a phlebotomist measured the cholesterol levels of a sample of 252525 people between the ages of 353535 and 444444 years old. here are summary statistics for the samples:

Answer:

The question is asking you to measure it, so I'm assuming you would do so with a ruler and get the exact measurement in centimetres.

If passenger seat position within each vehicle is ignoring, then the number of ways that can the friends travel is 17847429600 ways

Total number of friends = 26 friends

They have 6 seat car and 13 seat car and remaining 3 will take a bus

In the first car 6 of the 26 friends are going to sit

The combination will be

26C₆ =  230230

The combination is defined as An arrangement of object where the order in which the objects are selected doesn't  matter. The combination means Selection of things, where the order of things has no importance.

In the second car 13 of 20 friends are going to sit

The combination will be

20C₁₃ = 77520

Calculate combinations, use the formula n Cr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. Calculate a combination,  will need to calculate a factorial.

The factorial of a number is the multiplication of all the numbers between 1 and the number itself. It is written like this: n! . So the factorial of 2 is 2! (= 1 × 2).

Remaining 3 will take the train

Therefore the number of ways = 26C₆ × 20C₁₃  × 3C₃

                                                      = 230230 × 77520 × 1

                                                      = 17847429600

Hence, the number of ways that can the friends travel is 17847429600  ways.

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Answer:

25-10=15

Step-by-step explanation:

The number of players the team brought to the tournament is 12.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Given that, Members of a softball team raised $1525.50 to go to a tournament.

Let x be the number of players the team can bring to the tournament.

Members of a softball team rented a bus for $1075.50 and they budgeted $37.50 per player for meals.

Now, the equation is

1075.50+37.50x=1525.50

37.50x=1525.50-1075.50

37.50x=450

x=450/37.50

x=12

Therefore, the number of players are 12.

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Table values are -3, -1, 3, 5, 13

A function is a mathematical object that maps each element from one set to a unique element in another set. Functions are represented using symbols and can be described using graphs, tables, or equations.

Given function is,

\(f(x)=2x +3\)

Solve for x = -3,   f(-3) = 2×(-3) + 3 = -6 + 3 = -3

f(-3) = -3

Solve for x = -2,   f(-2) = 2×(-2) + 3 = -4 + 3 = -1

f(-2) = -1

Solve for x = 0,   f(0) = 2×(0) + 3 = 0 + 3 = +3

f(0) = 3

Solve for x = 1,   f(1) = 2×(1) + 3 = 2 + 3 = 5

f(1) = 5

Solve for x = 5,   f(5) = 2×(5) + 3 = 10 + 3 = 13

f(5) = 13

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The consecutive integers for the two roots are:

17) 14 < √214 < 15

18) 7 < ∛441 < 8

17) First, we want to find two consecutive integers such that √214 lies between them.

To do so, we just need to find two consecutive integers such that when we square them, one is smaller than 214, and the other is larger than 214.

For example:

13*13 = 169

14*14 = 196

15*15 = 225

Now we can see that:

14² < 214 < 15²

If we apply the square root we get:

14 < √214 < 15

Thes are the two integers.

18) Now we want to do the same thing, but this time with:

∛441

This time we need to cube our numbers.

7*7*7 = 343

8*8*8 = 512

These are the two integers such that:

343 < 441 < 512

Now we can apply the cube root to get:

∛343 <∛ 441 < ∛512

7 < ∛441 < 8

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For washing 2.7 loads capacity of clothes, 8.64 liters would be used.

What is capacity?

Capacity refers to the amount of laundry a washing machine can wash in one load. Capacity is always measured in the weight of the dry laundry.

Given, for 1 load of clothes      = 3.2 liters of water used.

           for 2.7 loads of clothes = 2.7*3.2 liters of water used.

                                                   = 8.64 liters of water used.

Hence, for 2.7 loads of clothes, 8.64 liters would be used.

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The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.

What is geometric progression?

Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an

Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1

Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5

Given:

Value of a3 = 36

Value of a6 = 288

n = 5

a3 = ar2           — 1

a6 = ar5

Now, a6 / a3 = ar5 / ar2 = 288 / 36

r3 = 8

Taking cube root both sides, we get,

r = 2

Putting the value of r in equation 1,

a3 = a(2)2

36 = 4a

a = 9

As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)

Sn = 9(2n - 1) / (2 - 1)

Sn = 9(2n - 1)

Using n = 5, we have,

Sn = 9[(2)5 - 1]

Sn = 9(32 - 1)

Sn = 9 × 33

Sn = 297

Hence, the value of the partial sum of a G.P. is 297

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Answer:

5 ( y + 3 ) = 4

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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Answer:

Therefore, the shaded portion of the figure represents 44% of the increase in area of the rectangle.

Step-by-step explanation:

The increase in area of the rectangle is represented by the shaded portion of the figure. The shaded portion is the difference between the area of the original rectangle and the area of the new rectangle. The area of the original rectangle is l * w, where l is the length of the rectangle and w is the width of the rectangle. The area of the new rectangle is (1.2l) * (1.2w) = 1.44 * l * w. The difference between these two areas is 0.44 * l * w, which is the shaded portion of the figure.

The percentage increase in area is calculated by dividing the increase in area by the original area and multiplying by 100%. In this case, the increase in area is 0.44 * l * w and the original area is l * w. The percentage increase in area is therefore 0.44 * 100% = 44%.

Therefore, the shaded portion of the figure represents 44% of the increase in area of the rectangle.

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Answer: Hi! The answer is 28.2

Step-by-step explanation:

The value of x from the given diagram is 28.3 in

From the diagram shown, we are given the following:

To get the value of x, we will use the relatinship;

Sin theta = opp/hyp

Sin 16.5 = 8/x

x = 8/sin16.5

x = 8/0.2840

x = 28.16

x = 28.2in

Hence the value of x from the given diagram is 28.3 in

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The acronym used in assessing a patient's level of consciousness is A. AVPU.

AVPU stands for Alert, Voice, Pain, and Unresponsive. This mnemonic is commonly used by healthcare professionals to quickly and easily assess a patient's level of consciousness. Here's a brief explanation of each level:

1. Alert: The patient is fully awake, responsive, and aware of their surroundings.
2. Voice: The patient responds to verbal stimuli but may not be fully alert.
3. Pain: The patient responds only to painful stimuli, such as pinching or applying pressure.
4. Unresponsive: The patient does not respond to any stimuli, indicating a potentially critical condition.

In assessing a patient's level of consciousness, the acronym AVPU is the most suitable choice among the options provided. It allows healthcare professionals to quickly evaluate a patient's responsiveness to various stimuli and determine their level of consciousness.

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Answer:

RATIO

Step-by-step explanation:

Using a proportional relationship, it is found that the function that best represents the relationship between x, the number of weeks the student has been in the program and y, is \(y = 15x\), and the graph is given at the end of the answer.

\(y = kx\)

In this problem, the students learns 15 new words each week, hence, the equation is:

\(y = 15x, x \geq 0\)

And the graph is given at the end of this answer.

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If the rubik's cube of length 18CM is divided into 9 equal cubical pieces then the length of each small cubical piece is 9cm.

Let the edge of the small cubes =x cm.

Then, Volume of larger cube = 9×Volume of small cubes.

(18)³ = 9 × x³

5832 = 9 × x³

x³ = 5832/9

x = ³√648

x = 9cm (approx)

Hence, the length of 9 equal cubicle pieces is 9cm each.

A cube is a solid three-dimensional figure with six square faces, eight vertices, and twelve edges that is used in mathematics or geometry. Also claimed to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent real-world example and is useful for boosting cognitive function. Similar to this, there are numerous examples in everyday life, such as six-sided dice, etc.

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Answer:

b

Step-by-step explanation:

The range of the function g(x) = 3|x-1| - 1 by evaluation is; [-1,00].

From the taks content, the function given is;

Hence, it follows that the lowest possible value of y is -1 by means of the absolute value sign in the equation.

The range is therefore; [-1, 00].

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The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

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Maria spends $22 on lottery tickets every week and $133 every month on food yearly

This means that in a year

there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets

and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food

The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is

Answer:

f(x) = log (x-5)

Step-by-step explanation:

__________

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

A relation is a function if it has only One y-value for each x-value.

we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.

There are three types of asymptotes: vertical, horizontal and oblique.

The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

Hence, f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

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Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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Answer:

16 + 104 = 120 square inches

Step-by-step explanation:

13 x 8 = 104

17 - 13 = 4

4 x 8 =32

32 divided by 2 is 16

so 16 +104 = 120

Answer:

9m+4n+5

Step-by-step explanation:

9m

19 - 14 = 5

4n

so we can combined the 9m,5,4n to 9m+4n+5

Answer:

9m+4n+5

Step-by-step explanation:

Combine the like terms:

9m+19+-14+4n

=(9m)+(4n)+(19-14)

=9m+4n+5

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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False , Teenage and young adult drivers are killed due to distracted driving.

Drivers under the age of 21 have a higher likelihood of being distracted than those over that age. A 2019 survey of high school students in the United States found that 39% of those who had driven in the 30 days prior had texted or emailed at least once.

White students (44%) were more likely to text or email while driving than Black (30%) or Hispanic (35%). Older students were more likely to engage in this behaviour than younger students.

Students were just as likely to use email or text while driving.

When texting or sending emails while driving, students were more likely to report engaging in extra risky driving behaviours. They were more likely to occasionally fail to put their belts.

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The answer to this question is in the screenshot provided.

Step-by-step explanation:

Prime numbers have 2, or less factors.

Composite numbers have 3, or more factors.

Factors are numbers that can be used to multiply towards the given (17).

Factors of 17:

17: 1, 17.

17 has only 2 factors, as 17 is an odd number and it's proven that there's only two factors that multiply to get to 17, 1 and 17.

17 is a prime number, 17 has 2 factors.

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Its step 3 thats wrong

i think you can do this one! :     )