A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 0 to 5 minutes. If it takes the elevator 30 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 1.25 minutes after pushing the elevator button on the second floor.

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).

For the given recurrence relation, T(n) - 9T(n/9)+N(IgN), we have to find the time complexity using the master theorem, which is given below:

Master Theorem:

Consider a recurrence relation T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1 and f(n) is an asymptotically positive function. Then, we have the following cases:

Case 1: If f(n) = O(nᵏ) for some constant k < logb(a), then T(n) = Θ(nlogb(a)).

Case 2: If f(n) = Θ(nᵏlogm(n)) for some constant k = logb(a), then T(n) = Θ(nᵏlog(m+1)n).

Case 3: If f(n) = Ω(nᵏ) for some constant k > logb(a), and if a.f(n/b) ≤ cf(n) for some constant c < 1 and sufficiently large n, then T(n) = Θ(f(n)).

In the given recurrence relation, we have a = 9, b = 9 and f(n) = n * log n.

Comparing a with bᵏ, we get a = bᵏ.

∴ k = 1

Taking log with base 9 on both sides, we get:

log₉T(n) = log₉(9T(n/9) + n * log n)log₉T(n) = log₉9 + log₉T(n/9) + log₉n * log₉log(n)log₉

T(n) = 1 + log₉T(n/9) + log₉n * log₉log(n)For f(n) = n * log(n), nᵏ = n¹, so k = 1 > 0.

Therefore, according to master's theorem, T(n) = Θ(n * log n).

Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).

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\(\left \{ {(3x-4)/2=1} \atop {(-2-5y)/2=4}} \right.\)

x = 2

y = -2

x - y = 2 - (-2) = 4

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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Answer:

3( 6x-7)

Step-by-step explanation:

18 x − 21

Factor a 3 out of each term

3*6x - 3*7

3( 6x-7)

Answer:

Factor 18x−21

18x−21

=3(6x−7)

Answer:

3(6x−7)

Step-by-step explanation:

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

Given:

The given function is:

\(f(x)=\sqrt{x-7}\)

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

\(f(x)=\sqrt{x-7}\)

We know that the square root is defined for non negative values. So,

\(x-7\geq 0\)

\(x\geq 0+7\)

\(x\geq 7\)

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, \(x=8\) is in the domain of the given function.

Therefore, the correct option is A.

Answer:

The desired product is (x + 2)(x + 4).

Step-by-step explanation:

If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.  

The desired product is (x + 2)(x + 4).

Expression for the Area of a circle is A = πr²

Hence the radius of the circle is given by r = 7x³y⁴

hence the area of the given circle = πr²

                                                        = π(7x³y⁴) ²

                                                        = π(49x⁶y⁸)

                                                        = 49πx⁶y⁸

Therefore, the area of the given circle is 49πx⁶y⁸.

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Answer: quick math boi

Step-by-step explanation: photo maths

Step-by-step explanation:

Sine

Answer:

The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Step-by-step explanation:

The data provided is:

                                                   Opinion    

Front Footage   For       Undecided Against    Total

Under 45 feet    12                4              4              20

  45-120 feet           35                5             30      70

Over 120 feet     3                2              5              10

       Total           50                11             39    100

The formula to compute the expected frequency is:

\(E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}\)

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:

\(E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}\)

\(E(5)=\frac{10\times 39}{100}=\frac{39}{10}=3.9\)

Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Answer:

dont get it

Step-by-step explanation:

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The equation of straight line of the points is given as y = -x - 2

To solve this problem, we simply need to find the equation of straight line which can be done by finding the slope of the line and then intercept of the line.

In the given points;

The formula of slope of a line is given as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the values into the equation;

\(m = \frac{3 - (-6)}{-5 - 4} \\m = \frac{9}{-9} \\m = -1\)

The slope of the line is equal to 1.

Let's find the intercept of the line

\(y = mx + c\)

Taking point A;

\(y = mx + c\\-6 = -1(4) + c\\-6 = -4 + c\\c = -2\)

The equation of the line is y = -x - 2

Translation: Find the equation of a straight line from two point A(4, -6) and B(-5, 3).

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Answer:

the answers is 6x 10 4

Step-by-step explanation:

The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

We have been given an expression as

6 x 10 x 10 x 10 x 10

Here we can see the base 10 multiplied by itself 4 times.

Exponentiation(the process of raising some number to some power) have some basic rules as:

\(a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )\)

The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).

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Answer:

O $225.00

Step-by-step explanation:

Given that

The one of the flight was 350 miles

And, its residual is 105

The regression line is y = 102.50 + 0.65x

where

y denotes the expected fare

And, x denotes the distance

We need to find out the fair of the flight

So,

y = 102.50 + 0.65 (350)

= 330.00

Now the fare is

= 330 - 105

= 225

Answer:

(C) 225 Is correct.

Predicted cost - residual = answer

y= 102.50 + .65(35)

330 - 105 = 225

255

ED2021

Answer:

B

Step-by-step explanation:

f=120p

f=120(16)

f= 1920

Answer:

m= 4/5

Step-by-step explanation:

Answer:

Using the point slope form: y−y1=m(x−x1)

Step-by-step explanation:

Plug in the point's   x & y values into x1,y1y−  −2=5(x−5)

Simplify and distribute:

y+2=5x - 25

y=5x-25-2

y=5x-27

Answer:

14,837.98

Step-by-step explanation:

i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)

Answer:

Distribute

8

−

4

=

2

(

4

−

4

)

8x-4={\color{#c92786}{2(4x-4)}}

8x−4=2(4x−4)

8

−

4

=

8

−

8

8x-4={\color{#c92786}{8x-8}}

8x−4=8x−8

2

Add

4

4

4

to both sides of the equation

8

−

4

=

8

−

8

8x-4=8x-8

8x−4=8x−8

8

−

4

+

4

=

8

−

8

+

4

8x-4+{\color{#c92786}{4}}=8x-8+{\color{#c92786}{4}}

8x−4+4=8x−8+4

3

Simplify

Add the numbers

Add the numbers

8

=

8

−

4

8x=8x-4

8x=8x−4

2 more steps

Result

0

=

−

4

0=-4

0=−4

The input is a contradiction: it has no solutions

Answer:true,true,false, true,false false

Step-by-step explanation:

Answer:

As shown in the attachment,

Step-by-step explanation:

To expand the expression `ln(x^2 sqrt(y/z))` as a sum, difference, and/or constant multiple of logarithms, we use the following logarithmic properties: log(ab) = log a + log blog(a/b) = log a - log blog aⁿ = n log a. The expression `ln(x^2 sqrt(y/z))` can be written as: ln(x^2 sqrt(y/z)) = ln(x^2) + ln(sqrt(y/z))

Now, `sqrt(y/z)` can be written as:

`y^(1/2)z^(-1/2)`.

Therefore,

ln(x^2 sqrt(y/z)) = ln(x^2) + ln(y^(1/2)z^(-1/2))

Next, we can use the power rule of logarithms to get:

ln(x^2 sqrt(y/z)) = ln(x^2) + (1/2)ln(y) - (1/2)ln(z)

The given expression can be expanded as the sum, difference, and/or constant multiple of logarithms using logarithmic properties. Let's expand the expression `ln(x^2 sqrt(y/z))` as a sum, difference, and/or constant multiple of logarithms using logarithmic properties.The logarithmic property states that the logarithm of a product of two numbers is the sum of the logarithms of individual numbers. Using this property, we can write:

`ln(x^2 sqrt(y/z))`

as a sum of two logarithms, i.e., `

ln(x^2) + ln(sqrt(y/z))`.

The next step is to simplify the second logarithm. The square root can be written as a fraction, i.e., `

sqrt(y/z) = y^(1/2)z^(-1/2)`.

Applying the logarithmic property again, we get:

`ln(x^2) + ln(y^(1/2)z^(-1/2))`.

Now, using the power rule of logarithms,

`ln(x^2) + ln(y^(1/2)z^(-1/2)) = 2ln(x) + (1/2)ln(y) - (1/2)ln(z)`.

Therefore, the expression `ln(x^2 sqrt(y/z))` expanded as a sum, difference, and/or constant multiple of logarithms is `2ln(x) + (1/2)ln(y) - (1/2)ln(z)`.

Thus, the given expression `ln(x^2 sqrt(y/z))` can be expanded as the sum, difference, and/or constant multiple of logarithms using logarithmic properties.

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Ratio - Number of 28 sandals were sold

What is Ratio ?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given,

Ratio of shoes to sandals sold = 10 : 7

The number of shoes sold  = 40

Let,

The number of shoes sold be = 10x

The number of sandals sold be = 7x

Since, we know the number of shoes we can equate them

Thus,

        10x = 40

            x = 40 / 10

            x = 4

Now, from the value of x we can find out the number of sandals

The number of sandals sold be = 7x

                                                    = 7 x 4

                                                    = 28

Hence, 28 sandals were sold

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Answer:

it should be this

Step-by-step explanation:

y= 1/3 and then -4

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

From the given information provided, out of all coins Andrew collected 44 coins that were not foreign.

If 84% of the coins Andrew collected were foreign, then the remaining 16% must be coins that are not foreign.

Let x be the number of coins Andrew collected that are not foreign.

We can set up an equation based on the information given:

x + 0.84(275) = 275

This equation represents the total number of coins Andrew collected, which is equal to 275.

Simplifying the equation, we get:

x + 231 = 275

Subtracting 231 from both sides, we get:

x = 44

Question - Andrew collects coins. He collected a total of 275 coins. If 84% of the coins he collected were foreign, how many other coins did he collect? Andrew collected coins that were not foreign​

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