Someone PLS HELP
Lisa takes a 3,065 mile long trip. She has already traveled 104 miles. She has 7 days left in her trip. How many miles does she need to travel each day to complete the trip?
A.
423
B.
2,961
C.
527
D.
2,538

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

Learn more about Statistics here:

brainly.com/question/15980493

#SPJ4

Using Stokes' Theorem, we find that the surface integral ∬S curl F · dS evaluates to 437.4. To evaluate the surface integral ∬S curl F · dS using Stokes' Theorem, we first calculate the curl of the vector field F.

1. Given F(x, y, z) = arctan(x^2yz^2)i + x^2yj + x^2z^2k and the surface S defined as the cone x = y^2 + z^2 with 0 ≤ x ≤ 3, oriented in the direction of the positive x-axis, we can apply Stokes' Theorem to convert the surface integral into a line integral around the boundary curve of S. By parameterizing the boundary curve, we can then evaluate the line integral to find the desired result.

2. The first step is to calculate the curl of F. Taking the curl of F, we get curl F = (∂Q/∂y - ∂P/∂z)i + (∂R/∂z - ∂P/∂x)j + (∂P/∂y - ∂Q/∂x)k. In this case, P = arctan(x^2yz^2), Q = x^2y, and R = x^2z^2. Differentiating these components with respect to x, y, and z, we can find the respective partial derivatives required to compute the curl.

3. Next, we apply Stokes' Theorem, which states that the surface integral of the curl of a vector field over a surface S is equal to the line integral of the vector field over the boundary curve C of S. In this case, the boundary curve C is the intersection of the cone x = y^2 + z^2 with the plane x = 3.

4. To parameterize the boundary curve C, we can express it as a vector-valued function r(t) = 3ti + t^2j + t^2k, where t ranges from 0 to 3. Substituting this into F, we obtain F(r(t)) = arctan(9t^4)ti + 9t^4j + 9t^4k.

5. Now, we evaluate the line integral of F along the boundary curve C. Integrating F(r(t)) · r'(t) with respect to t, we get ∫C F · dr = ∫[0,3] (9t^4) dt.

6. Finally, we calculate the line integral ∫[0,3] (9t^4) dt, which evaluates to (9/5)t^5 evaluated from 0 to 3. Simplifying, we find that the line integral is (9/5)(3^5) - (9/5)(0^5) = (9/5)(243) = 437.4. Therefore, using Stokes' Theorem, we find that the surface integral ∬S curl F · dS evaluates to 437.4.

Learn more about curl here: brainly.com/question/28565094

#SPJ11

The magnitude and direction of the acceleration as the ball goes up is a negative value (opposite direction of motion), while the magnitude and direction of the acceleration as the ball goes down is a positive value (same direction as motion).

When the ball goes up, its initial velocity decreases due to the opposing force of gravity. The acceleration experienced by the ball is directed downwards, opposing the ball's upward motion. The magnitude of the acceleration can be determined using the kinematic equation:

[ v^2 = u² + 2as \]

where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration, and \( s \) is the displacement. Since the ball is moving upward, the final velocity (\( v \)) will be zero at the highest point. Therefore, we can rewrite the equation as:

[ 0 = u² - 2as \]

Solving for acceleration (\( a \)), we get:

[ a = \frac{{u²}}{{2s}} \]

Substituting the given values (initial position = 6.3 m, initial velocity = 1.0 m/s), we can calculate the magnitude of the acceleration.

[ a = \frac{{(1.0 \, \text{m/s})^2}}{{2 \cdot 6.3 \, \text{m}}} \]

[ a \approx 0.0794 \, \text{m/s}² \]

The negative sign indicates that the acceleration is in the opposite direction of motion, which is downward.

Learn more about: acceleration

brainly.com/question/2303856

#SPJ11

If we had a polynomial-time algorithm for computing the length of the shortest TSP tour, then we would also have a polynomial-time algorithm for finding the shortest TSP tour by using the following approach: Generate all possible tours, For each tour, compute its length, The shortest tour is the one with the minimum length.

The first step, generating all possible tours, can be done in polynomial time. This is because the number of possible tours is a polynomial function of the number of cities.

The second step, computing the length of each tour, can also be done in polynomial time. This is because the length of a tour is a polynomial function of the distances between the cities.

Therefore, the overall algorithm for finding the shortest TSP tour is polynomial-time.

Visit here to learn more about polynomial function:

brainly.com/question/29047085

#SPJ11

Answer:

x = 14

Step-by-step explanation:

Since it's a parallelogram that means x+3= 17.

Subtract 17 by 3 to get x alone that will give you x = 14

Answer:

x = 14

Step-by-step explanation:

This quadrilateral is a parallelogram. Due to this, opposite sides are congruent. One side is 17, that means the opposite side is 17. We can write this as the equation

x + 3 = 17.

If we subtract 3 from both sides, we isolate the variable x.

x = 14.

Therefore, x = 14

The probability of having a travel credit card is 0.5 is about 66.76 million lira or 33,380 euros.

(a) The estimated model equation is:

log(p/1-p) = -3.5561 + 0.0532*income

where p is the probability of having a travel credit card.

(b) The sign of ß (0.0532) is positive, which means that there is a positive relationship between income and the probability of having a travel credit card. As income increases, the probability of having a travel credit card also increases.

(c) To find the income level at which the probability of having a travel credit card is 0.5, we can set p = 0.5 in the model equation and solve for income:

log(0.5/1-0.5) = -3.5561 + 0.0532*income

0 = -3.5561 + 0.0532*income

income = 3.5561/0.0532

income = 66.76

Therefore, according to the estimated model equation, the income level at which the probability of having a travel credit card is 0.5 is about 66.76 million lira or 33,380 euros.
(a) The estimated model equation is given by:

log(p / (1 - p)) = -3.5561 + 0.0532 * Income

where p is the probability of having a travel credit card and Income is the annual income in millions of lira.

(b) The sign of ß (the coefficient of Income) is positive, which indicates that as the annual income increases, the probability of having a travel credit card also increases.

(c) To find the income level where the probability is 0.5, we need to solve the equation:

log(0.5 / (1 - 0.5)) = -3.5561 + 0.0532 * Income

0 = -3.5561 + 0.0532 * Income

Income = 3.5561 / 0.0532 ≈ 66.86 million lira

So, the probability of having a travel credit card is 0.5 when the annual income is approximately 66.86 million lira.

To know more about the probability. Click on the link.

https://brainly.com/question/31485051

#SPJ11

Answer:

$21.75

Step-by-step explanation:

Divide $7.25 by 4 then multiply what you get from that by 12

The equation log(8x+2) = 3 can be rewritten in exponential form as 10^3 = 8x+2. Simplifying, we get:

1000 = 8x + 2

998 = 8x

x = 124.75

Therefore, the solution to the equation is x = 124.75, which is an approximation to 3-decimal places.

To verify the solution, we can substitute x = 124.75 back into the original equation and check if both sides are equal:

log(8(124.75) + 2) = log(1000)

log(1000) = 3

Since both sides are equal, we can conclude that x = 124.75 is indeed the solution to the equation.

Note that it is important to check the solution obtained from solving the equation as sometimes the solution may not be valid due to the domain of the function involved in the equation.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

The butterfly should move in the direction of the vector (1/√11) < 1,3,1 > to achieve maximum rate of change of temperature. The function that represents temperature is T(x,y,z) = xy³z, and the butterfly is located at the point (l,l,l).a) To find the rate of change of the temperature, we need to compute the gradient vector of T(x,y,z) at the point (l,l,l). The gradient of T(x,y,z) is defined as ∇T(x,y,z) = (∂T/∂x)i + (∂T/∂y)j + (∂T/∂z)k. Hence,∇T(x,y,z) = (y³z)i + (3xy²z)j + (xy³)kAt the point (l,l,l), we have ∇T(l,l,l) = (l³)i + (3l²)j + (l³)k

The rate of change of the temperature in the direction of the vector < 2,1,2 > is given by the dot product of the gradient vector and the unit vector in the direction of < 2,1,2 >.Thus, Rate of change of T(l,l,l) in the direction of < 2,1,2 > = ∇T(l,l,l) · (2/3i + 1/3j + 2/3k)= (l³)(2/3) + (3l²)(1/3) + (l³)(2/3)= (2l³ + 3l²)/3 + (2l³)/3= (4l³ + 3l²)/3b) To find the direction in which the rate of change of temperature is maximum, we need to compute the direction of the gradient vector at the point (l,l,l).The magnitude of the gradient vector is given by |∇T(x,y,z)| = √((∂T/∂x)² + (∂T/∂y)² + (∂T/∂z)²) = √(y⁶ + 9x²y⁴z² + x²y⁶)The direction of the gradient vector is given by its unit vector ∇T(x,y,z)/|∇T(x,y,z)|. Therefore, the direction of maximum rate of change of temperature is given by∇T(l,l,l)/|∇T(l,l,l)|= [(l³)i + (3l²)j + (l³)k] / √(l⁶ + 9l⁴ + l⁶)= (1/√11)[(l³)i + (3l²)j + (l³)k].

To know more about temperature visit :-

https://brainly.com/question/7510619

#SPJ11

Using it's concept, the standard deviation of the data-set is of 2.39.

The mean of the data-set in this problem is given by:

M = (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4)/7 = 8.6.

Hence the standard deviation is:

\(S = \sqrt{\frac{(6.5-8.6)^2+(11.2-8.6)^2+(13-8.6)^2+(6.3-8.6)^2+(7-8.6)^2+(8.8-8.6)^2+(7.4-8.6)^2}{7}} = 2.39\)

More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602

#SPJ1

Answer:

office printer

Step-by-step explanation:

24/8= 3 per min

36/18= 2 per min

office printer is faster

Answer:

The office printer.

Step-by-step explanation:

If the office printer prints 24 photos in 8 minutes, then it prints 3 per minute, since 24/8=3.

If the home printer prints 36 photos in 18 minutes, then it prints 2 per minute, since 36/18=2.

Answer:

Kari will need 4 quarts of paint to paint the flagpole.

Step-by-step explanation:

Based on the calculations, an equation which best models the graph is N(x) = -3x² + 22x + 52 = 0.

In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0.

Taking the data values for the graph as follows:

                                 Museum Visitors

Day of Week, x:                  1   2   3   4   5   6   7

Number of Visitors, N(x):   71 84 91 92 87 76 59

For each day of the week, we would write the quadratic equation as follows:

f(x = 1) = a(1)² + b(1) + c = 71 = a + b + c    .....equation 1.

f(x = 2) = a(2)² + b(2) + c = 84 = 4a + 2b + c    .....equation 2.

f(x = 3) = a(3)² + b(3) + c = 91 = 9a + 3b + c     .....equation 3.

Solving the equations simultaneously, we have:

a = -3

b = 22

c = 52

Therefore, the quadratic equation is given by:

N(x) = ax² + bx + c = 0.

N(x) = -3x² + 22x + 52 = 0.

Read more on quadratic equation here: brainly.com/question/1214333

#SPJ1

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

11.25

Step-by-step explanation:

20% is 1/5 so decide by 5

The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.

The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.

Learn more about expected value here

https://brainly.com/question/18523098

#SPJ4

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

Learn more about proportion, click;

https://brainly.com/question/7096655

#SPJ1

There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

To learn more about combinations:

https://brainly.com/question/295961

#SPJ4

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

Answer:

1 / 24, or 4.16667%

Step-by-step explanation:

To find the probability of both events happening you first need to calculate the probability of each event, then multiply them together.

The blue section is 1 of 4 total sections, meaning the probability is \frac{1}{4}

A six sided die has 1 of 6 possible outcomes, or \frac{1}{6}

\(\frac{1}{4} * \frac{1}{6} = \frac{1}{24}\)

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps

Answer:

Step-by-step explanation:

B

Answer:

No, it is not a function because if you drew any vertical line it would intersect the points (lines) more than once. Basically, the points plotted intersect themselves if you connect all of them on a graph

Step-by-step explanation:

To show your work and understand it more type in Desmos graphing calculator on Google and type in the points and they will then appear on the graph. Hope this helps

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

The positive root of the quadratic equation x² - 5x = 14 is 7.

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question.

x² - 5x = 14

Rearrange in standard form
x² - 5x - 14 = 0

Plug the values of a, b and c into the quadratic formula and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -(-5) ±√( (-5)² - ( 4 × 1 × -14) )) / (2 × 1)

x = ( 5 ±√( 25 - ( -56 ) )) / 2

x = ( 5 ±√( 25 + 56 )) / 2

x = ( 5 ±√( 81 )) / 2

x = ( 5 ± 9 )/2

x = ( 5 - 9 )/2, x = ( 5 + 9 )/2

x = (-4)/2, x = (14)/2

x = -2, x = 7

Therefore, the solutions are x = -2 and x = 7.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

The general solution to the differential equation \(\(y'' - 2y' + y = t^{-1}e^t\)\) is \(\[y(t) = C_1e^t + C_2te^t + (\ln|t| + C_3t + C_4)e^t,\]\) where \(\(C_1\), \(C_2\), \(C_3\), and \(C_4\)\) are arbitrary constants.

One or more terms and the derivatives of one variable (the dependent variable) with respect to the other variable (the independent variable) make up a differential equation. f(x) = dy/dx Here, the independent variable "x" and the dependent variable "y" are both present.

To find the general solution to the differential equation \(\[y'' - 2y' + y = \frac{t^{-1}e^t}{t^2}\]\) using the method of variation of parameters, we can follow these steps:

Step 1: Find the complementary solution (homogeneous solution) to the associated homogeneous equation \(\[y'' - 2y' + y = 0.\]\) The characteristic equation is \(\[r^2 - 2r + 1 = 0,\]\) which factors as \(\[(r - 1)^2 = 0.\]\) Therefore, the complementary solution is \(\[y_c(t) = C_1e^t + C_2te^t,\]\) where \(\(C_1\)\) and \(\(C_2\)\) are arbitrary constants.

Step 2: Assume a particular solution of the form \(\[y_p(t) = u_1(t)e^t,\]\) where \\((u_1(t)\)\) is an unknown function to be determined.

Step 3: Differentiate \(\(y_p(t)\)\) to find \(\(y_p'\)\) and \(\(y_p''\)\), and substitute them into the original differential equation. We have:

\(\[y_p'(t) = u_1'(t)e^t + u_1(t)e^t\]\\y_p''(t) = u_1''(t)e^t + 2u_1'(t)e^t + u_1(t)e^t\]\)

Substitute \(\(y_p(t)\), \(y_p'(t)\)\), and \(\(y_p''(t)\)\) into the differential equation:

\(\[(u_1''(t)e^t + 2u_1'(t)e^t + u_1(t)e^t) - 2(u_1'(t)e^t + u_1(t)e^t) + u_1(t)e^t = \frac{t^{-1}e^t}{t^2}\]\)

Simplify:

\(\[u_1''(t)e^t = \frac{1}{t^2}\]\)

Step 4: Integrate both sides of the equation to solve for \(\(u_1(t)\)\):

\(\[\int u_1''(t)e^t dt = \int \frac{1}{t^2} dt\]\)

\(\[u_1'(t)e^t = -\frac{1}{t} + C_3,\]\) where \(\(C_3\)\) is an arbitrary constant.

Integrate again:

\(\[u_1(t) = \int (-\frac{1}{t} + C_3)e^{-t} dt\]\)

\(\[u_1(t) = \ln|t| + C_3t + C_4,\]\) where \(\(C_4\)\) is an arbitrary constant.

Step 5: The particular solution is \(\(y_p(t) = u_1(t)e^t\)\):

\(\[y_p(t) = (\ln|t| + C_3t + C_4)e^t\]\)

Step 6: The general solution to the original differential equation is the sum of the complementary solution and the particular solution:

\(\[y(t) = y_c(t) + y_p(t)\]\)

\(\[y(t) = C_1e^t + C_2te^t + (\ln|t| + C_3t + C_4)e^t,\] where \(C_1\), \(C_2\), \(C_3\), and \(C_4\)\) are arbitrary constants.

Therefore, the general solution to the differential equation \(\(y'' - 2y' + y = t^{-1}e^t\)\) is \(\[y(t) = C_1e^t + C_2te^t + (\ln|t| + C_3t + C_4)e^t,\]\) where \(\(C_1\), \(C_2\), \(C_3\), and \(C_4\)\) are arbitrary constants.

Learn more about differential equation on:

https://brainly.com/question/25731911

#SPJ4

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The unknown value of the given expression is 750.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Let x represents the square.

And y and z represent the triangle and star, respectively.

So, from the diagram we have,

x + 3y + z = 51   ....(1)

12x + 5z = 234   .....(2)

8x -6x + 3x = 60

That means,

x = 12

So, from the equation (2),

144 + 5z = 234

z = 18

Then y = 7.

Now, the required diagram in the equation form,

z(y+z-x) + x(y + z + z) = n

Substituting, the value of x, y and z,

n = 234 + 516

n = 750

Therefore, the unknown value is 750.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

What happens to the median: It increases by 51.

What happens to the mean: It increases by 34.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of data, we have;

Total, F(x) = 609 + 636 + 691 + 719 + 762 + 813 + 856 + 919 + 988

Total, F(x) = 6,993

Mean = 6,993/9

Mean = 777.

When the $609 salary changes to $915, the mean is given by;

Total, F(x) = 915 + 636 + 691 + 719 + 762 + 813 + 856 + 919 + 988

Total, F(x) = 7,299

Mean = 7,299/9

Mean = 811.

Difference = 811 - 777 = 34 (It increases by 34).

For the median, we have;

Median = 762.

After changing $609 salary to $915, the median is given by;

Median = 813

Difference = 813 - 762 = 51 (It increases by 51).

Read more on mean here: brainly.com/question/9550536

#SPJ1