Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
Wayne is recording the number of hours he sleeps over different periods of time. The table provided shows the number of hours Wayne sleeps during the respective amount of days.
Number of Days Hours of Sleep
3 15
6 30
9 45
12 60
15 75
What is the rate of change of Wayne's hours of sleep with respect to each day?
A.
6 hours per day
B.
5 hours per day
C.
8 hours per day
D.
3 hours per day
The rate of change of Wayne's hours of sleep with respect to each day is 5 hours per day.
What is the rate of change of Wayne's hours of sleep?The rate of change of Wayne's hours of sleep with respect to each day is calculated as follows;
Mathematically, the formula is given as;
rate of change of sleep = change in sleep / change in time of sleep
The change in the sleep pattern = 30 - 15 = 15 hours
The change in the time of sleep = 6 - 3 = 3 days
The rate of change of Wayne's hours of sleep with respect to each day is calculated as
rate of change of sleep = ( 15 hours ) / ( 3 days )
rate of change of sleep = 5 hours per day
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Assume that the length of Earth's equator is exactly 25,100 miles and that the Earth is a perfect sphere. The town of Lena, Wisconsin, is at $45^{\circ}$ North Latitude, exactly halfway between the equator and the North Pole. What is the number of miles in the circumference of the circle on Earth parallel to the equator and through Lena, Wisconsin
The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.
To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.
Given:
Length of the Earth's equator = 25,100 miles
Latitude of Lena, Wisconsin = 45 degrees north
The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:
Circumference = (Cos(latitude) * Earth's equator circumference)
First, we need to convert the latitude from degrees to radians:
Latitude in radians = 45 degrees * (π / 180)
Latitude in radians = π/4
Next, we can substitute the latitude in radians into the formula to calculate the circumference:
Circumference = (Cos(π/4) * 25,100 miles)
Using the value of the cosine of π/4 (which is √2 / 2), we have:
Circumference = (√2 / 2) * 25,100 miles
Simplifying:
Circumference ≈ 0.707 * 25,100 miles
Circumference ≈ 17,747.07 miles
Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.
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calcaulate the reliability of the system if all components function properly with probability 0.95. [hint: a,b and c,d are not in sequel. start with parallel components!]
The reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and 0.80 is 0.99. The answer is option b.
What is reliability?The probability that a specific object will carry out its intended function for a specific amount of time under a specific set of circumstances without experiencing any failures is known as reliability.
The reliability definition is based on four criteria: function, fulfillment likelihood, duration, and environment. Maintainability and reliability are related because when a machine or product malfunctions, there may be a way to get it back into working order.
When we use the phrase "talking reliability-smart," we mean that any of the aspects that shape the device in parallel can be considered. This does not necessarily imply that they are physically parallel (in all circumstances), as parallel capacitors have a certain behavior in the circuit and may malfunction if one of them fails.
Parallel forms reliability is a measure of reliability obtained by giving the same set of people different versions of an assessment tool (each version must contain items that probe the same construct, talent, knowledge base, etc.
The complete question is given below:-
What is the reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and 0.80?
a. 0.875
b. 0.99
c. 0.95
d. 0.76
e. 0.80
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Write True and false
A test statistic based on point estimation is used to construct the decision rule which defines the rejection region.
The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.
In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.
The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.
Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.
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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.
The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.
Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.
While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.
The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.
Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.
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Bank customers arrive randomly on weekday afternoons at an average of 3.2 customers every 4 minutes. What is the probability of having:
a) more than 3 customers in a 4-minute interval on a weekday afternoon?
b) exactly 3 customers in a 4-minute interval on a weekday afternoon?
c) at most 2 customers in a 4-minute interval on a weekday afternoon?
d) at least 4 customers in a 4-minute interval on a weekday afternoon?
Given: The number of bank customers arriving randomly on weekday afternoons is 3.2 every 4 minutes.
We have to find the probability of having more than 3 customers, exactly 3 customers, at most 2 customers, and at least 4 customers in a 4-minute interval on a weekday afternoon. Let X be the random variable for the number of bank customers in 4 minutes. Then, X follows a Poisson distribution with parameter λ as follows.P(X = x) = e-λ λx/x!, x = 0, 1, 2, 3, ….Here, λ = the expected number of bank customers in 4 minutes= 3.2 (given).Therefore, P(X = x) = e-λ λx/x! = e-3.2 3.2x/x!, x = 0, 1, 2, 3, ….a) Probability of having more than 3 customers in a 4-minute interval on a weekday afternoon.P(X > 3) = 1 - P(X ≤ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))= 1 - (e-3.2 * 31/1! + e-3.2 * 3.22/2! + e-3.2 * 3.23/3! + e-3.2 * 3.24/4!) ≈ 1 - 0.2823 ≈ 0.7177. The main answer is 0.7177.b) Probability of having exactly 3 customers in a 4-minute interval on a weekday afternoon.P(X = 3) = e-λ λx/x! = e-3.2 3.23/3! ≈ 0.2271. The main answer is 0.2271.c) Probability of having at most 2 customers in a 4-minute interval on a weekday afternoon.P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = e-3.2 * 30/0! + e-3.2 * 3.21/1! + e-3.2 * 3.22/2! ≈ 0.1522. The main answer is 0.1522.d) Probability of having at least 4 customers in a 4-minute interval on a weekday afternoon.P(X ≥ 4) = 1 - P(X ≤ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))= 1 - (e-3.2 * 30/0! + e-3.2 * 3.21/1! + e-3.2 * 3.22/2! + e-3.2 * 3.23/3!) ≈ 0.2834. The main answer is 0.2834.Conclusion:The probability of having more than 3 customers is 0.7177.The probability of having exactly 3 customers is 0.2271.The probability of having at most 2 customers is 0.1522.The probability of having at least 4 customers is 0.2834.
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what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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Suppose 56 cars start at a car race. In how many ways can the top 3 cars finish the race?
Answer:
By finishing in the top 3, wrecking others to win. There was literally no context or options to this so I made my own up. Sorry m8
Step-by-step explanation:
What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median
The name of the segment inside the large triangle is called the: 3. angle bisector.
What is an Angle Bisector?The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.
The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.
A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.
Therefore, we can state that the name of the segment is: 3. angle bisector.
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Which of the following transformations is non-rigid? A.translationB.dilationC.reflectionD.rotation
From the question the transformations that non-rigid is dilation. The correct answer is B.
what is nonrigid transformation?Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.
Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.
As a result, a dilation is a non-rigid transformation because the size of the image is changing.
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Adam and Mags win £2400. They split the money in the ratio 1:5. How much does Adam get?
Answer:
Adam gets £400
Step-by-step explanation:
Adam : Mag
1:5 1+5=6
2400÷6=400
400x1=400
400x5=2000
Eric is on diet where he must eat between 1500 and 3000 calories per day.
If he already had 750 calories for breakfast, how many can he have the rest of the day
Answer:
He can have up to 750 to 2250 calories for the rest of the day.
1500 - 750 = 750
3000 - 750 = 2250
Step-by-step explanation:
Hope it helps! =D
Answer:
from 750 to 2250
Step-by-step explanation:
the least calories he can have is 750 which sums up to 1500 with the calories he's already eaten, and the most he can have is 2250 calories which sums up to 3000 and he can have any amount in between
Suppose x’s represent solutions and y’s represent problems. S(x, y) means "x is a solution for problem y". Explain, in English, what each of these statements is saying. They do not mean the same thing.
1. ∃x∀yS(x, y)
2. ∀y∃xS(x, y)
The first statement focuses on the existence of a single solution that works for all problems, while the second statement emphasizes that for each problem, there is at least one solution available, without specifying whether it is the same solution for all problems.
1) ∃x∀yS(x, y):
This statement means "There exists at least one solution that works for all problems." In other words, there is a specific value of x that can be applied to every problem y, resulting in a solution.
2) ∀y∃xS(x, y):
This statement means "For every problem, there exists at least one solution." In other words, for any given problem y, there is at least one value of x that can be applied to it to find a solution.
The main distinction between these two statements lies in the order of quantifiers (∃ and ∀). In the first statement, the existential quantifier (∃x) appears before the universal quantifier (∀y), indicating that there is a single solution that can be applied to all problems.
In the second statement, the universal quantifier (∀y) appears before the existential quantifier (∃x), indicating that for each problem, there is at least one solution that exists.
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Use compatible numbers to estimate
the quotient.
332 : 29
Click on the best estimate below.
A. 30
B. 11
C. 5
D. 7
what is the exact value of the expression? tan(π6) sin(5π3)⋅cos(−3π4)
The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.
We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.
We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.
Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.
Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.
Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.
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Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?
Answer:
The distance Conner walks each day is 10 miles
The distance Kevin walks each day is 7 miles
The distance John walks each day is 12 miles
Step-by-step explanation:
The question is a word problem
Let the number of miles Conner walks per day = x
The given inforf the totmation in the question are;
The distance Kevin walks per day = x - 3 miles
The distance John walks per day = x + 2 miles
In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks
The number of miles each person walks per day is found as follows;
3×(x + 2) - 3×(x - 3) = 3·x/2
3·x + 6 - 3·x - (-9) = 3·x/2
3·x + 6 - 3·x + 9 = 3·x/2
3·x - 3·x + 6 + 9 = 3·x/2
0 + 6 + 9 = 3·x/2
15 = 3·x/2
x = 15×2/3 = 10 miles
x = 10 miles
Therefore, the distance Conner walks each day = 10 miles
The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles
The distance Kevin walks per day = 7 miles
The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles
The distance John walks per day = 12 miles.
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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The product of two consecutive positive integers is 272. What is the sum of the two integers?
Answer:
the sum of two integers is 33
explanation:
the numbers are
you drop a ball off a 50 foot roof to see how long it will bounce. Each bounce loses 10% of the height of its previous bounce. after how many bounces will the ball's height be less than 1 foot?
After 37 bounces, the ball's height will be less than 1 foot.
How many bounces until it is less than 1 foot?The initial height of the ball is 50 feet.
After first bounce, the ball will reach a height of:
= 50 feet * (1 - 10%)
= 45 feet.
After second bounce, it will reach a height of:
= 45 feet * (1 - 10%)
= 40.5 feet.
Height decreases by 10% after each bounce.
We have to set up an equation:
50 feet * (0.9)^n < 1 foot
Simplifying:
0.9^n < 1/50
Taking the logarithm:
n * log(0.9) < log(1/50)
n > log(1/50) / log(0.9)
n > 37.1298771746
n > 37.13.
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Anyone can help please
Answer:
A x+6
Step-by-step explanation:
12+6=18
13+6=19
14+6=20
15+6=21
what is $\frac{0.\overline{72}}{0.\overline{27}}$? express your answer as a common fraction in lowest terms.
The value for $\frac{0.\overline{72}}{0.\overline{27}}$ as a common fraction in lowest terms is 2.666
To convert repeating decimals to fractions, we can use the following method:
Let's call the repeating decimal 0.72... = x, and the repeating decimal 0.27... = y.
Then 10x = 7.2... and 10y = 2.7...
Subtracting the original expressions from the above:
10x - x = 7.2... - 0.72...
=> 9x = 7
=> x = 7/9
And similarly,
10y - y = 2.7... - 0.27...
=> 9y = 2
=> y = 2/9
Therefore,
0.72... / 0.27... = x / y = (7/9) / (2/9) = 7/2 = 3.5
A repeating decimal is a decimal that has a repeating pattern of digits after the decimal point. To convert a repeating decimal to a fraction, we need to identify the repeating pattern and convert it to a fraction. This is done by multiplying both the numerator and denominator by a power of 10 that makes the repeating part an integer.
Then, the resulting fraction can be simplified to its lowest terms. In this case, the repeating decimals 0.72... and 0.27... can be converted to the fractions 7/9 and 2/9 respectively, and dividing the two results in a fraction of 7/2 can be simplified to 3.5.
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Please help 7th grade math
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
How to find the total surface area of cross section solid factors and how to use phytagoras theorem to determine unknown side then find total surface area
To find the total surface area of a cross-section solid, it is necessary to identify all the faces or surfaces of the solid, find the area of each individual face or surface, and then add them all together.
After finding the area of each individual face or surface, the final step is to add them all together to get the total surface area of the cross-section solid. This can be expressed mathematically as:
Total Surface Area = Area of Face 1 + Area of Face 2 + ... + Area of Face n
Where n represents the total number of faces or surfaces of the solid.
Pythagoras theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed mathematically as:
c² = a² + b²
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
By using Pythagoras theorem to find the length of an unknown side, it is then possible to use the appropriate formula to find the area of the face or surface and then add it to the total surface area of the cross-section solid.
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A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.
Answer:
\(\boxed{\sf \dfrac{14}{95}}\)
Explanation:
Black ribbons = 8 ribbons
Green ribbons = 12 ribbons
Total ribbons: 12 + 8 = 20 ribbons
\(\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}\)
For Lila:
\(\sf Lila \ picks \ black \ : \ \dfrac{8}{20}\)
Left black ribbons: 8 - 1 = 7 black ribbons
Left total ribbons: 20 -1 = 19 total ribbons
For Jessica:
\(\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}\)
Probability that they both pick black ribbons:
\(\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}\)
\(\sf \rightarrow \dfrac{14}{95}\)
Which situation shows a constant rate of change.
D because it is the only one that is unpredictable
pls help me tysmmm~
!!
Answer:
It is 6,4 or 4,6
Step-by-step explanation:
Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?
Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source
PLEASE HELP ME WITH THIS ONE
Answer:
b answer
Step-by-step explanation:
hope helpful
if wrong sorry
Use the FOIL method to check your answer from part A.
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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Despejar a la variable x de la siguiente ecuación.
x
−
2
y
=
−
10
Answer:
Para despejar la variable x de la ecuación x - 2y = -10, podemos seguir los siguientes pasos:
Sumar 2y a ambos lados de la ecuación para eliminar el término -2y en el lado izquierdo:
x - 2y + 2y = -10 + 2y
x = -10 + 2y
Por lo tanto, la variable x se puede despejar como x = -10 + 2y.