A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45. 99. If there is 7. 25% sales tax, what will the shirt ring up for at the register? a. $17. 26 b. $21. 67 c. $29. 89 d. $32. 06 Please select the best answer from the choices provided A B C D.

The property used is the distributive property of multiplication over subtraction.

The first step involves distributing the coefficient 4 to both terms inside the parentheses: 4(x - 1) becomes 4x - 4.

The second step combines like terms by subtracting 8 from 4x - 4.

In the third step, we subtract 4x from both sides to isolate the variable, using the property of equality.

The fourth step simplifies the expression -4 - 12 to -12, again using the property of addition.

Finally, the fifth step multiplies both sides by -1, which flips the inequality sign and gives us x ≠ 12. This step uses the property of multiplying both sides of an inequality by a negative number.

By following these steps and applying the appropriate properties, we arrive at the final conclusion that x is not equal to 12.

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Therefore, the probability that the sample mean would be less than 150.8 millimeters is approximately 0.9382 (rounded to four decimal places).

To find the probability that the sample mean would be less than 150.8 millimeters, we can use the Central Limit Theorem and standardize the sample mean using the z-score.

First, calculate the standard error of the sample mean:

Standard Error = (Standard Deviation) / sqrt(sample size)

= 7 / √(39)

≈ 1.1172

Next, calculate the z-score:

z = (150.8 - Mean) / Standard Error

= (150.8 - 149) / 1.1172

≈ 1.5363

Now, we can find the probability using a standard normal distribution table or calculator. The probability that the sample mean would be less than 150.8 millimeters is the same as finding the area to the left of the z-score of 1.5363.

Using a standard normal distribution table or calculator, we find that the corresponding probability is approximately 0.9382.

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The statement is not sufficient to determine whether a two-tail test is being conducted based on the null hypothesis alone. Correct answer is false.

The null hypothesis should explicitly specify the parameter being tested and its value, rather than just stating "u₂=200." A two-tail test is conducted when the alternative hypothesis is two-sided, meaning that the researcher is interested in determining whether the parameter is significantly different from the null value in either direction. In this case, we need additional information about the alternative hypothesis to determine if it is two-sided or one-sided.

For example, if the alternative hypothesis is "u₂ ≠ 200," indicating a two-sided alternative, then a two-tail test would be appropriate. On the other hand, if the alternative hypothesis is "u₂ > 200" or "u₂ < 200," indicating a one-sided alternative, then a one-tail test would be conducted.

In summary, the determination of whether a two-tail test is being conducted requires information about the alternative hypothesis in addition to the null hypothesis.

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According to the given data 47% of the fans that attend the event, purchase the peanuts.

The sample collected was among 200 fans which means total fans = 200

out of which 94 fans purchased peanuts which means

Percentage of Fans purchased Peanuts  = \(\frac{94}{200}\)  X 100

                                                                     = 47 %

Not exactly the half of the fans purchased the peanuts but approximately half that is 3% less than 50 % fans puchased the peanuts which implies => 47 % fans purchased peanuts.                

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Answer:

I hope this helps!

An equation of the parabola that passes through the point (3, 8) and has vertex (9, 5) is y = 1/12(x - 9)² + 5.

In this exercise, you're required to write an equation of the parabola in vertex form by using the completing the square method. Mathematically, the vertex form of a parabola is represented by this mathematical expression:

y = a(x - h)² + k

Where:

h and k represents the vertex of the equation.

Next, we would determine the value of a as follows:

8 = a(3 - 9)² + (5)

8 = a(-6)² + 5

8 = 36a + 5

36a = 8 - 5

36a = 3

a = 3/36

a = 1/12

Substituting the given parameters into the equation, we have;

y = a(x - h)² + k

y = 1/12(x - 9)² + 5

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The graph that best shows the line of best fit is graph (c)

A graph that shows the appropriate line of best fit has the following properties:

The graph that satisfies the above highlights is the graph (c)

Hence, the graph that best shows the line of best fit is graph (c)

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Answer:

c

Step-by-step explanation:

Answer:

x = 5/7

Step-by-step explanation:

Here, we want to get the value of x

Firstly, according to indices;

(a^m)^n = a^(m * n) = a^mn

Also;

a^m * a*n = a^(m + n)

a^0 = 1 (any number raised to zero as its power is 1)

And lastly;

a^m divided by a^n = a^(m-n)

So using these we can have;

7^4x = 7^( 2 + 3)/7^3x

7^4x = 7^5/7^3x

7^4x = 7^(5-3x)

Since we have the same bases, we have to equate the powers

4x = 5-3x

4x + 3x = 5

7x = 5

x = 5/7

Answer:

D

Step-by-step explanation:

because the odds have to be even if the possobility number is even

Answer:

Given expression:

You may factor this as follows:

We have the product of x + 8 and y + 3 and we can state that:

Answer: 78.5

Step-by-step explanation:

Formula: A=pi*r^2   or   Area = 3.14*radius squared (by two)

A = 3.14*10^2

A = 3.14*100

A = 314

Divide it by 4, because it's a quarter of the circle: A = 314/4

A = 78.5

Answer: 78.5

Your welcome :)

Answer:

85.1 (I think)

Step-by-step explanation:

2×2=4

5×2=10

5×6=30

(3×10)÷2=15

3squared+10squared=√109=10.44

5×10.44=52.2÷2=26.1

26.1+4+10+30+15=85.1

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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Factor when dividing the function the remainder is zero. The factorized form of the function  is 3(x^2-2x-80).

A factor of a function is a factor which when multiplied by another the result is the function itself.

here, we have,

We know that in order to factorize a function of the second-order, we need to take the common terms out from the expression,

f(x) = 3x^2 - 6x - 240

now,

Taking 3 as the common terms out of the entire function,

f(x) = 3x^2 - 6x - 240

     = 3(x^2-2x-80)

Hence, the factorized function, f(x) = 3x^2 - 6x - 240 is 3(x^2-2x-80)

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Step-by-step explanation:

1 ounces equal to 28.35 grams

Apply stoichiometry

as in the picture uploaded

Answer:

What is the question tho?

Step-by-step explanation:

Answer:

gay

Step-by-step explanation:

The accumulation points of the given function are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

To find the accumulation points of a function, we need to determine the values towards which the function approaches as the input approaches certain values. In this case, we have the function 11.9. Since it is a constant function, it takes the value 11.9 for all inputs.

Thus, there are no accumulation points other than the constant value itself, which is -1. However, when considering upper and lower accumulation points, we need to include the endpoints of the interval.

As the function is constant, the upper accumulation point is the maximum value of the function, which is 11.9, and the lower accumulation point is the minimum value, which is also 11.9. Hence, the accumulation points are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

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Answer:

90 degrees in clockwise direction on a graph? Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).

Step-by-step explanation:

Answer:

x = 10/3

Step-by-step explanation:

3(2x-4) = 8

3*2x + 3*-4 = 8

6x - 12 = 8

6x = 8 + 12

6x = 20

x = 20/6

x = 10/3

Check:

3((2*10/3) - 4) = 8

3(20/3 - 4) = 8

20 - 3*4 = 8

20 - 12 = 8

Answer:

C) 18

Step-by-step explanation:

All you have to do is solve the equation.

2.25x + 5 = 45.50 (subtract 5 on each side)

2.25x = 40.50 (divide by 2.25 on both sides to get the x alone)

x = 18

40.50/2.25 = 18

Answer:

18 Miles

Step-by-step explanation:

If she tipped the driver $5, we need to remove that from the equation. So it's now $40.5.

Now to find the answer all we need to do is divide 40.5 by 2.25, which is 18.

Answer:

0.32

Step-by-step explanation:

3/10=0.3

2/5=0.4

0.32 is between these two numbers.

Hope this Helps

Answer:

530, 556 C.

Step-by-step explanation:

Just did it

Answer:

c

Step-by-step explanation:

The measure of Angle D is the same as Angle B which is 63 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called the vertex of that angle. Those two line segments forming it are called arms of that angle. One arm is fixed, and one arm rotates around that vertex to make angles of different measurements. The fixed arm is called the initial arm. The moving arm is called the terminal arm.

The angle is the degree of rotation that it will take for the moving side to go from the initial side to the position it is currently on.

We are given that m∠B = 63°

Since the lines BC and AD are parallel to each other, they form the quadrilateral ABCD and parallelogram.

Therefore, according to the parallelogram properties,

the measure of Angle D is the same as Angle B which is 63 degrees.

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Answer:

35% chance of both of you playing together

For the following  equation, L.H.S = R.H.S is proved by solving the left-hand side and equating with it with the right-hand side equation :

\(\frac{tan x}{1-cot x} + \frac{cot x }{1-tan x} = 1+ tan x+ cot x\)

L.H.S =  \(\frac{tan x}{1- cot x} + \frac{cot x }{1 - tan x}\)

\(\frac{- tan^{2}x }{1- tan x} + \frac{cot x }{1 - tan x}\)

\(\frac{-tan^{2} x + cot x}{1 - tan x}\)

Multiply \(\frac{tan x}{tan x}\) we get,

\(\frac{1- tan^{3} x}{tan x (1- tan x)}\)

\(\frac{(1 - tan x ) (1 + tan x + tan ^{2}x) }{tan x (1 - tan x )}\)

\(\frac{( 1- tan x + tan^{2}x) }{tan x}\)

Divide each term separately,

\(\frac{1}{tan x} + \frac{tan x}{tan x} + \frac{tan^{2}x }{tan x}\)

cot x + 1 + tan x

therefore, 1+ tan x + cot x = R.H.S

L.H.S = R.H.S, hence the theory is proved.

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Answer:

Option A must be true.

Step-by-step explanation:

Answer:

\( \overline{TQ} \cong \overline {TR} \)

Step-by-step explanation:

Since, endpoints of a segment are equidistant from any point situated on the perpendicular bisector of that segment.

T is a Point on the perpendicular bisector of segment AB.

\( \therefore \overline{TQ} \cong \overline {TR} \)