What a deal! Just deShirts is having a 20% off sale. Trixie rushes to the store and buys 14 shirts. When the clerk rings up her purchases, Trixie sees that the clerk has added the 5% sales tax first, before taking the discount. Trixie wonders whether adding the sales tax before the discount makes her final cost more than adding the sales tax after the discount. Without making any calculations, make a conjecture. Is Trixie getting charged more when the clerk adds sales tax first? The next few problems will help you figure it out for sure.

Does it matter if sales tax is added before the discount or after her final total? (Yes or no AND why or why not?)

The statement "If the null hypothesis is rejected by a one-tailed hypothesis test, then it will also be rejected by a two-tailed test" is false.

If the null hypothesis is rejected by a one-tailed hypothesis test, it does not necessarily mean that it will also be rejected by a two-tailed test. In a one-tailed test, the rejection region is located in only one tail of the distribution, while in a two-tailed test, the rejection region is divided between both tails of the distribution.

Therefore, the decision to reject the null hypothesis in a one-tailed test is based on evidence of an effect in a specific direction, whereas in a two-tailed test, it requires evidence of an effect in either direction. Consequently, a rejection in a one-tailed test does not automatically imply rejection in a two-tailed test.

Learn more about null hypothesis https://brainly.com/question/32456224

#SPJ11

Answer:

7 Child Tickets

Step-by-step explanation:

9.60 * 3 = 28.80

28.80 + 6.30 = 35.10

1017.90 / 35.10 = 29

29 / 4 = 7.25 = 7

Answer:

(3x)⁰÷5‐²

1 ​÷5‐²

5² ​ ​

25

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

To know more about laws of physics refer here:

https://brainly.com/question/13966796

#SPJ11

The area of the region enclosed by the curve y=8x, y=\(4x^{2}\) is 64/6 square units.

Given that the curves are y=8x, y=\(4x^{2}\).

We are required to find the area of the region enclosed by both the curves.

We have to first find the intersection point of both the curves.

y=8x---------1

y=\(4x^{2}\)---------2

From 1 & 2

8x=4\(x^{2}\)

\(4x^{2} -8x=0\)

4x(x-2)=0

4x=0, x-2=0

x=0,x=2

Use the value of x in 1

y=8*2

=16

Point will be (2,16).

Area will be the area from (0,0) and (2,16). We have to integrate with respect to x and take range from 0 to 2.

Area=\(\int\limits^2_0 {8x-4x^{2} } \, dx\)

=\([8x^{2} /2-4x^{2} /3]_{0} ^{2}\)

=\(8*(2)^{2}/2-4(2)^{2} /3-0\)

=(8*4)/2-(4*4)/3

=32/2-16/3

=(96-32)/6

=64/6 square units

Hence the area of the region enclosed by the curve y=8x, y=\(4x^{2}\) is 64/6 square units.

Learn more about area at https://brainly.com/question/25965491

#SPJ4

a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft

1) we calculate the volume of the first carton:

volume=length x width x height

volume=3 ft * 3 ft * 1 ft=9 ft³

Therefore:

A machine can fill 9 ft³ in 3 seconds.

2) we calculate the volume of the second carton.

volume=length x width x heigth

volume=4 ft * 4 ft * 6 ft=96 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

9 ft³---------------------3 seconds

96 ft³--------------------      x

x=(96 ft³ * 3 seconds) / 9 ft³=32 seconds.

Hence , a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft

learn more about of measurement here

https://brainly.com/question/1243504

#SPJ4

Answer: D.

Step-by-step explanation:

If the triangle PQR has sides from biggest to smallest 3,4,5 we need another triangle with a similar ratio to compare it to.

9/3= 3  12/3=4   15/3=5

So the answer is D because I can divide all the sides of the new triangle by the same number to get the sides of triangle PQR

Answer:

Step-by-step explanation:

Given

ΔPQR has sides ratio 3 : 4 : 5

ΔLMN should also have same ratio and the ratio of corresponding sides should be same.

Let's verify the options:

A. 2 : 3: 4

B. 6 : 7 : 8

C. 8 : 15 : 17

D. 9 : 12 : 15

Answer:

x = 0, -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

x² + 7x = 0

Step 2: Solve for x

\(\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}\)

ok done. thank to me :>

An isoquant is a curve that represents all the various combinations of two factors of production that can produce a particular level of output. The formula for the given production function is

F(k,l)=.75L+K, where Q=1. Now, we will draw the isoquant for the given function.

The graph of the isoquant will be plotted with the help of two axes, K and L, where K represents capital, and L represents labor.

Steps to draw the Isoquant for the given production function F(k,l)=.75L+K:

Here's the graph of the Isoquant for the given production function:

F(k,l)=.75L+K where Q=1:

f(k, l) = 0.75L + Kf(k, l) = 0.75L + KQ = 1

Isoquant1 = 1; K = 1 - 0.75L0.75(4) + 1 = 1 + 0.75(0)1 + 0 = 0.75(3) + 1= 1 + 2.25

Isoquant0.75(1) + 1 = 1 + 0.75(2)0.75 + 1 = 1 + 1.5= 1 + 0.75(1)

Isoquant0.75(0) + 1 = 1 + 0.75(4)1 + 0 = 3

isoquant's graph indicates the various combinations of two factors of production, labor, and capital, that can produce a particular level of output, Q = 1.

Know more about Isoquant  here:

https://brainly.com/question/32579167

#SPJ11

Step-by-step explanation:1,200x 0.06 interest= 72.

She paid it over the course of 9 months, so 72x9= 648.

Mira pay $1,254 the bank back all together.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

Mira borrowed $1,200 from the bank to help pay rent.

And, The bank charged 6% interest over 9 months.

Now, We know that;

⇒ Simple interest = PRT / 100

Where, P is principle amount, R is rate and T is time.

So, We get;

⇒ Simple interest = PRT / 100

⇒ Simple interest = 1200 × 6 × 9/12 × 1/100

⇒ Simple interest = $54

Hence, The total amount to pay back to bank is,

⇒ Amount = Principle amount + Interest

⇒ Amount = $1,200 + $54

⇒ Amount = $1,254

Learn more about the simple interest visit;

brainly.com/question/2294792

#SPJ2

Answer:

For the regular tax in Pennsylvania, it would be 12 cents or $0.12. For Philadelphia, it would be 4 cents or $0.04. I got these two amounts by multiplying 2 times 6 or 2 percent, aka 0.06 and 0.02. If you added the two together, you would get, $0.16 or 16 cents. You would then add that to the two dollars and end up with $2.16 or two dollars and sixteen cents. I hope this helps.

Step-by-step explanation:

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

Learn more about cube;

brainly.com/question/15420947

#SPJ4

Answer:

2<x<3

Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

For such more questions on Missing value: Indeterminable.

https://brainly.com/question/30389332

#SPJ8

Answer:

i thing is 1

Step-by-step explanation:

Answer:

$1

Step-by-step explanation:

In order to get the sales tax, you have to perform the multiplication operation by multiplying $12 by 8%.

Let x be the sales tax.

x = $12 x 8%

x = 12 x 0.08

x = 0.96

To round off the answer to the nearest cent, you have to look for the last number in the cents' place. If the number is 5 or above, you have to add 1 to the number next to it. If it's below 5, you just have to copy the values.

In the case above, the last number in the cents' place is 6. This is above 5, so we have to add 1 to 9, which will make it 100 cents or $1.

So, the sales tax is $1.

Answer:

y=10,-10

Step-by-step explanation:

you forgot to add the -10

Hope this helps

Answer:

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

2/3

Step-by-step explanation:

Slope = (-1-(-3))/(3-0) = 2/3

Answer:

slope = 2/3

Step-by-step explanation:

equation: y = x2/3 -3

The expected value of the lottery is $680 dollars which is among the options provided.

Expected value of a lottery refers to the amount that an individual will get on average after multiple trials. It is calculated as a weighted average of possible gains in the lottery with the weights being the probability of each gain.

Assuming that in a lottery you can win 2,000 dollars with a 30% probability, 0 dollars with a 50% probability, and 400 dollars otherwise, the expected value of this lottery is $720 dollars. This is because the probability of winning $2,000 is 30%, the probability of winning 0 dollars is 50%, and the probability of winning $400 is the remaining 20%.

Expected value = 2,000(0.30) + 0(0.50) + 400(0.20)

Expected value = 600 + 0 + 80

Expected value = 680 dollars

So, the expected value of the lottery is $680 dollars which is among the options provided.

To know more about Expected value visit:

https://brainly.com/question/28197299

#SPJ11

Answer:

2 between 2 and 4 and 8 between 7 and -1

Answer:

0.5

Step-by-step explanation:

0.472    look at the digit to the RIGHT of the 10ths place if it is >=5   round the 10ths up one    ....    o/w leave it as is

0.472 = 0.5   rounded to nearest tenth

Answer:0.5

Step-by-step explanation: Find the number in the tenth place 4 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.0.472 = 0.5

hmmm let's find hmmm say angle who knows, ∡C, using the law of cosines.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{18^2+14^2-12^2}{2(18)(14)}\right)=\measuredangle C \implies \cos^{-1}\left(\cfrac{ 376 }{ 504 }\right)=\measuredangle C \\\\\\ \cos^{-1}\left(\cfrac{ 47 }{ 63 }\right)=\measuredangle C\implies \cos^{-1}(0.7460317) \approx \measuredangle C \implies 41.75^o \approx \measuredangle C\)

well then, let's now us the law of sines to get hmm say ∡A

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( A )}{18}\approx\cfrac{\sin( 41.75^o )}{12}\implies 12\sin(A)\approx18\sin(41.75^o) \implies \sin(A)\approx\cfrac{18\sin(41.75^o)}{12} \\\\\\ A\approx\sin^{-1}\left( ~~ \cfrac{18\sin( 41.75^o)}{12} ~~\right)\implies A\approx 87.22^o\)

well, if we subtract ∡C and ∡A from the triangle's interior angle sum, we'll get that ∡B ≈ 51.03°.

To cut a 14-inch pizza into three equal area pieces using two parallel cuts placed symmetrically from the center, each piece will have an area of 150.

As we need to cut a 14-inch pizza into three pieces of equal area using two parallel cuts, we have to follow the steps given below

:Step 1: Cut the pizza with a line that goes through the center of the pizza and marks its diameter. This cut separates the pizza into two equal halves.

Step 2: The second cut needs to be made parallel to the first cut and needs to be at a distance of approximately 1/3 the diameter of the pizza from the first cut.

Step 3: Then, the pizza will be separated into three equal area pieces as required. As we have to cut the pizza into three equal area pieces, the area of each piece will be 150 square inches.

Learn more about parallel

https://brainly.com/question/22746827

#SPJ11

Answer:

8

Step-by-step explanation:

8 times 8 = 64

Answer:

Yes, because they both have two sets of parallel lines.

Hope that helps!

Step-by-step explanation:

Answer: it’s the third one

Step-by-step explanation:

The least squares regression quadratic polynomial for the given data points is y = 0.7x^2 + 1.1x + 1.8.

To find the least squares regression quadratic polynomial, we first need to set up a system of equations using the normal equations.

Let xi and yi denote the x and y values of the ith data point. We want to find the coefficients a, b, and c of the quadratic polynomial y = ax^2 + bx + c that minimizes the sum of the squared residuals.

The normal equations are:

nΣxi^4 + Σxi^2Σxj^2 + nΣx^2yi^2 - 2Σxi^3yi - 2ΣxiyiΣxj^2 - 2Σx^2yiΣxj + 2Σxi^2y + 2ΣxiyiΣxj - 2ΣxiyΣxj = 0

Σxi^2Σyi + nΣxiyi^2 - Σxi^3yi - Σxi^2Σxjyi + Σxi^2y + ΣxiΣxjyi - ΣxiyiΣxj - nΣyi = 0

nΣxi^2 + Σxj^2 + nΣxi^2yi^2 - 2Σxiyi - 2Σxi^2y + 2Σxiyi - 2Σxiyi + 2nΣyi^2 - 2nΣyi = 0

Solving these equations yields the coefficients a = 0.7, b = 1.1, and c = 1.8. Therefore, the least squares regression quadratic polynomial is y = 0.7x^2 + 1.1x + 1.8.

To learn more about quadratic polynomial click here

brainly.com/question/28988445

#SPJ11