Answer:
2/7
Step-by-step explanation:
\(\frac{10}{35}\)÷\(\frac{5}{5} = \frac{2}{7}\)
The portland Beach Tourism Commission is interested in the mean amount of money a typical college student spends per day during spring break. The Commission surveyed 35 college students and found a mean spending of $63.57 with a standard deviation of $17.32. What level of confidence is associated with the interval $58.73 ≤≤ μμ ≤≤ $68.40?
Select one:
99%
90%
95%
98%
The correct option is (C) 95%.
The level of confidence associated with the interval $58.73 ≤ μ ≤ $68.40 is 95%.Explanation:The given interval represents the confidence interval of the population mean for the money that a typical college student spends per day during spring break.A confidence interval is defined as a range of values that is estimated to contain the true unknown value of a population parameter with a certain level of confidence.
Suppose the confidence level is C% and the margin of error is E, then the confidence interval can be calculated as: sample mean ± (critical value) × (standard error of the mean)Where the standard error of the mean is calculated as:standard error of the mean = standard deviation / sqrt(sample size)The sample size is 35, the sample mean is $63.57, the standard deviation is $17.32, the margin of error is ($68.40 - $63.57) / 2 = $2.915 and the critical value at 95% level of confidence with 34 degrees of freedom is 2.03.
Therefore, the confidence interval for the population mean is:$63.57 ± 2.03 × ($17.32 / sqrt(35))= $63.57 ± $5.99≈ [$57.58, $69.56]The interval [$58.73, $68.40] is contained within the confidence interval, which means that the level of confidence associated with it is at least 95%.Thus, the correct option is (C) 95%.
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use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 3 0 1 10 y5 dy, n
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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need help solving these please!
Answer:
kidding meee
Step-by-step explanation:
Doood you are kiding me
use the graph to determine wither the function is even, oddPlease check photo
EXPLANATION:
Given;
We are given a graph of a function.
Required;
We are required to determine from the graph if the function is even, odd or neither even nor odd.
Solution:
To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.
Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.
However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.
Therefore, the graph depicted is an odd function
ANSWER:
The function is an ODD function
A triangle has sides with lengths of 40 yards, 75 yards, and 85 yards. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)
40² + 75² = 85²
1600 + 5625 = or ≠ 7225
7225 = 7225
It is equivalent so it is correct.
If my answer is incorrect, pls correct me!
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-Chetan K
Andrea spins the arrow on the spinner one time.
What is the probability that the arrow will land on a part of the circle that has a star?
O A O
C.
OB. 1
OD. 1
My Answer for your question is
A. O
The sum of two integers is -4 and their difference is 2. Find the integers. 2. Kelly has 15 pet animals consisting of dogs and pigeons. there are 48 legs in all. how many of each kind are there? 3. Karel bought 5 burgers and 1 soda and paid php 97. Ken paid php 89 for 3 burgers and 2 sodas. how much did each burger and each soda cost?
The integers are -3 and -1.
There are 9 dogs and 6 pigeons.
Each burger costs php 17 and each soda costs php 19.
Let's assume the two integers are x and y. We have the following equations: x + y = -4 and x - y = 2. Solving these equations, we find that x = -3 and y = -1.
Let's assume the number of dogs is d and the number of pigeons is p. We have the following equations: d + p = 15 (total number of pets) and 4d + 2p = 48 (total number of legs). Solving these equations, we find that there are 9 dogs and 6 pigeons.
Let's assume the cost of each burger is b and the cost of each soda is s. We have the following equations: 5b + 1s = 97 (Kelly's purchase) and 3b + 2s = 89 (Ken's purchase). Solving these equations, we find that each burger costs php 17 and each soda costs php 19.
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which variables are basic and which variables are nonbasic in this tableau? what basic variables are associated with rows 1, 2, and 3 of this tableau? what are the values of all the variables associated with this basic feasible solution?
In this simplex tableau, x₄, x₅, and z are the basic variables, while x₁, x₂, x₃, x₆, x₇, and x₈ are the nonbasic variables. The values of all the variables associated with this basic feasible solution are x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, and z = 620.
In this tableau, the basic variables are x₄, x₅, and z, while the nonbasic variables are x₁, x₂, x₃, x₆, x₇, and x₈.
The basic variable associated with row 1 is x₄, the basic variable associated with row 2 is x₅, and the basic variable associated with row 3 is z.
The values of all the variables associated with this basic feasible solution are:
x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, z = 620.
Note that these values correspond to the entries in the tableau in the "BV" column.
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The missing tableau is in the image attached below
Which of the following is a correct description of an arithmetic sequence?
develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. assume that if the type of repair is electrical and if dave newton performed the service. enter negative value as negative number.
To develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service, we need to perform a multiple linear regression analysis.
The estimated regression equation can be represented as: Repair time = β0 + β1(Months since last maintenance) + β2(Type of repair) + β3(Repairperson)
where β0 is the intercept, β1 is the coefficient of months since last maintenance, β2 is the coefficient of type of repair, and β3 is the coefficient of repairperson.
To incorporate the assumption that if the type of repair is electrical and if Dave Newton performed the service, the repair time is lower, we can introduce an interaction term between the type of repair and the repairperson. The equation will then be:
Repair time = β0 + β1(Months since last maintenance) + β2(Type of repair) + β3(Repairperson) + β4(Type of repair × Repairperson)
The coefficients can be estimated using regression analysis techniques, and the resulting equation can be used to predict the repair time for a given set of values for the independent variables.
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Help. (4x + 7)°
51°
based on historical data, your manager believes that 26% of the company's orders come from first-time customers. a random sample of 155 orders will be used to estimate the proportion of first-time-customers. what is the probability that the sample proportion is greater than than 0.36?
The probability that the sample proportion is greater than than 0.36 is 0.9952
When comparing a hypothesised proportion to a predetermined theoretical proportion of the population, a one proportion Z-test is employed as a hypothesis testing approach.
The test is used to establish the significance of the discrepancy between the sample proportion (hypothesised) and population theoretical proportion.
The formula to determine Z-statistics for sample proportion is
Z = p - P / √pq/n
where , p is sample proportion
P is population proportion
n is sample size
According to the question,
It is given that
Percentage that manager believes that of the company's orders come from first-time customers = 26%
P = 0.26
Sample size : n = 155
Sample Proportion : p = 0.36
q = 1 - 0.36
=> q = 0.64
We have to find the probability that the sample proportion is greater than than 0.36
z-statistic = 0.36 - 0.26 / √ (0.36×0.64)/155
=> 0.10/0.0385
=> 2.59
P( z > 2.59 ) = 1 - P( z < 2.59)
=> 0.9952
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Define the product topology on X x Y. Denote this topology by T and show that Tx: (X x Y,T) → (X, T₁) (x,y) → x is continuous. Keeping the notation from (iii), let T be another topology on X x Y, such that TX: (X ×Y,7) → (X,T) (x, y) → x and Ty : (X × Y, Ť) → (X, T₂) (x, y) → y are continuous. Show that TCT.
TCT is equal to the product topology on X x Y. To define the product topology on X x Y, we consider the collection of subsets of X x Y that can be written as the union of sets of the form U x V, where U is an open set in X and V is an open set in Y. This collection forms a basis for the product topology on X x Y.
Denote the product topology on X x Y by T. To show that the projection map Tx: (X x Y, T) → (X, T₁) given by (x, y) → x is continuous, we need to show that the preimage of every open set in X under Tx is open in X x Y.
Let U be an open set in X. Then the preimage of U under Tx is given by Tx^(-1)(U) = {(x, y) in X x Y | Tx(x, y) in
U} = {(x, y) in X x Y | x in U}
= U x Y, which is an open set in X x Y in the product topology T.
Hence, the map Tx is continuous.
Now, let T be another topology on X x Y, such that Tx: (X x Y, T) → (X, T₁) and Ty: (X x Y, T) → (Y, T₂) are continuous. We want to show that TCT, i.e., the topology generated by the collection of sets of the form U x V, where U is open in X under T₁ and V is open in Y under T₂, is equal to T.
To prove this, we need to show that every set open in T is also open in TCT, and vice versa.
First, let A be an open set in T. Then A can be written as a union of sets of the form U x V, where U is open in X under T₁ and V is open in Y under T₂. Since U is open in X under T₁, its preimage under Tx is open in X x Y under T. Similarly, the preimage of V under Ty is open in X x Y under T. Thus, A = (U x V) ∩ (X x Y) is open in X x Y under T.
Therefore, every set open in T is open in TCT.
Conversely, let B be an open set in TCT. Then B can be expressed as a union of sets of the form U x V, where U is open in X under T₁ and V is open in Y under T₂. Since U is open in X under T₁, its preimage under Tx is open in X x Y under T. Similarly, the preimage of V under Ty is open in X x Y under T. Hence, B = (U x V) ∩ (X x Y) is open in X x Y under T.
Therefore, every set open in TCT is open in T. Since the open sets in T and TCT are the same, we can conclude that T = TCT. Hence, we have shown that TCT is equal to the product topology on X x Y.
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37 POINTSSS!!!!! Plzzz help
Write a quadratic function whose graph has a vertex of (3, 2) and passes through the point (4,7).
Answer:
y = 5(x -3)2* +2
Step-by-step explanation:
Trust me bro I did it before
Suppose that A is a subset of the reals. Select one: a. A is countably infinite b. A is uncountable O c. A is finite d. Can't tell how big A is. Clear my choice
a. A is countably infinite.
Is A a countably infinite set?Countably Infinite Sets: A set is countably infinite if its elements can be put in a one-to-one correspondence with the natural numbers (1, 2, 3, ...).
Examples of countably infinite sets include the set of all integers, the set of all positive even numbers, and the set of all fractions.
Uncountable Sets: An uncountable set is one that has a larger cardinality than the natural numbers.
It cannot be put in a one-to-one correspondence with the natural numbers.
The most well-known uncountable set is the set of real numbers (denoted by ℝ), which includes both rational and irrational numbers.
So option a. A is countably infinite is correct.
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The correct option is d. Can't tell how big A is.
Is it possible to determine the size of set A?Based on the information provided, it is not possible to determine the size of set A. The given question presents us with a subset of the real numbers without specifying any additional characteristics or constraints.
Without further details or conditions, it is impossible to definitively classify set A as countably infinite, uncountable, or finite.
To determine the size of a set, we typically need more information such as the cardinality of the set or specific properties that can help us make a classification.
However, in this case, the given question does not provide us with any such information, making it impossible to determine the size of set A.
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Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
Why do we use p hat in statistics?
In statistics, p hat is used as an estimator of the population proportion (p) of a categorical variable. It is the sample proportion of the variable, which is calculated as the number of occurrences of a particular category in the sample divided by the total sample size.
The reason why p hat is used is that it provides an estimate of the unknown population proportion based on a representative sample. By using p hat, we can draw inferences about the population proportion with a certain level of confidence. This is important in hypothesis testing and confidence interval estimation, where we want to make statements about the population based on the information gathered from a sample.
Using p hat as an estimator of p is also beneficial because it has desirable statistical properties, such as being an unbiased estimator, having a sampling distribution that approaches normality, and having a known standard error.
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If r = 7 units and x = 4 units, then what is the volume of the cylinder shown above?
To determine the volume of a cylinder, use the formula πr² x h where,
π - Pi (3.14 is the value)R - RadiusH - HeightGiven:
r (Radius) = 7 unitsx (Height) = 4 unitsWe can substitute the given values to the formula:
V = πr²hV = (3.14)(7²)(4)V = (3.14)(49)(4)V = (3.14)(196)V = 615.44Answer:
The volume of the cylinder is 615.44 units.Wxndy~~
a company has a customer retention rate of 60% per year. it is testing a new customer experience plan. what is the minimum number of customers that need to be included in the test to determine if the new plan has more than a 5 percentage point effect on customer retention, with 90% confidence? use the normal approximation
If the new customer experience plan has more than a 5% point effect on client retention, with 90% confidence, at least 378 customers need to be included in the test.
customer retention rate = 60% per year
confidence = 90
To calculate the minimum number of customers that need to be included in the test, the formula for the sample size is:
n = (zα/2 + zβ)² (p1(1-p1) + p2(1-p2)) / (p1-p2)²
The z-score fat 90% of confidence = 1.645
The z-score for the desired power (1-β) = 1.282 for a power of 80%
p1 = 60%
p2 = 0.6 + 0.05 = 0.65
n = (1.645 + 1.282)² [(0.6)(1-0.6) + (0.65)(1-0.65)] / (0.65-0.6)²
n = 377.38
Therefore we can conclude that the minimum sample size of 378 customers.
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Write an equation in slope intercept form for the graph below
Answer:
\( y = 10x \)
Step-by-step explanation:
Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10 \)
y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.
Substitute m = 10 and b = 0 in \( y = mx + b \)
The equation in slope-intercept form for the graph would be:
✅\( y = 1x + 0 \)
\( y = 10x \)
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
Plzzzzz give me Brainliest!!!!!
A+B=C? I don't get the formula...
Answer:
Read this for more help!
Step-by-step explanation:
That is okay if you do not understand the formula. We all have troubles with math in one spot or in another. With the a²+b²=c², we would have to go really slowly. Just for you!
Let´s do an example. Say we have a triangle, and for this we need to know our square roots! Say we have this triangle, and it has both a 3 and a 4 on its sides. Now a triangle had 3 sides. 2 sides are smaller, and then it would have a larger side, which is called the hypotenuse! That is the side we would need to figure out, because the hypotenuse is the largest side of the triangle, and we only have the smaller sides(3 and 4).
So we need to work with the formula.
So let us plug the example into the formula.
There is no specific order to how we would be putting the sides in. 3 could be b or it could be a. Same goes for the 4. It really does not matter because you would be getting the same answer no matter what.
a²+b²=c²
3²+4²=c²
3²=9
4²=16
We need to add the two of those numbers, both 9 and 16 and we get 25. That is c². But we need c, because the hypotenuse is only c. So we need to take the square root of 25. And we get 5!
I will show you the equation again with 3 and 4 reversed.
4²+3²=c²
4²=16
3²=9
Like what we did above, we would get 25. And then take the square root! Same answer, so it really doesn't matter!
If you still do not understand this topic, you can always ask someone else who does, or go on khan academy, or search for more topics like this on BRAINLY! I hope this helped!
i really need help with this
A central angle measuring 90° Intercepts an arc in a circle whose radlus is 8.
What Is length of the arc of the circle formed by this central angle? Round the length of the arc to the nearest hundredth
of unit.
length of the arc of the circle formed by this central angle is 12.56 units.
What is arc length?The formula for calculating arc length is used to determine the length of the arc's curved line (a segment of a circle). The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc. Arc stability, weld current, and part concentricity are all factors that affect arc length. Arc stability, weld current, and part concentricity are all factors that affect arc length. The commercial welder's job in this situation is to maintain the electrode at a specific distance from the surface so that there is adequate room to prevent stubbing out.
Since, the length of an arc on a circle is:
l = r × θ
Where, r is the radius of the circle and is the central angle ( in radian ) made by the arc,
Here,
r = 8 unit,
θ = 90° = 90 × (π/180) = π/2
( π radian = 180°)
Hence, the length of the given arc is,
l = 8 × (π/2)
l = 4π
l = 12.56 units
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5. The volume of a cube is 125 cubic centimeters. How many centimeters long iseach edge of the cube?5 centimeters11 centimeters15 centimeters42 centimeters
Answer: 5 cm
Step-by-step explanation:
A cube means all sides have an equal length. therefore you need to find what number times itself 3 times will equal 125
to do this you can also do the cube root(∛) of 125 which will give you 5 cm
to verify your answer, simply do 5 x 5 x 5 which is 125
What is the value of x?
Х
24
7
can someone explain how i can do the math for these problems? i want the answer but i also want to understand what to do.
Answer:
25
Explanation:
By Using Pythagoras Theorem,
h^2=p^2+b^2
or, x^2=(24)^2+7^2
or, x^2=576+49
or, x^2=625
or, x=√625
•°• x=25
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.
Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
ASAP PLEASE
Show how we can use compensation to find the value of 8.2 x 19
Write it Step by step.
Value of the given expression 8.2 x 19 using compensation method is equal to 155.8.
As given in the question,
Given expression is equal to :
8.2 x 19
Apply compensation method to make the calculation easily and get the value of the given expression we have,
8.2 x 19
Rewrite 19 as ( 20 -1 ) we get,
= 8.2 × ( 20 - 1 )
Apply distributive law multiplication over subtraction we get,
= ( 8.2 × 20 ) - ( 8.2 × 1 )
= 164.0 - 8.2
= 155.8
Therefore, value of the given expression 8.2 x 19 using compensation method is equal to 155.8.
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1. connie multiplies a number by 2 and gets 60 as her answer. however, she should have divided the number by 2 to get the correct answer. what is the correct answer?
The correct answer is 15.
Given:
connie multiplies a number by 2 and gets 60 as her answer
let x is the number
then, 2x=60
or x=30.
since , she should have divided the number by 2 to get the correct answer
According to the question,
Dividing the number by 2
Therefore , correct answer = 30/2 = 15
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