Find the percent markdown for an $120 shirt that is on sale for $90

The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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The answer  is that with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around a certain value. This means that we are fairly certain that the true value lies within a certain range.

This bound is based on statistical analysis and assumes that the sample observations were taken from a normally distributed population. This means that the data follows a bell curve shape, with most of the values falling near the mean and fewer values falling farther away from the mean. The 95% confidence level means that if we were to repeat the experiment multiple times, we would expect the true value to lie within this range 95% of the time.

We cannot say for certain whether the true mean proportional limit stress is greater or less than the value we have calculated, but we can say that it is centered around this value with a high degree of confidence.

It is important to note that this bound is based on certain assumptions about the data and the population it represents. If these assumptions are not met, the bound may not be accurate or valid.

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Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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x - 3y = 3

Line perpendicular ,is found by formula m•m' = -1

Then first find Slope m = x - term / -y- term = 1/--3 = 1/3

Now find perpendicular slope m' = -1/(1/3) = -3

Following find ,y- intercept b

b = Y - m'X

b = -9 - (-3)•5

. = -9 + 15 = 6

Then ,now write

Y = -3X + 6

Answer is, equation

Y = -3X + 6

The probability density function f(x) is given by: f(x) ={2e^−2x, if x > 0 ; 0, elsewhere }

Given, Random variable X is continuous and has the following cumulative distribution function F(x) ={ 1 − e−2x, if x > 0 ; 0, elsewhere }

(a) Find P(X > 1): P(X > 1) = 1 − P(X ≤ 1)P(X ≤ 1) = F(1) = 1 − e^−2(1) = 1 − e^−2 = 0.8647

Therefore, P(X > 1) = 1 − P(X ≤ 1) = 1 − (1 − e^−2) = e^−2 = 0.1353(b)

Find the probability density function, f(x):

The probability density function, f(x) is obtained by differentiating the cumulative distribution function, F(x).

Differentiating F(x), f(x) = d/dx F(x)={d/dx (1 − e−2x), if x > 0 ; 0, elsewhere } = 2e^−2x, if x > 0 ; 0, elsewhere

Therefore, the probability density function f(x) is given by: f(x) ={2e^−2x, if x > 0 ; 0, elsewhere }

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The length of the curve is l = ∫80(1+3(y-9)/(32y))^(1/2) dy

To find the length of the curve, we use the formula:

l = ∫a^b [(1 + [f'(x)]^2)^(1/2)] dx

In this case, we are given the equation for y in terms of x, so we need to find y' to use in the formula.

Starting with x = y√3(y-9)/(32y1/2), we can rearrange to solve for y in terms of x:

y = x^2 / [3(x^2/9 + 1)]

Next, we find the derivative of y with respect to x:

y' = [6x / (9x^2 + 27)] - [2x^3 / (9x^2 + 27)^(3/2)]

Simplifying:

y' = 6x / [9(x^2 + 3)] - 2x^3 / [9(x^2 + 3)^(3/2)]

Now we can substitute y' into the formula for l:

l = ∫0^8 [(1 + [6x / (9(x^2 + 3)) - 2x^3 / (9(x^2 + 3)^(3/2))]^2)^(1/2)] dx

Simplifying:

l = ∫0^8 [(1 + 9(x-9)^2 / (32x^2))^(1/2)] dx

To make the integral easier to solve, we can substitute u = 1 + 9(x-9)^2 / (32x^2), which gives:

l = ∫1.5^5.5 [2/3 * u^(1/2) * (u - 1)^(1/2) / (9(u-1) + 8(u-1)^(3/2))] du

Using integration by substitution and partial fractions, we can solve for l:

l = 16/27 [ (13/16)^{3/2} - (5/16)^{3/2} + 2(13/16)^{1/2} - 2(5/16)^{1/2} ]

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Answer:

0.3 (3 repeating)

Step-by-step explanation:

Hope this helps!!

Answer:

0.33333333333333333333333333333333

Step-by-step explanation:

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

Answer:

10.54263764

Step-by-step explanation:

\(3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764\)

Answer:

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

Continuous compound is given by:

\(\displaystyle A=Pe^{rt}\)

Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).

Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:

\(\displaystyle A=2000e^{0.0475t}\)

We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:

\(3300=2000e^{0.0475t}\)

Divide both sides by 2000:

\(\displaystyle e^{0.0475t}=\frac{33}{20}\)

We can take the natural log of both sides:

\(\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)\)

Therefore:

\(\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}\)

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

\(6g + 4h + g + 7h = \\ = 7g + 11h\)

Answer:

4/9

Step-by-step explanation:

The probability that the spinner lands on a 5 or a multiple of 3 will be 0.4444 or 44.44%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You spin a spinner with 9 equal spaces numbered 1 through 9.

Then the probability that the spinner lands on a 5 or a multiple of 3 will be

The total number of the event will be

Total events = 9

The favorable event will be

Favorable = 1 {5} and 3 {3, 6, 9}

Then the probability will be

P = 1/ 9 + 3/ 9

P = (1 + 3) / 9

P = 4/9

P = 0.4444

P = 44.44%

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Answer:

The formula for relative change is x = 100 * (final - initial) / initial  Using this concept, we can plug in our values. x = (3.95 - 3.45) / 3.45 = 0.5. 0.5 * 100 = 14.49%. Rounded to the nearest tenth would give us the value 14.5%.

Step-by-step explanation:

Answer:

4948

Step-by-step explanation:

volme of a cylinder= π\(r^{2}\)×h

Answer:

Step-by-step explanation:

we know  the volume of a cylinder = \(\pi r^{2} h\)

= 22/7* 15 * 15* 7

= 22*225

= 4950

Answer:

the equation of the line is y = 2x + 9

graph below

Step-by-step explanation:

The slope intercept form is y = mx + b

y = y coordinate           (given: 3)

m = slope                      (given: 2)

x = x coordinate           (given: -3)

b = y intercept              need to find

The y - intercept is when x = 0

y = mx + b

3 = 2(-3) + b

3 = -6 + b

3 + 6 = -6 + 6 + b

9 = b

y = 2x + 9

Answer:

Explanation:

There are two possible answers for a tue-false test:

True and False

It is given

Answer:

Carl lives seven blocks away from Ann

Step-by-step explanation:

You start at Ann's house ( 0 ) 0+5+2=7

Beth is five blocks from Ann ( 5 )

Carl lives two blocks from Beth ( 2 )

Answer:

carl can be at 4 or 2

Step-by-step explanation:

Answer:

A. -2 <= x <= 4

Step-by-step explanation:

Since its a line (continuous) graph, the answer cannot be B. It cannot be C because all the points are filled-in circles instead of open circles.

The answer would be A because when you go right to left on a line graph, you include ALL the values that lie between the graph (including real numbers that lie on the lines).

Therefore, the domain of this function would be -2 <= x <= 4 (the 1st option).

I hope this helps! :D

The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.

The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.

The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.

To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.  

For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.    

Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.

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Answer:

a. See Attachment 1

b. \(PT = 12.3\ m\)

c. \(HT = 31.1\ m\)

d. \(OH = 28.4\ m\)

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

\(tan50 = \frac{OT}{20}\)

Multiply both sides by 20

\(20 * tan50 = \frac{OT}{20} * 20\)

\(20 * tan50 = OT\)

\(20 * 1.1918 = OT\)

\(23.836 = OT\)

\(OT = 23.836\)

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

\(tan30 = \frac{OP}{20}\)

Multiply both sides by 20

\(20 * tan30 = \frac{OP}{20} * 20\)

\(20 * tan30 = OP\)

\(20 * 0.5774= OP\)

\(11.548 = OP\)

\(OP = 11.548\)

\(PT = OT - OP\)

\(PT = 23.836 - 11.548\)

\(PT = 12.288\)

\(PT = 12.3\ m\) (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

\(HT^2 = OT^2 + OH^2\)

Substitute 20 for OH and \(OT = 23.836\)

\(HT^2 = 20^2 + 23.836^2\)

\(HT^2 = 400 + 568.154896\)

\(HT^2 = 968.154896\)

Take Square Root of both sides

\(HT = \sqrt{968.154896}\)

\(HT = 31.1\ m\) (Approximated)

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

\(tan50 = \frac{OH}{OT}\)

Multiply both sides by OT

\(OT * tan50 = \frac{OH}{OT} * OT\)

\(OT * tan50 = {OH\)

\(OT * 1.1918 = OH\)

Substitute \(OT = 23.836\)

\(23.836 * 1.1918 = OH\)

\(28.4= OH\)

\(OH = 28.4\ m\) (Approximated)

Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.

To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).

The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).

Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.

Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.

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Answer: D

Step-by-step explanation:

7x + 4 = 88

x = 12

angle 1 = 180 - 7(12) + 2

angle 1 = 98

So it's D

Answer: The angle measure for angle 1 would be 98 degrees.

Step-by-step explanation: First, you set 88 equal to (7x+4) since they are vertical angles. (Vertical angles are congruent.) Then you solve and find that x=12. You then plug 12 in to the second equation, (7x-2) and get 82. Since angle 1 is supplementary to the angle that measures 82 degrees, you would take 180-82= Angle 1.

If a random variable "z" follows a standard normal distribution and the probability of "z" being greater than "k" is 0.39, then the value of "k" such that satisfies the equation [p(z > k) = 0.39] will be 0.28

As per the question statement, a random variable "z" follows a standard normal distribution.

We are required to determine the value of "k" such that the equation   [p(z > k) = 0.39] is satisfied.

To solve this question, first we will have to calculate the probability of "z" being greater than "k" and then from the Z-table, we will determine the z-score corresponding the above calculated probability value. This z-score will be our desired answer, i.e.,

Given, P(Z > k)  = 0.39

Or, P(Z < k) = (1 - 0.39)

Or, P(Z < k) = 0.61

Now, from the Z table, we get the z-score corresponding to probability value of 0.61 is 0.28

Hence, (k = 0.28)

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Answer:

not

Step-by-step explanation:

Answer:

A. Based on the data, this is an example of correlation and causation.

Step-by-step explanation:

Got it right on my test, heh.

Hope this helps! (づ｡◕‿‿◕｡)づ

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Answer:

The correct answer is C

Step-by-step explanation:

Just trust the process

Answer:

960 dollars

Step-by-step explanation:

Your welcome