Train tickets
day return £6.45
monthly saver £98.50
Sue goes to work by train.
Sue worked for 18 days last month.
She bought a day return ticket each day she worked.
A monthly saver ticket is cheaper than 18 day return tickets.
How much cheaper?

Answer:

9

Step-by-step explanation:

Substitute w = 3 into the expression

6w - 9

= 6(3) - 9

= 18 - 9

= 9

When Greg swims at a steady rate of 8 miles per hour, the constant of proportionality is 8.

The ratio connecting two given values in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

For direct proportion, in order to find the value of 'k' in a direct proportionality, use the formula b = ka. From this formula k = b/a. For indirect proportion: To determine the value of 'k' in indirect proportionality, use the formula b = k/a.

Since Greg swims at a steady rate of 8 miles per hour, the constant is 8.

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A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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Answer:

jkl;'

Step-by-step explanation:

Answer:

F. (-4, oo)

Step-by-step explanation:

Start from the left side.

The arrow on the left side shows that the graph continues increasing forever as x decreases. Beginning at the highest value of y you see on the left side at point (-6, 5), as x increases, moving right along the x-axis, the y-values decrease. When you get to x = -4, y is at its lowest value which is 1.

Starting just to the right of x = -4, the y-values begin to increase from the lowest y-value of 1. The arrowhead at the right side top shows that the curve continues increasing forever to infinity.

The values of x for which y increases are all values greater than -4 and all the way to positive infinity.

This function is increasing for x > -4.

Now we need to write x > -4 in interval notation.

In interval notation, use a curved parenthesis to mean a number that is not included. The interval starts at -4, so it starts as

(-4

Then you write a comma to separate from the value where the interval ends.

(-4,

The interval in x of increasing values goes to positive infinity, so now you write the infinity symbol, and you close the interval with a curved parenthesis. By convention, infinity always gets a curved parenthesis. Also, I'll use oo for infinity below.

(-4, oo)

Answer: F. (-4, oo)

Answer:

48°

Step-by-step explanation:

Dilating a figure makes the side lengths proportional but does not change the measure of the angles.

Answer:

Step-by-step explanation:

Comment

First we'll assume that a week includes Saturday and Sunday so the week has 7 days.

Equation

New bank balance = old bank balance - 7*22.50

New bank balance = old bank balance - 157.50 <========

Remark

The equation given above shows that her old balance decreased by 22.5 for 7 days. The bank would not run a statement like the one I gave you. They would take each one of the separate entries and subtract from the previous day's entry. Both entries would have a date and maybe a time associated with them.

Math people do it the way I have done it.

Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.

To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.

Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.

Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.

Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.

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The carpenter needs to buy at least 8 4-foot lengths of wood to make all 60 dowels.

"Foot" is a unit of length commonly used in the imperial system of measurement, which is used primarily in the United States and some other countries. One foot is equivalent to 12 inches or 0.3048 meters. The foot is used to measure height, length, or distance in everyday situations, such as measuring the height of a person or the length of a room. In some contexts, the term "foot" may also refer to the base or lower part of a structure or object, such as the foot of a bed or the foot of a mountain.

In the given question,

To determine the least number of 4-foot lengths of wood the carpenter needs, we need to calculate how much wood is required to make all 60 dowels.

Since each dowel must be 6 inches long, we need a total of 60 x 6 = 360 inches of wood.

Each 4-foot length of wood is equal to 4 x 12 = 48 inches of wood.

Therefore, the carpenter needs 360/48 = 7.5 lengths of wood.

Since the carpenter cannot buy a fractional amount of a length of wood, they will need to buy at least 8 lengths of wood to make all 60 dowels.

Answer: The carpenter needs to buy at least 8 4-foot lengths of wood to make all 60 dowels.

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Answer:

22/9

Step-by-step explanation:

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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x + 3y + 1/2z

(4x + 12y + 2z)/4         <----- Divide the whole expression by 4

Answer:

x=0.4

Step-by-step explanation:

Put both equations equal to each other:

16x+2=7x+6

Now, Solve:

16x+2=7x+6   Set the equation

16x-7x=6-2     Move like terms together

9x=4              Subtract like terms

x=4/9             Simplify

x=0.4             Answer

for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B

Step-by-step explanation:

a probability is always desired cases over total possible cases.

the bag has 4 + 7 + 8 + 6 = 25.

so, when we pick a random M&M we have total 25 possible outcomes.

the desired cases are to pick a green or a blue M&M.

that means these are 7+8 = 15 cases.

the probability to pick one or of the desired cases is

15/25 = 3/5 = 0.6

The maximum probability that a photon with the polarization state will be transmitted through the A filter is 1/2

To solve this problem, we need to use Malus' law, which states that the intensity of light transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incoming light and the axis of the polarizer.

To find the overall probability that a photon will be transmitted through all three filters, we need to multiply the probabilities of each filter

P = 1/2 × cos²(θ) × 1

We are not given the angle θ, so we cannot calculate the exact value of P. However, we can calculate the maximum value of P, which occurs when the rotated filter is aligned with the A filter (i.e., θ = 0). In this case, P = 1/2.

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The given question is incomplete, the complete question is:

H filter Rotated filter Rotated filter followed by A filter An unpolarized photon beam is incident on a linear polarizing filter. The incoming photon flux is is 2.34 x 101 photons/m' /sec.  What is the probability that a photo with the polarization state be transmitted through a subsequent filter, that is aligned with the direction?

Answer:  b

Step-by-step explanation:

I think

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

Based on the information, the aggregate demand will increase $1500 billion

Investment demand is the demand by businesses for physical capital goods and services used to maintain or expand its operations. It is an important component of aggregate demand, which is the total demand for goods and services in an economy.

Investment demand increases by $300 billion.

MPC = 0.80

Multiplier = 1 / (1-MPC)

Multiplier = 1 / (1-0.8)

Multiplier = 1 / 0.2

Multiplier = 5

Multiplier = Change in GDP / Change in investment

5 = Change in GDP / $300 billion

Change in GDP = 5 * $300 billion

Change in GDP = $1500 billion.

Hence, the aggregate demand will increase $1500 billion

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The mean of the given data set is 98.70

To find the mean of the given data set, we need to sum up all the values and then divide the sum by the total number of values.

Sum of the values = 23.4 + 35.6 + 73.1 + 58.0 + 18 + 723.4 + 35.6 + 73.1 + 58.0 + 18.7 + 33.8 + 33.8 = 1184.5

Total number of values = 12

Mean = Sum of values / Total number of values = 1184.5 / 12 =98.708

To round the answer to the nearest hundredth, we look at the digit in the third decimal place, which is 3. Since this digit is less than 5, we round down the second decimal place, giving us the final answer of:

Rounding to the nearest hundredth, we get the mean as 98.708

Therefore, the mean of the given data set is 98.70

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Using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

An arithmetic contrast among two numbers is known as a percentage. Two sets of provided numbers are considered to be approximately equal with respect to one another in conformity with the rules of proportion if they increase or decrease by the same ratio.

We must create the equation to prove the equality by utilizing each of the numerals 1 through 9 once. Any of the numbers between 1 and 9 are equivalent to 1 and 2.

Let the ratio equal 1.

The comparable ratios are therefore 1:1, 2:2, and 3:3.

2:2 = 3×3:9 = 4×4 =16

Therefore, using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

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Answer:

She slept 1020 minutes in total.

Step-by-step explanation:

Answer:

1,020 minutes.

Step-by-step explanation:

\(\huge\underline\mathcal\pink{₳₦₴₩ɆⱤ:-}\)

Biconditional statements do not use the key words 'if' and 'then.' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if.'

For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis). If you figured out that both the conditional and converse statements have to be true for a biconditional statement to exist in geometry, you are correct. It's like a reversible jacket; you can wear it on both sides.

Let's rewrite our last example:

Conditional statement: If a polygon has three sides, then it is a triangle.

Converse statement: If a polygon is a triangle, then it has three sides.

Since both are statements are true, we can go ahead and make our biconditional statements:

A polygon is a triangle 'if and only if' it has three sides.

A polygon has three sides 'if and only if' it is a triangle.

Since we can write two biconditional statements, we could also define them as compound statements, since both the conditional and the converse statements have to be true. Let's practice some more.

Answer:

21.53 m

Step-by-step explanation:

We can obtain the angle C;

C + 104.3 + 31.3 = 180 ( sin of angles in a triangle)

C = 180 - (104.3 + 31.3)

C = 44.4°

Using Sine rule :

c / sinC = a / sin A

Cross multiply :

c * sin44.4 = 29 * sin 31.3

c * sin44.4 = 15.066054

c = 15.066054 / sin 44.4

c = 15.066054 / 0.6996633

c = 21.533291

c = 21.53 m

Answer:

(x,y) -> (-y,x)

Step-by-step explanation:

You get the coordinates of the image provided and apply them to the rule so...

(-3,1) to (-1,-3)

(-2,-4) to (-4,2)

(-4,-4) to (4,-4)

Then, connect the points.

PLZ MARK BRAINLIEST!!!

Respuesta:

la tapa mide 6 centimetros,sobre la tabla aumenta de 6 en 6

Explicación paso a paso:vas dividir 24 que es el valor de el perimetro entre 4 porque es la cantidad de lados al dividirlo te va a dar 6 que indica que aumenta de 6 en 6 tambien en la tabla cuando son 4 lados son 24 de perimetro y en el siguiente viene que 5 son 30 :)

ojala te ayude friend :-}

Answer:

No, she made mistake from step 3, going to step 4

Step-by-step explanation:

See attachment for complete expression and Tisha's steps

Required

Is she correct?

The steps up to step 3 is correct.

However, going to step 4; she made a mistake

Her expression is:

Step 3: \(90 - 2 * 3\)

The correct step is to multiply 2 by 3 (using BODMAS)

This will give:

\(90 - 6\)

\(84\)

But instead she evaluated the subtraction first, which is incorrect.

Answer:

x = -1

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

3 + 5 + 4 + 3 + 5 + 6 = 26

26/6 = 4 2/6 (4 1/3)

Answer:

13/3

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of terms

( 3+5+4+3+5+6) /6

26/6

Divide top and bottom by 2 to simplify the fraction

13/3

Answer:

o travel 650 miles the bus will need 26 gallons of gas.

Step-by-step explanation:

First we find how many miles travel the bus on one gallon of gas:

300/12=25 miles.

Second we find how many gallons will it need to travel 650 miles:

650:25=26 gallons of gas.