Use <, >, or = to make the
statement true.
20[?]-1

Step-by-step explanation:

A= πr^2

A = 8^2×π=64π= 201.06 ft^2

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer: $ 8

Step-by-step explanation:

Given: Original cost of camera =  $5

mark up percent = 60% = 0.60

Mark up value =60% of Original cost

Now , price of one camera= Original cost + Mark up value

= Original cost + 60% of Original cost

= $ (5+0.60(5))

= $ (5+3)

= $ 8

Hence,  price of one camera= $ 8

Step-by-step explanation:

hope it helps

have a great day!!

a. The joint distribution of the numbers of black, white, and red balls in the sample is given by P(x, y, z) = nCx * nCy * nCz / (p + q + r)Cn, where x is the number of black balls, y is the number of white balls, z is the number of red balls, and n is the total number of balls chosen.

b. The joint distribution of the numbers of black and white balls in the sample is given by P(x, y) = nCx * nCy / (p + q)Cn, where x is the number of black balls, y is the number of white balls, and n is the total number of balls chosen.

c. The marginal distribution of the number of white balls in the sample is given by P(y) = nCy / qCn, where y is the number of white balls, and n is the total number of balls chosen.

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Answer:

Oy=x+3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The correct answer is B

Step-by-step explanation:

its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips

High Hopes^^

Barry-

Answer:

2156.7

Step-by-step explanation:

first, after discount is meant now $1659 and 30% up, that way we need to do 1659 x 1.3 it gives us 2156.7

Answer:

(D)  \(\dfrac{27}{16}\)

Step-by-step explanation:

Volume of a Cylinder =\(\pi r^2h\)

Cylinder A

Height = 3 Units

Radius = 3 Units

\(Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units\)

Cylinder B

Height = 4 Units

Radius = 2 Units

\(Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units\)

\(\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}\)

The correct option is D

T(n) = 3n log_2 n T(1) + 3n log_2 n - 4n<= 3n log_2 n T(1) + 3n log_2 n (because - 4n <= 0 for n >= 1)<= O(n log n)

Thus, the solution is verified.

The given recurrence relation is `T(n)=T(2n)+2T(8n)+n^2`.

Here, we have to use the iteration method and draw the recursion tree to analyze the recurrence relation.

Iteration method:

Let's suppose `n = 2^k`. Then the given recurrence relation becomes

`T(2^k) = T(2^(k-1)) + 2T(2^(k-3)) + (2^k)^2`

Putting `k = 3`, we get:T(8) = T(4) + 2T(1) + 64

Putting `k = 2`, we get:T(4) = T(2) + 2T(1) + 16

Putting `k = 1`, we get:T(2) = T(1) + 2T(1) + 4

Putting `k = 0`, we get:T(1) = 0

Now, substituting the values of T(1) and T(2) in the above equation, we get:

T(2) = T(1) + 2T(1) + 4 => T(2) = 3T(1) + 4

Similarly, T(4) = T(2) + 2T(1) + 16 = 3T(1) + 16T(8) = T(4) + 2T(1) + 64 = 3T(1) + 64

Now, using these values in the recurrence relation T(n), we get:

T(2^k) = 3T(1)×k + 4 + 2×(3T(1)×(k-1)+4) + 2^2×(3T(1)×(k-3)+16)T(2^k) = 3×2^k T(1) + 3×2^k - 4

Substituting `k = log_2 n`, we get:

T(n) = 3n log_2 n T(1) + 3n log_2 n - 4n

Now, using the substitution method, we get:

T(n) = 3n log_2 n T(1) + 3n log_2 n - 4n<= 3n log_2 n T(1) + 3n log_2 n (because - 4n <= 0 for n >= 1)<= O(n log n)

Thus, the solution is verified.

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Answer:

Step-by-step explanation:

The total number of candies in the bag is 4 cherry + 8 orange + 2 lemon + 8 grape + 6 sour raspberry = 28 candies.

The probability of drawing a cherry on the first draw is 4/28, and the probability of drawing a sour raspberry on the second draw given that a cherry was drawn first is 6/27 (since there are 27 candies left in the bag after the first draw).

The probability of drawing a sour raspberry on the first draw is 6/28, and the probability of drawing a cherry on the second draw given that a sour raspberry was drawn first is 4/27.

Therefore, the probability of drawing one cherry and one sour raspberry in either order is:

(4/28) * (6/27) + (6/28) * (4/27) = 24/756 + 24/756 = 48/756

So the probability of drawing one cherry and one sour raspberry in either order is 48/756.

Answer:

\(\huge\boxed{\sf x = \pm \sqrt{7} }\)

Step-by-step explanation:

Given function:

\(f(x)=x^2-7\)

We can also write it as:

\(y =x^2-7\)

x-intercept is the point where y = 0

Put y = 0 in the above equation

\(0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}\)

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

Abby will earn $510 if she works 60 hours.

Step-by-step explanation:

8 hrs --> $68

1 hr --> 68 × 1/8 = $8.5

So, 60 hrs

= 8.5 × 60

= $510

ok

I'll write some possible numbers, hold on

These numbers are divided by 2

56 58 60

62 64 66 68 70

72 74 76 78 80

82 84 86 88 90

92 94 96 98 100

Numbers divided by 8

56 64 72

80 88 96

Numbers divided by 16

64 80 96

Numbers that are multiple of the three numbers are: 64, 80, 96

Hey there! I'm happy to help!

First, we want to see how many Japanese yen there are for 1 U.S. dollar.

This slash (/) means per or for. We see that in the column (USD/1 Unit) the Japanese yen cell has 0.01007. This means that that is how many US dollars there are for each Japanese yen.

However, we want to find how many Japanese yen there are per U.S. dollar. Well, this is the same as writing Yen/1 USD, and in that column we have 99.30487, which means that for every 1 U.S. dollar we have, we have 99.30487 Japanese yen. This means that for $100, we would have 9930.487 Japanese yen.

This / can also represent a dividing sign or a fraction.

What we did is simply take our Units/1 USD and we multiplied the result by $100 (99.30487/1=99.30487, 99.30487×100=9930.487). This matches with the answer 100 USD(99.30487 yen. 1 USD)

Currency exchange is pretty tricky, but if you keep on practicing you'll get very good at it!

Have a wonderful day! :D

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

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In order to summarize qualitative data, a useful tool is a frequency distribution.

Frequency distribution is a table or graph that shows the number of occurrences of each unique value or range of values in a dataset. It is a way of summarizing and organizing a set of data by grouping them into mutually exclusive classes or bins and counting the number of observations in each class. The resulting table or graph is called a frequency table or frequency distribution. The classes or bins are often defined based on the scale of measurement of the variable, such as intervals for continuous variables or categories for categorical variables. Frequency distribution is a useful tool for understanding the distribution of a variable and identifying patterns or outliers in the data.

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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Answer:  

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

The length of the football field is 360 feet.

The length of the tennis court is 78 feet.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.

And,  It is also 282 feet longer than a tennis court.

Let the length of the tennis court = x

So, The length of the football field = 48 + 4x

Here, The length of the football field is 282 feet longer than a tennis court.

So, We get;

⇒ 48 + 4x = 282 + x

⇒ 4x - x = 282 - 48

⇒ 3x = 234

⇒ x = 78

Thus, The length of the football field = 48 + 4x

                                                         = 48 + 4×78

                                                         = 48 + 312

                                                          = 360 feet

The length of the tennis court = x

                                              = 78 feet

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The null hypothesis states that the population mean is equal to 100.

You want to know which statement represents the null hypothesis for a researcher testing if the mean IQ at a university is different from the average of 100.

The mean of this sample is 103.6 and the standard deviation is 15.0

The null hypothesis (H0) states that the population mean is equal to 100. This is because the null hypothesis typically represents the assumption of no difference or no effect.

To summarize, for this research question, the null hypothesis states that the population mean is equal to 100.

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Answer:

24 in^2

Step-by-step explanation:

To get the area of a triangle, multiply the base and height, then divide by 2.

Base=6

Height=8

6*8/2=48/2=24

24 in^2

Answer:

24 inch^2

Step-by-step explanation:

6 times 8 equals 48

Divide that by 2 and get 24

Area of Triangle is A=1/2bh

Can I get Brainliest, please!

Answer:

the answer is x>-4

Step-by-step explanation:

I hope this helps

The required solution of the given inequality is given as x > -4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given inequality,
–x – 2.2 < 1.8
-x < 1.8 + 2.2
-x < 4

x > - 4   (Since, changing the sign of the expression, reverse the inequality)

Thus, the required solution of the given inequality is given as x > -4.

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We want to lower the sampling error one way to accomplish it is by decreasing the standard deviation or increasing the sample size.

By increasing the sample size, you can reduce the incidence of sampling errors. As the sample size increases, the sample approaches the actual population, and the likelihood of deviation from the actual population decreases. Note that the mean of 10 samples is much different than the mean of 100 samples. You can also take steps to ensure that your sample is a fair representation of the entire population.

Researchers can reduce their sampling errors by repeating studies. This can be achieved by performing the same measurements repeatedly or by performing multiple studies using multiple subjects or multiple groups.

Random sampling is an additional method to minimize the occurrence of sampling errors. Random sampling establishes a systematic approach to sample selection. For example, rather than randomly selecting participants to be interviewed, a researcher could select the person whose name appears first, tenth, twentieth, thirtieth, forty, etc. on a list.

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Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.