Suppose Jeff the cat has a gift certificate for a haircut. After the haircut. He
wants to leave an appropriate tip for the hairdresser. The receptionist says he
should leave exactly $3 if he wants the tip 20% of the price of the haircut.
What was the price of the haircut?

We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

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Answer: (-0.5, 3)

Step-by-step explanation:

     The solution of two graphed linear functions is the point of intersection, also known as the point the lines cross each other. See attached for a visual. These lines intersect at point (-0.5, 3) which means our answer is;

                (-0.5, 3)

Answer: D) x=-7 and x-1

Step-by-step explanation:

Solve by factoring

x^2+7x+x+7  <-- +1 and +7 add to 8 and multiply to 7

x(x+7)+(x+7)

(x+7)(x+1) = 0

x + 7 = 0

= -7

x + 1 = 0

x = -1

Therefore the solutions are x=-7 and x-1

Answer:

Original Price = $47,400

New Price= $47400*86/100= $40 764

The IQ test scores have a bell-shaped distribution. About 68% fall within one standard deviation of the mean, 95% within two, and 99.7% within three.

The IQ test scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 19. Applying the empirical rule, we can estimate the ranges within which the majority of scores fall. Approximately 68% of the scores will be within one standard deviation of the mean, meaning between 81 and 119. Roughly 95% of the scores will fall within two standard deviations, ranging from 62 to 138.



Finally, about 99.7% of the scores will be within three standard deviations, spanning from 43 to 157. These ranges provide a general understanding of the distribution and help identify where most IQ scores are likely to be found.



Therefore, The IQ test scores have a bell-shaped distribution. About 68% fall within one standard deviation of the mean, 95% within two, and 99.7% within three.

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Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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Answer:

\(\huge\boxed{\sf x=\frac{2}{y-f}}\)

Step-by-step explanation:

xy - fx = 2

Take x common

x(y - f) = 2

Divide y-f to both sides

\(\displaystyle x=\frac{2}{y-f} \\\\\rule[225]{225}{2}\)

Answer:

320 "if rounded"

Step-by-step explanation: you find out what number times itself equals 6500 which is 80.623 "rounded to 80" then you add up all the sides "80+80+80+80" or "8x4"  which would be 320 but you have to do nearest tenth so your answer would be 322.4.

Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

pls rate as brainliest

Answer:

LD's average monthly income is $740.

Answer:

None

Step-by-step explanation:

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.Then, (S) = Number ways of selecting 3 students out of 25C3=2300

n(E) = (11C1×14C2)= 1001 P(E) = 1001/2300

Ur welcome :)

Answer:

vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb

Step-by-step explanation:

The percentage of Americans over the age of 65 has increased while the percentage of Americans under the age of 18 has decreased .

The United Stats of America is one of the countries that is known to have a very good health care system. This implies that, there has ben a very huge improvement in the health care of the population of the United States.

As a result of this improvement in the healthcare of the people of the United States, the percentage of Americans over the age of 65 has increased while the percentage of Americans under the age of 18 has decreased .

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The solution of system of equations is (6,-2) or (0,6)

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

(6,-2) and (0,6)

The given line graph has coordinates (6,-2) and (0,6)

The given table of values contain the same points (6,-2) and (0,6)

So, the solution of system of equations is (6,-2) or (0,6)

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Answer:

the quotient of Three-fourths and StartFraction 5 Over 6 EndFract is \(\frac{9}{10}\)

Hence Option B is correct.

Step-by-step explanation:

We need to find quotient of Three-fourths and StartFraction 5 Over 6 EndFract

Writing in mathematical form: \(\frac{3}{4} \div \frac{5}{6}\)

Solving, we get

(Converting division sign into multiplication the term is reciprocated so, 5/6 will become 6/5 )

\(\frac{3}{4} \div \frac{5}{6}\\=\frac{3}{4} \times \frac{6}{5}\\=\frac{3}{2} \times \frac{3}{5}\\=\frac{9}{10}\)

So, the quotient of Three-fourths and StartFraction 5 Over 6 EndFract is \(\frac{9}{10}\)

Hence Option B is correct.

Step-by-step explanation:

here's the answer to your question

The length of segment a in the given chords is determined as 2.

The measure of length a is calculated by applying the following formula.

Based on the angle of intersecting chord theorem, we will have the following equation.

a x 6 = 3 x 4

6a = 12

divide both sides of the equation by 6;

6a/6 = 12/6

a = 2

Thus, the value of a in the given chords is determined by applying chord theorem.

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Answer:

66

Step-by-step explanation:

it is 66

Answer:

The correct option is;

c.  {(-2, -1), (0, 1), (2, 3)}

Step-by-step explanation:

Given that the points are on a coordinate plane, we have the ordered pair given by the pair that follows a set of rules

In the question, the most appropriate set of coordinates that form an ordered pair are {(-2, -1), (0, 1), (2, 3)}

Each of the x-coordinate term is less than the y-coordinate term by 1, also the points are colinear as the slope between the points (-2, -1) and (0, 1) is the same as the slope between the points (-2, -1) and (2, 3).

0.55 is the probability that a vacationer will visit at least one of these magnificent attractions.

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

50% of the vacationers going to toronto visit the CN tower= 0.5

40% visit skydome= 0.4

35% visit both=0.35

P( At lease one) = P(Toronto) + P(Skydome) - P(Both)

P( At lease one) = 0.4 + 0.5 - 0.35

P( At lease one)  = 0.55

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Answer:

\(x=-3\)

Step-by-step explanation:

'x = -3', when graphed, passes through the point (-3,7) and (-3,0).

Since the line passes (-3,0), the x-intercept is -3.

(-3, 7) lies on the equation.

I have attached a picture of the graphed equation.

'x = -3' should be the correct answer.

Write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).

Answer:

x = -3

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

The up front payment costs $34.5 while the payment per miles driven is $0.5

We are told that when renting a vehicle from Schrader car rental, a customer pays a fee up front, and is also charged for miles driven when they return.

Let the amount paid up front be x and let the amount paid per mile driven be y.

Thus, the equation for Henry will be;

x + 85y = 77   -------(1)

The equation for Marcia will be;

x + 115y = 83   ------(2)

Subtract eq 1 from eq 2 to get;

30y = 6

y = 6/30

y = $0.5

Thus;

x + 85(0.5) = 77

x = 77 - 42.5

x = $34.5

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Complete question is;

When renting a vehicle from Schrader car rental, a customer pays a fee up front, and is

also charged for miles driven when they return. Henry drove 85 miles and his rental bill

was $77. Marcia drove 115 miles and her rental bill was $83.

What is the up fronmt cost and the cost per miles driven

Given:

A number is 74% of 58.

To find:

The number.

Solution:

Let the unknown number be n.

The number n is 74% of 58.

\(n=\dfrac{74}{100}{58}\)

\(n=0.74\times 58\)

\(n=42.92\)

The required equation is \(n=0.74\times 58\) and the solution (unknown number) is \(n=42.92\).

Therefore, the correct option is B.

I am not certain but I think c? if its wrong sorry

The equation is, y = x-2

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the question, we have

y increases by 1 unit with 1 unit increase in x.

The equation is, y = x-2

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \(\pi\) × r² × h

Volume of cylinder = \(\pi\) × 9² × 20

                                = 1620\(\pi\)

                                = 5089.4cm³ (rounded to 1 d.p.)

==================================================

Explanation:

Pick any two rows from the table to form (x,y) points

I'll select the first two rows.

(x1,y1) = (-4,-3) from row 1

(x2,y2) = (0,-2) from row 2

Plug those values into the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-(-3))/(0-(-4))

m = (-2+3)/(0+4)

m = 1/4

The slope is 1/4, which is also the rate of change.

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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