Mr. Chan’s lawn grows 2 1/8 inches every 2 week. He mows his lawn every 2 weeks and cuts off the top 1 3/4 inches of lawn. If Mr. Chan’s lawn was 4 inches tall at the beginning of the season, how many inches tall, in decimal form, is Mr. Chan’s lawn after 8 weeks.

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: All you have to do is 16 divided by 80 which is 0.2. 0.2 as a decimal is 20%.

Answer:

Step-by-step explanation:

If single rolls are indeed priced at $89 each, the 3-roll package is a much better buy.

We suspect that the single rolls are priced at $0.89 each, which means you can buy 3 of them for less than $2.70. At this price, single rolls are a better buy.

Answer: The inequality for x is x>-4

The market's required rate of return for Samsung's common stock is 5.53%, rounded to two decimal points

What is meant by the rate of stock?

The rate of stock refers to the price at which a particular stock is being bought or sold in the stock market, which can vary based on supply and demand.

What is decimal?

A decimal is a number system that uses the base 10 and includes a decimal point to separate the integer part from the fractional part. It is commonly used in mathematics and everyday life for expressing fractions, percentages, and monetary values.

According to the given information

We can use the constant-growth dividend discount model to calculate the market's required rate of return for the stock. The model is:

Current stock price = Dividend next year / (Required rate of return - Dividend growth rate)

We know the current stock price is $216, the dividend next year is $1.14, and the dividend growth rate is 5%. We need to solve for the required rate of return.

216 = 1.14 / (r - 0.05)

Multiplying both sides by (r - 0.05), we get:

216(r - 0.05) = 1.14

Expanding the left side, we get:

216r - 10.8 = 1.14

Adding 10.8 to both sides, we get:

216r = 11.94

Dividing both sides by 216, we get:

r = 0.0553 or 5.53%

Therefore, the market's required rate of return for Samsung's common stock is 5.53%, rounded to two decimal points

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The market's required rate of return for Samsung's common stock is 5.53%, rounded to two decimal points

What is meant by the rate of stock?

The rate of stock refers to the price at which a particular stock is being bought or sold in the stock market, which can vary based on supply and demand.

What is decimal?

A decimal is a number system that uses the base 10 and includes a decimal point to separate the integer part from the fractional part. It is commonly used in mathematics and everyday life for expressing fractions, percentages, and monetary values.

According to the given information

We can use the constant-growth dividend discount model to calculate the market's required rate of return for the stock. The model is:

Current stock price = Dividend next year / (Required rate of return - Dividend growth rate)

We know the current stock price is $216, the dividend next year is $1.14, and the dividend growth rate is 5%. We need to solve for the required rate of return.

216 = 1.14 / (r - 0.05)

Multiplying both sides by (r - 0.05), we get:

216(r - 0.05) = 1.14

Expanding the left side, we get:

216r - 10.8 = 1.14

Adding 10.8 to both sides, we get:

216r = 11.94

Dividing both sides by 216, we get:

r = 0.0553 or 5.53%

Therefore, the market's required rate of return for Samsung's common stock is 5.53%, rounded to two decimal points

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Answer:

A)Option D

B)P(X = 15) = 0.1325

Step-by-step explanation:

A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each​ trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of ​another, and the probability of success is the same for each trial.

So option D is correct.

B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66

Let X be the number of adults satisfied with the job. Since 25 are selected,

Thus;

P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)

P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378

P(X = 15) = 0.1325

Answer:

The Answer is One of the factors is always 0. When you multiply a number by 0, the product is always 0.

Answer:

If ET is 20 then DS should be 30 which makes RS 90

Step-by-step explanation:

Hope this helps. :)

Answer:

4y

Step-by-step explanation:

the graph is that also 02929393 i needed points

Answer:

0.05 metre

5×10^5 kilometer

1.9685

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:  the answer is 6.375% because I just took the test

Step-by-step explanation:

Answer:

I think D. but I'm not sure

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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Answer:

2π(x+y+z)

is the factorization

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

its 2

Step-by-step explanation:

bc i said so period

Answer:

  x = 124

Step-by-step explanation:

You want the value of the exterior angle x°, given that the remote interior angles are 83° and 41°.

The exterior angle of a triangle is equal to the sum of the remote interior angles:

  x° = 83° +41°

  x° = 124°

  x = 124

__

Check

The interior angle adjacent to x° is its supplement:

  180° -124° = 56°

The sum of the interior angles of the triangle is 180°:

  83° +41° +56° = 180° . . . . . true

The theorem we cite above is a consequence of the fact that the missing interior angle is supplementary to both x° and the sum of the other two interior angles. It saves having to find the measure of the missing interior angle.

Answer

69x = 69 × x = x × 69

8 (c + 5)

= 8c + 40

Explanation

The commutative property of multiplication for two numbers a and b, is given as

a × b = b × a = ab

69x = 69 × x = x × 69 = 69x

Question 2

The distributive property for openingh brackets involving three numbers a, b and c is given as

a (b + c)

= ab + ac

So, for this question

8 (c + 5)

= 8c + 40

Hope this Helps!!!

The statement that for two sets A and B, (A ∪ B)' = A' ∩ B' is true.

Let us check it with the help of an example.

Let A = {1,2,3,4,5,6} ,

B = {5,6,7,8,9,10} and ,

A universal set S = {1,2,3,4,....,15}

Now, we can write,

A ∪ B = {1,2,3,4,5,6,7,8,9,10}

LHS = (A ∪ B)' = {11,12,13,14,15}

A' = {7,8,9,10,11,12,13,14,15}

B' = {1,2,3,4,5,11,12,13,14,15}

RHS = A' ∩ B' = {7,8,9,10,11,12,13,14,15} ∩  {1,2,3,4,5,11,12,13,14,15} = {11,12,13,14,15}

As we can observe from above,

LHS = RHS

Hence, the statement that for two sets A and B, (A ∪ B)' = A' ∩ B' is true.

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P(x) = -.4x^3 +2.8x^2 -3.2x -6.4  is the 3rd degree polynomial with the given roots and y intercept.

What is polynomials?

P(x) =  a(x+1)(x-4)^2

    = a(x+1)(x^2 - 8x + 16)

    = a(x^3 -7x^2 +8x +16)

    =a(x^3 -7x^2 + 8x) + 16a

where 16a = -6.4,  

a = -6.4/16  

a  = -.4

P(x) = -.4(x^3 -7x^2 + 8x + 16)

P(x) = -.4x^3 +2.8x^2 -3.2x -6.4  is the 3rd degree polynomial with the given roots and y intercept .

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Answer:

Step-by-step explanation:

\({hope it helps}}\)

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

\(H_0: p \leq 0.4\)

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

\(H_1: p > 0.4\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \(p = 0.4, \sigma = \sqrt{0.4*0.6}\)

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

\(n = 200, X = \frac{90}{200} = 0.45\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}\)

\(z = 1.44\)

Thus the correct answer is given by option a.

Answer:

3

Step-by-step explanation:

Ill explain in comments so you can have your awnser

Answer:

Inches

Step-by-step explanation:

the praying mantis is too small for the other units.

The length of a praying mantis would measure in inches.

It is defined as the numerical quantity that gives an idea about an object's weight length, width, and many more. It can be used to compare two objects.

We know feet, inches, yards, and miles are the unit of measuring the length.

We have an object that is a praying mantis. Usually, the mantis's length is about 3 to 4.5 inches.

We also know 1 foot = 12 inches

1 yard = 36 inches

1 mile = 63360 inches

As we can see the feet, yard, and mile are the units to measure the long length.

Thus, the length of a praying mantis would measure in inches.

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The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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Answer:

D. It has a constant slope.

Step-by-step explanation:

We have to find the characteristic which states that the graph of a function must be linear.

The four characteristics given in the question are;

A. It passes through the origin

B. It crosses the x-axis more than once.

C. It crosses the y-axis exactly once

D. It has a constant slope.

If we consider the first characteristic that it passes through the origin , then the graph of a function will not be linear because it will contain two variables.

If we consider the second characteristic that it crosses the x-axis more than once , then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.

If we consider the third characteristic that it crosses the y-axis exactly once , then the graph of a function will not be linear because it may cross the x-axis twice.

If we consider the fourth characteristic that it has a constant slope , then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.

Answer:

D.) It has a constant slope.

Step-by-step explanation:

It's right on edge.

Step 1

Given;

Required; To find k

Step 2

Find k

Answer;

Answer:

\(28\), \(82\)

Step-by-step explanation:

\(10 \times 3 -2=28\\28 \times 3 - 2 = 82\)