A taxi ride cost a flat fee of of $4.00 plus an additional $1.25 per mile. How many miles would a person travel if they paid $19.00?​

Answer:

A

Step-by-step explanation:

6x° and 54° form the angle of 90° , that is

6x + 54 = 90 ( subtract 54 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

then

6x = 6 × 6 = 36°

Ce clasă ești sa văd daca te pot ajuta

In statistics, a confidence interval is a range of values surrounding a measurement that is calculated using statistical methods and is intended to provide a measure of how confident one can be in the accuracy of the estimated value.

A confidence interval can be used to quantify the amount of uncertainty inherent in a statistical estimate.

The term "confidence interval" is used in statistical analysis to refer to a range of values that is thought to include the true value of a given parameter with a specified level of confidence.In general, a confidence interval is an estimate of the interval that is likely to include the true value of the population parameter with a specified level of confidence.

It is a collection of individuals or objects that share common characteristics that are relevant to the study at hand.In general, a population can be any group of people, animals, plants, or other entities that are of interest to a researcher.

In statistics, the term "population" usually refers to the total set of objects or measurements that a statistical inquiry is concerned with.

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When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

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Check the picture below.

so, let's notice the angle made by the hand from 2pm to 4:45pm, well, it goes around twice, 2 revolutiions, then it goes 270° more after that, and we know the "radius" is 10.5"

\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =\stackrel{360+360+270}{990~\hfill }\\ r=10.5 \end{cases}\implies s=\cfrac{(990)\pi (10.5)}{180} \\\\\\ s=\cfrac{231\pi }{4}\implies s\approx 181.43~in\)

The function g(x)= x^ square root of 1+x is neither an even function nor an odd function

The function is given as

g(x)= x^ square root of 1+x

Rewrite the above function equation properly

So, we have

g(x) = x^(√x+1)

Calculate g(-x)

So, we have

g(-x) = -x^(√-x+1)

Evaluate

g(-x) = -x^(√-x+1)

Calculate -g(x)

So, we have

-g(x) = -x^(√x+1)

In the above computations;

g(x) does not equal g(-x) and -g(x)

Hence, the function g(x)= x^ square root of 1+x is neither an even function nor an odd function

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Its No because they dont fall on the same line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Log Rules

Givens

1/2 log (x)

log (x)^(1/2)

2 log(2y)

log(2y)^2

log(2^2y^2)

log(4y^2)

3 log(z)

log(z^3)

Solution

log(x)^(1/2) * log(z^3) / log(4 y^2)

Answer: log(x^1/2)*(z^3)/(4y^2)

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:70-40=6(x)

'x' is the number of questions that must be answered

Step-by-step explanation:

Answer:

i) 104 °F

ii) 343 °K

Step-by-step explanation:

We have the relationship between temperature in degrees Fahrenheit(y) and degrees Kelvin(x) as:

\(y\:=\:\dfrac{9}{5}\left(x-273\right)+32\)

i) When temperature in Kelvin is 313°K, the equivalent temperature in °F is:
\(\begin{aligned}y &= \dfrac{9}{5}(313-273) + 32\\& = \dfrac{9}{5}(40) + 32\\&= 9 \cdot 8 + 32\\\\&= 72 + 32\\\\& = 104^\circ F\end{aligned}\\\)

So at 313°K, the equivalent temperature is 104°F

\(====================================\)

ii) We are given the temperature in degrees Fahrenheit and asked to find the temperature in degrees Kelvin

We have the equation for temperature conversion from °K to °F  as:
\(y\:=\:\dfrac{9}{5}\left(x-273\right)+32\)

Let's manipulate this equation so that x is given in terms of y

Here x = degrees Kelvin and y = degrees Fahrenheit

Given y = 158°F, just plug in this value into the equation for x giving
\(\begin{aligned}x &= \dfrac{5}{9}(158 - 32) + 273\\& = \dfrac{5}{9}(126) + 273\\&= 70 + 273\\&= 343\end{aligned}\)

Therefore temperature in °K for temperature 158°F = 342 °K

Answer:

-12

Step-by-step explanation:

(-5)-(7) can easily be called -5-7 when all the brackets are taken away

-5-7= -12

Answer:

You can use the additive inverse to solve for x

Step-by-step explanation:

The additive inverse acquits you to change two things: the negative sign and -7

Therefore, after implementing the additive inverse, here's your expression: -5 + -7. Remeber, the rule for adding negative rational numbers: the sum of 2 negative numbers will be negative. Therefore, simply add 7 + 5 to get 12. Remebering out rule of adding negative rational numbers, you should receive -12 as your answer.

Relative frequency that there were exactly 3 customers in line is 2.33

In the given table

The total frequency = 5+3+9+7+4+2

                                 = 30

The frequency of occurrence of an event is measured using frequency. Relative frequency, on the other hand, is a method of calculating how frequently a specific event occurs in comparison to overall occurrences.

The relative frequency formula is as follows:

relative frequency = f/n,

where 'f' represents the frequency of a certain group and 'n' represents the total frequency.

For relative frequency that there were exactly 3 customers in line;

f = 7  and n = 3

Therefore,

Relative frequency = 7/3

                               =  2.33

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Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( \(\dfrac{1}{\sqrt{2}}\) )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

\( k = \dfrac{5}{3} \)

Step-by-step explanation:

It is actually a one-step equation.

If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.

Here we have

\( \dfrac{3}{2} = \dfrac{9}{10}k \)

First, switch sides to have the variable, k, on the left side.

\( \dfrac{9}{10}k = \dfrac{3}{2} \)

You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.

\( \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} \)

On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.

On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.

\( k = \dfrac{30}{18} \)

\( k = \dfrac{5}{3} \)

if the samples are all the same size, then each sample contains 13 individuals. The answer is (a) 9 is incorrect, (b) it is possible for the samples to be the same size if df is 32, (c) 11 is incorrect, and (d) 10 is incorrect.

The total degrees of freedom (dftotal) for an analysis of variance with three treatment conditions can be expressed as dftotal = dfbetween + dfwithin, where dfbetween is the degrees of freedom associated with the differences between the treatment means and dfwithin is the degrees of freedom associated with the variability within each treatment condition.

If the three treatment conditions have the same sample size, then dfwithin is equal to the total sample size minus the number of treatment conditions. Let's call the sample size n. Then we have:

dftotal = dfbetween + dfwithin

32 = (3-1) + 3(n-3)

32 = 2 + 3n - 9

39 = 3n

n = 13

Therefore, if the samples are all the same size, then each sample contains 13 individuals. The answer is (a) 9 is incorrect, (b) it is possible for the samples to be the same size if df is 32, (c) 11 is incorrect, and (d) 10 is incorrect.

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The value of the ratio a:b is 2:1

Surds are values of a square roots that cannot be simplified as whole numbers or integers. They are usually called irrational numbers.

Example of some surds are the square root of prime numbers.

Analysis:

a + b\(\sqrt{3}\) = \(\frac{1}{2 - \sqrt{3} }\)

Rationalizing the right hand side by the conjugate surd which is 2 + \(\sqrt{3}\)

\(\frac{1}{2 - \sqrt{3} }\)  x \(\frac{2 + \sqrt{3} }{2 +\sqrt{3} }\) = \(\frac{2 + \sqrt{3} }{4 -2\sqrt{3} +2\sqrt{3} -3}\) = \(\frac{2 + \sqrt{3} }{1}\) = 2 + \(\sqrt{3}\)

Equating,

a + b\(\sqrt{3}\) = 2 + \(\sqrt{3}\)

Comparing the variables,

a = 2,   b\(\sqrt{3}\) = \(\sqrt{3}\), b = 1

The ratio, a: b = 2:1

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The system that is represented by the graph is inequality 3

What is system of inequalities?

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.

We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph

Now As you  can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.

So second and third options are the options which satisfies this criteria

if we put x = 0 in the second equation of both the inequalities we get y= 4

This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3

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Answer:y ≥ x2 – 2x + 4

y < –x2 + 4

Step-by-step explanation:

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Answer:

di marunong mali mali sagot mo

Answer:

C

Step-by-step explanation:

PLATO

So, sin E=0.5. Therefore, option C is the correct answer.

Given that, AB║DE and sinA= 0.5.

We need to find the value of sin E.

The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.

Now, sinA = 0.5

⇒∠A=30°

∠A=∠E=30° (∵∠A and ∠E are alternate angles)

Therefore, option C is the correct answer.

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32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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The percent of the jerseys :

6 : 800 = 0,75%

A confidence interval with a 99% confidence level for true average lifetime is (992.35, 1390.85).

In the given question we have to calculate a confidence interval with a 99% confidence level for true average lifetime.

From the given question;

Sample n = 43

Sample Mean x = 1191.6

Standard Deviation s=506.6

A confidence interval with a 99%(0.99) confidence level for true average lifetime.

CI = x± \(z_{\alpha /2}\cdot\frac{s}{\sqrt n}\)

Now finding the value of \(z_{\alpha /2}\)

α=1-0.99

α=0.01

α/2=0.005

\(z_{\alpha /2}=z_{0.005}\)

From the standard table of z

\(z_{\alpha /2}\) = 2.58

Now putting the value in the formula

CI = 1191.6±2.58* 506.6/√43

CI = 1191.6±2.58* 506.6/6.56

CI = 1191.6±2.58* 77.23

CI = 1191.6±199.25

CI = {(1191.6-199.25), (1191.6+199.25)}

CI = (992.35, 1390.85)

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Answer:

xxyyzz

Step-by-step explanation:

(xyz)²=x²y²z²= x*x*y*y*z*z

Answer:

\(xxyyzz\)

Step-by-step explanation:

\((xyz)^{2}\)

\(= x^{2} y^{2} z^{2}\)

\(= xxyyzz\)

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In table 9.1, the marginal cost of producing the seventh unit of output is equal to $8.
Marginal cost refers to the additional cost incurred when producing one more unit of output. To find the marginal cost of producing the seventh unit of output, follow these steps:

1. Locate the total cost column in table 9.1.
2. Identify the total cost of producing 6 units of output.
3. Identify the total cost of producing 7 units of output.
4. Subtract the total cost of producing 6 units from the total cost of producing 7 units.

The difference you get from step 4 is the marginal cost of producing the seventh unit of output.

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