Answer:3.5 and -3.5
Step-by-step explanation:
Because of the absolute value marks a negative will become positive. So 3.5 and |-3.5| are equal to 3.5
Select the equivalent expression.
Answer:
The answer is B
Step-by-step explanation:
This is because when you distribute the -4 to 9^6 and 7^-24 you will get 9^-24 and 7^36. Then, you can move the 7^-24 to the denominator because of the negative exponent rule.
PS: ^ means to the power of
In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?
1. Use the following data to create a box-and-whisker plot: 15, 13, 2, 8, 20, 35, 12, 9, 14, 6, 8.
(a) What is the median of the data? Show your work.
(b) What is the inner quartile range (IQR)? Show your work.
(c) What are the upper and lower fences? Show your work.
(d) Which data point is an outlier? Explain why.
(e) Create a modified box plot to show the outlier as well as the beginning and end values of each
whisker and box. Label the values on the box plot.
The box represents the interquartile range (IQR) from Q1 to Q3 (8 to 15). The line inside the box represents the median (12).
The whiskers extend from the box to the minimum value (2) and the maximum value (35), excluding the outlier.
The outlier (35) is plotted as a point outside the whiskers.
To create a box-and-whisker plot, we need to arrange the data in ascending order first:
2, 6, 8, 8, 9, 12, 13, 14, 15, 20, 35
(a) The median is the middle value of the data when it is arranged in ascending order.
In this case, we have 11 data points, so the median is the value in the middle, which is the 6th value:
Median = 12
(b) The inner quartile range (IQR) is the range between the first quartile (Q1) and the third quartile (Q3).
To find these quartiles, we need to divide the data into four equal parts.
Q1 is the median of the lower half of the data:
Lower half: 2, 6, 8, 8, 9
Median of the lower half = 8
Q3 is the median of the upper half of the data:
Upper half: 13, 14, 15, 20, 35
Median of the upper half = 15
IQR = Q3 - Q1 = 15 - 8 = 7
(c) The upper and lower fences are used to identify potential outliers. The fences are calculated using the following formulas:
Lower fence = Q1 - 1.5 × IQR
Upper fence = Q3 + 1.5 × IQR
Lower fence = 8 - 1.5 × 7 = 8 - 10.5 = -2.5
Upper fence = 15 + 1.5 × 7 = 15 + 10.5 = 25.5
(d) To identify the outlier, we need to look for any data point that falls outside the lower and upper fences. In this case, the value 35 is greater than the upper fence (25.5), so it is considered an outlier.
e) Here is the modified box plot, including the outlier and the values on the plot:
| | | | | | |
-2.5 | 2 | 6 | 8 | 12 | 15 | 20 | 25.5
| | | | | | |
The box represents the interquartile range (IQR) from Q1 to Q3 (8 to 15). The line inside the box represents the median (12). The whiskers extend from the box to the minimum value (2) and the maximum value (35), excluding the outlier. The outlier (35) is plotted as a point outside the whiskers.
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PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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For a craft project, four students each chose three pieces of wire from a box. Don's wires measure 3 inches, 5 inches, and 12 inches. Margo's wires measure 6 inches, 8 inches, and 14 inches. Sonji's wires measure 12 inches, 8 inches, and 17 inches. Liam's wires measure 16 inches, 8 inches, and 27 inches.
Answer:
Sonji's wires measure will be chosen
Step-by-step explanation:
Given:
Don's wires measure = 3 inches, 5 inches, and 12 inches
Margo's wires measure = 6 inches, 8 inches, and 14 inches
Sonji's wires measure = 12 inches, 8 inches, and 17 inches
Liam's wires measure = 16 inches, 8 inches, and 27 inches.
Find:
Measure used to construct a triangle
Computation:
In a triangle sum of two smaller side is grater then bigger side
a + b > c
So.
Don's wires measure = 3 inches + 5 inches < 12 inches
Margo's wires measure = 6 inches + 8 inches = 14 inches
Sonji's wires measure = 12 inches + 8 inches > 17 inches
Liam's wires measure = 16 inches + 8 inches < 27 inches.
So,
Sonji's wires measure will be chosen
Answer:
sonji
Step-by-step explanation:
period
Find the values of x and y. State which theorem(s) you used.
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
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.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
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On a test called the MMPI-2, a score of 30 on the Anxiety Subscale is considered
very low. Felipe participates in a yoga group at his gym and decides to give this
subscale to 18 people in his yoga group. The mean of their scores is 35.2, with a standard deviation of 10.4. He wants to determine whether their anxiety scores are statistically equal to 30.
What are the groups for this one-sample t-test?
What is the null hypothesis for this one-sample t-test?
What is the value of "?
Should the researcher conduct a one- or two-tailed test?
What is the alternative hypothesis?
What is the value for degrees of freedom?
What is the t-observed value?
What is(are) the t-critical value(s)?
Based on the critical and observed values, should Felipe reject or retain the null
hypothesis? Does this mean that his yoga group has scores that are above 30, below 30, or
statistically equal to 30?
What is the p-value for this example?
What is the Cohen’s d value for this example?
If the " value were dropped to .01, would Felipe reject or retain the null hypothesis?
Calculate a 42% CI around the sample mean.
Calculate a 79% CI around the sample mean.
Calculate a 95% CI around the sample mean.
The MMPI-2 test is used for the assessment of psychopathology and personality of patients.
It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.
A score of 30 or less is usually considered very low.
The questions are answered by the patient, usually in a clinical or research setting.
A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.
The following are the parameters of the one-sample t-test:Groups:
18 participants
Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30
Type of test: One-tailed test
Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.
Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734
Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5
If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).
For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13
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It takes 6 boys 15 days to clean a field on a small plot. How long will it take 8 boys?Show Calculations Please
Step-by-step explanation:
so it take 20 days for 8 boys
Answer:
8 boys is 20 days
Step-by-step explanation:
\(6 \: boys \: : \: 15 \: days \\ 8 \: boys \: : x \: days \\ 8 \times 15 = 6x \\ \frac{120}{6} = x \\ x = 20 \: days\)
hope this makes sense
:)
Gabby received 6 job offers from 15 interview he did last month.Which ratio best describes the relationship between the number of jobs he was not offered and the number of jobs for which he was interviewed
Answer:
the answer is 3:5
Step-by-step explanation:
Total number of jobs for the interview = 15
number of job offers received by Gabby = 6
number of jobs not offered = 15 - 6 = 9
therefore, the relationship will be 9:15
3:5
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
272 bison
Step-by-step explanation:
y(5)=240\((1+0.025)^{5}\)
y(5) = 271. 5 bison ≈272 bison
The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650?
The Vickers hardness (HV) test calculates indentation diagonal length (d) when a load is applied to a material.
To determine d when a 0.700 kg load produces a Vickers HV of 650, use the formula: HV = 1.8544 * (F/d^2), where F is the force in Newtons (N) and d is in mm.
First, convert the load to Newtons: F = 0.700 kg * 9.81 m/s^2 ≈ 6.867 N. Next, rearrange the formula for d: d = √(1.8544 * F/HV). Substituting values: d = √(1.8544 * 6.867 N / 650) ≈ 0.044 mm.
So, the indentation diagonal length (d) is approximately 0.044 mm when a 0.700 kg load produces a Vickers HV of 650.
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The tangent lines of a simple curve have azimuths 300 and bearing N 04° E, respectively. A third tangent line AB intersects the two tangent lines at bearing S 34 E. Stationing of the Pl of the curve is 16 + 464.35 and the distance from point B to the Pl of the curve is 277.6 m (ie BV = 277.6 m). Determine the following: a. Radius of the simple curve that shall be tangent to these three lines. b. Stationing of the PC Stationing of the PT
The radius of the simple curve is not provided and b. The stationing of the PC and PT is not provided.
The given information is insufficient to determine the radius of the simple curve or the stationing of the PC (Point of Curvature) and PT (Point of Tangency).
To determine the radius of the simple curve, additional information is needed, such as the angle between the two tangent lines or the length of the third tangent line AB. Without this information, we cannot calculate the radius.
Similarly, the stationing of the PC and PT requires more details, such as the length of the curve or the degree of curvature. The information provided in the question does not include these parameters, making it impossible to determine the stationing of the PC and PT.
Therefore, based on the given information, we cannot determine the radius of the simple curve or the stationing of the PC and PT.
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Determine another point on the line given two points on the line.
(0, 4), (2, 5)
The coordinates of another point are (4, 6).
We are given the coordinates of two points. The two points are (0, 4) and (2, 5). A straight line passes through the two given points.
We will find the equation of the straight line using the formula given below :
(y - y1) = [(y2 - y1)/(x2 - x1)](x - x1)
(y - 4) = [(5 - 4)/(2 - 0)](x - 0)
(y - 4) = (1/2)x
y = (1/2)x + 4
We have to find another point on the line. Let us choose a value for the x-coordinate equal to 4. The y-coordinate can be calculated as given below :
y = (1/2)4 + 4
y = 2 + 4
y = 6
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Which of the following most closely rounds to the number 1
Answer:
1.1???????
Step-by-step explanation:
Answer:Its most likely to be D
Step-by-step explanation:
There are 2 cups of flour in a batch of pancakes Manny is making 3/2 batches. How can Manny tell if he needs more or fewer than 2 cups of flour?
Answer:
Manny is making 3/2 batches, which is equivalent to 1.5, it's more than one. So, Manny is making more than 1 batch.
According to the problem, 2 cups of flour in a batch, if he's making 1.5 batch, he would need 3 cups of flour, which is more than 2 cups of flour.
Step-by-step explanation:
855000000000 in scientific notation pls help ASAP!!!
Answer:
8.55 × \(10^{11}\)
Step-by-step explanation:
solve the literal equation for y
4x+1=9+4y show steps please i am confused
The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)
y = x - 2
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Multiple Choice
Integrate Completely
∫³₁ (6x² + 4x − 2) dx
O 64
O 48
O Can't integrate
O None of the Above
None of the Above matches the completely integrated expression \(2x^3 + 2x^2 - 2x + C.\)
To solve this problemWe can use the power rule of integration.
To integrate the expression ∫³₁ (6x² + 4x − 2) dx, we can apply the power rule of integration.
The power rule states that the integral of \(x^n\) with respect to x is \((x^(n+1))/(n+1) + C,\) where C is the constant of integration.
Let's integrate each term of the expression separately:
∫ (6x²) dx =\((6/3) * (x^3) = 2x^3\)
∫ (4x) dx = \((4/2) * (x^2) = 2x^2\)
∫ (-2) dx = -2x
Now, we can add up the individual integrals:
∫³₁ (6x² + 4x − 2) dx = \(2x^3 + 2x^2 - 2x + C\)
Therefore, the completely integrated expression is \(2x^3 + 2x^2 - 2x + C,\)where C is the constant of integration.
None of the Above matches the completely integrated expression \(2x^3 + 2x^2 - 2x + C.\)
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Anyone know the answer for this
Answer: x=17
Step-by-step explanation:
1.Identify relationship
Since both the angles are on the inside of both parallel lines and on the same side of the transversal you know that you have a same side interior relationship that makes them supplementary
2. set up equation
because they are supplementary you know that they are equal to 180 which gives the equation: 3x+6+123=180
3. solve the equation
3x+6+123=180
3x+129=180 | combine like terms
3x=51 | subtract 123 from both sides
x=17 | divide by 3 on both sides
Write the first six terms of the sequence whose nth term is (−1)n/(2n + 4).
a1 =
a2 =
a3 =
a4 =
a5 =
a6 =
The formula for the nth term of the sequence \((-1)^n\) / (2n + 4) creates a sequence that alternates between positive and negative values and gets smaller as n increases.
First, let's break down what the formula for the nth term means. The \((-1)^n\) term is simply a way to alternate between positive and negative values, depending on the value of n. When n is an even number, \((-1)^n\) is equal to 1, and when n is an odd number, \((-1)^n\) is equal to -1.
The denominator, 2n + 4, increases as n increases. This means that as n gets larger, the fraction becomes smaller and smaller since the numerator \((-1)^n\) stays the same. In other words, the sequence alternates between positive and negative terms and becomes smaller as n increases.
To find the first six terms of the sequence, we simply substitute the values 1 through 6 for n in the formula and simplify each term. This gives us:
\(a_1 = (-1)^1 / (2(1) + 4) = -1/6\)
\(a_2 = (-1)^2 / (2(2) + 4) = 1/8\)
\(a_3 = (-1)^3 / (2(3) + 4) = -1/10\)
\(a_4 = (-1)^4 / (2(4) + 4) = 1/12\)
\(a_5 = (-1)^5 / (2(5) + 4) = -1/14\)
\(a_6 = (-1)^6 / (2(6) + 4) = 1/16\)
So the first six terms of the sequence are -1/6, 1/8, -1/10, 1/12, -1/14, and 1/16.
Overall, the formula for the nth term of the sequence \((-1)^n\) / (2n + 4) creates a sequence that alternates between positive and negative values and gets smaller as n increases. By substituting the values 1 through 6 for n, we can find the first six terms of the sequence.
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An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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What is the expected value for the binomial
distribution below?
Successes
0
1
2
3
4
5
Probability
1024/3125
256/625
128/625
32/625
4/625
1/3125
Answer: 1
Step-by-step explanation:
\(1=\frac{256}{625}\)
Binomial Distribution:The binomial distribution with parameters \(n\) and \(p\) is the discrete probability distribution of the number of successes in a series of \(n\) independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability \(q=1p\)). This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or \(n=1\), the binomial distribution is a Bernoulli distribution. The popular binomial test of statistical significance is based on the binomial distribution.Therefore, the expected value for the binomial distribution below is \(1=\frac{256}{625}\).
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Solve the following system of equations using substitution (Enter your answer as an ordered pair, including the parentheses and comma.)
-3x+6y=12
2y=x+4
The system of equations has infinite solutions, both equations represent the same line.
How to solve the system of equations?
Here we have the following system of equations:
-3x+6y=12
2y=x+4
And we want to solve this by substitution, first, we can rewrite the first equation as:
-3x + 3*(2y) = 12
Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:
-3x + 3*(x + 4) = 12
Now we can solve this for x.
-3x + 3x + 12 = 12
12 = 12
So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).
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Consider the following definite integral.sxex²+1d'dx0Identify the definite integral that will result after making a u-substitution.
The first choice is the correct result
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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If the frequency of a radio station is 88. 1 MHz (8. 81 × 107 Hz), what is the wavelength of the wave used by this radio station for its broadcast? The answer should have three significant figures. Meters.
To calculate the wavelength of a radio wave, we can use the formula: wavelength = speed of light / frequency the wavelength of the radio wave used by this radio station is approximately 3.41 meters.
The speed of light is a constant value, approximately 3.00 × 10^8 meters per second.
Given that the frequency of the radio station is 8.81 × 10^7 Hz, we can substitute these values into the formula:
wavelength = (3.00 × 10^8 m/s) / (8.81 × 10^7 Hz)
Performing the calculation, the wavelength of the radio wave used by this radio station is approximately 3.41 meters.Therefore, the wavelength of the wave used by this radio station for its broadcast is approximately 3.41 meters, with three significant figures.
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Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9
A. five times X cubed plus two times X squared plus nine
B. five times X cubed and two times X squared minus nine
C. five times X squared plus two times X cubed minus nine
D. the sum of five times X squared and two times X cubed minus nine
Answer:
B
Step-by-step explanation:
five times x cubed plus/and two times x squared minus nine.
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 18 inches, and the length of the base is 15
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer:
54 inStep-by-step explanation:
Use Pythagorean to find the missing side x of the triangle.
It is a hypotenuse with other sides 18 in and half of 15 in:
\(x = \sqrt{18^2+(15/2)^2} =\sqrt{380.25} =19.5\)The perimeter is:
P = 2*19.5 + 15 = 54A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial
The first scenario described is an example of a retrospective cohort study. The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.
1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.
2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.
3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.
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