Optically active compounds rotate plane-polarized light. Match the direction of rotation with the correct term.
A. Clockwise
B. Counterclockwise
C. Dextrorotatory
D. Levorotatory

Answer:

When 3x/4 - 13 = -9, x² = 256/9.

Step-by-step explanation:

3x/4 - 13 = -9

Multiply the expression by 4.

3x - 52 = -36

Add 52 to both sides.

3x = 16

Divide both sides by 3.

x = 16/3

Knowing x, let's square it.

(16/3)²

Apply the power to fraction rule.

16²/3²

Evaluate the powers.

256/9.

For f(x) = cos(x) we have:

For a general cosine function, we have:

f(x) = A*cos(kx + p) + M

Where:

For the function:

f(x) = cos(x).

We can see that:

A = 1, M = 0, k = 1, p = 0.

So, the amplitude is equal to 1, and the midline is equal to zero.

Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.

Finally, we need to identify the graph of cos(x).

Notice that:

f(0) = cos(0) = 1.

So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.

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Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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Since random condition, 10% condition and Large counts condition are met, all of the conditions for inference are met.

Given that,

At a large company retreat, management orders subs for lunch.

They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub.

Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer.

The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian.

Conditions for inference are met if three conditions are met.

They are randomness, normal and independence.

Since the sample is random, random condition is met.

Normal condition is met if the sample size is reasonably large which is the Large Counts Condition.

Here sample size is >30. So it is also met.

For the condition of independence, 10% condition has to be met, which is the condition that sample size should not exceed 10% of the total population.

Here population size is not given.

Since it is a large company, we assume that the population is large enough that 10% condition is also met.

Hence all conditions are met.

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Answer:

Step-by-step explanation:

1). Let the circumference C and area A of the circle are proportional,

   C ∝ A

   C = kA

   Here k = proportionality constant

   k = \(\frac{C}{A}\)

   From the given table,

   For C = 25 cm, A = 50 cm²

   Then the value of k = \(\frac{25}{50}\)

                                  k = \(\frac{1}{2}\)

    For C = 50 cm, A = 201 cm²

    k = \(\frac{50}{201}\) ≈ \(\frac{1}{4}\)

    In both the cases proportionality constant is giving the different values.

    Therefore, Circumference and Area of the circular objects are not proportional.

2). If A = \(\frac{1}{2}\times r\times C\)

    Then this equation will be true for all the values of r and C given in the table.

    For r = 4 cm and C = 25 cm

    A = \(\frac{1}{2}\times 4\times 25\) = 50 cm²

    For r = 8 cm and C = 50 cm

    A = \(\frac{1}{2}\times 8\times 50\)

    A = 200 cm²

    True for all values of 'r' and 'C'.

Answer:

665

Step-by-step explanation:

The correct order of the steps in hypothesis testing when testing a hypothesis about an unknown population mean is to State the hypotheses about the unknown population.


Select a sample and compute the z-score for the sample mean.
Set the criteria for a decision about the unknown population.
Make a decision about the unknown population.

In hypothesis testing, we start by stating the null hypothesis (H0) and the alternative hypothesis (Ha) about the unknown population mean.

Next, we select a random sample from the population and compute the z-score for the sample mean using the formula:

z = (sample mean - population mean) / (standard deviation / √sample size).

After that, we set the criteria for making a decision about the unknown population.

This involves choosing a significance level (alpha), which determines the threshold for rejecting the null hypothesis.

Finally, we make a decision based on the computed z-score and the criteria set earlier. If the z-score falls within the acceptance region, we fail to reject the null hypothesis.

If the z-score falls outside the acceptance region, we reject the null hypothesis in favour of the alternative hypothesis.

The correct order of the steps in hypothesis testing for testing an unknown population mean is to state the hypotheses, select a sample and compute the z-score, set the decision criteria, and make a decision about the unknown population.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

         31.12

Step-by-step explanation:

Answer:31.129

Step-by-step explanation:

The part of speech of word 'rainstorm' is a noun in the sentence 'the campers were drenched by the rainstorm'.

There are eight parts of speech. They are noun, pronoun, adjective, verb, adverb, preposition, conjunction, and interjection. Further, these parts of speech are subdivided into different types.

A noun is the name of a person (for example, Ram, Neetu, John, etc.), place (for example, Delhi, Lucknow, Jaipur, America, etc.) or a thing (for example, table, desk, pen, rainstorm, etc.).

There are five types of noun: proper noun, common noun, abstract noun, material noun and collective noun.

Hence, the italicized word in the given sentence is a noun.

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Answer:

41.667

Step-by-step explanation:

To solve this problem, we need to use the Fundamental Counting Principle which states that the total number of outcomes is the product of the number of ways each event can occur.  The state can make 11,881,376 different license plates

In this case, there are 10 possible choices for the first digit (0-9) and 26 possible choices for each of the remaining 5 letters of the alphabet. Therefore, the total number of different license plates that can be made is:
10 x 26 x 26 x 26 x 26 x 26 = 11,881,376
Another way to think about it is to use permutation. We have 10 choices for the first digit and 26 choices for each of the 5 remaining letters. Therefore, the total number of permutations is:
10P1 x 26P5 = 10 x 26 x 25 x 24 x 23 x 22 = 11,881,376
Either way, the answer is the same. So, the state can make 11,881,376 different license plates if each of its license plates contains 1 different digit followed by 5 different letters of the alphabet.

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Answer:

$36.52

you're welcome :)

Answer:

there

Step-by-step explanation:

(Excuse me if this doesn't make sense).

Your formula would be (4,1)

Your zero is (0,0)

To graph it:

If your y is 1, your x is 4

If your y is 2, your x is 8.

There's a video for this if my explanation and photo doesn't help

Answer:

1800 people were at the concert.

Hello there! :D

Its math time!!

Alright, let's write out all the percentages.

60%= adults

25%= boys

There are thirty girls.

We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.

60+25= 85

100-85=15

So, 15% of the audience are girls. That is equal to 30 people.

I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.

30*4= 120 adults

We can also take 15 and divide it by 3 (as well as 30)  so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.

15/3= 5%

30/3=10

Now we just need to know how many fives go into 25, which is 5.

5*10= 50

Add that to the number of adults and girls:

50+120+30= 200 people

There are 200 people at the concert!

I hope this helped you and you have a wonderful day,

Kai xx

If the ratio of the measure of the three sides of the triangle is 9:7:5 and the perimeter is 191.1 inches, then the three sides of the triangle are 81.9 inches, 63.7 inches and 45.5 inches

The ratio of the measure of the three sides of a triangle = 9 : 7 : 5

Then three sides of the triangles = 9x, 7x and 5x

Where x is the constant

The  perimeter of the triangle = 191.1

The perimeter of the triangle is the sum of the three sides of the triangle

Then the equation will be

9x + 7x + 5x = 191.1

21x = 191.1

x = 191.1 / 21

x = 9.1

The first side = 9x

= 9 × 9.1

= 81.9 inches

The second side = 7x

= 7 × 9.1

= 63.7 inches

The third side = 5x

= 5 × 9.1

= 45.5 inches

Therefore, the measure of the sides of the triangle is 81.9 inches, 63.7 inches and 45.5 inches

I have solved the question in general, as the given question is incomplete

The complete question is:

The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 191.1 inches. Find the measure of each side.

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Answer:

p = 5

Step-by-step explanation:

1). Distribute

9+4(2p-1)=45 -->

9 + 8p - 4 = 45

2). Combine like terms
9 + 8p - 4 = 45 -->

8p + 5 = 45

3). Subtract

8p + 5 = 45

-5         |   -5
8p = 40

4). Divide

8p = 40
8p/8 = 40/8

p = 5

Answer:

I believe it would be $1.25

Step-by-step explanation:

Since a lot of people bought doughnuts, that would probably be what most of them are spending their money on.

The standard deviation of a numerical data set measures the variability of the data. It is a widely used measure in statistics that helps to determine how spread out the values are within a given data set.

By calculating the standard deviation, we can better understand the range and distribution of values in the data set, as well as identify potential outliers. This measure is particularly important in fields such as finance, science, and engineering, where understanding the variability in data can be crucial for making informed decisions and predictions. So, the most appropriate term that makes the statement true is D: variability.

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Answer:

4.6

Step-by-step explanation:

298 divided by 65=4.58....

Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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Answer:

x÷3 ≥ 4, x ≥ 12

Step-by-step explanation:

part 1:

the quotient of x and 3 written in math language is x÷3

the phase "at least 4" is the greater than or equal to sign: ≥ 4

then when you put the two parts together, the answer is

x÷3 ≥ 4

part 1:

x ÷ 3 ≥ 4

multiply 3 to each side:

x ÷ 3 *3 ≥ 4 *3

x ≥ 12

and that's the answer!

a. reject H0 since there is evidence all the means differ.  In a one-way ANOVA, we are testing if there is a significant difference between the means of three or more groups.

The null hypothesis (H0) states that there is no significant difference between the means, while the alternative hypothesis (Ha) states that at least one mean is different from the others.

The F statistic is calculated by taking the ratio of between-group variability to within-group variability. If the computed F statistic exceeds the critical F value at a given significance level (alpha), we reject the null hypothesis and conclude that there is evidence that at least one mean differs from the others.

Therefore, choice (a) "reject H0 since there is evidence all the means differ" is the correct answer. Option (b) is incorrect because while rejecting the null hypothesis shows evidence of a treatment effect, it does not necessarily imply that the treatment effect is present. Option (c) is incorrect because if the computed F statistic exceeds the critical F value, it indicates that there is evidence of a difference. Option (d) is incorrect because if the computed F statistic exceeds the critical F value, we do not assume that a mistake has been made.

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Answer:

Step-by-step explanation:

First of all let's look at the side lengths of both figures.

Let's see how the corresponding sides relate:-

\(\sf 6*\cfrac{1}{3} =3\)

\(\sf 3*\cfrac{1}{3} =1\)

We can see that all sides scale by the same factor of 1/3.

Therefore, YES A is a scaled copy of Figure B.

______________________

Hope this helps!

Have a great day!

Answer:

1397.970007

Step-by-step explanation:

Hello there friend,

y + y will give you 2y.

✍️ By Benjemin ☺️

Answer:

39

Kkkkkkkkkkkmmmmmmm

Answer:Using a calculator, if you typed in 57 divided by 8, you'd get 7.125. You could also express 57/8 as a mixed fraction: 7 1/8. If you look at the mixed fraction 7 1/8, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (8), and the whole number is our final answer (7) ...

for example btw

Step-by-step explanation:

Answer:

The least common multiple of 8 and 12 is 24

Explanation:

Find and list the multiples each number until the first common multiple is found.

This is the lowest common multiple .

Multiples of 8

8, 16, 24, 32,40

Multiples of 12

12,24, 36,48

Therefore,

LCM of 8 and 12 is 24

Answer: The answer is 24

Step-by-step explanation: One easy way to find least common multiples is to take the large number and multiply it by increasing numbers (1,2,3,etc.) until a number is found that is also divisible by the smaller number.

In this case, we can multiple 12 by increasing numbers until we find a number that is also divisible by 8.

12

⋅

1

=

12

This is not divisible by 8.

12

⋅

2

=

24

This is divisible by 8.

8

⋅

3

=

24

Therefore, the least common multiple is 24.