No real numbers are irrational numbers.
True
False

Answer:

------------------------------

Volume equation of the pyramid:

Substitute values a = 9 in, h = 7 in:

Answer:

Volume of pyramid = 189 in³

Step-by-step explanation:

Now we have to,

→ find the volume of the pyramid.

Formula we use,

→ Volume = (1/3)a² × h

Then the volume of pyramid is,

→ (1/3)a² × h

→ (1/3) × (9)² × 7

→ (1/3) × 81 × 7

→ (81/3) × 7

→ 27 × 7

→ 189 in³

Hence, the volume is 189 in³.

The appropriate alternative hypothesis would be that the market share percentage is 60%.

This is the left-tailed test.

The null and alternative hypothesis is

H0 :  p =60%

Ha : p <60%

answer most 60%

Speculation in a scientific context is a testable declaration about the connection among two or extra variables or a proposed reason for some located phenomenon. For a hypothesis to be a systematic hypothesis, the medical method calls for you could test it. Scientists typically base clinical hypotheses on preceding observations that can't satisfactorily be explained with the available scientific theories. despite the fact that the words "speculation" and "idea" are frequently used interchangeably, a systematic hypothesis isn't the same as a scientific theory.

In not unusual usage in the 21st century, speculation refers to a provisional idea whose advantage calls for assessment. for correct evaluation, the framer of a hypothesis needs to outline specifics in operational terms. Speculation requires greater work through the researcher with a view to both affirm or disprove it.

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Complete Question:

A marketing research firm is planning a study to test whether the market share that a new product will capture during its first year on the market is at most 20 percent. After setting up the null and alternative hypotheses, the appropriate alternative hypothesis would be that the market share percentage is:

Group of answer choices

at most 20%

at least 20%

greater than 20%

not equal to 20%

less than 20%

Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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The actual value of the sample average may vary due to chance, and the typical distance it is away from the expected value is about 0.24 feet.

Given that a large population of Indian elephants has an average height of 9 feet with an SD of 0.75 feet, we can use this information to answer the following questions.
If 10 elephants are selected at random, the expected average height of these 10 elephants is still 9 feet. This is because the population average height of 9 feet remains unchanged, even if we randomly select a smaller group of elephants.
However, the actual value of the sample average may vary due to chance. This variation in the sample average is measured by the standard error of the mean (SEM). The SEM is calculated as the standard deviation of the sample divided by the square root of the sample size. For a sample size of 10, the SEM would be 0.24 feet.
Therefore, the typical distance the sample average is away from its expected value is about 0.24 feet. This means that if we were to repeat this random sampling process many times, the average height of the 10 elephants would vary by approximately 0.24 feet on average.
In summary, if 10 elephants are randomly selected from a large population of Indian elephants with an average height of 9 feet and an SD of 0.75 feet, we can expect the average height of these 10 elephants to be 9 feet.

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Answer:3.75

Step-by-step explanation:

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

Answer:116,600

Step-by-step explanation:5,500 x 20 = 110,000 + 6% = 116,600

Answer:

D. ABE and CDE by SAS Theorem (Side-Angle-Side)

Step-by-step explanation:

First lets establish that by the Vertical Angles Theorem, when two lines intersect, the vertical angles created are congruent. Thus, ∠AED is congruent to ∠CED. Now, we need to figure out which pair of triangles Craig is referring to. We know that to figure out if two triangles are congruent, they must have three congruent of either sides and/or angles. We know that Craig can't be referring to triangle AED and BEC because the angle of their vertex's are not congruent. We also know that Craig can't be referring to triangles ABC and CDA because although they share a similar side (Indicated by the one tic mark), they don't have anything else that is congruent.

Thus, this is why triangles ABE and CDE are the triangles Craig is referring to. Both of these triangles have congruent vertex because of the vertical angles theorem.  Both of these triangles also share the same sides as indicated by the one and two tic marks. Since there are two sides and an included angle, triangles ABE and CDE are congruent by the SAS theorem.

Finally, the way Craig can prove that AB is parallel to CD is by the CPCTC theorem. The CPCTC theorem states that corresponding parts of congruent triangles are congruent. Since we already established that the two triangles are congruent, we can safely say that line AB is parallel to CD.

Given data:

The given graph of the polynomial.

The value of the given polynomial is zero, at x=-3, -1, and 3.

Substitute -3 for x in the expression of the first polynomial.

Substitute -1 for x in the expression of the first polynomial.

Substitute 3 for x in the expression of the first polynomial.

As all the points are satisfied for the first option.

TThus, the first option is correct.

Answer:

6/8

Step-by-step explanation:

The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.

To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:

Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)

Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)

Expected return = 0.036 + 0.0495 - 0.0125

Expected return = 0.073

The expected return is 7.30%.

To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:

Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)

Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2

Variance = 0.00232 + 0.000173 + 0.001903

Variance = 0.004423

The standard deviation is the square root of the variance:

Standard deviation = √(0.004423)

Standard deviation = 0.0665

Therefore, the value obtained is 0.0665.

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Answer:

x^7

Step-by-step explanation:

You just add the exponents when it's multiplying like that.

Answer:

x^7

Step-by-step explanation:

x^5*x^2 = (x*x*x*x*x)*(x*x)

We will count the number of x.

x^7

Given:

The function is:

\(y=-(2x-4)(x-2)\)

To find:

The x-intercepts and zeros of the given function.

Solution:

We have,

\(y=-(2x-4)(x-2)\)

For x-intercepts, \(y=0\).

\(-(2x-4)(x-2)=0\)

\((2x-4)(x-2)=0\)

Using zero product property, we get

\((2x-4)=0\) and \((x-2)=0\)

\(2x=4\) and \(x=2\)

\(x=\dfrac{4}{2}\) and \(x=2\)

\(x=2\) and \(x=2\)

The given function has two equal zeroes or x-intercept, i.e., \(x=2\).

Therefore, the zeroes are 2 and 2.

Note: All options are incorrect.

Answer:

Step-by-step explanation:

You need to save 399.99 - 15.28 = £384.71

384.71 / 7 = 54.95

So, you will get the required amount 54 weeks on a Friday, starting from the Friday you start saving,

Both 3 and 6 cups of sugar are used.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

2 cups of flour and 1 cup of sugar

Add the sugar and flour together for three cakes.

2 cups of wheat and 1 cup of sugar equals 3.

6 cups of flour and 3 cups of sugar

Hence, Both 3 and 6 cups of sugar are used.

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Answer:

Step-by-step explanation:

\(V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m\)

The student's parents will pay half of the first-year cost, which is $12,000.

The academic scholarship will pay an additional $500, leaving the student with a remaining cost of $24,000 - $12,000 - $500 = $11,500 for the first year.

If the student wants to pay off the remaining $11,500 by the end of 12 months, they will need to save an average of $958.33 per month.

Therefore, the minimum amount that the student will need to save every month is approximately $958.33.

Answer:

Maximum price = GH¢85

Step-by-step explanation:

Let p be the number of times she raises the price as well as the number of times 10 less plates are sold

Revenue, R = number of plates sold * price sold

R = (300 - 10p)(20 + 5p)

R =  6000 + 1500p - 200p - 50p²

R = 6000 + 1300p - 50p²

50p² - 1300p - 6000 = 0

p² - 26p - 120 = 0

finding the axis of symmetry, p = -b/2a

p = -(-26)/2*1

p = 13

Maximum price = 13 * 5 + 20 = GH¢85

Number of plates sold = 300 - 10 * 13 = 170 plates

Maximum revenue = GH¢85 * 170 = GH¢14,450

Option B : Locate its manufacturing plant at the raw material site.

Given,

Weight losing raw material to manufacture its finished products .

Here,

Weight loss raw materials are those which loses their weight while production  sugar, iron and steel, and aluminum that lose weight during production.

For example we can take the industries that require minerals for their production works .

Another example is of sugar industry which require weight losing raw material .

Thus the correct option will be B .

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The equation which represents the volume of each cone is as follows:

V = (1/3)πr²h

Explanation :

In this equation, "V" represents the volume of the cone, "r" represents the radius of the base, and "h" represents the height of the cone.

V represents the volume of the cone. Volume is a measure of the space occupied by an object, and in this case, it refers to the space inside the cone.

π (pi) is a mathematical constant approximately equal to 3.14159. It is used in calculations involving circles and spheres.

r represents the radius of the base of the cone. The radius is the distance from the center of the base to any point on its circumference. Squaring the radius, r², gives us the area of the base.

h represents the height of the cone. It is the perpendicular distance from the base to the vertex (top) of the cone.

When we multiply the area of the base (πr²) by the height (h) and divide the result by 3, we get the volume of the cone. The division by 3 is necessary because the volume of a cone is one-third the volume of a cylinder with the same base and height.

So, the equation V = (1/3)πr²h provides a way to calculate the volume of a cone based on its radius and height.

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The amount of area covered by the surface of something is known aa surface are for that object.

Slant height of cone is \(s=\frac{113-4n}{4}\)

Since, the surface area of cone is given by,

                                S = nr + rs

where r is the radius and s is the slant height.

Separate slant height s from above expression

\(S = nr + rs\\\\rs=S-nr\\\\s=\frac{S-nr}{r}\)

substituting S=113 square feet and r = 4 feet

we get,    Slant height \(s=\frac{113-4n}{4}\)

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Answer:

Step-by-step explanation:

Corresponding sides of similar triangles have same ratio.

Correct option is D

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Answer:

this is the answer of your question

Answer:

Step-by-step explanation:

1. \(\frac{2}{t}=\frac{12}{18}\) you have to cross multiply for you to get a value of t

2t=2x18

2t=36

t=3

note: you have to do the same with the other problems to find the value of the other.

Answer:

Step-by-step explanation:

The total number of triangles is 5

The total number of all shapes is 13

The ratio is triangles to total

The ratio is 5 to 13

Note

This problem is not very well defined. Notice the circle at the bottom left. It's less than 1/2 a circle. Question: do you count it or don't you. The answer to that question will influence other partial figures.

All you do is count the total number of figures and the number of triangles. I did count the part circle on the lower left as with the triangles that are missing their tops.

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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The real rate of interest that you are paying is 3.5%.

The rate of interest, often referred to as the interest rate, is the percentage or proportion of the principal amount that is charged or earned over a certain period of time. It represents the cost of borrowing money or the return on investment. The rate of interest is typically expressed as an annual percentage, but it can also be calculated for shorter or longer time periods depending on the context.

The real rate of interest is calculated by subtracting the inflation rate from the nominal interest rate. In this case, the nominal interest rate is 6.5% per year, and the inflation rate is 3% per year.

Real Rate of Interest = Nominal Interest Rate - Inflation Rate

Real Rate of Interest = 6.5% - 3%

Real Rate of Interest = 3.5%

Therefore, the real rate of interest that you are paying is 3.5%.

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Answer:

2 seconds

Step-by-step explanation:

imagine math/TTM. I got it right.