The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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the base of a triangle is seven more than twice the height. the area of the triangle is 73.5 square feet. find the measures of the base and height of the triangle.
The base and height of the triangle are 21 and 7 respectively.
What is the base and height of a triangle?Area of the triangle = [tex]\frac{1}{2} bh[/tex]
= 73.5
Where, b is the base of a triangle
h is the height of the triangle
Let the base of the triangle = b
Here, b = 2h + 7
Area of the triangle = 1/2 (2h +7)h = 73.5
[tex]= > 2h^{2} +7h = 73.5*2 \\\\= > 2h^{2} +7h = 147\\\\= > 2h^{2} +7h -147 = 0\\\\= > h = 7[/tex]
Height of the triangle = h = 7
Base of the triangle = b = 2h + 7
= 2(7) +7
b = 21
The base and height of the triangle are 21 and 7 respectively.
What is the area of a triangle?The total amount of space allotted to a triangle's three sides in a two-dimensional plane is known as the area of a triangle. Half of the product of a triangle's base and height is the basic formula for calculating its area. Whether it be a scalene triangle, isosceles triangle, or equilateral triangle, this formula works for all triangle kinds. You should keep in mind that a triangle's base and height are parallel to one another. The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another.To learn more about triangles, refer:
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Part A what is the equation that can be used to solve for x
Part b what is the value of x
Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?
The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.
In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.
One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.
The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.
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Complete Question:
Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?
3.8x10^-2 as an ordinary number
Answer:0.038
Step-by-step explanation:
The ordinary number equivalent of 3.8x10⁻² is expressed as 0.038.
To express the number 3.8x10⁻² as an ordinary number, we need to understand scientific notation. In scientific notation, numbers are written in the form of a coefficient (a decimal number greater than or equal to 1 but less than 10) multiplied by 10 raised to a certain power (positive or negative). This notation is commonly used to represent very large or very small numbers in a concise and standardized way.
Let's break down 3.8x10⁻² step by step:
The coefficient: 3.8
The coefficient is the decimal part of the number, which should be greater than or equal to 1 but less than 10. In this case, the coefficient is 3.8.
The exponent: -2
The exponent indicates the power of 10 to which the coefficient is raised. If the exponent is negative, it means the number is less than 1. In this case, the exponent is -2, which means we are dividing the coefficient by 100 (10 raised to the power of -2 is 1/100).
Now, to express 3.8x10⁻² as an ordinary number, we simply perform the calculation:
3.8 × 10⁻² = 3.8 ÷ 100 = 0.038
So, the ordinary number equivalent of 3.8x10⁻² is 0.038.
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1) Is the triangle right angled?
8cm
16cm
18cm
Answer:
for right angle triangle ...by Pythagoras theorem
18^2 = 8^2 + 16^2
324 = 64 + 256
324 = 320
which is not true ....
hence not a right angle triangle
Suav buys 7 bottles of orange juice at the corner store for a total cost of $4.06. If each bottle costs the same amount, how much is 16 bottles of juice?
Answer:
is will end up costing 9.28
Step-by-step explanation:
all u need to do was divide the 4.06 by the 7 then the answer to that u multiple it by 16 and then u have ur final answer
Answer: $9.28
Step-by-step explanation:
Each bottle should cost 0.58 cents because 0.58 * 7=$4.06. SO if you multiply 0.58 by 16 (bottles) it will give you $9.28
What is the diameter of a P210/60R17 tire?
the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5" overall diameter of the tire is indicated by the first digit.
What is diameter of tire ?Remembering that the tire diameter is made up of two sidewalls—the one above the wheel and the one below the wheel hitting the ground—and adding the diameter of the wheel, the sidewall height must be multiplied by two to determine the tire's overall diameter.
given ,
size = 210 / 60R17
The overall diameter of the tire is indicated by the first digit. The tire diameter or "height" in this illustration is 210 inches tall. The tire's breadth is shown by the second digit. When using tires with inch measurements, the width will typically contain a.50 decimal after the first digit.
the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5"
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How do you simplify 25^(1/2) ?
Answer:
The answer should be 5
Step-by-step explanation:
Hope it helps
Answer:
a b over c = c √ab
25 1/2 = 2√25 to the power of 1 → A number to the power of 1 is itself
√25
5
Step-by-step explanation:
what is the solution to the equation 3 (2 x 5) = 3 x 4 x?x = 0x = 4x = 5
The answer to the equation 3(2x-5)=3x is 5, which corresponds to value option C first from list.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression in mathematics is made up of numbers, variables, and functions. You can think of expressions as being similar to phrases.
Here,
3(2x-5)=3x
6x-15=3x
3x=15
x=5
The solution to the expression 3(2x-5)=3x is 5 that is option C from the given choices of value.
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Can someone help, it is a proportion q
b(x) = 6x², when x = 16
Answer:
Step-by-step explanation:
b(x)=6x^2
That is the same as b(x)=6*x*x
when x=16
b(16)=6*16*16=1536
Max Says that the product 30 x 10 by 4 has exactly four zeros
Max Says that the product 30 x 10 by 4 has exactly four zeros is not true.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to check whether product 30 x 10 by 4 has exactly four zeros
firstly we have to multiply thirty with ten
Now multiply 30×10=300
Which has two zeros and now we have to divide it by 4
300/4
Three hundred by four
75
Seventy five.
Hence, Max Says that the product 30 x 10 by 4 has exactly four zeros is not true.
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kevin opened a savings account with texas national bank. his account has an apr of 1.75% compounded quarterly. if kevin opens his account with $2500, how long will it take for the account to earn $7500?
It will take 62.91 years for Kevin to make the amount $2500 to $7500 .
In the question ,
it is given that ,
the amount that Kevin deposited (P) in bank = $2500
the interest rate (r) = 1.75% ,
the compound interest is quarterly ,
So , n is = 4 .
let the time taken to earn $7500 be = x years ;
Substituting the values in the Amount formula for the Compound Interest ,
Amount = P(1 + r/n)ⁿˣ
7500 = 2500(1 + 0.0175/4[tex])^{4x}[/tex]
Simplifying further ,
we get ,
3 = (1.004375[tex])^{4x}[/tex]
After applying log both the sides ,
we get ,
log(3) = 4x*log(1.004375)
x = log(3)/(4*log(1.004375))
Simplifying further ,
we have ,
x = 62.91 years .
Therefore , the time taken is = 62.91 years
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Solve the picture below
f(-7) will be equal to (-13) using given function and conditions.
What are function?
Function is an expression rule, or law that defines relationship between one variable and another variable.
An example of this would be y = x^2. If you put in anything for x, you get one output for y.
In given function,
y is represented by f(x),
f(x) = -x-6 for x ≠ 0
f(x) = 2 for x = 0
We need to find for x = -7 i.e. not equal to 0
So, we will take F(x) = -x-6
So, f(-7) = -7-6
= -13
So, the value of f(-7) = -13.
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If we reject the null hypothesis, we conclude that: there is enough statistical evidence to infer that the alternative hypothesis is true. there is not enough statistical evidence to infer that the alternative hypothesis is true. there is enough statistical evidence to infer that the null hypothesis is true. there is not enough statistical evidence to infer that the null hypothesis is true.
If we reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the null hypothesis is true.
In hypothesis testing, the researcher makes a claim about the population and then uses a sample of the population to determine whether or not the claim is accurate. Before the sample is drawn, the degree of significance—or the predicted error—must be determined. The validity of a claim is determined by the value of a test statistic.
The researcher rejects the provided null hypothesis if the test statistic's value is significant. When the null hypothesis is rejected, there is no discernible difference between the hypothesized value and the sampled observations. If the null hypothesis is rejected, it is determined that there is insufficient statistical support to draw the conclusion that it is true.
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[1/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.021. Find the Taylor series for f(x) centered at the given value of a- [Assume that has power series expansion Do not show that Rn(x) 0.] f(x) = In(x) , a = f(x) In(9)
The Taylor series of the function is the sum of derivatives of the function up to infinite.
The Taylor series for a function f(x) centered at a is given by:
f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...
To find the Taylor series for f(x) = In(x) centered at a = In(9), we can plug in the values into the formula above:
In(x) = In(9) + In'(9)(x-In(9)) + In''(9)(x-In(9))^2/2! + In'''(9)(x-In(9))^3/3! + ...
= In(9) + (1/9)(x-In(9)) - (1/81)(x-In(9))^2 + (1/729)(x-In(9))^3 + ...
This is the Taylor series for f(x) = In(x) centered at a = In(9).
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Plss help only question 12
Answer:
Step-by-step explanation:
Let's try negative number for n.
n = -3
(n+1)/n
(-3 + 1)/-3 => -2/-3
=> 0.66
Which is less than 1, so therefore the original statement is false
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The value of the number will be;
⇒ x = - 11
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''
Now,
Let the quantity of a number = x
So, We can formulate;
⇒ 3x + 7 = x - 15
Solve for x as;
⇒ 3x - x = - 15 - 7
⇒ 2x = - 22
⇒ x = - 11
Thus, The value of the number will be;
⇒ x = - 11
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NEED TIS AS SOON AS POSSIBLE
Select the section of the timeline that represents when the United States Constitution was written and ratified.
<--1725---1750---1775---1800--1825---1850---1875--1900-->
The timeline that represents when the constitution of unites states was written and ratified is 1787 and 1788
What is a timeline?
A timeline is a visual representation of a sequence of events in time. It usually takes the form of a graphic with a long bar with dates paralleling it, usually indicating current occurrences.
We are given a timeline and we have to represent the tine when united states constitution was written and ratified
Now the constitution of united states was written in 1787.
And was ratified in 1788
Now we have to represent this point on the timeline
To do that we use graph
we get,
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What is the center and radius of the circle defined by the equation x² y² 49?
The equation x² + y² = 49 can be written in standard form as (x-0)² + (y-0)² = 49, which is the equation for a circle with a center at (0, 0) and a radius of 7.
The equation for a circle is (x-h)² + (y-k)² = r², where (h, k) represents the center of the circle and r represents the radius.
In order to find the center (h, k) and radius (r) of the circle, we need to rearrange the equation to put it in the standard form. To do this, we subtract 49 from each side of the equation, which will give us x² + y² - 49 = 0. Then, we can factor the equation to get (x² + y²) - 7(7) = 0. This can be further simplified to (x + 7)(x - 7) + (y + 7)(y - 7) = 0.
Since there are no solutions for (x + 7) or (x - 7) when set equal to 0, we can conclude that the equation for the circle is (x-0)² + (y-0)² = 49, which is the equation for a circle with a center at (0, 0) and a radius of 7.
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True or False?
need answer asap thanks
Answer: False
Step-by-step explanation:
Write equivalent fractions for
2/3
and
5/12
using the least common denominator.
The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for 5/12 is (4×5)/(4×12) = 20/48.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.
The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.
We have to multiply the same number to both the numerator and denominator to get equivalent fractions.
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There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is blue is 1:2. How many pieces of chalk are blue?
The number of pieces of blue chalk is 6.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Let x be the number of blue chalk and y be the number of yellow chalk.
Given that, the ratio of yellow chalk and blue chalk is 1:2.
And there are 18 pieces of chalk.
That means the expression x + y = 18
And according to condition,
x/y = 1/2
Using cross multiplication,
2x = y
And we have the expression ,
x + y = 18
substituting 2x = y,
x + 2x = 18
3x = 18
x = 6
Therefore the number of pieces of blue chalk is 6.
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suppose we produced 10,000 new samples, each one a uniform random sample of 1,000 voters, and created a 95% confidence interval from each one. roughly how many of those 10,000 intervals do you expect will actually contain the true proportion of the population?
A proportion of 0.455 and 0.505 contain the true portion of the total population of 10,000 with 95%confidence.
What is a random sample in statistics?A sampling technique called random sampling, also known as probability sampling, enables the randomization of sample selection, meaning that each sample has the same chance of being chosen to reflect the entire population.
How do you know if a sample is random?Every subject in your target demographic must have an equal probability of being chosen for your sample in order for it to be considered truly random. This assumption might be broken, for instance, by performing a survey to determine how much time college students spend working out each week at your campus.
If 95% of all the samples, then we expect between 45.5% and 50.5% of the total samples contain the true proportion of the population.
If we repeatedly make new samples, taking samples of size 10,000, approximately with 95% confidence of those samples would have between 45.5% and 50.5% containing true portion of population.
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A homeowner uses a coordinate plane to map the locations of a birdbath, a birdfeeder, and a birdhouse. The birdbath is at (2,2), the bird feeder is at (8,2), and the birdhouse is at (5,7).If the birdhouse is the same distance from the birdbath and from the birdfeeder, what is the area of the triangle formed by these three objects?
The area of the triangle formed by the birdbath, bird feeder and the birdhouse is 15 squared units
How to find the area of the triangle formed by these three objects?Given: the birdbath is at (2,2), the bird feeder is at (8,2), and the birdhouse is at (5,7)
(Consider the image attached)
The distance between the points can be calculated using the formula:
d=√((x2 – x1)² + (y2 – y1)²)
birdbath (5,7) and birdhouse (2,2)
d=√((2 – 5)² + (2 – 7)²) = √34
bird feeder (8, 2) and birdhouse (2,2)
d=√((2 – 8)² + (2 – 2)²) = 6
birdbath (5,7) and bird feeder (8,2)
d=√((8 – 5)² + (2 – 7)²) = √34
The height of the triangle is:
h = √((√34)²-3²) = 5
Area of triangle = 1/2 × base × h
Area of triangle = 1/2 × 6 × 5 = 15 squared units
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which model can be used to find 4/5 divided by 1/10
Answer:
8
Step-by-step explanation:
(4/5)/(1/10)
To solve, flip the second fraction, and instead of dividing, multiply:
(4/5)/(1/10) = (4/5) * (10/1)
Multiply straight across:
(4/5) * (10/1) = (4 * 10)/(5 * 1) = 40/5
SImplify. Divide:
40/5 = 8
8 is your answer.
Hope it helps
How do you simplify (16)^1/2 ?
The simplification of [tex](16)^{1/2}[/tex] is 4.
To simplify [tex](16)^{1/2}[/tex] , you can use the property of exponents that says that [tex]{(a^b)}^c = a^{(b*c)[/tex]. Therefore, [tex](16)^{1/2}[/tex] can be rewritten as [tex]16^{(1/2)}[/tex].
The square root of 16 is 4, so [tex]16^{(1/2)}[/tex] = 4. Therefore, [tex](16)^{1/2}[/tex] = 4.
You can also simplify [tex](16)^{1/2}[/tex] by writing 16 as a product of its prime factors: 16 = [tex]2^4[/tex]. The square root of 16 is the same as the square root of 2^4[tex]2^4[/tex], which is [tex]2^{(4/2) = 2^2} = 4[/tex]. Therefore, [tex](16)^{1/2}[/tex] = 4.
Simplification is a process of making something simpler or easier to understand. This can be done by reducing the complexity of a system, removing unnecessary components, or making the language more concise.
Simplification complexity is the process of reducing the complexity of a problem, system, or process. This can involve breaking down a complex problem into smaller, more manageable parts, or reorganizing the system or process to make it simpler and easier to understand and use. Simplifying complexity can make a system or process more efficient and easier to maintain.
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what's the probability you don't roll doubles on your first roll, then roll doubles on your second roll?
We have a 1/6 chance of rolling doubles on the first roll. The odds of rolling a double on the second turn but not the first are (5/6) x (1/6) = 5/36.
So we have a total of 36 outcomes over here. So we have 36 possibilities, and if we simplify this, 6/36 is 1/6. So the chance of rolling doubles on two six-sided dice numbered 1 to 6 is 1/6.
The odds of rolling a double on the second turn but not the first are (5/6) x (1/6) = 5/36.
We'll now look at the chances of getting out of jail by rolling doubles. Because there are more possibilities to examine, this probability is significantly more complex to compute.
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A direct variation includes the points (3, -18) and (-2, n). Find n. Write and solve a direct variation equation to find the answer.
n =
Using Direct Variation, the value of n = 26
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to Write y = kx based on the conditions stated.
Replace with: -18 = k x 3
Turn the sides around: k × 3 = -18
Now Subtract the coefficient of the variable from both sides of the equation:
k = 26 compute the product or quotient.
Write the function's equation as;
y = 26x
Replace with:
n = 26 × 4
n = 104; compute the product or quotient.
Response: n = 26
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Randy starts biking at a rate of 6 miles per hour toward a store that is 20 miles away. Cali leaves the store when Randy starts biking. Cali bikes toward Randy along the same route at 2 miles per hour. How many hours will pass before they meet on the road?
PLEASE HELP
Answer:
5.5 hours
Step-by-step explanation:
6, 12, 18
20, 18, 16, 14, 12, 10, 8, 6, 4, 2
