If the total bill was $42.50 and you tipped 15%, how much would the TIP be?

To find only one fake coin from 8 coins can be done in two weighings.

Divide the coins into three groups, A, B, and C, each consisting of three coins.

A and B are first weighed against one another. If the balancing scale is straight, fake coins belong in group C; otherwise, they belong in A or B, depending on which side of the scale is up.

Finding the lighter fake coin requires a second weighing if the first weighing indicates that the fake coins are in group C. Weigh any two phony coins from the group if A/B. The third coin is phony if the scale is balanced; else, choose the coin that is lighter.

For 3 weighing, make pair of 4 and followed by pair of 2 for the lighter group. At last, compare the last 2 coins to find the lighter coins.

8 → 4 →2 →1

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

C. The height of a student and the day of the month a student was born.

Step-by-step explanation:

The day you were born does not have any effect on your height later in life. However, all of the other answers correlate with each other.  

Answer:

$0.75

Step-by-step explanation:

3.75 divided by 5= $0.75 for 1 pound of food for the puppy.

Answer:

Photosynthesis is

Step-by-step explanation:

The process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.

Hope this answered your question :)

Answer:

the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

And here is my email address vikrant:

(nobdy else needs this, just vikrant 'k.)

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

a) To calculate the margin of error for the first high school student, we can use the formula:

Margin of error = z* (standard error)

where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence, and the standard error is given by:

standard error = sqrt[(p-hat * (1-p-hat))/n]

where p-hat is the sample proportion, and n is the sample size.

Given that the sample size is n=178, and the sample proportion is p-hat = 0.69, the standard error is:

standard error = sqrt[(0.69*0.31)/178] = 0.042

To find the critical value z* for a 95% confidence interval, we can look up the value in the standard normal table. Since we want a two-tailed confidence interval, we need to divide the level of significance (1 - 0.95 = 0.05) by 2, resulting in an alpha level of 0.025. Looking up the corresponding z-score, we find:

z* = 1.96

Therefore, the margin of error for the first high school student is:

Margin of error = 1.96 * 0.042 = 0.0828 ≈ 0.083 (to 3 decimal places)

b) To calculate the margin of error for the second high school student, we can follow the same procedure as above, using the sample size n=178 and the sample proportion p-hat = 0.83. The standard error is:

standard error = sqrt[(0.83*0.17)/178] = 0.038

The critical value z* for a 95% confidence interval is still 1.96, so the margin of error is:

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

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Answer:

28 a  −  3 y  +  4

James has $37.67 now after all his expenses

James had $x, his brother had $y, and his sister had $z when the morning began.

By using algebra,

James's sibling had twice as much money as James.

Now, x =y/2..... (i)

James had $27 fewer dollars than his sister did.

So, x = z - 27 ........ (ii)

⇒  {From equation (1)}

⇒ y/2 = z -27

⇒ y = 2z - 54

⇒ 2z - y =54 ..........(3)

Now, James and his sister each received $12 from his brother.

James now has $(x + 12), his brother now has $(y -24), and his sister now has $(z + 12).

Given that James' sister has twice as much money as James' brother after payoff,

So, z+12/2 = y-24

⇒ z + 12 = 2y - 48

⇒ 2y - z = 50 ......... (4)

The result of resolving equations (3) and (4) is

3y = 54 + 100 = 154

⇒ y =  51.33.

The result of equation (3) is now z = 52.67.

And from equation (1), x = 51.3/2= 25.67

So, now, James has (25.67 + 12) = $37.67

Hence, James has $37.67 now after all his expenses

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The equation of proportion is y equals 2 over 9 x and , y = ( 2/9 )x

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

where y varies directly with x, and y is 16 when x is 72

So , when x = 72 , y = 16

y = kx

16 = k ( 72 )

Divide by 72 on both sides , we get

k = 16 / 72

k = 2/9

Therefore , the value of A is y = ( 2/9 )x

Hence , the equation is y = ( 2/9 )x

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Systematic sampling is a sampling plan that selects every nth item from the population. Therefore the correct option is (d) Systematic

Systematic sampling is a statistical sampling method that involves selecting every nth item from the population to create a representative sample. This sampling method is useful when the population is large and ordered in some way, such as in a list or sequence.

To conduct a systematic sample, researchers select a starting point at random and then choose every nth item from that point forward until the desired sample size is reached. The advantage of systematic sampling is that it is simpler and more efficient than other sampling methods, such as simple random sampling, while still providing a representative sample of the population.

Therefore, the correct option is (d) systematic

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Answer:

\(57-12x\)

Step-by-step explanation:

In the first part you would distribute the negative

\(-(-9-6x) \\-(-9) = --9 = +9 = 9\\-(-6x) = --6x = +6x = 6x\)

So right now you have

\(9+6x+6(8-3x)\)

Now you distribute the 6

\(6(8) = 6 * 8 = 48\\6(-3x) = 6*-3x = 6* -3 * x = -18x\)

Your equation now looks like

\(9+6x+48-18x\)

Combine like terms

\(6x-18x = -12x\\9+48 = 57\)

Your answer is

\(57-12x\) aka \(-12x + 57\)

\(\huge\text{Hey there!}\)

\(\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}\)

\(\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}\)

\(\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

\(x=7\text{ and } m\angle KLM = 34^\circ\)

Step-by-step explanation:

We are given ethat KM and JN are parallel.

And we want to find the value of x.

Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:

\(m\angle JKM + m\angle LKM = 180\)

We know that ∠JKM measures (14x + 8). Substitute:

\((14x+8)+m\angle LKM =180\)

Solve for ∠LKM:

\(m\angle LKM = 172-14x\)

Next, since KM and JN are parallel, by the Corresponding Angles Theorem:

\(\angle JNM \cong \angle KML\)

Since we know that ∠JNM measure (10x + 2), we can conclude that:

\(m\angle KML = 10x+2\)

Next, recall that the three interior angles of a triangle must total 180°. Therefore:

\(m\angle KLM + m\angle LKM + m\angle KML = 180\)

Substitute:

\((5x-1)+(172-14x)+(10x+2)=180\)

Solve for x. Rewrite:

\((5x-14x+10x)+(-1+172+2)=180\)

Combine like terms:

\((1x)+(173)=180\)

Therefore:

\(x=7\)

To find ∠KLM, substitute in 7 for x and evaluate. So:

\(m\angle KLM = 5(7) - 1 =34^\circ\)

From Shamma's study, there are 14 people in her sample. How many people were in Shamma's sample? Shamma's sample consists of 14 people.

Explanation: We can find the answer in the given text, which is the number of people in Shamma's sample.

The sentence that holds the answer is: "We conducted a one-tailed, one-sample t-test comparing the sample mean BDI score (28.4) against a population mean of 24, t(14) = 2.25, p = 0.021." We see that the value of t is in brackets with a value of 14.

Therefore, there are 14 people in Shamma's sample. Now, let's write the null hypothesis and an alternative hypothesis.

Null Hypothesis, H0: H0: μ = 24, There is no significant difference between the sample mean BDI score and population mean. Alternative Hypothesis, Ha: Ha: μ > 24, There is a significant difference between the sample mean BDI score and population mean.

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The sample mean is greater than the population mean i.e., μ > 24.

There were 15 people in Shamma's sample.

Shamma randomly gives the Beck's Depression Inventory (BDI) to a group of her patients.

After analyzing the One Sample T-test from her study she writes:

We conducted a one-tailed, one-sample t-test comparing the sample mean BDI score (28.4) against a population mean of 24, t(14) = 2.25, p = 0.021.

The value given in the bracket is 14.

As we know that N-1 is used as the degrees of freedom, so the number of people in Shamma's sample is:

\(N-1 = 14N = 14 + 1 = 15\)

Thus, the number of people in Shamma's sample is 15.

The null hypothesis for Shamma's study would be:

H0: The sample mean is equal to the population mean i.e., μ = 24.

The alternative hypothesis for Shamma's study would be:

HA: The sample mean is greater than the population mean i.e., μ > 24.

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The answer to the given expression is \(\frac{1}{3}\).

A number system is defined as a method of writing numbers. It is the mathematical notation for consistently expressing numbers from a specific set using digits or other symbols.

It represents the arithmetic and algebraic structure of the figures and offers a unique representation of each number.

As per the question, we have the expression:

\(((27)^\frac{2}3} )^{-\frac{1}{2}}\)

Multiply the exponents into the expression,

\((27)^{\frac{2}{3} \times{-\frac{1}{2}}\)

Reduce the likewise terms,

\((27)^{-\frac{1}{3}}\)

\(\dfrac{1}{(27)^{\frac{1}{3}}}\)

\(\dfrac{1}{3}\)

Thus, the answer to the given expression is \(\frac{1}{3}\).

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Answer:

Step-by-step explanation:

\(\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5\)

Answer:   \(3\sqrt{6}\)

Step-by-step explanation:

\(\sqrt{9}\) × \(\sqrt{3}\) × \(\sqrt{2}\) = \(\sqrt{54}\)

                    = \(3\sqrt{6}\)

Answer:

Step-by-step explanation:

The value of 1 cm : 1 km is 6.66666667e-7

The ratio expression is given as:

1 cm : 15 km

Convert km to cm

So, we have

1 cm : 1 km = 1 cm : 1500000 cm

Express as quotient

1 cm : 1 km = 1 cm/1500000 cm

Evaluate the quotient

1 cm : 1 km = 6.66666667e-7

Hence, the value of 1 cm : 1 km is 6.66666667e-7

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The value of cosθ is 24/25

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

cosθ = adj/hyp

sinθ = opp/hyp

Tanθ = opp/adj

This ratio is only applicable to right angle triangle.

In the triangle taking the acute angle as a reference, the opposite side to the angle is 7 and the adjascent is 24 while the hypotenuse is 25

Therefore ;

cosθ = adj/hyp

= 24/25

Therefore the value of cosθ is 24/25

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Answer: 25km/h

Step-by-step explanation:

Theyre going to Beast Island which is said to be hilly. We can say their average speed is 20km/h. They are also returning which means they are now going downhill. The rate for going downhill was said to be 30km/h. The average between any two things is adding their value and dividing by 2

20 + 30 = 50

50/2 = 25

Answer:

x = 12

I apologize if it is wrong.

The area of the picture frame 72 cm². Therefore, option C is the correct answer.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, a bigger outer rectangle has sides of 12 cm and 10 cm.

So, the area of a outer rectangle = 12×10

= 120 cm²

An inner rectangle has sides of 8 cm and 6 cm

The area of a inner rectangle = 8×6

= 48 cm²

The area of the picture frame = 120-48

= 72 cm²

Therefore, option C is the correct answer.

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Answer: C | 72 square centimeters

Step-by-step explanation:

The answer is C. 72 square centimeters. The area of the picture frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 120 square centimeters (12 x 10). The area of the inner rectangle is 48 square centimeters (8 x 6). Therefore, the area of the picture frame is 120 - 48 = 72 square centimeters.

Answer:

D vote brainliest

Answer:

answer is 20................................