Find the greatest common factor of 54gh, 72g

z = -2.51 is the required test statistic.

A statistic employed in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.

This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.

So, we have to use: Ha: pB < pNY

This implies that the alternative thesis is revised as follows:

Ha: pB - pNY < 0

In contrast to the null hypothesis:

H₀: pB - pNY = 0

This is the test statistic:

z = X - μ/a

Now, pB = 0.581, pNY = 0.832.

It follows that: X = 0.581 - 0.832 = -0.251

The test for the null hypothesis is 0.

This follows to: μ = 0

Standard deviation: 0.1

This follows to: s = 0.1

Test statistic:

z = X - μ/a

z = -0.251-0/0.1

z = -2.51

Therefore, z = -2.51 is the required test statistic.

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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)

The answer will be option B. The y-values are all greater than or equal to 2.

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.

Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.

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Answer:

this is a right angled triangle

Step-by-step explanation:

It has a 90 degree angle

the hypotenuse is the longest

The other two sides adjacent to the right angle are perpendicular

It could also be called an isosceles right angled triangle

Answer:

Right angled and Isosceles

Step-by-step explanation:

Right angled because one corner of the triangle is marked with a square, which shows it is 90degrees.

Isosceles because 2 angles and 2 sides have been marked with similar lines and curves, which shows that they are equal in length. When 2 angles and 2 sides are equal, the triangle is isosceles.

Hope this helps.

Good Luck

hexagon has 6 sides, and a pentagon has 5, can I have a crown?

Answer:

Erika

one more side

Step-by-step explanation:

Pentagon has 5 sides

Hexagon has 6 sides

Answer:

James deliver newspaper in 1 hour=130

Marks deliver newspaper in 1 hour= 210/3=70

so lf they work together to deliver 1000 newspaper they take 130+70=200. 1000/200=5.

so they take 5 hours to deliver 1000 newspaper.

It would take 5 hours for James and Mark to deliver 1000 newspapers.

Equation is an expression used to show the relationship between two or more variables and numbers.

James delivers 130 papers in one hour (130/1) and Mark delivers 210 papers in three hours(70 papers in 1 hours), hence:

For 1000 newspapers:

(130 + 70)t = 1000

t = 5 hours

It would take 5 hours for James and Mark to deliver 1000 newspapers.

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The length of the base of the triangle is approximately 34.2 cm.

To find the length of the base of the isosceles triangle, we can use the cosine rule.

The cosine rule states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c is A, we have:

c² = a² + b² - 2ab × cos(A)

In this case, the congruent sides of the isosceles triangle are each 50 centimeters, so we have:

a = b = 50 cm

The vertex angle measures 40°, so A = 40°. Let's calculate the length of the base (c):

c² = 50² + 50² - 2 × 50 × 50 × cos(40°)

Now we can solve for c:

c² = 2500 + 2500 - 5000 × cos(40°)

c² = 5000 - 5000 × cos(40°)

c² = 5000 × (1 - cos(40°))

c = sqrt(5000 × (1 - cos(40°)))

Using a calculator, we find that c ≈ 34.2 cm.

Therefore, the length of the base of the triangle is approximately 34.2 cm.

So, the correct answer is: 34.2 cm

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The segment AC is the angle bisector of angle BAD and angle BCD.

A ray, segment, or line that divides a given angle into two equal angles is known as an angle bisector.

When something is bisected or bisected, it is split into two equal sections. In geometry, an angle bisector is a line or ray that divides a triangle into two equal angles.

Given that ΔABC ≅ ΔADC Prove: AC bisects ∠BAD and AC bisects ∠BCD​.

From the given data it is concluded that all the corresponding angles of the triangle are equal to each other.

In the triangle ABC and ADC:-

∠BAC = ∠DAC

∠BCA = ∠DCA

From the above proof, it is concluded that the AC bisects ∠BAD and ∠BCD.

Therefore, the segment AC is the angle bisector of angle BAD and angle BCD.

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Answer:

divide the previous value by 5

Step-by-step explanation:

5^2=25, 5^1=5, 25/5=5

The answer is C :)

Have a nice day

Correct on edge.

Answer:

A) a²-2a+2a-4 the a is correct check my explanation to understand the answer.

Step-by-step explanation:

(a+2)(a-2)= a²-2a+2a-4

The value of the constant "a" in the inequality P(|Mn - μ| ≥ ε) ≤ aσ^2/n is 1.

The value of "n" can remain the same when changing ε from 0.1 to 0.1/k, as long as the desired upper bound remains unchanged.

To determine the value of the constant "a" in the inequality P(|Mn - μ| ≥ ε) ≤ aσ^2/n, we can use Chebyshev's inequality. Chebyshev's inequality states that for any random variable with mean μ and variance σ^2, the probability that the random variable deviates from its mean by at least k standard deviations is at most 1/k^2.

In our case, we have ε = 0.1 and we want to find the value of "a" for this specific value. Since ε is the desired accuracy, we are interested in the probability of the sample mean Mn deviating from the true mean μ by at least ε. Using Chebyshev's inequality, we have:

P(|Mn - μ| ≥ ε) ≤ 1/k^2

We can rewrite this inequality as:

P(|Mn - μ| ≥ 0.1) ≤ 1

Therefore, the value of "a" for ε = 0.1 is 1.

For the second part of the question, where ε = 0.1/k, we want to determine how to change the value of "n" so that the upper bound remains the same. Substituting ε = 0.1/k into the inequality, we have:

P(|Mn - μ| ≥ 0.1/k) ≤ 1

To keep the upper bound unchanged, we need to ensure that the right-hand side of the inequality remains 1. Since the right-hand side does not depend on "n", changing ε to 0.1/k does not require any adjustment in the value of "n".

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Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

The height in feet of the tree is 111.5 ft.

The height of a house is 52 ft.

A tree beside the house is 7.5 ft more than twice as tall.

The height of the tree is as follows:

let

x = height of the house

Therefore,

The height of the house = x = 52 ft

Hence,

height of the tree = 7.5 + 2x

height of the tree = 7.5 + 2(52)

height of the tree = 7.5 + 104

height of the tree = 111.5

height of the tree = 111.5 ft

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Answer:

Slope= -1/3

Step-by-step explanation:

The slope is found using (y₂ - y₁) / (x₂ - x₁)

(y₂ - y₁)

So let's do the numerator first with the y. -52-(-32). The two negative signs  make 32 positive so -52 + 32= -20

(x₂ - x₁)

Now the denominator, x. -10-(-70). Same thing here, the two negative signs  make 70 positive so -10 + 70 = 60

(y₂ - y₁) / (x₂ - x₁)

Now put them together so -20/60 which equals -1/3 which the slope

Equations that contain multiplication or division, you should use the inverse operations of multiplication or division. The inverse operation is a mathematical operation that reverses the effect of another operation.

For multiplication equations, the inverse operation is division, and for division equations, the inverse operation is multiplication. Let's see how to apply these inverse operations to solve equations that contain multiplication or division.Division equations:To solve equations that contain division, you should use multiplication as the inverse operation. Follow these steps:1. If there is a term added to or subtracted from the variable, move it to the opposite side of the equation.2. Multiply both sides of the equation by the divisor of the variable.3.

Simplify the equation and solve for the variable.Example: Solve the following equation for x: 4x ÷ 2 = 10Solution:1. Move the term added to or subtracted from the variable to the opposite side of the equation. 4x ÷ 2 = 10 4x = 2 × 10 4x = 202. Multiply both sides of the equation by the divisor of the variable. 4x = 20 x = 20/4 x = 5

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Answer:

Given value = 2384.653

We are required to round off to the nearest whole number.

Step-by-step explanation:

To round the digit or number nearest whole number first see the digit or number at the first decimal place and tenth place value. If the value at the tenth place is 5 or more than 5 then the one place number will be increased by one. For example. 9.63 will be written as the 10  because after decimal the value is more than 5.

Similarly, the 2384.653 is written as 2385.

Answer:

19.5 because if we do hundred then it well equal to 19.5

Answer: The solutions of the absolute value equation are given by:

x = -41 and x = 49.

What is the absolute value function?

The absolute value function is defined by:

|x| = x, x >= 0.

|x| = -x, x < 0.

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:

x = a, or;

x = -a.

In this problem, the equation is given by:

Hence:

0.2|x - 4| = 9

|x - 4| = 45

The first possible solution is:

x - 4 = 45

x = 49.

The second possible solution is:

-x + 4 = 45

-x = 41

x = -41.

Hence the solutions are x = -41 and x = 49.

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Step-by-step explanation:

The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

According to the statement

we have a given that the Among the 1000 respondents,

12​% chose chocolate​ pie, and the margin of error was given as

±5 percentage points.

and we have to explain the statement that the margin of error was given as ±5 percentage​ points.

We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

And this statements also indicates the interval between the like and unlike respondents of chocolate pie.

So, this statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

So, The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

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Answer:

No

Step-by-step explanation:

If he used that method it would end up as 95

in the original equation the answer is 86.5

Answer:

The solution x > 10 can be represented in two ways such as:

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

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The answer is 16/15, don’t ask ok, used a calculator

On Monday he reads 2 pages, on Tuesday he reads 6 pages (triple of 2: 2 + 2 + 2 = 6), on Wednesday he reads 18 pages (triple of 6: 6 + 6+ 6 = 18), on Thursday he reads 54 pages (triple of 18: 18 + 18 + 18 = 54).

The absolute minimum value of the function is 120 which occurs at x = -8. To find the absolute maximum and minimum values of the function f(x) = x^3 + 6x^2 - 63x + 8 over the interval [-8, 0], you need to first find the critical points by taking the first derivative and setting it to zero, and then evaluate the function at the critical points and the endpoints of the interval.

1. Take the derivative of f(x):
f'(x) = 3x^2 + 12x - 63

2. Set f'(x) to zero and solve for x:
3x^2 + 12x - 63 = 0
Divide by 3:
x^2 + 4x - 21 = 0
Factor:
(x+7)(x-3) = 0
So, the critical points are x = -7 and x = 3.

However, only x = -7 is within the interval [-8, 0].

3. Evaluate f(x) at the critical point x = -7 and at the endpoints of the interval, x = -8 and x = 0:
f(-7) = (-7)^3 + 6(-7)^2 - 63(-7) + 8 = 120
f(-8) = (-8)^3 + 6(-8)^2 - 63(-8) + 8 = 64
f(0) = 0^3 + 6(0)^2 - 63(0) + 8 = 8

Comparing the values of f(x) at these points, we find:
Absolute maximum: f(-7) = 120
Absolute minimum: f(0) = 8

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To complete the mail, Donald needs to stamp 48 pieces of mail if the total mails are 145 and he has done 97 pieces.

To calculate the number of mail to be stamped, one has to subtract the already stamped mails from the total number of mails.

Total number of mails = 145 mails

Number of mails already stamped = 97 mails

Mails left to be stamped = total number of mails -  mails that are already stamped

= 145 - 97

= 48 mails

Thus, Donald has to stamp 48 more mails in order to total mail of 145

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Answer: A is 80 and B is 85 train B is going faster

Step-by-step explanation:

hope this helps

because A is already given and to find b divide d/t to find constant and after doing so b is 5km per hour faster

Answer: I would say rolling a number cube

Step-by-step explanation:

when flipping a coin you will have a 1/2 chance of landing on heads and then when spinning the spinner you would have a 3/4 chance since there is 3 numbers greater then 1 and then with the cube since it has 6 sides and your only getting 1 or two you would have a 2/6 chance.

The dimensions of the field are: 87.95 m and 2.05 m

Let the length of the plot be x and breadth y. Then, its perimeter is:

p = 2(x + y)

p = 180

From this, we can express y in terms of x:

2(x + y) = 180

x + y = 90

y = 90 − x

The area of the plot is:

A = xy

A = x(90 − x)

A = −x² + 90x

We need this expression to be equal to 180 to find the borders of the interval we need:

−x² + 90x = 180

x² - 90x + 180 = 0

x = 87.95 m and 2.05 m

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Answer: 15 meters by 12 meters

Step-by-step explanation:

the first explanation is incorrect, i used it and its wrong

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. The vertical separation between Mike and the mountain's base is 101.5 feet .

Given that,

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. There are 3.8 feet of sea level below the mountain's base.

We have to find what is the vertical separation between Mike and the mountain's base.

The Mike comes to a stop 105.3 feet above sea level while trekking on a mountain.

3.8 feet of sea level below the mountain's base.

We just have to do the difference of the above sea level feet and below sea level feet.

=105.3-3.8

=101.5

Therefore, the vertical separation between Mike and the mountain's base is 101.5 feet .

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Answer:

(u+v) =(2 , -2, 2)

(u-v) =(2, -10,4)

3u-1/2v=(6, -20, 7.5)

Step-by-step explanation:

ask for explanation if answers are right

The vectors are:

u + v = (2, -2, 2)

u - v = (2, -10, 4)

3u - (1/2)v = (6, -20, 19/2)

Given:

u = (2, -6, 3)

v = (0, 4, -1)

To find u + v, we add the corresponding components of u and v.

u + v = (2, -6, 3) + (0, 4, -1) = (2+0, -6+4, 3-1) = (2, -2, 2)

To find u - v, we subtract the corresponding components of v from u.

u - v = (2, -6, 3) - (0, 4, -1) = (2-0, -6-4, 3-(-1)) = (2, -10, 4)

To find 3u - (1/2)v, we multiply u by 3 and v by (1/2), and then subtract the corresponding components.

3u - (1/2)v = 3(2, -6, 3) - (1/2)(0, 4, -1) = (6, -18, 9) - (0, 2, -1) = (6-0, -18-(1/2)4, 9+(1/2)) = (6, -18-2, 9+1/2) = (6, -20, 19/2)

Therefore, the vectors are:

u + v = (2, -2, 2)

u - v = (2, -10, 4)

3u - (1/2)v = (6, -20, 19/2)

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