You will perform a significance test of H0: μ = 19 based on an SRS of n = 25. Assume that σ = 13.
Step 1:
If x = 23, what is the test statistic z to 2 decimal places?
Step 2:
What is the P-value if Ha: μ > 19? Give your answer to 4 decimal places.
Step 3:
What is the P-value if Ha: μ ≠ 19? Give your answer to 4 decimal places.

Answer: 5/12

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/6 x 2/5

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

The complete answer is below (simplified to the lowest form):

1x5 / 6x2 = 5/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

5/12 = 0.4167

Answer: 5/12

Step-by-step explanation: When solving this equation you are going to have to use a method called keep, change, flip. you would keep \(\frac{1}{6}\) , change the division symbol to multiplication (because multiplication is the opposite of division) and flip \(\frac{2}{5}\) to \(\frac{5}{2}\).

Answer:

\(Y = -1x + 4\)

Step-by-step explanation:

Hope this helps

Answer:

The answer so simplyfjdjdnxkxndndjxjfnfngkdjsjajajjdjfj the answer is D

Answer:

hi robertlyonsdamron the answer will be B

Step-by-step explanation:

You can use the order of operations to evaluate the expression. Perform the subtraction inside the parentheses: two minus three equals negative one. Evaluate the exponents: two to the sixth power is sixty-four. Multiply and divide in order from left to right: Twelve point six times negative one equals negative twelve point six, and sixty-four divided by four is sixteen. Add and subtract in order from left to right: Negative twelve point six plus sixteen equals three point four.

Answer:

See below

Step-by-step explanation:

The test is one-tailed (left-tailed in this case) because you are trying to prove that the true proportion is less than the proposed proportion of 11%

The test statistic, z, is given to us as z=-1.34 when rounded to 2 decimal places.

The p-value, p, is given to us as p=0.0908 when rounded to 4 decimal places.

The null hypothesis is \(H_o:p<0.11\) because the original claim was that the proportion was less than 11%.

Hope this helped! It's been a while since I've done Statistics, but I believe this is all correct.

- First: Calculate how many miles the family is driving in ONE hour.

There are two equations you can form to solve this.

300 / 6 = mph (miles per hour)

250 / 5 = mph (miles per hour)

300 / 6 = 50

250 / 5 = 50

They are driving 50mph. Now, you need to find out how many miles they drive in three hours.

50 * 3 = 150

Evan's family drove 150 miles on the third day.

Answer:

150 miles

Step-by-step explanation:

The first day, they drove 300 miles in 6 hours so divide 6 by 300. 300 divided by 6 equals fifty. On the third day, they drove half the amount of time, so it would be half the amount of miles because they drove the same speed throughout the trip.

300/2 so the answer to the question is 150 miles.

The amount of money an adolescent makes, whether from a job, their own business, or investments, determines their tax liabilities and whether they must file a tax return.

The selling price and taxpayers' income are factors in the mathematical calculation of taxes. It is a fee levied by the government on residents in order to raise money for public spending and welfare programmes. Direct tax and indirect tax are the two different forms of taxes.

Although the number of teenagers in the United States who are employed has been declining since the late 1970s, many still work and earn money. 1 As a result, the IRS continues to process millions of teen-filed tax returns.

Despite their youth, teens who earn a specific amount of money must pay taxes, just like everyone else. Teenagers and their parents should be aware of the laws that pertain to young people, as well as how various forms of teen income are taxed.

Hence, the amount of money an adolescent makes, whether from a job, their own business, or investments, determines their tax liabilities and whether they must file a tax return.

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To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

The total number of your ancestors for the past 42 generations would be 8,796,093,022,206.

Step-by-step explanation:

To calculate the total number of your ancestors for the past 42 generations, we can use the formula for the sum of a geometric sequence:

Sum = a * (1 - r^n) / (1 - r)

where: - a is the first term in the sequence - r is the common ratio between terms - n is the number of terms in the sequence

For this problem: - a = 2 (since you have 2 parents) - r = 2 (each generation doubles the number of ancestors) - n = 42 (the number of generations)

Now, plug these values into the formula:

Sum = 2 * (1 - 2^42) / (1 - 2) Sum = 2 * (1 - 4398046511104) / (-1) Sum = 2 * (4398046511103) / 1 Sum = 8796093022206

So, the total number of your ancestors for the past 42 generations would be 8,796,093,022,206.

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If 1 pint is equal to 2 cups then 5 pints equals 10 cups

5 times 2 equals 10.

The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the

Six Sigma process

The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.

A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.

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In linear equation , You can fit 18 books perfectly.

What are a definition and an example of a linear equation?

According to the question, we have -

Length of bookshelf = \(3\frac{1}{2}\) feet = 7/2 feet = 7/2  * 12 =  inches = 42 inches.

Width of each book = \(2\frac{1}{4}\) inches  = 9/4 inches

Assume that the total number of books that can fit in a bookshelf is x. Therefore -

x = 42/9/4 = 42 × 4/9

x = 18.66 = 18 books (Approx.)

Hence, you can fit 18 books perfectly.

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Answer:

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves about the specified line, we'll use the method of cylindrical shells.

42a. About the x-axis: The region bounded by the curves is given by y = 0 and y = cos²x, where -π/2 ≤ x ≤ π/2. To find the volume of the solid obtained by rotating this region about the x-axis, we'll integrate the circumference of the cylindrical shells multiplied by their height.

The radius of each shell at a given x-value is y, and the height is dx. The circumference of each shell is given by 2πy. Therefore, the volume of the solid is:

V = ∫[from -π/2 to π/2] 2πy dx

Substituting y = cos²x, we have:

V = ∫[from -π/2 to π/2] 2π(cos²x) dx

Now, we can evaluate this integral using a calculator or computer to obtain the volume correct to five decimal places.

42b. About y = 1: To find the volume of the solid obtained by rotating the region about the line y = 1, we'll use the same method of cylindrical shells.

The region bounded by the curves is the same: y = 0 and y = cos²x, where -π/2 ≤ x ≤ π/2. However, this time, the radius of each shell at a given x-value is the difference between y and 1, and the height is dx. The circumference of each shell is given by 2π(y - 1). Therefore, the volume of the solid is:

V = ∫[from -π/2 to π/2] 2π(y - 1) dx

Substituting y = cos²x, we have:

V = ∫[from -π/2 to π/2] 2π(cos²x - 1) dx

Again, we can evaluate this integral using a calculator or computer to obtain the volume correct to five decimal places.

About the x-axis: 3.14159

About y=1: 9.86960

For About the x-axis:

About the x-axis : We must integrate the area of the cylindrical shells over the range -/2 x /2 in order to get the solid's volume when rotated about the x-axis.

Each cylinder's radius is determined by its y-coordinate, which is equal to cos2x. The differential dx is equal to the height of each cylindrical shell.

This formula yields the integral for the volume:

V = ∫[from -π/2 to π/2] 2πy * dx

By changing y to cos2x:

V = ∫[from -π/2 to π/2] 2πcos²x * dx

 For About y=1:

We must integrate the area of the cylindrical shells over the range -/2 x /2 in order to get the solid's volume when rotated about the x-axis.

We must integrate the dimensions of the cylindrical shells over the range -/2 x /2 in order to determine the solid's volume when rotated about the line y = 1.

In this instance, the distance between y = 1 and the y-coordinate, which is equal to 1 - cos2x, determines the radius of each cylindrical shell. The differential dx is still the height of each cylindrical shell.

This formula yields the integral for the volume:

V = ∫[from -π/2 to π/2] 2π(1 - cos²x) * dx

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Answer:

When we have a rational function like:

\(r(x) = \frac{x + 1}{x^2 + 3}\)

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

\(\frac{1}{4} = \frac{x + 1}{x^2 + 3}\)

We can multiply both sides by (x^2 + 3)

\(\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)\)

\(\frac{x^2 + 3}{4} = x + 1\)

Now we can multiply both sides by 4:

\(\frac{x^2 + 3}{4}*4 = (x + 1)*4\)

\(x^2 + 3 = 4*x + 4\)

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

\(x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}\)

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

\(x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}\)

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

Answer:

C and D

Step-by-step explanation:

You can just divided the numerator by the denominator and find which answers are the same as 9/10

Answer:

I think x=18

Step-by-step explanation:

If the expression (a + c)(a - c) = 0, then the statement which is true is a² = c².

Given that:

(a + c)(a - c) = 0

It is required to find the statement which is true from the given options for the given equation.

When a product of two expressions is 0, then it can be said that any of the two expressions is equal to 0.

So, here:

(a + c)(a - c) = 0

So it can be said that:

a + c = 0

or

a - c = 0

If a + c = 0, then a = -c

If a - c = 0, then a = c

So, it can be said that a² = c² is the statement that is true since a = ±c.

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Answer:

The length (which is the bottom and top lines) are both 9 inches long.

Step-by-step explanation:

To find the perimeter with only one given measurement and the total perimeter, first you need to double the given value. In this case it is 6 so 6 x 2 = 12. After that you need to find the rest of the sides so you can do 30 - 12 = x, or 12 + x = 30. As a total the answer is 18. Finally you divide 18 by two because there is two sides and you get 9.

Answer: andy drove  280 miles in 3 hours

Step-by-step explanation:  are you seriousseious right now?  

Answer:

StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

or \(\frac{5}{3.5}\) = \(\frac{12}{x}\)

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

The angles in the triangle are as follows:

m∠1 = 51 degrees

m∠2 = 33 degrees

m∠3 = 123 degrees

m∠4 = 24 degrees

The sum of angles in a triangle is 180 degrees. A right angle triangle is a triangle with one of its angles as 90 degrees.

Therefore, let's find the missing angle of the triangle.

Hence,

m∠1 = 180 - 72 - 57(sum of angles in a triangle)

m∠1 = 51 degrees

m∠2 = 90 - 72

m∠2 = 33 degrees

m∠3 = 180 - 57(sum of angles on a straight line)

m∠3 = 123 degrees

m∠4 = 180 - 123 - 33

m∠4 = 24 degrees

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Answer:

....

Step-by-step explanation:

3.6 units

Step-by-step explanation:

let's just write it down in mathematical notation :

length = 2×width - 1

the perimeter is the way all around an object.

so, for a rectangle that is

2×length + 2×width

for our rectangle here

2×length + 2×width = 70

now we use the original identity of length via width and get

2×(2×width - 1) + 2×width = 70

4×width - 2 + 2×width = 70

6×width - 2 = 70

6×width = 72

width = 12

FYI

length = 2×width - 1 = 2×12 - 1 = 24 - 1 = 23

The radius of the semicircle is 17 units.

In geometry, a semicircle is a half of a circle. It is an essential shape that appears in many mathematical problems. One of these problems is to find the radius of a semicircle inscribed in an isosceles triangle. In this article, we will discuss how to solve this problem step by step.

We have an isosceles triangle with base 16 and height 15. A semicircle is inscribed in this triangle, and its diameter is contained in the base of the triangle.

To solve this problem, we need to use some properties of a semicircle and an isosceles triangle. One of these properties is that the radius of a semicircle is perpendicular to its diameter, and it bisects the diameter.

Let's call the radius of the semicircle "r". We can draw a perpendicular line from the center of the semicircle to the base of the triangle. This line will bisect the base of the triangle, and its length will be equal to r.

Now we have two right triangles with hypotenuses of length r and legs of length 8 (half of the base of the triangle). We can use the Pythagorean theorem to find the length of the radius:

r² = 8² + 15²

r² = 289

r = 17

Therefore, the radius of the semicircle is 17 units.

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Complete Question:

A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the diameter of the semicircle is contained in the base of the triangle. What is the radius of the semicircle?

A diverse workforce can provide a source of competitive advantage by suggesting goods and services that will allow the company to increase its market by catering to a broader customer base.

When an organization embraces diversity and inclusion, it brings together individuals from different backgrounds, cultures, experiences, and perspectives. This diverse pool of employees can offer unique insights and ideas that might otherwise go unnoticed, leading to innovative product development and improved customer experiences.

By having a workforce that represents a wide range of demographics, including race, ethnicity, gender, age, sexual orientation, and more, a company can better understand the needs and preferences of various customer segments. This understanding enables them to develop and market products and services that resonate with a larger audience, ultimately increasing market share and revenue.

A diverse workforce enhances creativity and problem-solving abilities within the organization. Diverse teams bring different ways of thinking and approaching challenges, fostering an environment of innovation and adaptability. This can lead to the development of groundbreaking solutions that meet the evolving demands of an increasingly diverse consumer market.

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The scale factor from figure A to figure B is calculated as: 1/3.

The scale factor can be described as the size by which a figure is either enlarged or reduced. When enlarged by a scale factor, the new figure will be bigger than the original figure, while the new figure will be smaller than the original figure if it is a reduction.

Formula to find the scale factor is expressed as, the dimension of the new figure over the dimension of the original figure.

In this problem given, figure B is the new figure, while figure A is the original figure.

Use corresponding dimensions of both figures to find the scale factor

Therefore,

Dimension of the new figure = 3

Dimension of the original figure = 9

Scale factor = 3/9 = 1/3.

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Answer:

Bottom(equation 3)=No solution

Middle(equation 2)= Infinite solutions

Top(equation 1)=1 solution

Step-by-step explanation:

Brainly pls I hope this helps

Answer:

49

Step-by-step explanation:

8*7=56

7*6=42

56+42=98

98/2=49

The triangles are congruent by ASA(angle side angle) theorem

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.

There are different ways to find that out that triangles are congruent.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Therefore, the triangles are congruent by ASA(angle side angle) theorem.

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Answer:

18

Step-by-step explanation:

PEMDAS

3x4=12

12+6=18

Hope this helps.