If y=25 and x=25. What is x+y+300=?

Answers

Answer 1

Answer:

350

Step-by-step explanation:

Y=25 X=25

x + y + 300 = ___

25 + 25 + 300 = 350

Answer 2

Answer:

350

Step-by-step explanation:

given that

y = 25

x = 25

in order to evaluate for the value of

x + y+ 300 = ?

25 + 25 + 300 =350


Related Questions

At 6: 00 a.m., Buffalo, NY had a temperature of 10℉. At noon, the temperature was −10℉, and at midnight it was −20℉.
write a statement comparing -10 and -20

Answers

Answer:

It got colder Because some nights it gets colder?

Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus broom plus a broom =21 and three spoons say spoon plus spoon plus spoon = 12 then final question is a plain witch plus broom x spoon equal a ? What’s answer?

Answers

Answer:

Either 43 or 88

Step-by-step explanation:

45/3 = 15 (one witch)

21/3 = 7 (one broom)

12/3 = 4 (one spoon)

PEMDAS:

Equation: 15 + 7 x 4

if there are parenthesis and the equation looks like:

(15 + 7) x 4

the answer is 88.

if there is NOT parenthesis and the equation looks like:

15 + 7 x 4

the answer is 43.

Answer:

31

Step-by-step explanation:

witch with spoon and wand equals 15 each...wand = 7 spoon =3

Larry is building a frame around a rectangular picture. He will need 46 inches of wood to do the entire frame. If the frame is 13
inches long, how wide is the frame?
A. 10 inches
B. 23 inches
C. 8 inches
D. 20 inches​

Answers

33 inches wide for the frame

Answer:

Step-by-step explanation:

PLEASE HELP ME OUT I NEED HELP ASAP!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

when you add the same number to the previous number it forms a straight line

Plz plz plz this is due today and I really need help

Answers

Answer:

The y-intercept is (0, 34).

I used Demos graphing calculator and included an image of what values I put in.

Evan's science class planted sunflower seeds as part of a research project. A student was sent out each week to measure the height of a flower of their choice. The data in the scatter plot shows their findings from week 2 to week 12.


Which function, h(w), approximates the height of the sunflowers after w weeks?

A) h(w) = 0.30x - 1.09

B) h(w) = 0.30x + 1.52

C) h(w) = 3.18x + 3.78

D) h(w) = 3.23x - 4.14

Answers

Answer:

D

Step-by-step explanation:

If you graph equation D you get the following graph, which is closest to the plots

Final answer:

It's impossible to determine the accurate function h(w) that approximates the height of the sunflowers after w weeks from the question alone. This would typically involve evaluating a scatter plot and applying linear regression to find the best fitting function. The approximating function would be understood as the one that best matches the given options, minimizing the distance between the data points and the line.

Explanation:

The function that approximates the height of the sunflowers after w weeks (h(w)) cannot be determined directly from the question as it depends on the data present in the scatter plot that was mentioned. Given a scatter plot, we would aim to find a function that best approximates the trend or pattern seen in the plot.

It's an instance of linear regression, a statistical method used to model the relationship between a dependent variable (in this case, height of the sunflowers) and one or more independent variables (in this case, number of weeks). Assuming a linear relationship between weeks and the height of the sunflowers, we want to fit a linear equation (like the given options) that represents this correlation, minimizing the distance between the data points and the line.

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shape 2
shape 1
8
10
12
14
16
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 is congruent to shape 2, which can be shown using a sequence of dilations and translations.
B.
Shape 1 is not congruent to shape 2 because the shapes do not have the same absolute coordinates.
C.
Shape 1 is congruent to shape 2, which can be shown using a translation
D.
Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 ontos

Answers

Answer:

a)shape 1 is congruent to shape 2 which can be shown using a sequence of dilutions and translations

Genevieve works on her scrapbook from 11:27 am to 11:58 am. How many minutes does she work on her scrapbook

Answers

Answer:

31

Step-by-step explanation:

time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.

Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31

Samuel needs 2 boards to make a shelf. One board is 84 centimeters long

and the other is 45 centimeters long.

What is the total length of the shelf?

centimeters

What would your answer be in millimeters?

millimeters

Answers

Answer:

The length of the shelf is 129 cm or 1290 mm.

Step-by-step explanation:

Since Samuel will use the two boards to make the shelf, then the total length of the shelf is the sum of the lengths of each board. So in order to solve this problem we must do as shown bellow:

length shelf = length board1 + length board2

length shelf = 84 + 45 = 129 cm

In order to convert this to milimeters we must multiply the answer above by 10. So we have:

length shelf = 129*10 = 1290 mm

The length of the shelf is 129 cm or 1290 mm.

Answer: 129 cm = 1290 mm

Step-by-step explanation:

Hi, to answer this question we simply have to add the length of both boards.

Mathematically speaking:

Total length = 84 cm + 45 cm = 129 centimiters

Since:

1 cm = 10mm

To convert 129 cm to mm we have to multiply it by 10.

129 cm x 10 mm/cm =1290 mm

Feel free to ask for more if needed or if you did not understand something.

Arrange these numbers from least to greatest: -2.5, 2/5, 5/2, -5.2

Answers

Answer:

-5.2, -2.5, 2/5, 5/2

Step-by-step explanation:

Arrange it

A pot of piping hot stew has been removed from the stove and left to cool.
The relationship between the elapsed time, m, in minutes, since the stew was removed from the stove, and the
temperature of the stew. T(m), measured in C is modeled by the following function.
T(m) = 20 + 50 - 10-0.0477
How many minutes will it take for the stew to cool to a temperature of 30°C?
Round your answer, if necessary to the nearest hundredth.
minutes

Answers

Answer: 17.47 minutes

Step-by-step explanation:

Final answer:

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, solve the given nonlinear equation or graph it to find the intersection point.

Explanation:

The given function that models the relationship between the elapsed time, m, in minutes, and the temperature of the stew, T(m), is:

T(m) = 20 + 50 - 10^(-0.0477m)

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, we need to solve the equation:

30 = 20 + 50 - 10^(-0.0477m)

By isolating the unknown variable, m, we can solve for it using logarithms or graphing. However, since the equation is nonlinear, graphing is a more intuitive approach. Graph the equation and find the x-coordinate at which the graph intersects with the y-coordinate 30. This value of m will give you the number of minutes it will take for the stew to cool to 30°C.

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The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree be 30 years after it was planted?
A) 22 Feet
B) 36 Feet
C) 37 Feet
D) 23 Feet

Answers

the answer is C) 37 feet

PLS HELP ME IF YOU WANT A BRAINLIEST IM DOING THIS NOW and IDU, Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. Use the drop-down menus to choose the median, interquartile range, and range.

>Median:

>Interquartile range:

>Range:

Answers

Answer: Median: 18

              Interquartile range: 4

              Range: 18

Step-by-step explanation: The median line is at 18, the interquartile range is the difference between the ends of the box, 20 - 16 = 4. The range is the difference between the ends of the line, 28 - 10 = 18. Let's take a look at how the data can be compared, from the two schools using the box plot.

From the information provided, it is clear that the

Median = 18Interquartile range = 4Range = 18

How do we arrive at the following above?

By observation, the median line is at 18. Note that the median of a distribution is the quantity that lies at the midpoint of a frequency distribution.

The interquartile range is the variance between the quantity at the end of the box, 20 - 16 = 4. The interquartile range (IQR)is defined as the mid 50% of the values in distribution when arranged from the lowest to the highest.

The range is defined as the difference between the quantities at the terminal points of the line. Hence, 28 - 10 = 18.

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is 8, 10, 12 a Pythagorean Triples ?

Answers

Answer:

No

Step-by-step explanation:

You use the formula a^2 + b^2= c^2. The biggest number is c.

So 8 ^2 + 10^2 has to equal 12^ 2

64 + 100= 144

164=144

That is not true.

Answer:

No, they are not

Step-by-step explanation:

If you simplify all 3 numbers, you get 4, 5, 6

If you graph the triangle on graph paper, it wouldn't work and there would be a gap.

3, 4, 5 triangles do work though!

Find the value of x
Options being
A) 27
B) 4
C) 2
D) 8

Answers

Answer:

B

Step-by-step explanation:

81 = 9 × 9 = 3 × 3 × 3 × 3 = [tex]3^{4}[/tex]

Thus the [tex]\sqrt[4]{81}[/tex] = [tex]\sqrt[4]{3^{4} }[/tex] = 3

Hence x = 4 → B

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i =
−1
?

Answers

Answer:

14 + 18i

Step-by-step explanation:

[tex](5 + 12i) - (9 {i}^{2} - 6i) \\ = (5 + 12i) - (9 \times (- 1) - 6i) \\ = (5 + 12i) - ( - 9 - 6i) \\ = (5 + 12i) + ( 9 + 6i) \\ = 5 + 12i + 9 + 6i \\ \red { \bold{ = 14 + 18i}}[/tex]

Answer: It's 14+18i I got a correct

Factor each trinomial completely.
4x^2 - 25b^2 and x^2 - 81

Answers

Step-by-step explanation:

4x2 - 25b2

We can solve it by the squares so

(2x - 5b) (2x + 5b)

2) x2 - 81

The same case is here so

(x - 9) (x + 9)

The factorization of the trinomial are;

a. 4x² - 25b² = (2x + 5b)(2x - 5b)

b. x² - 81 = (x + 9)(x - 9)

What is the factorization of the trinomial?

To factor the trinomial 4x² - 25b², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

Applying this formula to 4x² - 25b², we have:

4x² - 25b² = (2x)² - (5b)²

Now, we can rewrite the trinomial as a difference of squares:

4x² - 25b² = (2x + 5b)(2x - 5b)

Therefore, the trinomial 4x² - 25b² can be factored as (2x + 5b)(2x - 5b).

To factor the trinomial x^2 - 81, we can use the difference of squares formula once again:

x² - 81 = x² - 9²

This can be written as a difference of squares:

x² - 81 = (x + 9)(x - 9)

Thus, the trinomial x² - 81 can be factored as (x + 9)(x - 9).

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What is the maximum recommended slope for straight-run stair?

A) 7-1/2" riser, 10" tread
B) 7' riser, 10" tread
C) 7-3/4" riser, 10-1/2" tread
D) 10" riser, 7-1/2" tread

Answers

D 10” riser , 7-1/2 treas

Which points are on the graph of g(x)=(1/5)^x ? Select each correct answer. (3, 1/125) (−2, 1/25) (1, 0) (−1, 5)

Answers

Answer:

(3,1/125) and (-1,5)

Step-by-step explanation:

plug in the first coordinate (x-coordinate) in each pair for x in the original equation and the second coordinate (y-coordinate) for g(x)

If a pool table measures 4 ft by 8 ft , what is the diagonal length from the bottom right pocket to the nearest tenth?

Answers

Answer:

8.9 ft

Step-by-step explanation:

Use Pythagorean theorem,

a² + b² = c²

√(a² + b²) = c

The diagonal is the hypotenuse of the rectangular pool table.

So,

√(4² + 8²) = c

√(16 + 64) = c

√(80) = c

8.944... = c

Nearest tenth:

8.9

I will give you a Brainly crown if it is right. Will you help me

Answers

Answer: 811.2

Step-by-step explanation:

The polynomial p(x) = x^3 - 21x - 20 has a known factor of (x-5). Rewrite p(x) as a product of linear factors.

Answers

Answer:

p(x) = (x - 5)(x + 1)(x + 4)

Step-by-step explanation:

Using Synthetic division to find the quotient on dividing p(x) by (x - 5)

5 | 1  0  - 21   - 20 ← 0 to represent the coefficient of x² term

        5    25     20

    -----------------------

     1  5   4        0 ← remainder is zero

quotient = x² + 5x + 4 = (x + 1)(x + 4)

p(x) = (x - 5)(x + 1)(x + 4)

The polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;

(x-5) (x+4) (x+1).

According to the question, the polynomial, p(x) = x^3 - 21x - 20 has a known factor of (x- 5).

To further factorise this polynomial such that it becomes a product of linear factors, we must first, perform the long division of x³ - 21x - 20 divided by (x-5).

The polynomial long division is as in the image attached;

The result of the division of x³ - 21x - 20 by (x-5) yields;

x² + 5x + 4.

The expression, x² + 5x + 4 can however be further factorised so that we have;

x² + 5x + 4 = (x+4) (x-1)

Ultimately, the polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;

(x-5) (x+4) (x+1).

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Does someone knows the correct answer?? I think is d but I don’t know

Answers

Answer:

I think you are right

Step-by-step explanation:

Answer:

YES I AM PRETTY SURE ITs :D GOOD LUCK HAVE A GREAT DAY

Step-by-step explanation:

Tessa bought stock in a restaurant for $238.00. Her stock is now worth $330.82. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

39%

Step-by-step explanation:

Old value = $238.00

New value = $330.82

Change in value = New value - old value

= $330.82 - $238.00

= $92.82

percentage increase = Change in value/ old value * 100

= 92.82 / 238 * 100

= 0.39 * 100

= 39%

Consider triangle ABC and triangle ACD in the diagram below. Which of the following complete the proof above?
Options
- AB =AD
- AC=AC
- AC=BD
- BC=DC

Answers

Given:

AC is perpendicular bisector of BD

AB ≅ AD

To prove:

ΔABC ≅ ΔACD

Solution:

In triangle ABC and triangle ACD,

Step 1: Given

AC is perpendicular bisector of BD and

AB ≅ AD (Side)

Step 2: By perpendicular bisector definition,

BC ≅ CD (Side)

Step 3: By reflexive property,

AC ≅ AC (Side)

Step 4: By SSS congruence criterion,

ΔABC ≅ ΔACD

Hence proved.

Answer:

BC=DC

Step-by-step explanation:

I did the test yourself and got it right :)

The base diameter and the height of a cone are both equal
to x units
Which expression represents the volume of the cone, in
cubic units?
Pix^2

Answers

Answer:

1/3 times x squared divided by 4 times pi times x.

Step-by-step explanation:

Hope this helps!

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years. He paid $9.66 monthly per thousand on his original loan. At the end of 2 years he owes the bank $55,000. Since interest rates have risen to 12%, the bank will not renew the mortgage at this rate, or Jim can pay the bank $55,000. He decides to renew and will now pay $11.02 monthly per thousand on his loan. For comparison purposes the small amount of principal that has been paid during the 2 years can be ignored.

Old monthly payment =_______
New monthly payment =_______
Percent increase in monthly payment (to nearest tenth) =______

Answers

Old monthly payment = $966

New monthly payment = $605.10

Percent increase (to nearest tenth) = -37.3%

Given that,

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years.

He paid $9.66 monthly per thousand on his original loan.

At the end of 2 years, he owes the bank $55,000.

Interest rates have risen to 12%, and the bank will not renew the mortgage at this rate.

Jim can either pay the bank $55,000 or renew the mortgage at the higher interest rate.

Jim decides to renew and will now pay $11.02 monthly per thousand on his loan.

For comparison purposes, the small amount of principal that has been paid during the 2 years can be ignored.

Based on the information provided, Jim's old monthly payment can be calculated as follows:

Calculate Jim's original loan amount. We know that he paid $9.66 monthly per thousand on his original loan,

So if we divide his monthly payment by 1000,

We get his monthly interest rate:

$9.66 ÷ 1000 = 0.00966

Use the loan formula to calculate Jim's original loan amount:

Loan amount = Payment amount ÷ (Interest rate x (1 + Interest rate[tex])^N[/tex]- 1)

Where N is the number of payment.

Using this formula, and plugging in Jim's numbers, we get:

Loan amount = $9.66 ÷ (0.00966 x [tex](1 + 0.00966)^{240}[/tex] - 1)

                      = $100,000

Now that we know Jim's original loan amount, we can calculate his old monthly payment:

Old monthly payment = Loan amount x Payment amount per thousand

                                    = $100,000 x $9.66

                                    = $966

Therefore, Jim's old monthly payment was $966.

To calculate the new monthly payment and the percent increase,

We can follow these steps:

First, we need to calculate Jim's new loan amount.

We know that he owes the bank $55,000 after 2 years,

So we can use this amount as his new loan amount:

New loan amount = $55,000

Calculate Jim's new monthly interest rate.

We know that the interest rate has increased from 10% to 12%,

So we can calculate the new monthly interest rate as follows:

New monthly interest rate = 12% ÷ 12

                                            = 0.01

Use the loan formula again to calculate Jim's new monthly payment:

New monthly payment = Loan amount x Payment amount per thousand

                                      = $55,000 x $11.02

                                      = $605.10

Therefore, Jim's new monthly payment is $605.10.

To calculate the percent increase,

we can use the following formula:

Percent increase = ((New value - Old value) ÷ Old value) x 100%

Plugging in Jim's numbers, we get:

Percent increase = ((605.10 - 966) ÷ 966) x 100% = -37.3%

Therefore, the percent increase (to the nearest tenth) is -37.3%.

However, note that this is a negative value, which means that Jim's new monthly payment is actually lower than his old monthly payment.

This is likely due to the fact that the loan amount has decreased significantly since Jim has already paid off a portion of the loan during the first 2 years.

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Final Answer:

Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

Explanation:

Let's calculate each part step by step.
Firstly, we will calculate the old monthly payment. Jim was paying at a rate of $9.66 monthly per thousand dollars of the original loan. We'll first determine how many thousands of dollars Jim owed at the beginning:

1. Old Monthly Payment:
Since he owes $55,000 at the end of 2 years and hasn't paid much towards the principal, we assume that the original loan amount was approximately $55,000.

Now, if he paid $9.66 per thousand dollars of the loan, we will calculate the monthly payment with the following steps:
- Divide the loan amount by 1,000 to find out how many "units" of $9.66 he would have to pay.
- Multiply the number of units by $9.66 to find the monthly payment.

Doing the calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units. \\\\\( 55 \text{ units} \times $9.66 = 55 \times 9.66 = $531.30 \).[/tex]
So, the old monthly payment was $531.30.

2. New Monthly Payment:
Now that the interest rate has increased to 12%, Jim will be paying at a rate of $11.02 monthly per thousand dollars.

Using the same method as above:
- Divide the loan amount by 1,000 to get the number of units.
- Multiply the number of units by $11.02 to find the new monthly payment.

Calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units.\\\\\( 55 \text{ units} \times $11.02 = 55 \times 11.02 = $605.10 \).[/tex]
So, the new monthly payment is $605.10.

3. Percent Increase in Monthly Payment:
To find the percent increase, we'll use the formula:

[tex]\[ \text{Percent Increase} = \left( \frac{\text{New Payment} - \text{Old Payment}}{\text{Old Payment}} \right) \times 100 \][/tex]
Performing the calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{605.10 - 531.30}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = \left( \frac{73.80}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = 0.1388 \times 100 \\\\\[ \text{Percent Increase} = 13.88\% \][/tex]

To find the nearest tenth, we'll round the percent increase to one decimal place:
13.88% rounded to the nearest tenth is 13.9%.

Now, we can write down the final answers:
Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

How many centimeters is Campsite 3 from the canoe rental office?

Answers

Answer:

hi

Step-by-step explanation:

u need to give more information plz thanks

Answer:5 centimeterts

Step-by-step explanation:it right

8. sin 38 = x/16 what does x equal​

Answers

2.375

Answer:

if the slash (/) is  dividing then your answer would be

608

if the slash (/) means to multiply your answer would be

2.375

Step-by-step explanation:

if you were dividing then you have to do the opposite equation.In this case the opposite of dividing is multiply. Multiply the numbers you have then it will give your missing factor.

(Same goes with multiplying)

Mrs. Vamer deposited q dollars in a bank account that has been earning annual interest The total value of the
account is based on the function f(x) = 1.025%, where x represents the number of years the money has been in the account If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of
the account 5 years from now?​

Answers

Answer:

the answer is b

Step-by-step explanation:

nun

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Each section offers a problem with the lightning story and an alternative solution for what might have happened.B. Two of the sections focus on different causes for the writer's doubt, while the other two show how it might have happened.C. Three sections describe why the experiment probably did not occur, while the other offers a possible alternative.D. Each section compares and contrasts different accounts of the experiment, including those of people in the past and present. At the age of eighteen, all male citizens are required to .A citizen receives a summons from a US court to report for .The three most common types of taxes that citizens must pay are income, sales, and taxes. Race Times29 min.31 min.31 min.34 min.35 min.37 min.40 min.42 min.45 min.Sarabeth used a box-and-whisker plot to summarize her race times in minutes. She didn't include her latest race time of 38 minutes. How will the inclusion of this new time affect the box-and-whisker plot?A)The range will increase.B)The median will increase.C)The lower quartile will increase.D)The upper quartile will increase. What is the area of this figure? Reread lines 5-26. What clues in the entry helps readers make inferences about why Mr. Kugler hasnt been able to find anyone else to fill the packages of powdered gravy?Dearest Kitty,This morning I was constantly interrupted, and as a resultI havent been able to finish a single thing Ive begun.We have a new pastime, namely, filling packages withpowdered gravy. The gravy is one of Gies Co.s1[1] products.Mr. Kugler hasnt been able to find anyone else to fill thepackages, and besides, its cheaper if we do the job. Its thekind of work they do in prisons. Its incredibly boring andmakes us dizzy and giggly.Terrible things are happening outside. At any time ofnight and day, poor helpless people are being dragged out oftheir homes. Theyre allowed to take only a knapsack and little cash with them, and even then, theyre robbed of these possessions on the way. Families are torn apart; men, women and children are separated. Children come home from school to find that their parents have disappeared. Women return from shopping to find their houses sealed, their families gone. The Christians in Holland are also living in fear because their sons are being sent to Germany. Everyone is scared. Every night hundreds of planes pass over Holland on their way to German cities, to sow their bombs on German soil. Every hour hundreds, or maybe even thousands, of people are being killed in Russia and Africa. No one can keep out of the conflict, the entire world is at war, and even though the Allies[2]are doing better, the end is nowhere in sight. ILL GIVE YOU BRAINLIEST!! Pat needs 19 balloons for a water balloon fight. About how many ounces of water will he need if each balloon holds 2 ounces of water?A. 40 ounces B. 19 ounces C. 30 ounces D.50 ounces E. 20 ounces A tank that is 25 cm long, 10 cm wide, and 8 cm deep can hold how many liters of water? A delivery company has 18 vehicles in its fleet. it has 8 vans and 10 trucks All 18 vehicles are on the road every working day The company is reviewing its fuel expenses and therefore gathers some information about each type of vehicle VAN=> average distance travelled per day (in km) is 198 and its average distance travelled per litre is 9 TRUCK=>average distance travelled per day (in km) is 620 and its average distance travelled per litre is 6.2 All the vehicles use the same type of fuel at 1.29 per litre Use this information to work out the bill for 1 working day. You must show all of your working Many realistic application involve sampling without replacement. For example, in manufacturing, quality control inspectors sample items from a finite production run without replacement. For such a finite population. we have to adjust the value of sigma(X bar). Take (without replacement) samples of size 2 from the above population of N= 5 objects {1, 2, 3, 4, 5) a. How many such samples are possibleb. List all the Xs, i.e. the means of all these samples of size 2c. Find the mean of these means, i.e. E(X)d. Is E(X)=Mu?e. Find the standard error sigma(X), i.e. the std deviation of all these meansf. Show that the standard error equals Note: is called the finite population correction factor. Typically it is used when the sample size n is greater than 5% of the finite population size. A new metal alloy is found to have a specific heat capacity of 0.321 J/(gC). First, 44.5 g of the new alloy is heated to 100. C. Then, it is placed in an ideal constant-pressure calorimeter containing 175 g of water (Vs,water=4.184 J/(gC)) at an initial temperature of 20.0 C. What will the final temperature of the mixture be after it attains thermal equilibrium