The data set below represents a sample of scores on a 10-point
quiz.

7, 4, 9, 6, 10,
9, 5, 4

Find the sum of the mean and the median.

15.50
13.25
14.25
12.25
12.75

The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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\(\large \underline\mathcal{ » \: QUESTION \: : }\)

6. What is the domain of this function?

(0, 2), (1, 3), (2, 4), (3,5), (4,6)

the domain is the set of all the values x of while the range is the set of all the value of y

\( \tt \:1.) (0, 2), (1, 3), (2, 4), (3,5), (4, 6)\)

\( \tt \: DOMAIN = ({{0,1,2,3,4}})\)

\( \tt \: RANGE (2,3,4,5,6)\)

First, we need to convert the mean from hours to minutes, which is 10 * 60 = 600 minutes.

The exponential distribution is given by the formula:

$P(X > x) = e^{-\lambda x}$

where $\lambda$ is the rate parameter, which is equal to 1/mean for an exponential distribution.

Thus, for this problem, we have:

$\lambda = 1/600$

We want to find the probability that the next customer will take more than 5 minutes, or in other words, $P(X > 5)$.

$P(X > 5) = e^{-\lambda \cdot 5} = e^{-(1/600) \cdot 5} \approx 0.991$

Therefore, the probability that the next customer will take more than 5 minutes is approximately 0.991.

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The given statement "A reaction that has K_eq = 2.0 × 10^(-8) will have high concentrations of products" is false because a low value of K_eq indicates a greater concentration of reactants compared to products.

The equilibrium constant, K_eq, represents the ratio of product concentrations to reactant concentrations at equilibrium. In this case, a K_eq value of 2.0 × 10^(-8) suggests that the concentration of products is significantly lower compared to the concentration of reactants.

This implies that the reaction favors the formation of reactants rather than products. Therefore, the statement is false as it states that the reaction will have high concentrations of products, which is contradictory to the low K_eq value provided.

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Answer:

sas

bc there is a side, right angle, side

Step-by-step explanation:

Answer:

X = The number of hours Joey worked (C)

Step-by-step explanation:

$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.

Answer:

1:110

2:70

3:110

4:70

5:110

6:70

7:110

8;70



Step-by-step explanation:

lol i think its pretty simple

False.

It is not necessary that if the mean of a given dataset is large then the standard deviation has to be large. Mean is the average of all the elements in a dataset and Standard Deviation is the average of deviation of all elements from the mean of the dataset. For instance, take 10 consecutive large numbers, then the mean of the numbers is also large but since the numbers are not widely dispersed, the standard deviation is small in magnitude.

Therefore, the given statement is False.

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Answer:

Rewrite the expression using the negative exponent rule   [text]{b}^{-n } = 1/bn

Step-by-step explanation:

1/y^3

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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If Bob only fixes 50 computers, his total loss is $3,750.

The total loss results from the negative difference between the total revenue and the total costs.

The total costs consist of variable and fixed costs.

The result is a loss when the total costs exceed the total revenue.  This result becomes a profit or income when the total revenue exceeds the total costs.

Equipment = $5,000

Premises = $6,000

Advertising = $4,000

Total fixed costs = $15,000

Variable cost per unit = $25

Selling price per unit = $250

Total number of computers fixed = 50

The total variable cost for 50 units = $1,250 (50 x $25)

The total costs (fixed and variable) = $16,250

The sales revenue for 50 units = $12,500 (50 x $250)

Loss = $3,750 ($12,500 - $16,250)

Thus, Bob will incur a total loss of $3,750 if he fixes only 50 computers based on his fixed and variable costs.

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Answer:

It is A) No, There is no fixed number of baby carrots.

edge 100%

Step-by-step explanation:

The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144

Thus, none of the lines are identical, and the only parallel lines are L1 and L2.

Two lines are parallel if they have the same direction or are identical. In order to determine which of the following four lines are parallel, we need to consider the direction of each line. Let's first consider L1 and L2.

L1: x = 1 + 6t, y = 1 - 3t, z = 12t + 5L2: x = 1 + 2t, y = t, z = 1 + 4t

Comparing the coefficients of t in each line, we see that the direction vectors of L1 and L2 are [6, -3, 12] and [2, 1, 4], respectively. Since these direction vectors are not proportional to each other, L1 and L2 are not parallel. Now let's consider L3.

L3: 2x - 2 = 4 - 4y = z + 1. To find the direction of L3, we need to write it in vector form. Setting 2x - 2 = 4 - 4y = z + 1 = k (for some constant k), we get 2x = 2 + k, y = -1/4(k - 4), and z = k - 1. Thus, the direction vector of L3 is [2, -1/4, 1].None of the previous three lines are identical. Finally, let's consider L4.L4: r = <3, 1, 5> +t <4, 2, 8>Since L4 is in vector form, its direction is simply the vector <4, 2, 8>.

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Answer:

TRUE

Step-by-step explanation:

Angle <A and angle <B are complementary, which means their sum must be = 90

Angle <B and angle <C are supplementary which means their sum must be = 180

Now let's see

m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)

first find the sum of A and B

3x + 17 + 55 - x = 90 add like terms

2x + 72 = 90 subtract 72 from both sides

2x = 18 divide both sides by 2

x = 9

TRUE OR FALSE is asked for

m∠A=44, m∠B=46, and m∠C=134

to find that we just replace c with 9 with every expression given for angles

m<A = 3x + 17

m<A = 3*9 + 17 = 44

m<B =  55 - x

m<B = 55 - 9 = 46

m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.

The answer is TRUE

The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

∠A and ∠B are complements, while ∠B and ∠C are supplements.

∠A + ∠B = 90 degree

3x + 17 + 55 - x = 90

2x = 18

x = 9

Angle ∠B and angle ∠C are supplementary:

∠B + ∠C = 180

55 -x + 67(x/3  - 1) = 180

x = 9

Put the value of x and find angles A, B, and C.

m∠A = 44

m∠B = 46

m∠C = 134

∠A + ∠B = 90

∠B + ∠C = 180

The above statement is true.

Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

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Answer:

$186.89

Step-by-step explanation:

Let's start by finding the area of the floor.

Area of a trapezium can be found with the formula:

A=(a+b)/2*h

Let's plug our values in.

A=(10+16)/2*7.6

Simplify.

A=26/2*7.6

A=13*7.6

A=98.8

The area of the floor is 98.8 square meters.

Find how many litres of paint are needed.

98.8/1.9=52

He needs 52 liters of paint.

52/5=10.4

He needs 11 5 liter cans of paint.

Each one costs %16.99.

16.99*11=186.89

It would cost $186.89 to buy all the paint he needs.

Answer:

Step-by-step explanation:87

Answer: 70

Step-by-step explanation: i dont really have an explanation but its the right answer

Answer:

4

Step-by-step explanation:

To find median, arrange the data set in ascending order. Then the middle term is the median

2 , 3 , 4 , 5 , 6

Median = 3rd term  = 4

Answer:

4 is the median

Step-by-step explanation:

From least to greatest:

2,3,4,5,6

Since the total values is odd, the middle number is the median

4 is the median

Explanation:

The base is a 3 by 3 square of area 3*3 = 9 sq ft.

Each of the lateral faces is a triangle with base = 3 and height = 4. The area of one triangle is base*height/2 = 3*4/2 = 12/2 = 6 sq ft. Four such triangles combine to a lateral surface area of 6*4 = 24 sq ft.

Overall, the entire figure has a surface area of 9+24 = 33 square feet

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

\(\sqrt{418}\)

Step-by-step explanation:

The length of a diagonal of a square is \(\sqrt{2}a\), where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be \(\sqrt{209}\)m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

\(\sqrt{2}\cdot\sqrt{209}\)

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, \(209\cdot 2 = 418\)

So the length of the diagonal is \(\sqrt{418}\) m.

Hope this helped!

Answer: 56%

Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.

So we need to find a fraction that's equivalent

to 28/50 that has a 100 in the denominator.

To do this, we set up a proportion.

So we have 28/50 = n/100.

To find the value of n, we first find the fraction that

is equivalent to 28/50 that has a denominator of 100.

If we multiply both the numerator and denominator of

28/50 by 2, we can see that 28/50 = 56/100.

So 28/50 is equal to 56/100 or 56%.

The experimental units in this setting are the white shirts.

A physical entity that is the primary unit of interest in a specific research objective in an experimental study. The experimental unit is typically the person, animal, or object that is the subject of the experiment.

An experimental unit is a treatment-receiving item (or physical entity). In most experiments, identifying the experimental unit is a simple task, but there are exceptions.

Since the researcher conducts an experiment using 10 loads of white shirts with similar stains. The white shirts are the experimental units.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

A standard deviation of 23.16.

In a recent election, where 65% of people supported reelecting the incumbent, a poll was conducted with a sample size of 1390 people.

To approximate the binomial distribution with a normal distribution, we can calculate the mean and standard deviation.

The mean is determined by multiplying the sample size (1390) by the proportion of support (0.65), resulting in a mean of 898.5.

The standard deviation is calculated by taking the square root of the product of the proportion of support (0.65) with the proportion of opposition (0.35), divided by the sample size, and then multiplied by the square root of the sample size.

This yields a standard deviation of approximately 23.16.

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