 cars.
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The scalar product of two parallel unit vectors, is equals to one i.e., i.e., = 1 , = 1 and = 1 .
Scalar Product: The scalar product is also known as dot product. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other vector and multiplying it by magnitude of other vector. That gives scalar as a result. Scalar don't have a direction associated with them. The scalar product of vector A and vector B is equal to |A| |B|Cosθ , where |A|, |B| represent magnitude of vector A and vector B and θ angle between the two vectors direction.
We have to determine the scalar product of , and Here and are the unit vectors in the direction along the x-axis. So, they are parallel to each other, that's why θ = 0° and = 1 . Therefore, = (1) (1) cos 0° = 1. Similarly, = 1 ( unit vectors in direction along the y-axis) and = 1 ( along z-axis). Hence, the dot product of the two unit vectors and is equal to one for each
Show 76 as tens and ones two ways how do I figure this problem out to get the answer
Answer: 7 tens and 6 ones
Step-by-step explanation: 76 is two numbers, with a 7 in the tens place and a 6 in the ones place.
76 can be represented as 7 tens and 6 ones or as 6 tens and 16 ones. This involves understanding the place value of digits in a number and knowing that a ten can be broken down into ones.
Explanation:The number 76 can be broken down into tens and ones in multiple ways. First, let's understand what tens and ones mean in the context of a number. In the number 76, '7' is the tens place, and '6' is the ones place, meaning there are 7 tens (70) and 6 ones (6) making up 76.
One way to show 76 with tens and ones is to say that there are 7 tens and 6 ones. This is a very direct method where we just count the number of tens and ones in the number.
Another way we could break down 76 is to say there are 6 tens and 16 ones. This method involves taking one of the tens and breaking it down into 10 ones, giving us a total of 6 tens and 16 ones.
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(
2
5
+
2
2
i)
2
in simplest a+bia+bi form.
The complex number (25 + 22i)² in simplest form a + ib is 141 + 1100i
What is a complex number?A complex number is a number in the form z = x + iy where
x and y are real numbers and i = √(-1)How to find the complex number (25 + 22i)² in the simplest form?To find the complex number (25 + 22i)² in the form a + ib, we proceed as follws.
(25 + 22i)² = (25 + 22i)((25 + 22i)
Expanding the brackets, we have that
(25 + 22i)² = (25 + 22i)((25 + 22i)
(25 + 22i)² = [25 × 25 + 25 × 22i + 25 × 21 + (22i)²]
(25 + 22i)² = [625 + 550i + 550i + 484i²]
(25 + 22i)² = [625 + 550i + 550i + 484 × (-1)] Since i² = -1
(25 + 22i)² = [625 + 550i + 550i - 484]
Collecting like terms, we have that
(25 + 22i)² = [625 - 484 + 550i + 550i]
(25 + 22i)² = 141 + 1100i
So, (25 + 22i)² = 141 + 1100i
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Need help doing homework
Answer:
The solution is 8
Three boys, Lara, Mansingh and Zolo went collecting mangoes. Here is a list of how many mangoes each boy collected.
Lara........84
Mansingh ........96
Zolo........120
They then shared the mangoes equally among themselves. How many mangoes will Zolo receive as his share?
The number of mangoes that Zolo will receive is given as follows:
100 mangoes.
How to obtain the number of mangoes that each person will receive?The number of mangoes that each person will receive is obtained applying the proportions in the context of the problem.
The number of mangoes collected by each of the three friends is given as follows:
Lara collected 84 mangoes.Mansingh collected 96 mangoes.Zolo collected 120 mangoes.Hence the total number of mangoes collected by the three friends is given as follows:
84 + 96 + 120 = 300.
Each person will receive an equal amount of mangoes, hence the amount of mangoes received by each person is obtained as follows:
300/3 = 100 mangoes.
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Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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QUICK ANSWERS PLEASE!37. What common angle do AACF and ABCG share?BСAFGA. ZCB. ZFC. ZAD. ZB
Explanation
as we can see in the picture, after drawing the angles, we can observe the common angles is
\(A)\angle C\)I hope this helps you
solve the following heat equation: ut(x, t) = uxx(x, t) u(0, t) = u(1, t) = 0 u(x, 0) = f (x)
The given heat equation, ut(x, t) = uxx(x, t), subject to boundary conditions u(0, t) = u(1, t) = 0 and initial condition u(x, 0) = f(x), can be solved using separation of variables and Fourier series.
The heat equation is given as ut(x, t) = uxx(x, t), subject to the boundary conditions u(0, t) = u(1, t) = 0 and the initial condition u(x, 0) = f(x).
1. Assume a separable solution: u(x, t) = X(x)T(t), where X(x) represents the spatial component and T(t) represents the temporal component.
2. Substitute the assumed solution into the heat equation:
X(x)T'(t) = X''(x)T(t).
3. Divide both sides of the equation by X(x)T(t) to separate the variables:
T'(t)/T(t) = X''(x)/X(x) = -λ².
4. Solve the temporal equation T'(t)/T(t) = -λ²:
Integrate both sides with respect to t:
∫ (1/T)dT = -λ² ∫ dt.
ln|T(t)| = -λ²t + C₁, where C₁ is a constant of integration.
Exponentiate both sides:
T(t) = C₁exp(-λ²t).
5. Solve the spatial equation X''(x)/X(x) = -λ²:
X''(x) + λ²X(x) = 0.
The boundary conditions u(0, t) = u(1, t) = 0 imply that X(x) must satisfy X(0) = X(1) = 0.
The solutions to the spatial equation are given by X(x) = sin(nπx), where n is a positive integer.
6. Combine the temporal and spatial components to obtain the general solution:
u(x, t) = ΣCₙsin(nπx)exp(-n²π²t), where Σ represents the summation over all positive integers n.
7. To determine the coefficients Cₙ, we use the initial condition u(x, 0) = f(x):
Substitute t = 0 into the general solution:
u(x, 0) = ΣCₙsin(nπx) = f(x).
Compare the Fourier sine series expansion of f(x) with the general solution to find the coefficients Cₙ.
In conclusion, the solution to the given heat equation ut(x, t) = uxx(x, t) with boundary conditions u(0, t) = u(1, t) = 0 and initial condition u(x, 0) = f(x) involves separating the variables, solving the resulting differential equations, and determining the coefficients using the Fourier sine series.
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Since the question is incomplete, so complete question is:
The figure shows a trapezium. What is it's area ab=8 ad=10 bc=16 ?
Answer:
104m²
Step-by-step explanation:
area trapezium: ((Major base(bc)+ Minor base(ad))*height(ab))/2
area trapezium: [(16+10)*8]/2
(26*8)/2
208/2
104m²
In Luther v Borden, 1849 the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government. T or F?
In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.
Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.
The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.
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awnser please now !!!!!!!!!!!!!!
Answer:
(2, 0)
Step-by-step explanation:
The x intercept is when y is equal to 0.
Therefore,
8x-1/3*0=16
8x=16
x=2
The answer is (2,0)
Answer:
2,0
Step-by-step explanation: Sorry I don't have an step-by-step explanation .
how many square feet of out door carpet will we need for this hole
Answer:
36ft2 (sos if im wrong!)
Step-by-step explanation:
area of triangle
base x height / 2
7 x 12 / 2 = 42ft2
area of rectangle
base x height
3 x 2 = 6ft2
42 - 6 = 36ft2
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
2000 people are selected randomly from a certain population and it is found that 389 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall
Answer: 0.195
Step-by-step explanation:
given data:
population = 2000 people.
people Who are over 6 feet tall = 389.
Solution:
the point estimate of people over 6feet tall
= no of people over 6 feet tall / total population size
= 389/2000
= 0.195
the point estimate of people over 6 feet tall is 0.195
a graph from a rational function cannot cross a horizontal asymptote true or false
Answer:
False
Step-by-step explanation:
You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.
AsymptoteOnce a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.
The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.
An example with the asymptote y = 0 is attached.
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1 52/100 as a mixed number in decimal form
Answer:
I'm pretty sure its 1.52
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
5-6x+8x² divided x-1
Answer:
4+2x
Check attached file for steps :)
What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?
Answer:
3791
Step-by-step explanation:
Answer:
3791
Step-by-step explanation:
2872+919=3791
2872 + 919 = 3791
2872+919=3791
2872+919=3791
Math question! I don't understand! can I have an explanation?
Answer:
linear monomial
Step-by-step explanation:
so uh i need help :')
can u ppl give me an example of statistics for math pls at least one itll be fine
Answer:
A statistic is a number that represents a property of the sample. For example, if we consider one math class to be a sample of the population of all math classes, then the average number of points earned by students in that one math class at the end of the term is an example of a statistic
Step-by-step explanation:
4.) Of all listeners who call the local radio station on the telephone, 60% are between the ages of 15 and 25. A random number generator is used to simulate 20 groups representing the next 6 listeners who will call the radio station.
a.) What numbers could be used to represent the people inside and outside the 15 to 25 age range?
b.) Based on the trials below, what is the probability that the next six callers are all within the age range?
(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)
(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)
(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)
(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)
(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)
Answer:
(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)
(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)
(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)
(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)
(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)
Step-by-step explanation: