Q4.


Colin works on 5 days each week.
Each day he drives from his home to work and from work to his home.

Colin pays £3.50 each day to use the car park at work.

The distance from Colin's home to work is 18 miles.
Colin's car uses one gallon of petrol every 45.2 miles.

1 liter of petrol costs 136.9p
1 gallon = 4.546 liters

Work out the total cost for Colin to use his car for work each week.
You must show all your working.

Answer: 10

Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.

P(egret)

=

egrets

total

=

7

2+7+2+3

=

7

14

=

1

2

The experimental probability is

1

2

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

2

=

n

20

1

2

(220)

=

n

20

(220) Multiply both sides by (220)

120

= 2n Simplify

20

= 2n Simplify

10

= n Divide both sides by 2

You would expect to see 10 egrets out of the next 20 birds.

The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

First, write the experimental probability as a fraction in simplest form.

P(egret)=egrets

total

=7

2+7+2+3=

7/14=1/2

The experimental probability is

1/2

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1/2=n20

1/2

(220)=n20

(220) Multiply both sides by (220)

120 = 2n Simplify

20 = 2n Simplify

10 = n [Divide both sides by 2]

You would expect to see 10 egrets out of the next 20 birds.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Answer:

3650

Step-by-step explanation:

Yes im doingbthis foe pointa

Answer:

1055.58 cube inches

Step-by-step explanation:

radius time height

Answer: 64.3

Step-by-step explanation:

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ6

Answer:

24 gallons

Hope this helps! :)

Answer: 192

Step-by-step explanation:

So we know the hose sprays 24 gallons of water a minute. We also know that 8 pints equal a gallon. So to figure out how many pints are in one minute, we multiply 8 x 24, since we have 24 gallons a minute and 8 pints equal a gallon. This equals 192 pints a minute.

Solution :

This is the two tailed test.

The null hypothesis and the alternate hypothesis is as :

Null hypothesis is [tex]$H_0:\mu=110000$[/tex]

Alternate hypothesis is [tex]$H_0:\mu \neq110000$[/tex]

[tex]$\overline x = 112000, \ \mu = 110000, \sigma = 16100, n = 50, \alpha = 0.02$[/tex]

Therefore, the critical value of z is :

[tex]$z_{\alpha} = -2.33 \text{ and}\ 2.33$[/tex]

Now the test statics is :

[tex]$z=\frac{\frac{(\overline x - \mu)}{\sigma}}{\sqrt n}$[/tex]

[tex]$z=\frac{\frac{(112000-110000)}{16100}}{\sqrt {50}}$[/tex]

[tex]$z=0.87$[/tex]

The test statics is 0.878

We see that it is a right tailed test.

[tex]$P(z > 0.878)=1-P(z<0.878) = 1 - 0.81 = 0.19$[/tex]

[tex]$P- \text{value}= \ 2 \times 0.19$[/tex]

              = 0.3800

Thus , P-value > α

So we fail to reject the null hypothesis.

Answer:

0.12 !!!!

Step-by-step explanation:

JUST TRUSE MEEEE!!!!

Answer:

that description is already wrong. you must have mistyped something here. please read your own problem description again and then try again. if each side length of triangle B is the side length of triangle A, then they do not only share the same shape (= angles), but they are identical, and the scale factor is simply 1.

I think what you mean is that every side length of B correlates to the side lengths of A by the factor f.

Step-by-step explanation:

what that means :

side a of A = f × side a of B

side b of A = f x side b of B

side c of A = f x side c of B

perimeter of A = f x perimeter of B

for any more details there has to be more information.

Answer:

30.5555555556

Step-by-step explanation:

Answer:

Finally I can answer omg been trying to answer for a while but that bot was holding me back Lol

Answer: 286

Step-by-step explanation:

25 × 16 = 400 19 × 6 = 114 400 - 114 = 286 therefore 286 is the answer hope that helps!

Step-by-step explanation:

R= 2,045.1071428571 espero sea lo que necesitas :)

Answer:

minimum- 19

first quartile - 26.5

median - 29

third quartile - 31

maximum - 40

Step-by-step explanation:

Answer:

435555

Step-by-step explanation:

331

Answer:

The florist sold 270 flowers.

Step-by-step explanation:

Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:

4 x 25 + 1 x 30 = 130

8 x 25 + 2 x 30 = 260

12 x 25 + 3 x 30 = 390

12 x 20 + 3 x 10 = X

240 + 30 = X

270 = X

Therefore, the florist sold 270 flowers.

Answer:

Step-by-step explanation:

P = 65.4

not sure about area Sorry

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

Answer:I cant see anything

Step-by-step explanation: laptop is too cracked

Answer:

Step-by-step explanation:

You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:

y = -.36(22) + 12.6 and

y = -7.92 + 12.6 so

y = 4.68F

Answer:

What's the question?

Step-by-step explanation:

Answer:

Kerry groomed more cats per hour and is faster.

Step-by-step explanation:

Kerry groomed 1.5 cats an hour and Watson groomed 1.25 cats per hour.

Answer:

1. Arc BC = 78°

2. Arc ABC = 180°

3. Arc ADB = 258°

4. Arc EC = 102°

Step-by-step explanation:

Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.

Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.

Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.

Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.

Answer:

Acute

Step-by-step explanation:

An obtuse angle is wider and more open than 90 degrees. acute angles are smaller than 90 degrees. Think of it like a book. If it looks like is half way open, it is acute. If it looks like it is almost completely open, it is obtuse. A right angle is 2 lines that make a 90 degree angle. Shown Below.

I

I                                                           <-------Right angle

I

I  ___________

Answer:

acute angle

Step-by-step explanation:

a straight angle is 180 degrees (a straight line) so its not a straight angle

a right angle has a 90 degree, this does not so its not a right angle

An obtuse angle has a measurement greater than 90 degrees, this does not,

so via process of elimination we know this is an acute angle

Answer:

1) Statistic

2) Statistic

3) Statistic

4) Parameter

Step-by-step explanation:

Took test and got it right

Parameter or Statistic to classify each statement:

1. Statistic

2.Statistic

3. Statistic

4. Parameter

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean). The goal of quantitative research is to understand characteristics of populations by finding parameters.

1. 85% of the golf teams surveyed have teammates that can break 80.

This only refers to the surveyed people, so this only refers statistic statement.

2. According to the survey, each member of the soccer team has an average of 2 jerseys.

As in this case, the soccer team is considered as sample  then this is a statistic.

3. Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.

Here the information is about the sample (only 28 swim teams). So here this is statistic.

4. Basketball teams in the district have won at least 3 games for every 5 they have played

Here the information is about the number of games win, which was taken from whole population in this case this is parameter.

Learn more about this concept here:

https://brainly.com/question/23529032

#SPJ2

Answer:

Step-by-step explanation:

take 26 degree as reference angle

using cos rule

cos 26=adjacent/hypotenuse

0.89=x/69

0.89*69=x

61.41=x

61.4=x

aaaaaaaaaaaasaaaaaaaaaaaaa