Answer:
\(Mean=83.05^{\circ}\)
Step-by-step explanation:
Given that,
The two measures of a center are 82.5 degrees and 83.6 degrees.
We need to find the value of the mean.
We know that,
\(\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}\)
So,
\(M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}\)
So, the value of the mean is equal to \(83.05^{\circ}\).
Alex grew 1 foot over the past year. He is now 6 feet tall. Write and use a proportion to find the percent increase in Alex's height.
Answer:
Step-by-step explanation:
Last year Alex was 6-1 = 5 feet tall.
1/5 = 0.20 = 20%
The increase in height is 20%
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Deirdre deposits $2,500.00 into an account that pays 3.5% annual simple interest. If she makes no other deposits, what will be the balance in the account at the end of two years?
Answer:
2678.06
Step-by-step explanation:
Annual is once every year and 3.5% of 2,500.00 is
3.5% ×2,500.00 = 87.5
so in the first year Deirdre has 2500.00 + 87.5 = 2587.5
then you find 3.5% of 2587.5 which is 90.56250000000001
but since it's money we round it to 90.56
2587.5+90.56= 2678.06
Answer:
at the end of 5 years it will be $1,280.30 for one one account so it would be same for each account
Step-by-step explanation:
(0)
In paragraph format, identify and describe how quantitative literacy (math skills) may be used in a clinical setting. Consider your chosen career path, your current place of work, or a previous work setting.
Give a specific example of how you would use (or have used) quantitative analysis.
Write a "math problem" for your group to solve. Topics may include calculating dosages, converting to military or international time as used in hospitals, radiology angles, converting temperature from Celsius to Fahrenheit, use of calibrated spoons, etc. And just in case this is really difficult (which it may be), here are a few other topics for creating a math problem:
Quantitative literacy can be used in a clinical setting to assess the patient's health status, determine the patient's progress, and make informed decisions.
Medical professionals must be competent in quantitative literacy to ensure that patients receive the best possible care. To ensure that patients receive the best possible care, quantitative literacy must be used. Quantitative literacy is critical in a clinical setting because of its ability to provide accurate information, facilitate decision-making, and improve patient outcomes.Quantitative literacy may be used in a clinical setting in a variety of ways. Some examples of how quantitative literacy may be used in a clinical setting include:Calculating dosages: When calculating dosages, quantitative literacy is critical to ensuring that the correct amount of medication is given to the patient. This is particularly important for medications that have a narrow therapeutic window, such as insulin or digoxin.Converting temperatures: Quantitative literacy is essential when converting temperatures from Celsius to Fahrenheit or vice versa. This is important when monitoring patient's body temperature for signs of fever or hypothermia.Calculating infusion rates: When administering intravenous fluids, quantitative literacy is essential to ensure that the correct infusion rate is used. This is important because fluids that are infused too quickly can cause fluid overload, while fluids that are infused too slowly may not provide adequate hydration
.Math Problem:
Convert 50°C to Fahrenheit
To convert Celsius to Fahrenheit, you use the following formula:
F = (C x 1.8) + 32
Substitute 50 for C in the formula:
F = (50 x 1.8) + 32F = 90 + 32F = 122°F
Therefore, 50°C is equal to 122°F.
In conclusion, quantitative literacy is critical to ensure that patients receive the best possible care. In the medical field, nurses, doctors, and other healthcare professionals must have excellent quantitative skills to interpret and use numerical data. They must understand how to calculate medication dosages, infusion rates, and vital signs accurately. They must also be able to interpret lab results, which are typically presented numerically. Without quantitative literacy, healthcare professionals would not be able to provide adequate care to their patients.
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How do you divide fractions with a whole number for dummies?
Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.
For instance, to multiply 3/4 by 2:
Put 2 over 1, making it 2/1, to make it a fraction.
To get 1/2, invert 2/1.
To get 3/8, multiply 3/4 by 1/2.
Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.
Hence, 1/4 is equivalent to 3/4 when divided by 2.
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9/2 divided by 2/9 this is dividing fractions
Answer:
4/81
Step-by-step explanation:
Don't ask i just know
-Too much work to explain
The division of of 9/2 by 2/9 is equal to 81/4.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
In this case, we need to divide 9/2 by 2/9.
Dividing fractions: (a/b) ÷ (c/d) = (a/b) * (d/c)
So, we can rewrite the expression as:
(9/2) ÷ (2/9) = (9/2) * (9/2)
Now, let's perform the multiplication:
(9/2) * (9/2) = (9 * 9) / (2 * 2) = 81/4
Therefore, the division gives 81/4.
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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graph the function f(x)=2x-3
Answer:
-3y ( 1, -1 )
Step-by-step explanation:
you start at -3y and move up 2 times and you'll be at ( 1, -1 )
The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y=211.49-20.96 cosh 0.03291765x for the central curve of the arch, where x and y are measured in meters and |x| ≤ 91.20. At what points is the height 100 m?
To find the points where the height of the Gateway Arch is 100 meters, we need to solve the equation y = 100 for x.
Substituting y = 100 into the equation for the central curve of the arch, we get:
100 = 211.49 - 20.96 cosh (0.03291765x)
Rearranging the equation, we get:
cosh (0.03291765x) = (211.49 - 100) / 20.96
cosh (0.03291765x) = 5.21
Taking the inverse hyperbolic cosine of both sides, we get:
0.03291765x = acosh(5.21)
x = (1/0.03291765) acosh(5.21)
Solving for x using a calculator, we get:
x = ± 64.975
Therefore, the height of the Gateway Arch is 100 meters at the points (64.975, 100) and (-64.975, 100).
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data analysts use one-sample hypothesis tests to ______. a. frustrate students b. manage random sampling error c. justify their jobs d. make bad decisions e. all of the choices above f. none of the choices
Data analysts use one-sample hypothesis tests to manage random sampling error. The correct answer is (b).
Data analysts use one-sample hypothesis tests to manage random sampling error. Random sampling error refers to the variability or differences that can occur between a sample and the population it represents.
By conducting hypothesis tests, analysts can determine if the observed data from a sample is statistically significant and can be generalized to the larger population.
Hypothesis tests help analysts assess whether an observed effect or relationship in the sample is likely to be a true effect or relationship in the population or if it is simply due to random chance.
By testing a hypothesis and comparing the sample data to a null hypothesis, analysts can evaluate the validity of their findings and make informed decisions based on the results.
The purpose of hypothesis tests is not to frustrate students, justify their jobs, or make bad decisions. Instead, they serve as a statistical tool to manage random sampling error and provide reliable and valid conclusions based on data analysis.
The correct answer is (b)
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WILL GIVE BRAINLIEST PLZZZZ HELP
Answer: y= 8295
Step-by-step explanation:
Jackson bought 3 shirts costing $15.98, $19, and $24.50.How much money did he spend altogether?
Answer:
Jackson spent $59.48 altogether
Step-by-step explanation:
15.98+19= 34.98
34.98+24.50= 59.48
if a power series matches a function f(x) exactly everywhere, the radius of convergence is
If a power series matches a function f(x) exactly everywhere, then the radius of convergence is infinite.
This means that the power series converges for all values of x. In other words, the power series can be used to approximate the function f(x) with arbitrary accuracy for any value of x.
This is a very powerful tool in mathematics and has many practical applications in science, engineering, and other fields.
The proof that a power series with infinite radius of convergence matches a function f(x) exactly everywhere is based on the fact that a power series is a sum of infinitely many terms, each of which is a polynomial in x.
By adding up these polynomials, we can approximate any function f(x) to an arbitrary degree of accuracy. The only limitation is that we need to know the coefficients of the power series,
which can be obtained by differentiating or integrating the function f(x) or by using other mathematical techniques. Once we have the coefficients, we can plug them into the power series formula and get an exact match for the function f(x).
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is the value of Y+6 greater in4(y+6)=48 or 12(y+6)=48 how do you know?
To determine which expression has a greater value for Y + 6, we need to isolate Y + 6 on one side of the equation and compare the two expressions.
Starting with 4(y + 6) = 48, we can distribute the 4 to get 4y + 24 = 48. Subtracting 24 from both sides gives us 4y = 24, and then dividing both sides by 4 gives us y = 6. So, for this expression, the value of Y + 6 is 6 + 6 = 12.
Next, for 12(y + 6) = 48, we can distribute the 12 to get 12y + 72 = 48. Subtracting 72 from both sides gives us 12y = -24, and then dividing both sides by 12 gives us y = -2. So, for this expression, the value of Y + 6 is -2 + 6 = 4.
Therefore, the value of Y + 6 is greater in 4(y + 6) = 48 than in 12(y + 6) = 48.
Answer:
The value of y + 6 is greater in the first equation.
----------------------------
Divide both sides of the first equation by 4:
4(y + 6) = 48y + 6 = 12Divide both sides of the second equation by 12:
12(y + 6) = 48y + 6 = 4As we see the first expression has greater value since 12 > 4.
A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?
A. y= -1/2x + 1
B. y= 1/2x + 7
C. y= -2x + -8
D. y= 2x + 16
Please Help ☺️
Answer:
Is A
Step-by-step explanation:
(2-4)/(-2--6) = -1/2
And the only answer that has -1/2 as the slope is A
El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.
Answer:
Area of sector = 144.4π cm²
Step-by-step explanation:
Given:
Perimeter of circle = 40π cm
Given angle = 130°
Find:
Area of sector
Computation:
Perimeter of circle = 2πr
⇒ 40π = 2πr
⇒ 40 = 2r
⇒ Radius r = 40 / 2
Radius r = 20 cm
Area of sector = [θ/360][π][r]²
⇒ Area of sector = [130/360][π][20]²
⇒ Area of sector = [0.361][π][400]
Area of sector = 144.4π cm²
How many feet do you travel going 40 mph?
Answer: 211200
Step-by-step explanation: Ok so assuming you are asking how many feet you travel per hour going 40 mph. You would travel 211200. There are 5280 ft in a mile. If you multiply that by 40 you get 211200. So you travel 211200ft per hour
In the ACME rubber ball factory, a stream of rubber balls, each of mass m, comes out of a horizontal tube at a rate of R per second. These balls fall a distance of h into a bucket of mass M suspended by a rope from the ceiling. If the balls bounce out of the bucket back to their original height when leaving the tube, what is the (average) tension T in the massless rope holding the bucket
Therefore, the average force exerted on the bucket per unit time is given by the change in momentum divided by the time interval: Δp / (1/R) = RΔp.
The average tension T in the massless rope holding the bucket is equal to the total force exerted on the bucket due to the falling rubber balls. This force is equal to the change in momentum of the balls per unit time. When a rubber ball falls into the bucket, it experiences a change in momentum due to the gravitational force acting on it.
The change in momentum is given by the product of the mass of the ball (m) and the change in velocity (v), which is equal to the velocity of the ball when it leaves the tube. Since the balls bounce back to their original height, the change in velocity is twice the initial velocity, as the ball reverses its direction. The time interval between successive ball impacts is 1/R.
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A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 18 cm, a width of 6 cm, and a height of 9 cm. The pyramid has a height of 15 cm. Find the volume of the composite space figure.
How am I supposed to know I need an explanation or answer. Thanks!
The required volume of the given composite space figure is 1512 \(cm^3\).
Given that, the rectangular pyramid fits exactly on top of a rectangular prism. The length of the prism is 18 cm, width is 6 cm and height is 9 cm. The length of the pyramid is 18 cm, width is 6 cm and height is 15 cm.
To find the volume of the composite figure formed by the rectangular pyramid on top of the prism, find the volume of prism and pyramid and then add it .
The volume of the prism is given by V1 = length × width × height.
The volume of the pyramid is given by V2 = length × width × height.
The volume of the composite figure is V = V1 +V2.
By using the given data and formula, find the volume of the prism,
Volume of prism V1 = length × width × height.
Volume of prism V1 = 18 × 6 × 9.
Thus, Volume of prism V1 = 972 \(cm^3\) .
By using the given data and formula, find the volume of the pyramid,
Volume of pyramid V2 = (length × width × height)/3.
Volume of pyramid V2 = (18 × 6 × 15)/3.
Thus, Volume of pyramid V2 = 1620/3= 540 \(cm^3\) .
By using above volumes, find the volume of the composite figure.
V = V1 +V2.
V = 972 + 540.
V = 1512 \(cm^3\) .
Hence, the required volume of the given composite space figure is
1512 \(cm^3\)
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Andy cut a 21 foot board into three pieces. The longest piece is 4 feet longer than the shortest piece. If the remaining piece is 2 feet shorter than the longest piece, how long is the shortest piece
The shortest piece is 5 feet long.
Let's use the terms given and set up the equation:
Let x represent the shortest piece.
According to the problem:
- The longest piece is 4 feet longer than the shortest piece, so it is x + 4 feet.
- The remaining piece is 2 feet shorter than the longest piece, so it is (x + 4) - 2 = x + 2 feet.
- The total length of the board is 21 feet.
Now we can set up the equation:
x (shortest piece) + (x + 4) (longest piece) + (x + 2) (remaining piece) = 21 feet.
Combining the terms, we get:
x + x + 4 + x + 2 = 21.
Simplifying, we get:
3x + 6 = 21.
Now, we need to solve for x (the shortest piece):
Subtract 6 from both sides: 3x = 15
Divide both sides by 3: x = 5.
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miguel Has a figure filled with 890 cube without any gaps or overlaps each cube has a side length of one unit which statement must be true about Miguel's figure?
A) it has a volume of 890 cubic units
B) it has an area of 890 square units.
C) it has a length of 890 units
D) it has a width of 890 units
Answer:
I believe it is C
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When preparing to measure the height and weight of a newly admitted patient, why would the nurse ask about the patient's ability to stand?
To determine if the patient is steady enough to stand without assistance
The nurse asks the patient about their ability to stand when preparing to measure their height and weight because it is the most accurate way to measure these physical characteristics. By asking about their ability to stand, the nurse can determine if alternative methods of measurement need to be used, and can also identify any underlying health issues that need to be addressed
When a patient is admitted to a healthcare facility, one of the first things the healthcare provider does is gather information about the patient's physical characteristics. This includes measuring the patient's height and weight.
As part of the preparation process for measuring height and weight, the nurse may ask the patient about their ability to stand. There are several reasons why this is important.
First, the most accurate way to measure height is to have the patient stand upright, with their head facing forward and their feet together. If the patient is unable to stand, the nurse may have to use alternative methods to measure height, such as a measuring tape, which may not be as accurate.
Second, standing is also the most accurate way to measure weight. If the patient is unable to stand, the nurse may have to use a bed scale, which may not provide an accurate measurement of the patient's weight.
Finally, asking the patient about their ability to stand helps the nurse to determine if there are any underlying health issues that need to be addressed. For example, if the patient is unable to stand, it may indicate that they have a mobility issue that needs to be addressed.
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A man invested a certain amount of money in two separate projects in the ration 3:2. His profit was calculated on interest rates of 5% and 4% simple interest, respectively. If after two years, he received a sum of GH¢9,200.00 as his profit for the two projects, calculate the total amount he invested in the two projects.
Answer:
100,000
Step-by-step explanation:
Investment ratio = 3 : 2
Rate = 5% and 4% simple interest
Total interest after 2 years = 9200
Let total investment = t
(3/5t * 0.05 * 2) + (2/5t * 0.04 * 2) = 9200
3/5t * 0.1 + 2/5t * 0.08 = 9200
0.06t + 0.032t = 9200
0.092t = 9200
t = 9200 / 0.092
t = 100,000
find the area of the figure
Answer: 165 square cm
Step-by-step explanation:
Solve the following equation for x.
(3/5)x - 15 = (6/5)x + 12
5
-5
-45
45
Answer:
x = -45
Step-by-step explanation:
(3/5)x - 15 = (6/5)x + 12
(6/5)x - (3/5)x = -15 - 12
(3/5)x = -27
0.6x = -27
x = (-27)/0.6
x = -45
Ryan works for a delivery service. The function f(n) is used to calculate his daily pay, in dollars, on a day when he makes n deliveries.
what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650
the indentation diagonal length is approximately 0.0686 units.
What is Intention Diagonal Length?
The indentation diagonal d is determined by the mean value of the two diagonals d 1 and d 2 at right angles to each other: To avoid the risk of bulging of the material on the opposite side of the sample, the thickness should not fall below a certain minimum value. value. The minimum thickness depends on the expected hardness of the material and the test load.
To calculate the indentation diagonal length using the Vickers hardness value, you need to know the applied load and the hardness number. The Vickers hardness test measures the resistance of a material to indentation using a diamond indenter.
In this case, you have the following information:
Load: 0.700 kg
Vickers HV: 650
The Vickers hardness number (HV) is defined as the applied load divided by the surface area of the indentation.
The formula to calculate the indentation diagonal length (d) is:
d = 1.854 * sqrt(L / HV)
Where:
d = indentation diagonal length
L = applied load in kg
HV = Vickers hardness number
Plugging in the values:
d = 1.854 * sqrt(0.700 / 650)
Calculating the square root and performing the division:
d ≈ 1.854 * 0.0370262
d ≈ 0.0686
Therefore, the indentation diagonal length is approximately 0.0686 units. Please note that the specific unit (e.g., millimeters) was not provided in the question, so the answer is given in relative units.
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PLEASEEE HELP ASAPPPP!!!!
Answer:
(-15,3) (2,-11) (-3,-7) (12,4)
Step-by-step explanation:
tell me if im wrong
a car of mass 1500 kg starting from rest can reach a speedof 20m/s within 10 sec. calculate the accelerating force of the car engine.
it is physics not mathematics.
Answer:
given mass =1500kg
intial velocity(u)=0 m/s
final velocity(v)=20m/s
time(s)=10 sec
accelerating force of the car engine=final velocity-intial velocity/time=20-0/10=20/10=2m/s^2
gabriella anwswered 72 questions correctly on her multiple choice history final and earned a grade of 36%. how many total question were on final exam
Answer:
200 questions
Step-by-step explanation:
Here,
total answers Gabriella answered=72
grade = 36%
total number of question = ?(X)
We know,
36% of X = 72
or, 36x/100 = 72
or, 36x = 72*100
or, x = 7200/36
or, x = 200
Rodrigo has 54 Pokémon cards that is nine times as many cards Joseph has how many Pokémon cards does Joseph has
Answer:
6
Step-by-step explanation:
54/9 = 6
6 times 9 = 54
Answer:
Joseph has 6 cards.
Step-by-step explanation:
54/9=6
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