a) % of a revolution: 100 feet
b) Radians: 100 feet
c) 1.1 revolutions: 100 feet
d) 710 degrees: 100 feet
To find John's height above the lowest point on the ferris wheel, we can use the formulas:
(a) height = (fraction of revolution) * 100 feet
(b) height = (fraction of revolution) * (2π) feet
Substituting the given values, we can calculate the heights in terms of percentages, radians, 1.1 revolutions, and 710 degrees.
(a) To determine John's height above the lowest point on the ferris wheel in terms of a percentage of a revolution, we need to find the fraction of the wheel's circumference covered. Since a complete revolution corresponds to a height of 100 feet, we can set up the proportion: height / 100 = fraction of revolution / 1. Solving for the height, we get height = (fraction of revolution) * 100 feet.
(b) To express John's height in radians, we need to convert the fraction of a revolution to radians. One revolution is equal to 2π radians, so we can set up the proportion: height / 100 = (fraction of revolution) / (2π). Solving for the height, we get height = (fraction of revolution) * (2π) feet.
(c) For 1.1 revolutions, the fraction of a revolution is 1.1. Substituting this value into the formulas from parts (a) and (b), we can find the height above the lowest point on the wheel.
(d) For 710 degrees, we need to convert it to a fraction of a revolution by dividing it by 360. Substituting this fraction into the formulas from parts (a) and (b), we can find the height above the lowest point on the wheel.
In summary:
a) % of a revolution: 100 feet
b) Radians: 100 feet
c) 1.1 revolutions: 100 feet
d) 710 degrees: 100 feet
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What is the sum of polynomials 7x 3 4x 2 )+( 2x 3 4x 2?
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
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Certificate A pays $2200 in three months and another $2200 in six months. Certificate B pays $2200 in four months and another $2200 in seven months. If the current rate of return required on this type of investment certificate is 4.55%, determine the current value of each of the certificates. (Do not round intermediate calculations and round your final answers to 2 decimal places.)
The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.
For Certificate A the first payment of $2200 is received in three months. The second payment of $2200 is received in six months.
PV = CF / (1 + r)ⁿ
PV = Present Value
CF = Cash Flow
r = Rate of return
n = Number of periods
n = 3/12
n = 0.25
PV₁ = \(\frac{2200}{(1+0.455)^{0.25}}\)
PV₁= 2200 / 1.011349
PV₁ = 2174.24
n = 6/12
n = 0.5
PV₂ = \(\frac{2200}{(1+0.455)^{0.5}}\)
PV₂ = 2200 / 1.022595
PV₂ = 2148.17
Therefore, the current value of Certificate A is approximately $2174.24 + $2148.17 = $4322.41.
For Certificate B the first payment of $2200 is received in four months. The second payment of $2200 is received in seven months.
PV₁ = \(\frac{2200}{(1+0.455)^{\frac{6}{12} } }\)
PV₁ = 2200 / 1.014674
PV₁ = 2161.40
PV₂ = \(\frac{2200}{(1+0.455)^{\frac{7}{12} } }\)
PV₂ = 2200 / 1.018202
PV₂ = 2158.63
Therefore, the current value of Certificate B is approximately $2161.40 + $2158.63 = $4319.03.
The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.
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5÷6 is 5/6. What is 16 of 5/5?
A. 5/6
B. 1 1/5
C. 6/5
D. 1/5 of 6
Answer:
Step-by-step explanation:
D. 1/5 of 6
what are the main differences between symmetric and asymmetric cryptographic algorithms?
Symmetric and asymmetric cryptography are both used to secure data, with symmetric algorithms being faster and better suited for bulk data encryption while asymmetric algorithms provide an additional layer of security and are better suited for smaller data sets.
Symmetric cryptographic algorithms use the same key to encrypt and decrypt data, while asymmetric cryptographic algorithms use different keys to encrypt and decrypt data. Symmetric algorithms are generally faster than asymmetric algorithms, making them more suitable for bulk data encryption. Additionally, symmetric algorithms are not vulnerable to man-in-the-middle attacks.
Asymmetric algorithms, on the other hand, are more secure than symmetric algorithms since they require two different keys to encrypt and decrypt data. This makes them more difficult to break, as an attacker would need to obtain both keys. Asymmetric algorithms are also more suitable for smaller amounts of data, such as digital signatures, where the security of the data is more important than speed. However, asymmetric algorithms are vulnerable to man-in-the-middle attacks and other types of attacks that target the keys used to encrypt and decrypt data.
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A tree casts a shadow of 15 meters, while a 2-meter post nearby casts a shadow of 3 meters. How tall is the tree
The tree is 10 meters tall.
To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the tree to the length of its shadow should be equal to the ratio of the height of the post to the length of its shadow, since they are both located in the same plane and are being illuminated by the same light source.
Let's use proportions to solve this problem. We can set up the proportion:
height of tree / length of tree's shadow = height of post / length of post's shadow
Let h be the height of the tree. Then we have:
h / 15 = 2 / 3
Cross-multiplying, we get:
3h = 30
h = 10
Therefore, the tree is 10 meters tall.
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Their food and beverage cot $25. 30 and there i an 8% meal tax After adding a tip, the total lunch cot wa $32. 24. What percentage tip did they give? Enter your anwer to the nearet percentage
A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.
Cost of the food = $25.30
Tax on the food cost = 8%
Tax amount
= 8% of 25.30
= 0.08 × 25.30
= 2.204
Total cost of food before tip = 25.30 + 2.204 = $27.504
Tip given = 32.24 - 27.504 = 5.036
Tip percentage
= 5.036 / 27.504 × 100%
= 18.31%
≈ 18%
Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.
Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.
One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.
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what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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What is the product of 7.24 × 0.6?
Answer:
the answer is 4.344
Step-by-step explanation:
hope this helps :)
Pls help me with this work
Answer:
Step-by-step explanation:
To the 4th power means that all the items in the parenthesis is mulitplied 4 times
(9m)⁴
=9*9*9*9*m*m*m*m*m or
= (9m)(9m)(9m)(9m)
How far can a bat travel in nine hours, if it is flying at nineteen miles per hour?
Answer:
171
Step-by-step explanation:
This is because 19*9=171. 19 miles per hour and 9 hours.
Find m<1
A. 70°
B. 65°
C. 50°
D. 40°
Question :- Find Angle 1 in diagram
Answer:- Exterior angle is equal to sum of two opposite interior Angle
so :- ATQ
\(140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans\)
so your answer is option (C) 50°
What is the slope of the line graphed below?
A. 2/3.
B. -2/3.
C. 3/2.
D. -3/2.
E. 1/2.
Answer: a. 2/3
Step-by-step explanation:
As the y value increases by 2, the x value increases by 3.
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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60% of all community college students identify as female. A random sample of 250 community college students is taken.
a) Find the standard deviation for the sampling distribution of the sample proportion. (Round your answer to 3 decimal places.)
b) Find the probability that more than 64% of this sample of 250 community college students identifies as female. (Round your answer to 4 decimal places.)
a) The standard deviation for the sampling distribution of the sample proportion is approximately 0.031. b) The probability that more than 64% of this sample of 250 community college students identifies as female is approximately 0.0934
a) To find the standard deviation for the sampling distribution of the sample proportion, we can use the formula:
σ =√(p * (1 - p) / n)
Where:
p = population proportion
n = sample size
Given that 60% of all community college students identify as female, the population proportion is p = 0.60. The sample size is n = 250.
Using the formula, we can calculate the standard deviation:
σ = √(0.60 * (1 - 0.60) / 250)
σ = √(0.24 / 250)
σ =√(0.00096)
σ = 0.031
b) To find the probability that more than 64% of this sample of 250 community college students identifies as female, we need to calculate the z-score and then find the corresponding probability using the standard normal distribution table.
First, calculate the sample proportion:
p= 0.64
Next, calculate the z-score:
z = (p - p) / √(p * (1 - p) / n)
= (0.64 - 0.60) / √(0.60 * (1 - 0.60) / 250)
= 0.04 / √(0.24 / 250)
= 0.04 / √(0.00096)
= 1.32
Now, we can find the probability using the standard normal distribution table or calculator.
P(Z > 1.32) = 1 - P(Z ≤ 1.32)
Consulting the standard normal distribution table, we find that the area to the left of 1.32 is approximately 0.9066. Therefore,
P(Z > 1.32) = 1 - 0.9066
= 0.0934
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What is the image of (4,-7) after a reflection over the line y=x
Answer:
(-4,7)
Step-by-step explanation:
solved by graphing
Lou's car had 6.6 gallons in the 16- gallon tank on the coldest day of the year . Lou filled the tank with gas that cost 3.70 per gallon how much money did lou spend
Answer: $33.48
Step-by-step explanation:
Given that:
Capacity of car tank =. 16 gallons
Gallons of already filled = 6.6 gallons
Amount left of tank capacity = 16 - 6.7
Amount left of tank capacity = 9.3 gallons
Cost of gas per gallon = $3.60
Hence, amount spent in gas will be
Amount left of tank capacity * cost per gallon of gas
= 9.3 gallons * $3.60
= $33.48
Total amount spent on gas = $33.48
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In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
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suppose someone offers max the following gamble: with probability 0.50 he will win $10 and with probability 0.50 he will lose $8. the expected value of this gamble is
The expected value of this gamble is $1.
The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.
The formula for expected value (EV) is as follows:
Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)
Hence, substituting the values:
Expected Value = (0.5 × $10) − (0.5 × $8)
Expected Value = $5 - $4
Expected Value = $1
Therefore, the expected value of this gamble is $1.
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Compare- 6 broken bulbs out of 20 or 7 broken bulbs out of 30
Answer:
well 6/20 has more absolute value than 7/30
Step-by-step explanation:
also 7/30 is closer to zero
Comparison of 30% has more absolute value than 23.3%
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
Let x = 6 broken bulbs out of 20
y = 7 broken bulbs out of 30
x = 6/20
x = 0.3
There are 30% bulbs broken out of 20
y = 7/30
y = 0.233
There are 23.3% bulbs broken out of 20
Hence, 30% has more absolute value than 23.3%
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What is the binary number for 21
Answer:
I believe this is 10101
Percentage problems with mixed number
1. What is 15 12 % of 600?
2. Find 33 1/3 % of $1200
3. Calculate 12 1/2% of 160
4. Tim paid 5 14 % interest on $1600 he
borrowed. How much did he pay in
total?
Answer:
1. 93
2.400
3. 20
4. $1684
Step-by-step explanation:
Start by a etting up an equality.
0.155/100 = x/600
Then cross multiply.
(0.155) × (600) ÷ 100 = 93
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through the point (2,0)?
-2x+ y=-4
-2x+y=2
X+2y=2
X+2y=4
Answer:
\(x + 2y= 2\)
Step-by-step explanation:
Given
Points:
\(F = (4,9)\)
\(G = (1,3)\)
Required
Determine the equation of line that is perpendicular to the given points and that pass through \((2,0)\)
First, we need to determine the slope, m of FG
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\(F = (4,9)\) --- \((x_1,y_1)\)
\(G = (1,3)\) --- \((x_2,y_2)\)
\(m = \frac{3 - 9}{1 - 4}\)
\(m = \frac{- 6}{- 3}\)
\(m =2\)
The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
\(m_2 = -\frac{1}{m}\)
\(m_2 = -\frac{1}{2}\)
The equation of the line is then calculated as:
\(y - y_1 = m_2(x - x_1)\)
Where
\(m_2 = -\frac{1}{2}\)
\((x_1,y_1) = (2,0)\)
\(y - 0 = -\frac{1}{2}(x - 2)\)
\(y = -\frac{1}{2}(x - 2)\)
\(y = -\frac{1}{2}x + 1\)
Multiply through by 2
\(2y = -x + 2\)
Add x to both sides
\(x + 2y= -x +x+ 2\)
\(x + 2y= 2\)
Hence, the line of the equation is \(x + 2y= 2\)
Answer:
X+2y=2
Step-by-step explanation:
For what value of x is the figure a rectangle? Please help
Answer:
x = 8
Hope this helps!
Step-by-step explanation:
( 2x + 42 )° + ( 4x )° = 90° ( right angle )
6x + 42 = 90
6x = 90 - 42
6x = 48
x = 8
Vote you brainiest please help me
Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
f(x)=x^3-2x^2-11x+12 r theorem to find the x-intercepts of the function, and plot their x-values on the number line.
Answer:
x intercepts are : (1,0)(4,0),(-3,0)
Step-by-step explanation:
x intercepts are : (1,0)(4,0),(-3,0)
plot only the x values
hope it helps
for a posttest following anova, there are four different treatment groups. how many pairwise comparisons must be made to gain a complete understanding of which treatment effects differ significantly from others? a. 4 b. 6 c. 12 d. 24
There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.
To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:
A vs B
A vs C
A vs D
B vs C
B vs D
C vs D
Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.
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If p(a) is 0.6, p(b) is 0.5, probability of both the events happening together is 0.25> What is the probability of either event occurring?
To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).
Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.
\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.
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The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.
The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.
Given:
p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)
To calculate the probability of either event occurring, we can use the formula:
p(a or b) = p(a) + p(b) - p(a and b)
Substituting the given values into the formula:
p(a or b) = 0.6 + 0.5 - 0.25
p(a or b) = 0.85 - 0.25
p(a or b) = 0.6
Therefore, the probability of either event A or event B occurring is 0.6.
To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.
If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:
p(A or B) = 0.5 + 0.5 - 0.25
= 0.75
Therefore, the probability of either rolling an even number or flipping heads is 0.75.
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An elevator has a placard stating that the maximum capacity is 1884 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1884/12=157 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 157 lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe? BICICIE The probability the elevator is overloaded is (Round to four decimal places as needed) Does this elevator appear to be safe? OA. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity OB. No, 12 randomly selected people will never be under the weight limit. OC. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity OD. Yes, 12 randomly selected adult male passengers will always be under the weight limit. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. www OA. 0.4332 OB. 0.9332 OC. 0.5000 OD. 0.0668 Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Cost 9 2 3 5 9 10-> 4 2 68 67 Number 52 55 85 A. 0.235 OB. 0.708 OC. 0.246 OD. -0.071 86 83 73
The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.
Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:
Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.
We can write as below:
Maximum capacity per person=1884/12=157lb.
And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586
Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.
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Pls helpPlsplsplsplspls
Answer:
it's applied to an force reallllll