Find the exact value of sin V in simplest radical form.
√74
7

The speed of each boy is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For this problem, the parameters are given as follows:

Hence the functions are given as follows:

They meet at 1 pm, which is three hours after 10 am, hence the velocity of the faster boy is obtained as follows:

3v = 68 - 3(v - 3)

3v = 68 - 3v + 9

6v = 77

v = 77/6

v = 12.83 miles per hour.

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Answer:

8√57/57

Step-by-step explanation:

a² + b² = c²

a² + 8² = 11²

a² + 64 = 121

a² = 57

a = √57

For angle Θ, opp = 8, adj = √57, hyp = 11.

tan Θ = opp/adj = 8/√57 = 8√57/57

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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The arc length and the sector area are l = 0.25πr and A = (πr²) / 8.

The sector is essentially a section of a circle, and it may be described using the following three criteria:

The area of a disc that is surrounded by two radii and an arc is known as a circular sector.

The circle is divided into the Main Sector and the Minor Sector by a sector.

The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.

The arc length is given as:

l = α/360 (2πr)

The angle is 45 degrees thus,

l = (45/360)(2πr)

l = 0.25πr

The sector area is given as:

A = α/360 (πr²)

A = 45/360 (πr²)

A = (πr²) / 8

Hence, the arc length and the sector area are l = 0.25πr and A = (πr²) / 8.

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Answer:

It will take Richard 12 minutes to type 720 words.

Step-by-step explanation:

720 ÷ 60 = 12

Answer: Her total exercise time was 25 minutes

The amount of money an account with simple interest at an annual rate of 3% would be $750 after 5 years.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

Simple Interest = (Principal × Rate × Time) / 100

Given that deposit amount is $5,000 in an account that earns simple interest at an annual rate of 3%.

Amount = $5,000

Rate = 3%

Time = 5 years

Therefore, Simple Interest = (Principal × Rate × Time) / 100

Simple Interest = 5,000 × 3% × 5

Simple Interest = 5,000 × 3/100 × 5

Simple Interest = 750

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There is No relation between the variables ggg and hhh.

To determine if the given table shows a proportional relationship between the variables ggg and hhh, we need to check if the ratio of hhh to ggg is constant for all values of ggg.

Let's calculate the ratios of hhh to ggg for each value of ggg:

For ggg = 333, hhh/ggg = 999/333 = 3.

For ggg = 666, hhh/ggg = 363636/666 = 546.

For ggg = 999, hhh/ggg = 818181/999 = 819.

Since the ratios of hhh to ggg are not constant, the given table does not show a proportional relationship between the variables ggg and hhh.

Therefore, the answer is "No, the table does not show a proportional relationship between the variables ggg and hhh."

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The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24

We have to make 'y' the subject from the equation, we have;

x-3/2y=-12

By solving for the variable, we need to work it out.

Also, we have to make it stand alone on one end of the equality sign.

cross multiply the values

x - 3(1) = -12(2y)

multiply the values

x-3 = -24y

Make 'y' the subject by dividing both sides by the coefficient of y

y = x-3/-24

Hence, the equation is y = x-3/-24

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Answer:

-5/3.

Step-by-step explanation:

To find the slope of a line perpendicular to another line, we need to remember that the slopes of two perpendicular lines are negative reciprocals of each other. To find the slope of the line perpendicular to 3x - 5y = 45, we need to first convert it to slope-intercept form, which is y = mx + b, where m is the slope of the line.

First, isolate the y-term:

3x - 5y = 45

5y = -3x + 45

y = -(3/5)x + 9

So the slope of the original line is -3/5. The slope of the line perpendicular to it would be the negative reciprocal of this slope, which is -5/3.

Therefore, the slope of a line perpendicular to 3x - 5y = 45 is -5/3.

Answer:

3/5

Step-by-step explanation:

The solution of the expression x = √176 is x = 13.27.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

x² = 176

Taking the square root of the equation,

x = √176

x = 13.27

Therefore, the solution is x = 13.27.

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The probability that an orange weighs more than 17 oz is 0.1587.

The probability that an orange weighs more than 17 oz is 0.1587. This value can be calculated using the Z-score formula, which is used to calculate the probability of an event occurring. The formula is as follows:

Z = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

In this case, the Z-score is (17 - 14) / 2 or 1.5. We can find the probability using the Z-score table, which gives us 0.1587, the probability that an orange weighs more than 17 oz.

The Z-score formula is useful for determining the probability of an event occurring when the data follows a normal distribution. Knowing the mean and standard deviation, we can calculate the likelihood of a certain outcome occurring. In this case, the probability that an orange weighs more than 17 oz is 0.1587.

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PLEASE GIVE BRAINLIEST!
thank you and have a good day :)

Answer:

5)1/12

6) 25%

Step-by-step explanation:

5)The odds of Mr Douglas eating two slices of cheese pizza can be calculated by doing 3/(5 + 1 +3) = 1/3

the second slice's odds can be calculated by doing 2/(5+1+2) = 1/4

Multiply these to get the odds of two being eaten

1/4 times 1/3 is 1/12.

6) the odds of her selecting a red pen the first time is 50%. to do it again would be another 50% chance. 50% times 50% is 25%.

Answer: 3x + 8y

Step-by-step explanation:

Combining like terms is simply adding all the terms which are similar.

2x+6x-5x= 3x

5y+3y= 8y

Hope it helps!

Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.

In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.

A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

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Answer:  None of the above

Step-by-step explanation: It's none because we need to divide the 70 apples by the 4 in the sample ratio. That's 17.5. Now, we need to multiply 3 by that. So, 17.5 * 3 = 52.5. That's equal to about 53 oranges. But, as we see that is not an answer choice. So, I believe it's none of the above.

4:3 = 53:70 (about 53)

Explanation:

The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.

About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent

Some of the properties of a quadrilateral are;

1) They have four vertices.

2) They have four sides.

3) The sum of all interior angles is 360°.

4) They have two diagonals.

5) A quadrilateral can be regular or irregular.

Now, from the description of Quadrilaterals T and Z, we can say that;

- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.

- Base angles of quadrilateral z are congruent since opposite sides are congruent.

- Consecutive angles of quadrilateral Z are not congruent

- Opposite angles of quadrilateral T are not supplementary.

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Answer:

d > - 7

Step-by-step explanation:

Swap the sides :

- 11.8d < 82.6

Then, divide both sides of the inequality by -11.8 and flip the inequality sign

The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.

The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:

(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10

Therefore, the mean waiting time is 44.10 minutes.

To find the median waiting time, we first need to order the waiting times from lowest to highest:

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:

(median) = (43+44)/2 = 43.5

The median waiting time is 43.5 minutes.

The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:

(mode) = 42

The mode waiting time is 42 minutes.

The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:

25th percentile = (25/100) * 40 = 10

This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.

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____ The given question is incorrect, the complete question is given below:

There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.

The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.

The correlation coefficient (denoted by ρ) between x and y can be calculated as:

ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.

We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:

ρ = 25 / (10 * 5) = 0.5

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a. The probability of getting exactly 451 girls in 887 births is 0.0578.

b. The probability of getting 451 or more girls in 887 births is 0.0478. To determine if 451 girls in 887 births is unusually high, we compare this probability to a significance level (alpha) of choice and then either reject or accept the null hypothesis.

c. The probability from part (b) is more relevant for trying to determine whether the technique is effective because it considers a range of outcomes that are consistent with the hypothesis that boys and girls are equally likely.

d. Based on the​ results, we can reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.

Probability is the likelihood of an event occurring or not occurring.

Mathematically;

a. To find the probability of getting exactly 451 girls in 887 births, we can use the binomial distribution with n = 887 and p = 0.5 (since boys and girls are equally likely).

The probability of getting k girls is given by the formula:

P(k girls) = (n choose k) * p^k * (1-p)^(n-k)

Plugging in the values, we get:

P(451 girls) = (887 choose 451) * 0.5^451 * 0.5^436

P(451 girls) = 0.0578 (rounded to four decimal places)

b. To find the probability of getting 451 or more girls in 887 births, we can add up the probabilities of getting 451, 452, 453, ..., up to 887 girls. The cumulative binomial distribution is used to determine the probability of getting k or fewer girls:

P(k or fewer girls) = sum((n choose i) * p^i * (1-p)^(n-i), i = 0 to k)

Since we want the probability of getting 451 or more girls, we can subtract the probability of getting 450 or fewer girls from 1:

P(451 or more girls) = 1 - P(450 or fewer girls)

= 1 - sum((887 choose i) * 0.5^i * 0.5^(887-i), i = 0 to 450)

= 0.0478

d. To determine if the gender-selection technique is effective, we need to compare the probability of getting 451 or more girls (from part (b)) to a significance level (alpha) of our choice.

Using an alpha set to 0.05, the probability of getting 451 or more girls in 887 births is 0.0478, it is less than 0.05. Therefore, we reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.

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Answer:

Step-by-step explanation:

You want to know the slope of the line segment between (-4, -3) and (3, -3), and its relation to the x-axis.

The slope of a line between two points (x1, y1) and (x2, y2) is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points, the slope is ...

  m = (-3 -(-3))/(3 -(-4)) = 0/7 = 0

The slope of the line segment is zero.

The line segment has the same slope as the x-axis. It is parallel to the x-axis.

__

Additional comment

The equation of the line segment is ...

  y = -3 . . . for -4 ≤ x ≤ 3

The equation of the x-axis is ...

  y = 0

The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).

Let's break this down:

"The product of m and n" means you multiply m by n, which is written as "m * n".

"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".

"Their difference" refers to the difference between m and n, which is written as "m - n".

"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".

So, putting it all together, we have:

(m * n) / (3 * (m - n))

This expression represents the product of m and n, divided by three times their difference.

It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.

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Answer: 2.4

Step-by-step explanation:

8-2z=10z+3

First, take variables to one side

Don’t forget to change symbols when switch

-2z -10z= -8+3

Now solve, simplify

-12z=-5

The negatives cancel out, so divide both sides by 12

Z= 2.4

Answer: 28xy(7x^2-1)

Step-by-step explanation:

28x^3yx7z^2-7x4xy

196x^3-28xy

A chairman and vice chairman are to be selected from a committee of eight people in such a way that no one treasurer individual can hold more than one position. The permutation of 8 different objects, chosen two at a time, results in the number of possible chairman selections in this situation.

[tex]^{8} P_{2} =[/tex][tex]8/8-2=8/6=8*7*6/6=8*7=56[/tex]

Cash and liquidity management, risk management, and corporate finance are among the important basic responsibilities of a corporate treasurer. The division in charge of a nation's finances, economy, and revenue is known as the treasury. Although in certain nations the treasury answers to a Secretary of the Treasury or Chancellor of the Exchequer, the treasurer is often in charge of the department. After the Prime Minister and Deputy Prime Minister, the Treasurer is a senior minister in Australia and frequently the second or third most significant member of the cabinet. Additionally, each Australian state and autonomous territory has its own treasurer.

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The system that is represented in the graph include:

y > x² – 2x – 3

y > 3x + 4

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this case, a graph consists of vertices connected by edges.

The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.

This depicts y > x² – 2x – 3 and y > 3x + 4.

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Which system is represented in the graph?

y ≥ x2 – 2x – 3

y ≤ 3x + 4

y < x2 –2x – 3

y > 3x + 4

y < x2 – 2x – 3

y > 3x + 4

y > x2 – 2x – 3

y > 3x + 4

The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.

What is an equation?

An equation is an expression with variables and constant having an equality sign. The degree of equation can be one or more than one.

We are given that initially there are  8 assistant caregivers

and 5 senior caregivers.

And the owner is going to be hiring 3 assistant caregivers per month and

4 senior caregivers per month.

Hence the number of total assistant caregivers after n months will be

3n +8

And the number of senior caregivers after n months will be 4n+ 5

To find n we equate the two

3n + 8 = 4n+5

n =3

Hence after 3 months there will be same number of assistant and senior caregivers

And the total number of assistant and senior caregivers is 3(3)+8 = 17

The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.

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