James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

Step-by-step explanation:

\(3(* + 4) - 2 (1 - 1);\\\\3(\times +4)-2(1-1)\\\\3\left(4\right)-2\left(1-1\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3\times \:4-2\left(1-1\right)\\\\3\times \:4=12\\2\left(1-1\right)=0\\\\=12-0\\\\=12\)

In a multiple regression model, the error term e is assumed to be normally distributed. This means that option (d) "be normally distributed" is the correct answer.

In multiple regression, the error term (also known as the residual) represents the discrepancy between the observed values and the predicted values of the dependent variable. It captures the unexplained variation in the data.

The assumption of normal distribution for the error term is a fundamental assumption in multiple regression analysis. It implies that the errors follow a normal distribution with a mean of zero and a constant variance. This assumption allows for the use of statistical inference techniques and hypothesis testing based on the properties of the normal distribution.

Therefore, in a multiple regression model, the error term e is assumed to be normally distributed, which aligns with option (d) as the correct answer.

To learn more about hypothesis testing click here : brainly.com/question/29996729

#SPJ11

Answer and Step-by-step explanation:

Ok, so all we have to do is input the values into the equation.

We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13

and that

Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.

Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

This is the answer.

#teamtrees #WAP (Water And Plant)

Answer: Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

Step-by-step explanation:

3600/p is an algebraic expression that represents the Share of each partner.

What is the algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Here, we have

Given: Suppose that p partners equally share the profits from a sale of $3,600.

Number of Partners  = p

Total Profit  = $ 3600

Profit of Each Partner  = Total Profit/number of Partners

=> Profit of Each Partner  = 3600 / p

Hence,  3600/p is an algebraic expression that represents the Share of each partner.

To learn more about the algebraic expression from the given link

https://brainly.com/question/4344214

#SPJ1

Answer:

48

Step-by-step explanation:

63-15=48

Answer:

48

Step-by-step explanation:

You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.

Answer:

you can give her brainliest now c:

Step-by-step explanation:

First we notice that in each order, they place the same items from the menu. Let them be

For the first order we know that they ordered 2 small pizzas, a liter of soda and a salad and that it cost 14 dollars. We can write this like

For the second order we have one small pizza, a liter of soda and three salads. That cost 15 dollars. Then

Finally, the last order was three pizzas, a liter of soda and two salads all this with a cost of 22 dollars, so

Then, from the data we have the following system of equations

Once we solve this system we can know how much each item cost. To solve, first we are going to solve the first equation for z. Then

Then we plugg this value of z in the other two equations. Then

Simpligying our new equations we have

Now we have another system of equations, but in this case we only have two equations for two variables.

To solve this new system we solve the second equation for y,

Then we plug the value of y in the first equation of our second system

Solving for x, we have

Now that we have tha value of x, we can find the value of y from

Finally, we can know the value of z from

Therefore the pizza cost 5 dollars, the liter of soda 1 dollar and the salads 3 dollars.

The bracket should be placed 40 inches away from the vertex (0,0) looking at the equation y=1/160x^2 models a solar cooker.

The equation with a vertex is : y = ax²

We know that the focus of a parabola is normally at the point (h, k + p), where (h, k) is the vertex of the  parabola  and 'p' is the distance between the vertex and the focus.  

Since the vertex at the origin is  (0,0), the parabolic equation then becomes;

y = (1/4p)x²

1/4p = 1/160

4p = 160

p = 160 ÷ 4

p = 40

Find more exercises similar to this equation;

https://brainly.com/question/13742824

#SPJ1

Answer:

El estudiante obtuvo una calificación de 3.5 en su última evaluación.

Step-by-step explanation:

Dado que un estudiante obtuvo calificaciones de 5,7, 6,2 y 4,6 obteniendo un promedio total de 5 en sus calificaciones, para determinar qué nota obtuvo en la ultima prueba para lograr ese promedio, se debe realizar el siguiente cálculo:

(5.7 + 6.2 + 4.6 + X) / 4 = 5

(16.5 + X) / 4 = 5

16.5 + X = 4 x 5

16.5 + X = 20

X = 20 - 16.5

X = 3.5

Part one :-

In this part we will find area of small rectangle that is white in colour.

Given :-

To find :-

We know :-

Part two :-

In this part we will find are of big rectangle

Given :-

To find :-

We know :-

Part 3:-

Answer:

Question 3: x = 11

Question 4: x = -17

Question 5: x = 26

Question 6: 10 = x

Question 7: x = 36

Question 8: x = 88

Question 9: x = 81

Question 10: n = 36

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−95,−615)(-95,-615)

Equation Form:

x=−95,y=−615x=-95,y=-615

The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

learn more about equations click here:

brainly.com/question/2972832

#SPJ1



The TRUE statement about a New England Journal of Medicine study about twins and cancer is d) Environment played a dominant role compared to genetics in cancer likelihood amongst twins.

When a factor or person plays a dominant role, it implies that its role is decisive or overwhelming.

For instance, in the study about twins and cancer by the New England Journal of Medicine, environment decides whether twins will be predispose to cancer.

The role of environment overwhelms the role played by genetics in predisposing twins to cancer.

Thus, the true statement about the factor playing the dominant role is Option D.

Learn more about dominant roles at https://brainly.com/question/24289696.

#SPJ4

Which statement is true about a New England Journal of Medicine study about twins and cancer?

a) There was about a 70% chance if one twin contracted cancer, that the other twin would also get that same cancer.

b) Fraternal and identical twins have about the same chance of contracting cancers.

c) There was no significant correlation concerning cancer from one twin to another.

d) Environment played a dominant role compared to genetics in cancer likelihood amongst twins.

e) Environment was judged to have played a relatively small role in inherited cancer likelihood.

f) None of these statements is correct.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-1) and (-39,-121)

The distance between them is

\(d = \sqrt{ ({ - 4 + 39})^{2} + ({ - 1 + 121})^{2} } \\ = \sqrt{ {35}^{2} + {120}^{2} } \: \: \: \: \\ = \sqrt{1225 + 14400} \\ = \sqrt{15625} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 125 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

We have the final answer as

Hope this helps you

The first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.

In this question,

The nth term of the sequence is \(a_n=\frac{3^{(n-1)} }{n!}\)

Now substitute the values of n = 1,2,3,4,5

For n = 1,

⇒ \(a_1=\frac{3^{(1-1)} }{1!}\)

⇒ \(a_1=\frac{3^{0} }{1}\)

⇒ a₁ = 1

For n = 2,

⇒ \(a_2=\frac{3^{(2-1)} }{2!}\)

⇒ \(a_2=\frac{3^{(1)} }{(1)(2)}\)

⇒ \(a_2=\frac{3}{2}\)

For n = 3,

⇒ \(a_3=\frac{3^{(3-1)} }{3!}\)

⇒ \(a_3=\frac{3^{(2)} }{(1)(2)(3)}\)

⇒ \(a_3=\frac{9}{6}\)

⇒ \(a_3=\frac{3}{2}\)

For n = 4,

⇒ \(a_4=\frac{3^{(4-1)} }{4!}\)

⇒ \(a_4=\frac{3^{(3)} }{(1)(2)(3)(4)}\)

⇒ \(a_4=\frac{27}{24}\)

⇒ \(a_4=\frac{9}{8}\)

For n = 5,

⇒ \(a_5=\frac{3^{(5-1)} }{5!}\)

⇒ \(a_5=\frac{3^{(4)} }{(1)(2)(3)(4)(5)}\)

⇒ \(a_5=\frac{81}{120}\)

⇒ \(a_5=\frac{27}{40}\)

Hence we can conclude that the first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.

Learn more about sequence here

https://brainly.com/question/14147167

#SPJ4

The upper bound of the p-value for the given test is 0.109.

In hypothesis testing, the p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming that the null hypothesis is true. It provides a measure of the strength of evidence against the null hypothesis. In this case, we are given the null hypothesis H0: μ = 7 and the alternative hypothesis HA: μ > 7, where μ represents the population mean.

To find the p-value, we compare the test statistic with a t-distribution table or calculator. The test statistic, denoted as f, has a t-distribution with n - 1 degrees of freedom, where n is the sample size. In our case, n = 17.

Using the appropriate table or calculator, we find that the t-value corresponding to an upper bound of 0.109 is approximately 1.337 (assuming a one-tailed test). This means that the observed test statistic of 1.1 falls within the acceptance region, and the evidence against the null hypothesis is not strong enough to reject it at the given significance level.

In summary, the p-value for the given test is bounded above by 0.109, indicating that the observed data do not provide strong evidence to reject the null hypothesis. It is important to note that hypothesis testing is just one tool in statistical analysis, and other factors such as sample size, effect size, and contextual considerations should be taken into account when drawing conclusions from the results.

Learn more about Hypothesis Testing

brainly.com/question/28920252

#SPJ11

Shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

To find the shortest distance between a point and a plane, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) is the coordinates of the point.

In this case, the plane is x + y + z = 1, so a = 1, b = 1, c = 1, and d = -1. The point is (2, 0, -3), so x = 2, y = 0, and z = -3. Plugging in these values, we get:

distance = |1(2) + 1(0) + 1(-3) - 1| / √(1² + 1² + 1²)

= 3 / √3

= √3

Therefore, the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

Learn more about constant term.

brainly.com/question/26099230

#SPJ11

Answer: the answer is 24

The system of inequalities did not have any solution, but after reversing the  sign we will get a solution of the system of inequalities.

The inequalities are : y > 2x + 2/3 and y < 2x + 1/3

There is no intersection and no solution to the system since the region above the line y = 2x + 2/3 and the region below the line y = 2x + 1/3, respectively, are the solutions to the inequality y > 2x + 2/3 and y <2x + 1/3, respectively.

Now when the signs are changed we get:

y < 2x + 2/3 and y > 2x + 1/3

The region below the line y = 2x + 2/3 is the solution of the inequality

y= 2x + 2/3, and the region above the line y = 2x + 1/3 is the solution of the inequality y > 2x + 1/3. This implies that the area between the two lines is where the system's solution lies.

Disclaimer: The complete question is :

How will the solution of the system y>2x+2/3 and y<2x+1/3 change if the inequality sign on both inequalities is reversed to y<2x+2/3 and y>2x+1/3?

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ4

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. 

Step-by-step explanation:

Sample answer

The solution of the given inequality 4(x² - 5) - (x² - 5)² > -12 is x ≥ √3 or x ≤ -√3.

The given inequality is 4(x² - 5) - (x² - 5)² > -12. In order to solve the given inequality, first, we will multiply (x² - 5)² by -1 to get rid of the squared term. Next, we will simplify the terms by using the distributive property. Then, we will collect the like terms and solve the inequality.

Multiply (x² - 5)² by -1. => -(x² - 5)² = -x⁴ + 10x² - 25

Now, the given inequality is:

4(x² - 5) - (x² - 5)² > -12

4(x² - 5) + x⁴ - 10x² + 25 > -12

Simplify the terms by using the distributive property:

4x² - 20 + x⁴ - 10x² + 25 > -12

Simplifying further:

x⁴ - 6x² + 13 > 0

Collect like terms and solve the inequality:

(x² - 3)² + 4 > 0

As the square of any number is always greater than or equal to 0, so

(x² - 3)² ≥ 0 ⇒ (x² - 3)² + 4 ≥ 4

Hence, x² - 3 ≥ 0 ⇒ x² ≥ 3 ⇒ x ≥ ±√3

Therefore, the solution of the given inequality is x ≥ √3 or x ≤ -√3.

To know more about inequality, refer here:

https://brainly.com/question/30231017

#SPJ11

If Two signs that scores are significantly different then (a) the error bars of group will not overlap

Error bars are graphical representations of data variability that are used to indicate the error or uncertainty in a reported measurement on graphs.

The estimated error in a measurement is indicated by error bars. In other words, an error bar represents the degree of uncertainty in a value.

When the standard deviation error bars overlap significantly, it is an indication that the difference is not statistically significant. To reach a conclusion, you must conduct a statistical test.

When the standard deviation error bars overlap even less, it indicates that the difference is unlikely to be statistically significant.

For significantly different group , we also have p-value greater than 0.05

So, Option (b) is incorrect.

Hence, (a) The error bars of the groups will not overlap is correct

To know more about Error bars here

https://brainly.com/question/15859938

#SPJ4

First you need to find the LCM of 8 and 41

The LCM is 328

So he will water and feed his cactus again in 328 days.

:) almost one year

Brainiest plz

Answer:

42

Step-by-step explanation:

It is basically 7×6 when you replace the b with 7

Answer:

The answer is 13.

Step-by-step explanation:

Find the value of 6 + b:

Replacing b by 7 gives 6 + 7. (example)

If the difference between two positive integers is 4. The sum of the larger and the square of the smaller is 24, then The two positive integers are 4 and 8.

Let the two positive integers be x and y, where x is the smaller integer and y is the larger integer.

From the problem statement, we know that:

y - x = 4 (equation 1)

\(y + x^2 = 24\) (equation 2)

We can solve for y in equation 1:

y = x + 4

Substituting this expression for y into equation 2, we get:

\(x^2 + (x + 4) = 24\)

Simplifying and rearranging, we get:

\(x^2 + x - 20 = 0\)

We can factor this quadratic equation as:

(x - 4)(x + 5) = 0

So, x = 4 or x = -5. Since x has to be a positive integer, we can ignore the negative solution and conclude that:

x = 4

Substituting this value for x into equation 1, we get:

y - 4 = 4

So, y = 8

To know more about integers

brainly.com/question/28720547

#SPJ4

Answer:

Step-by-step explanation:

You are right it is 8!

The trigonometric ratios for angle x in the given right triangle are:

\(sin(x) = a/c\\\\cos(x) = b/c\\\\tan(x) = a/b\)

To find the trigonometric ratios for angle x in a right triangle with side lengths a, b, and c, we need to use the definitions of the trigonometric functions:

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

In a right triangle, the side lengths are related as follows:

a: opposite side to angle x

b: adjacent side to angle x

c: hypotenuse

Using these lengths, we can find the trigonometric ratios:

sin(x) = a/c

cos(x) = b/c

tan(x) = a/b

Therefore, the trigonometric ratios for angle x in the given right triangle are:

sin(x) = a/c

cos(x) = b/c

tan(x) = a/b

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

#SPJ1