a hamburger regularly cost $6.00 each additional topping cost $0.59. on Monday the cost of hamburger only is half off

​

The null hypothesis is rejected thus there is a significant difference in the incidence of lung cancer in all four groups.

When the p-value is less than 0.05, the null hypothesis that there is no difference between the means is rejected, and we come to the conclusion that there is a significant difference. The existence of a significant difference cannot be inferred if the p-value is higher than 0.05.

The null hypothesis in the given scenario was that all four groups will have the same incidence rate of lung cancer which is rejected.

An assertion that there is no correlation between two population measures is referred to as a null hypothesis. To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

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The difference between an independent sample and a dependent sample is that the dependent sample for one set of items is paired measurement while measurements made on two samples are termed an independent sample.

In statistics, while considering two samples and conducting a hypothesis test, one should be aware of which type of test should be conducted based on samples whether they are dependent or independent. If the value of another sample is affected by any one sample then the samples are dependent. If no information can be deduced from the other sample using one sample then the samples are independent.

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Answer:

bro u find it

Step-by-step explanation:

we use the pooled proportion when we calculate the standard error for the difference in proportions when performing a hypothesis test  whne When the variances of both populations are the same

The standard error for the distinction within the proportions is calculated utilizing the population proportions but in cases where the population proportions are unknown, we utilize the test proportions to calculate the standard error. In the case of hypothesis testing, we are mindful of the population proportions whereas in evaluating the confidence interval for the distinction between the proportions we have no thought of the population proportions. So, the standard error for a hypothesis test of distinction in two proportions is distinctive from the standard error for a certain interval of the difference in two proportion.

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The transformation of g(x) = 3(2)⁻ˣ+2   from the parent function f(x) = 2ˣ    will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up,

What is a transformation function?

A function that transforms one function or graph into another, typically a related function or graph, is called a transformation function.

How to convert the parent function into the transformation function?

The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative. Multiplying by a negative “flips” the graph of the function over the x-axis.

Here, we have

Transformation Function - g(x) = 3(2)⁻ˣ+2

Parent Function - f(x) = 2ˣ

To convert the parent function into the transformation function, we will follow some steps:

Hence, the transformation of g(x) = 3(2)⁻ˣ+2   from the parent function f(x) = 2ˣ   will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up.

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The proportional of price of the drink to the number of ounces is 0.2.

In the given question we have to find the proportional of price of the drink  to the number of ounces.

As given from the table that;

Drink Size (oz)     12                16                20

Price (dollars)       2.40            3.20            4.00

If we find the proportional of price of the drink to the number of ounces. Then;

Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20

Price of the drink/Number of drink =  0.2       = 0.2        = 0.2

So we can see that the proportional of price of the drink to the number of ounces is 0.2.

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Answer:

Yes it is proportional.

The value of the given expression is 9/2 when substituting the values of m = -3, n = 2, and p = -1 in the expression.

The value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.

Given that m = -3, n = 2, and p = -1

The expression is given in the question

⇒ m(p -n)²/ 3p +m

Substitute the values of m = -3, n = 2, and p = -1 in the expression

⇒ -3(-1 -2)²/( 3(-1) +(-3))

⇒ -3(-3)²/(-3-3)

⇒ -3(9)/(-6)

⇒ 27/6

⇒ 9/2

Given that x = 3, y = 2, and z = 4

The expression is given in the question

⇒ (3z + 2x + y)/(4y - 2x + z)

Substitute the values of x = 3, y = 2, and z = 4 in the expression

⇒ (3×4 + 2×3 + 2)/(4×2 - 2×3 + 4)

⇒ (12 + 6 + 2)/(8 - 6 + 4)

⇒ 20/6

⇒ 10/3

Thus, the value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.

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Answer:

3/4,. it's means for every 4 games there's a $3 fee

Step-by-step explanation:

3/4

it's means for every 4 games there's a $3 fee

Answer:

111%

Step-by-step explanation:

£3 × 60 = £180

(35 × £8) + ( 25 × £4) = £380

£380 ‐ £180 = £200

200/180 × 100% = 111% (nearest whole number)

Using the principle of proportional relationship, you can go 165km farther after the trip of 360km with 42L gasoline in the tank.

Consumption rate =[tex]8L[/tex] for [tex]100 km[/tex]

So, per  number of Km per Litre is

[tex]8L = 100km[/tex]

[tex]1 L = x[/tex]

so,

[tex]8x = 100[/tex]

[tex]x=8 \div 100\\[/tex]

[tex]x= 12.5[/tex] kilometer per Litre

Number of kilometers for [tex]42 L[/tex]

[tex]12.5 km = 1 L[/tex]

[tex]y=42L[/tex]

On, Cross multiplying

[tex]y = 12.5\times42[/tex]

[tex]y = 525 km[/tex]

The difference in the distance [tex]= 525 - 360 = 165 km[/tex]

Therefore, the gas can go for a further [tex]165 km[/tex]

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From the diagram, A is the major arc

                               B is the minor sector

                               C is the major segment.

What do you mean by major arc, minor sector, and a major segment of a circle?

      1. Major arc: A significant arc is one that is larger than 180 degrees in measure.

      2. Minor sector: A circle's intercepted arc and two of its radii define a region known as a sector. The center angle is the intersection of the two radii. A minor sector is defined as having a center angle of less than 180°.

The major arc is A significant arc is one that is larger than 180 degrees in measure. So, A is the major arc. The minor sector is defined as having a center angle of less than 180°. So, B is the minor sector. And C has the maximum portion of length so C is a major segment.

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Step-by-step explanation:

[tex](3x + 2) + x = 180 \\ 3x + x = 180 - 2 \\ 4x = 178 \\ x = 44.5[/tex]

Answer:

x° = 44.5°

Step-by-step explanation:

x° and (3x + 2)° are supplementary angles, which means they add up to 180°.

Equation: x + 3x + 2 = 180

Step 1: Combine like terms.

[tex]\implies 4x + 2 = 180[/tex]

Step 2: Subtract 2 from both sides.

[tex]\implies 4x + 2 - 2 = 180 - 2[/tex]

[tex]\implies 4x = 178[/tex]

Step 3: Divide both sides by 4.

[tex]\implies \dfrac{4x}{4}=\dfrac{178}{4}[/tex]

[tex]\implies x = 44.5[/tex]

Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.

[tex]\implies 3(44.5)+2[/tex]

[tex]\implies 135.5[/tex]

Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.

For the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.

As given in the question,

Given equation is equal to :

9 ( x - 4) - 5x = _ x - 30

Simplify Left hand side of the given equation we get,

9 ( x - 4) -5x

= 9x - 36 - 5x

Collect the like terms we have,

9x - 5x - 36

= 4x - 36

Now compare left hand side and right hand side to get no solution of the equation,

4x -36 = _x -30

Blank should be filled by 4

Therefore, for the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.

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The confidence interval is (233.8436; 271.0564).

What is a confidence interval?

The likelihood that a population parameter will fall between a set of values for a specific percentage of the time is referred to as the confidence interval. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

We have,

Sample mean = 252.45

Sample standard deviation = 74.50

n = 64

α = 0.05

By applying the margin of error formula, we get

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval = 252.45 ± 18.6064

= (233.8436; 271.0564)

Hence, the confidence interval is  (233.8436; 271.0564).

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Answer:

Step-by-step explanation:

Distance equation:

If cars move in opposite directions their speeds add up, then the distance between them after 1.5 hours is:

Answer:

After 1.5 hr, they are 3s - 7.5 mi away.

Step-by-step explanation:

Forming the expression,

→ 1.5 × (s + s - 5)

Now the required solution will be,

→ 1.5 × (s + s - 5)

→ 1.5 × (2s - 5)

→ 1.5(2s - 5)

→ 3s - 7.5

Hence, answer is 3s - 7.5 miles.

The neighbour us an amount of $160 for the work that we did for him.

As per the agreement the never will pay 20 dollars were every hour that we work.

We worked for a total of 8 hours on Saturday.

So, according to the unitary method,

Total amount of money owned by the neighbour = number of hours for which we work x the amount received for working per hour.

Total amount of money owned by the neighbour = 8 × 20

Total amount of money owned by the neighbour = 160 dollars.

The total amount of money owned by the neighbour to us is 160 dollars.

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The equation of a line parallel to x - 4y = 36 is x - 4y = 16.

If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.

Now, writing the given equation in slope-intercept form,

x - 4y = 36

4y = x - 36

[tex]y=\frac{1}{4}x-9[/tex]

By comparing it with slope-intercept form, we get

[tex]m=\frac{1}{4}[/tex]

c = -9

Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],

[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]

The equation of parallel line is x - 4y = 16.

Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.

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In order pair (4,9), 9 is the y- coordinate while 4 is the x-coordinate.

The coordinates are the pair of numbers that describe the position of some point in a plane using the horizontal x-axis and the vertical y-axis as the point of reference. The representation of this coordinate is usually done by (x,y) where x represents the point's reference with respect to the x-axis and y represents the point's reference with respect to the y-axis. There are four quadrants in the graph which are named quadrant 1, quadrant 2, quadrant 3, and quadrant 4. In quadrant 1 both the x and y-axis is positive, in quadrant 2 x-axis is negative and the y-axis is positive, in quadrant 3 both the x and y-axis are negative, and in quadrant 4 x-axis is positive while the y-axis is negative.

I hope this answer helps

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Answer:

9

Step-by-step explanation:

Remember that all points have the form, [tex](x,y)[/tex].

Soo in this problem,

                    [tex]\begin{cases}\text{4 is the x-coordinate}\\\text{9 is the y coordinate}\end{cases}[/tex]

Thus, The y-coordinate is 9!!

The set which is equivalent and equal to the given set; {1, 2, 3, ...} is; Z+.

It follows from the task content that the set which is equivalent to the given set; {1, 2, 3, ...} is to be determined.

Since the numbers in the set are all integers and which happen to be positive integers.

Hence, the best representation of a set which is equivalent to the given set as given in the task content is; Z+.

The set of positive integers is represented as Z+. It implies all the integers greater than 0.

Hence, the set which is equivalent to the given set; {1, 2, 3, ...} is; Z+.

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No. of par-3 holes be represented by = 5

No. of par-4 holes be represented by = 8

No. of par-5 holes are represented by = 5

Total number of courses in the club= 18 (given in the question)

Total shot taken by golfer=72 (given in the question)

Let par-3 holes be represented by t

Let par-4 holes be represented by f

Let par-5 holes be represented by v

forming equations:

f+2=2v

t=v

f + v + t = 18

f+2=2v

f=2v-2 -(i)

t=v -(ii)

f + t + v=18

putting values from (i) and (ii)

(2v-2) + v + v=18

2v-2+2v=18

4v=18+2

4v=20

v=20/4

v=5

Number of par-5 holes=5

from (i)

f=2v-2

putting value

f=2(5)-2

f=10-2

f=8

Number of par-4 holes=8

from (i)

t=v-

putting value

t=5

t=5

Number of par-3 holes=5

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The probability that there will be no repeats on the digits is 0.504.

What is meaning of probability?

The ratio of favorable outcomes with the total number of outcomes is known as probability of that event.

The number of digits of the password is 4.

The numbers from 0 to 9 is 10.

If the digit can repeat, then we can chose first digit in 10 ways, the second digit in 10, third digit in 10 ways and fourth digit in 10 ways.

The total number of ways is 10 × 10 × 10 × 10 =10000.

If the digit can't repeat, then we can chose first digit in 10 ways, the second digit in 9 (because we can't use first digit) , third digit in 8 ways (because we can't use first digit and second digit) and fourth digit in 7 ways(because we can't use first digit, second digit, and third digit).

The total number of ways is 10 × 9 × 8 × 7 =5040.

The favorable outcomes for this event is 5040.

The total number of outcomes is 10000.

The required probability is 5040/10000 = 0.504.

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The value of x that is a counterexample to the student's conjecture is (a) x = -1/4

From the question, we have the following statement that can be used in our computation:

x = Non-negative number

Student's conjecture:

x + 4 < x²

Using the options, we have:

(a) x = -1/4

x + 4 < x²

-1/4 + 4 < (-1/4)²

3.75 < 1/16 -- false

(b) x = -4

x + 4 < x²

-4 + 4 < (-4)²

0 < 16 -- true

(c) x = 1

x + 4 < x²

1 + 4 < (1)²

5 < 1 -- false

This cannot be used because x is non-negative

(c) x = 4

x + 4 < x²

4 + 4 < (4)²

8 < 16 -- true

The false statements are the counterexamples

Hence, the value of x is (a) x = -1/4

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Complete question

Given that x is a nonnegative number, a student conjectured that x + 4 < x². Which value of x is a counterexample to the student's conjecture?

Responses

A. ​ x=−1/4 ​

​B. ​ x=−4 ​ ​

C. x = 1

D. x = 4

Answer: 9/2

Step-by-step explanation: Hope this helps.

Answer:

Your answer is 17.5 hours

Step-by-step explanation:

Simply multiply 2.5 and 7 to get your answer.

You have to multiply the number of hours by the number of days to get the correct product or answer.

The profit made from the business that receives an initial $100 investment are as follows;

1. The amount received from the investment is $15

2. The number of lawns that should be mowed to buy the switch is 23 lawns

3. The profit made from the business considering the cost and the initial investment of the parents is $170

An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.

The amount invested = $100

The amount desired as return = 10% of the amount made from the business

1. The amount charged per lawn = $15

The number of lawn mowed = 10

The revenue of the business = 10 × $15 = $150

The amount paid as return on investment = 10% × $150 = $15

2. The amount required to buy the switch = $300

The number of lawns to be mowed, n, is therefore;

300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n

300 = 13.5·n

n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)

The number of lawns to be mowed is 23 lawns

3. The revenue from mowing 20 lawns is 20 × $15 = $300

The amount received by the investing parents = 10% × $300 = $30

The amount received from the parents investment = $100

The profit made after 20 lawns = $300 - $30 - $100 = $170

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William will arrive home at 16:45, it will take 45 min to reach home.

Given, that William leaves work at 16:00

Distance from work to home is 36 kilometres

Also, he drives at an average speed of 48 km/hr

Now, using distance-speed relation to find the time

So, as we know Distance = Speed × Time

On putting the values of distance and speed, we get

36 km = 48 km/hr × Time

On dividing both the sides by 48, we get

36/48 = (48×Time)/48

36/48 = Time

Time = 0.75

Hence, he will take 0.75 hr to reach home.

0.75 hr ≈ 45 minutes

As, 1 hr = 60 minutes

0.75 hr = 0.75 × 60 = 45 minutes

So, William will arrive home at 16:45

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Answer:

60°

Step-by-step explanation:

As we can conclude from the equal measured side lengths, this is an equilateral triangle so all angles have equal measurement.

Since the sum of interior angles in a triangle is equal to 180 to find the measure of angle V we need to divide 180 by 3:

180 ÷ 3 = 60

The probability that a designer does not prefer red is 0.77.

Probability (event) = favorable outcome / total outcome

Total primary color designers = 400.

The number of opinions for red = 92

The probability for designer prefer red = 92 /100

The probability for designer prefer red = 0.23

Then, the probability that a designer does not prefer red = 1 - 0.23

The probability that a designer does not prefer red = 0.77

Thus, the probability that a designer does not prefer red color = 0.77.

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The correct question along with table is attached-