\(answer = \frac{328}{16} = 20.5\)
1. Which distribution is used to compute the p-value in a binomial test of H0: p=0.4, on the basis of a sample of size n=8, if the null hypothesis of the test IS TRUE?
a. Binomial (9,0.4)
b. Binomial (9,p) for some proportion p other than 0.4
In a binomial test, the null hypothesis assumes a specific probability of success (p) for each trial. The correct answer is a. Binomial (9,0.4).
To compute the p-value, we compare the observed results with the null hypothesis. Since the null hypothesis is true, we use the assumed probability of success, which is p=0.4, to calculate the expected distribution.
In this case, we would use the binomial distribution with parameters (n=8, p=0.4) to determine the probability of observing the obtained results or results more extreme, which gives us the p-value.
The binomial distribution with parameters (n=8, p=0.4) represents the distribution of the number of successes in a fixed number of independent Bernoulli trials with a success probability of 0.4.
This distribution allows us to calculate the probability of observing a specific number of successes in the sample or a more extreme result, which helps us determine the p-value for testing the null hypothesis.
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In △def, d = 20, e = 25, and f = 30. find m∠f to the nearest degree.
m∠f to the nearest degree is 83°.
The Law of Cosines is used to find an angle when all triangle sides are known.
f² = d² +e² -2de cos(F)
To find angle ∠F, we need to find the value of cos(∠F), which we can do by rearranging the Law of Cosines as follows:
cos(F) = (d² +e² -f²) / (2de)
cos(F) = (20² + 25² - 30²) / (2 × 20 × 25)
cos(F) = (400 + 625 - 900) / (1000)
cos(F) = 125/1000
∠F = arccos(1/8)
∠F = 82.8°
Rounding to the nearest degree
∠F = 83°
Hence, m∠f to the nearest degree is 83°.
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PLEASE HELP TY OMG TYTYTY
Answer:
-14x
Step-by-step explanation:
To put in simple terms, this question is asking what -2x+-12x is. To solve this you must add -2 and -12. So... -2+-12=-14. Then add the one "x" at the end.
Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answer:
Its C I just did this
Step-by-step explanation
For the equation shown below, solve for \( y \) as a function of \( x \) and express the result in function notation. Use \( f \) for the name of the function. \[ -12 x+4 y=32 \] The function is
The function that represents the given equation is:
f(x) = 3x + 8
The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.
Adding 12x to both sides, we get 4y = 12x + 32.
To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.
Hence, the function that expresses y as a function of x is:
f(x) = 3x + 8.
Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.
In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.
Therefore, the function that represents the given equation is:
f(x) = 3x + 8
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Subtract 11b^2 - 4b + 7 from b^2 + 8b - 9 ?
Subtract 11b^2 - 4b + 7 from b^2 + 8b - 9 ?
That is
\(b^2+8b-9-(11b^2-4b+7)=b^2+8b-9-11b^2+4b-7\)Collecting like terms we have
\(b^2+8b-9-(11b^2-4b+7)=b^2-11b^2+8b+4b-9-7=-10b^2+12b-16\)Hence the result of the subtraction is
\(-10b^2+12b-16\)Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.
Answer:
not a right triangle
Step-by-step explanation:
you can use the pythagorean theorem to prove whether not this is a right triangle
if this triangle is a right triangle then the following equality should be true
a²+b²=c²
(9.75)²+(3.45)²=(10.24)²
(95.06)+(11.90)=(104.86)
106.96≠104.86
since the following equality is not true, this is not a right triangle.
Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)
Will give brainiest if correct!Please help(• ◡•)
Which of the following statements is NOT true?
What is the difference between the perimeter of the bigger
rectangle and smaller rectangle?
The difference between the perimeters of the two rectangles will be 4x + 3
The formula for the perimeter of rectangle is given as :
P = 2(L + B)
Where P = perimeter of the rectangle
L = length of the rectangle
B = breadth of the rectangle
Now we have given two rectangle on is smaller than the other.
To find the difference between the perimeter of the two rectangles. We will first calculate the perimeter of both the rectangle.
Perimeter of the bigger rectangle = 2( 5x + 3 + 2x)
= 2(7x + 3)
= 14x + 3
Perimeter of the smaller rectangle = 2(2x + 3x)
= 2*5x
=10x
Difference between the two perimeters = (Perimeter of the bigger rectangle) – (Perimeter of the smaller rectangle)
= (14x + 3) – 10x
= 4x + 3
Thus the difference between the perimeters of the two rectangle will be 4x + 3
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toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.
Amount of water that the bottle can hold = 32 ounces
Bottles of water consumed = 2
A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.
Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -
= w > 2 × 32
Therefore,
Simplifying the right side of the inequality:
w > 64
Complete Question:
Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
a. w>2
b. 32<w
c. w = 64
d. 64<w
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6. Evaluate the following expression:
(6 + h-j)/2 Where h = 6 andj = 4
2
=
-
Step-by-step explanation:
is j= 42
I can't understand the question properly
Please help me no links im timed 1 question HELP ME!!!
Answer:
c. add 5 to each side
Step-by-step explanation:
Answer:
c. add 5 to each side
Step-by-step explanation:
that's the fastest way to get y=20
Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
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Mckenna was asked to write the following expression in standard form. 3-5(3a 6)3−5(3a 6) when writing the expression in standard form, mckenna made a mistake. \begin{array}{rrr}3-5(3a 6)
The first mistake McKenna made when change the expression to standard form is in step 2.
What is PEMDAS?PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.
For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.
In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.
You question is incomplete, but most probably your full question was
McKenna was asked to write the following expression in standard form.
3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.
3−5(3a+6)
3+(−5)(3a+6) Step 1
−2(3a+6) Step 2
−6a+(−12) Step 3
−6a−12 Step 4
McKenna made her first mistake in
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A company charges its customers a flat fee of $6 plus an additional $5 per hour to kennel a dog. A function, C(h), can be used to describe the relationship between the number of hours, h, and the total amount, in dollars, of charges.
Write an equation in function notation to represent the function.
FILL IN THE BLANK. "Test Yourself
If a and b are positive integers and a | b, then ________ is less than or equal to _______."
If a and b are positive integers and a | b, then a is less than or equal to b.
The notation a | b means that a is a divisor of b, or in other words, b is a multiple of a. Since a is a positive integer and a is a factor of b, it follows that a must be less than or equal to b. This is because b is composed of a and some multiple of a, and so it must be greater than or equal to a.
For example, if a = 3 and b = 15, we know that 3 | 15 since 15 is a multiple of 3. In this case, a is equal to 3 and b is equal to 15, and we can see that a is less than b.
This property is important in number theory and is often used in proofs involving divisibility and prime numbers.
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please help me im so lost
Fun Station is having a sale. Video games are 20% off, board games are 50% off, and basketballs are $12. Let v represent the original price of a video game. Let b represent the original price of a board game. Write an equation to find the total sale price of 2 video games, 3 board games, and 1 basketball.
Answer:
y=1.6v+1.5b+12Step-by-step explanation:
Let v represent the original price of a video game.
Let b represent the original price of a board game.
let y be the total
y=v+b+12
Video games are 20% = 100-20= 80%= 0.8v
board games are 50% =100-50=50%= 0.5b
the total is now
y=0.8v+0.5b+12
the expression for the total sale price of 2 video games, 3 board games, and 1 basketball
y=2(0.8v)+3(0.5b)+12
y=1.6v+1.5b+12
Please answer for number 20
Answer:
1/24
Step-by-step explanation:
20) 1/6 / 4 = 1/6 * 1/4 = 1/24
Answer:
\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)
\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)
Step-by-step explanation:
Question 18
We know that the fraction rule is:
\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)
Thus,
\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)
Question 20
We know that the fraction rule is:
\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)
Thus,
\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)
What steps should be taken to complete the conversion? StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilometers Over 1 mile EndFraction times StartFraction 1000 meters Over 1 kilometer EndFraction = blank Cancel the mile and kilometer units. Divide 8 by 1.61, then multiply by 1000. Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000. Cancel the mile and kilometer units. Multiply 8 by 1.61, then divide by 1000. Cancel the mile and kilometer units. Multiply 8 by 1000, then divide by 1.61.
Answer:
Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000
Step-by-step explanation:
Given:
8 miles / 1 × 1.61 km / 1 mile × 1000 meters / 1km
The steps to be taken:
Step 1 : Cancel the mile and kilometer units.
Kilometers will cancel out Kilometers
Miles will cancel out Miles
8 miles / 1 × 1.61 km / 1 mile × 1000 meters / 1km
= (8 / 1 ) × (1.61 / 1 ) × (1000 meters / 1)
= 8 × 1.61 × 1000 meters
Step 2: Multiply 8 by 1.61, then multiply by 1000
8 × 1.61 × 1000 meters
= 12,880 meters
The next step to complete the conversion is to Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000
Answer:
Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000.
Step-by-step explanation:
Need help ASAP please
The graph of the quadratic function y(x) in the ty plane is a parabola containing the points (9,8) and (-5,8). Which of the following points could be the vertex of the parabola?
(0,2)
(2,5)
(4,10)
(7,0)
Answer:
(2, 5) is the correct answer.
Which option is a good name for a function that takes the number of gallons
of paint and returns the size of the room that can be painted?
Solve the inequality 4/3|1/4x+3|<4
Ox>-13 and x < -11
Ox<-13 and x > -11
Ox>-24 and x < 0
Ox>-24 and x > 0
The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0
How do we determine the absolute values?We can begin by isolating the absolute value on one side of the inequality:
4/3|1/4x+3|<4
|1/4x+3|<3/2
We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:
1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11
1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0
So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0
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Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
The value of (8x^(3)-24x^(2)y^(2)+36x)-:6x is 4x^2/3 - 4xy^2 + 6
Step-by-step explanation:
3 out of every 7 workers in a factory are male. How many male workers are there if there are 24 female workers?
Answer: I guess its 10?
Step-by-step explanation:
Answer:28
Step-by-step explanation:
4x/7=24
x=42(total workers)
male workers=42-24=28
Find the value of x such that (1 + x ) / x = √5 Giving your answer in the form a +b√5 where a and b are rational numbers.
The value of x that satisfies the equation (1 + x) / x = √5 is (1 + √5) / 4.
What is the rational numbers?
A rational number is a number that can be written as a fraction, is a whole number, is a decimal that stop or is a repeating decimal.
Starting with the equation:
(1 + x) / x = √5
We can first multiply both sides by x to eliminate the fraction:
1 + x = x√5
Next, we can isolate the x term on one side of the equation and all the other terms on the other side:
x√5 - x = 1
Factor out the x on the left side:
x(√5 - 1) = 1
Finally, divide both sides by (√5 - 1):
x = 1 / (√5 - 1)
To simplify this expression, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator, which is (√5 + 1):
x = (1 / (√5 - 1)) * (√5 + 1) / (√5 + 1)
Simplifying the numerator by distributing:
x = (√5 + 1) / ((√5 - 1) * (√5 + 1))
The denominator simplifies to:
(√5 - 1) * (√5 + 1) = 5 - 1 = 4
Therefore:
x = (√5 + 1) / 4
Hence, the value of x that satisfies the equation (1 + x) / x = √5 is (1 + √5) / 4.
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The area of an animal pen is 30 square feet. what are the legnths of the pen's sides if the pen has each given shape?
L = 1.3245 is the legnths of the pen's sides .
What is area and perimeter?
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)
So W = 30 - 2L.
Area = L x W = L (30 - 2L) = 30L - 2L^2.
This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .
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Consider the wave function for a particle ψ(x)=
(2/A)
sin
A
πx
(a) Compute the probability of finding the particle between x=0 and x=A (you will need to do an integral). Comment on the physical interpretation of your answer. (b) Compute the probability of finding the particle between x=0 and x=A/2 (you will need to do an integral). Comment on the physical interpretation of your answer.
(a) The probability of finding the particle between x=0 and x=A is 1.
(b) The probability of finding the particle between x=0 and x=A/2 is 0.5.
(a) To compute the probability of finding the particle between x=0 and x=A, we need to integrate the square of the wave function over this interval. The square of the wave function is given by |ψ(x)|^2 = (4/A^2) * sin^2(Aπx). Integrating this expression from x=0 to x=A gives us the probability. The integral is as follows:
P = ∫[0 to A] |ψ(x)|^2 dx
= ∫[0 to A] (4/A^2) * sin^2(Aπx) dx
= (4/A^2) * ∫[0 to A] sin^2(Aπx) dx
= (4/A^2) * (A/2)
= 1
Hence, the probability of finding the particle between x=0 and x=A is 1, which means the particle is guaranteed to be found within this interval.
(b) Similarly, to compute the probability of finding the particle between x=0 and x=A/2, we integrate the square of the wave function from x=0 to x=A/2:
P = ∫[0 to A/2] |ψ(x)|^2 dx
= ∫[0 to A/2] (4/A^2) * sin^2(Aπx) dx
= (4/A^2) * ∫[0 to A/2] sin^2(Aπx) dx
= (4/A^2) * (A/4)
= 0.5
Therefore, the probability of finding the particle between x=0 and x=A/2 is 0.5, indicating a 50% chance of finding the particle within this interval.
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Explore what happens if we add, subtract or multiply triangular matrices? do we get a triangular matrix or something else?
The thing that happens if we add, subtract or multiply triangular matrices is:
If we multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular.
What is a Triangular Matrix?This refers to a special kind of square matrix where all the entries above the main diagonal are zero.
Thus, if you multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular.
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