Emoji v Add-insNew CommentHeader & FooterPage Numbers v 12 Symbol8) A can of soup regularly costs "c" dollars. Helena has a coupon for $0.15 off the regular price.Write an expression to show the price Helena will pay after using the coupon.0.

The null hypothesis will be same as the claim value which is 75%.

What is null hypothesis?

The null hypothesis is a statistical claim that no statistical significance can be found in a set of given observations. To determine the validity of a theory, hypothesis testing is carried out using sample data. Its symbol is H₀, and it is occasionally referred to as simply "the null".

We are given that the claim is that the proportion is less than 75%.

So, the statement of the null hypothesis states that the population value is the same as the claim value.

So,

H₀ : p = 75% = 0.75

If this null hypothesis is correct, then 75% of all students at the researcher's school finished their homework assignments last night.

Hence, this will mean that the null hypothesis is true.

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Question: No homework? Refer to Exercise 1. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265.

Explain what it would mean for the null hypothesis to be true in this setting.

The component of the displacement vector are: Horizontal component = -75 m Vertical component = 129.9 m (approx)

Given that the superhero flew 150 m at an angle of 120° with respect to the positive x-axis. We need to find the components of displacement vector.

Let's consider the given figure: Here, AB represents the displacement vector. AC represents the horizontal component of displacement vector and BC represents the vertical component of displacement vector.

The horizontal component can be calculated as: AC = AB cos θ

Here, θ = 120° and AB = 150 mAC = 150 cos 120°AC = -75 m (Negative sign indicates that the displacement is in the negative direction of the x-axis)

The vertical component can be calculated as: BC = AB sin θHere, θ = 120° and AB = 150 mBC = 150 sin 120°BC = 129.9 m (Approx)

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Given information: A superhero flew 150 m at a 120-degree angle with respect to the positive x-axis. The x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

Components of displacement vector: The component of displacement vector with respect to the x-axis is called the x-component of displacement vector.

Similarly, the component of displacement vector with respect to the y-axis is called the y-component of displacement vector.

As per the given information, the angle of displacement vector is 120 degrees with respect to the positive x-axis.

So, the angle of the vector with respect to the negative x-axis is 180 - 120 = 60 degrees (supplementary angles).

Now, the horizontal component (x-component) of the vector is given by the product of the magnitude and the cosine of the angle with respect to the x-axis.

Let the x-component of displacement vector be x.

Then, x = 150 cos 60°

x = 75 m.

The vertical component (y-component) of the vector is given by the product of the magnitude and the sine of the angle with respect to the x-axis.

Let the y-component of displacement vector be y.

Then, y = 150 sin 60°

y = 129.9 m.

Therefore, the x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

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The value of the derivative "dy/dx" at "t = π/6" if "x = cost", and "y = √3cost" is √3.

We first differentiate x and y separately and then divide to find dy/dx.

We know that,  x = cos(t) and y = √3cos(t)

On differentiating "x" with respect to "t",

We get,

dx/dt = -sin(t)

Differentiating "y" with respect to "t",

We get,

dy/dt = -√3sin(t)

To find dy/dx, we divide dy/dt by dx/dt:

dy/dx = (dy/dt) / (dx/dt)

Substituting the derivatives we found:

dy/dx = (-√3sin(t)) / (-sin(t))

Simplifying the expression:

dy/dx = √3

Now, to find dy/dx at the point t = π/6. Substituting t = π/6 into dy/dx:

We get, dy/dx = √3

Therefore, dy/dx at the point t = π/6 is √3.

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The given question is incomplete, the complete question is

Find "dy/dx" at the point t = π/6 if it is given x = cost, y = √3cost.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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An important numerical measure of the shape of a distribution is the skewness. The correct answer is (d) skewness.

Skewness is a measure of the asymmetry of a probability distribution. It indicates the degree to which the values in a distribution are concentrated on one side of the mean compared to the other side. A perfectly symmetrical distribution has zero skewness, while a positive skew indicates that the distribution has a longer right tail and a negative skew indicates a longer left tail.

Variance is a measure of the spread of a distribution, z-score is a measure of how many standard deviations a data point is from the mean, and coefficient of variation is a measure of relative variability of a distribution.

The correct answer is (d) skewness.

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Answer:

3x3 (x+5) (x - 5)

Step-by-step explanation:

Answer:

First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x - x + 10 = 17

x + 10 = 17

x = 7

y = 7 -10

y = -3

(7, -3)

Answer:

0

Step-by-step explanation:

there is no x so it is 0

0 it is

A seventh interval is a chord that consists of a triad and the notes that form the seventh chord above the root of the chord. Unless otherwise stated, "7th chord" usually means the dominant 7th chord, i.e. major triad and minor 7th chord.

The 7th interval, simply called 'September', is the pitch difference between the root note and the 7th note of the diatonic scale.

Sounding the seventh above the root of the chord as his fourth note, along with the other three notes of the dominant chord, strengthens the "suspension" inherent in the function of the dominant chord, and the expected chord Increases mitigation of return to tonic.

So instead of playing "G-B-D" (Sol-Si-Re) as the dominant "C" (Do), we play "G-B-D-F" (Sol-Si-Re-Fa).

The harmonic power of the "7th interval" is so strong that some or all of his three other notes in the chord are omitted, allowing them to be visualized in the listener's ear .

In music theory, the minor seventh is one of two intervals spanning seven staff positions. It's the smaller of two sevenths, and it's minor because it spans ten semitones. A major seventh spans 11 degrees. For example, the interval from A to G is a minor seventh. This is because the G note is ten semitones above his A, and his seven staves from A to G. Diminished 7th and increased 7th have the same number of staves, but a different number of semitones (9 and 12 respectively).

Minor sevenths are rare in melodies (especially in openings), but more common than major sevenths. The most famous example, often used in theory classes, occurs between the first two words of the phrase "There's a place for us" in the West Side Story song "Somewhere." Another well-known example occurs between his two notes at the beginning of the introduction to the music of the main theme of Star Trek: The Original Series.

Complete Question:

What is personification class 7th?

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Answer:

the answer is b

Answer:

.15

Step-by-step explanation:

Answer:

.15, 3/20

Step-by-step explanation:

Answer:

RT, then TI, then IR.

Step-by-step explanation:

The 108° is on the same line as an angle in RIT, so, since 108° plus that angle should equal 180°, the angle is 72°. You then have 2 of the triangle's 3 sides, and since all of a triangle's angles should equal 180°, you can subtract in order to find that it is 113°, I think. Then you go off of the bigger angle means a bigger opposite side thing again.

Answer:

RT, then TI, then IR.

Step-by-step explanation:

Answer:

17. first box- 88

second box- 176

18. first box- 9

second box- 5 5/8

Step-by-step explanation:

See photo.

Answer:

Page 1:

a = B

b = D

c = A

d = D and A

e = B

Page 2:

1 = False, the battery never died

2 = True (8-16 hours)

3 = False, It was used most in the first 2 hours

4 = False, the graph only goes up once, so one charge

5 = True

The solution to the equation 36 is r = 14. This means that if we substitute 14 for "r" in the equation, it satisfies the equation and makes it true.

To solve this equation, we want to isolate the variable "r" on one side of the equation. We can do this by performing the same operation on both sides of the equation to maintain balance.

Starting with the equation 22 + r = 36, we can subtract 22 from both sides:

22 + r - 22 = 36 - 22

This simplifies to:

r = 14

Therefore, the solution to the equation 22 + r = 36 is r = 14.

By subtracting 22 from both sides of the equation, we remove the constant term on the left side and are left with the variable "r" alone. The right side remains 36 - 22, which simplifies to 14.

The solution r = 14 means that if we substitute 14 for "r" in the original equation, the equation will hold true. Let's verify this:

22 + 14 = 36

The left side of the equation becomes 36, which matches the right side. Therefore, the solution r = 14 is correct.

In summary, the solution to the equation 22 + r = 36 is r = 14. This means that if we substitute 14 for "r" in the equation, it satisfies the equation and makes it true.

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1) Considering that in one deck we have 52 cards, and we also have four number fives one per each: hearts, spades, clubs, and diamonds.

2) Then we can delimit our sample space as 52 and the event as 4, so we can write out the following:

Note that we could simplify that, dividing both by 4. And that's the answer.

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer:

The price of the socks is dollar 8

Pls mark nrainliest

Answer:

$8

Step-by-step explanation:

Using the information we already know, we can form an equation:

Let x be the socks' original price.

\((24+x)\) × \(0.75=24\)

Divide both sides by 0.75

\(24+x=32\)

Subtract 24 from both sides

\(x=8\)

The socks' original price was $8.

there were 204 orders less of pancakes using 1/2 cup of milk than 1/4 cup and 3/4 cup of milk combined.

Let the number of orders of pancakes using 1/2 cup of milk be x. Then the number of orders of pancakes using 1/4 cup of milk is x - 3 and the number of orders using 3/4 cup of milk is 2x - 1. The equation we need to solve is:

x = (x - 3) + (2x - 1) - 100

Simplifying and solving for x gives:

x = 104

So there were 104 orders of pancakes using 1/2 cup of milk, 101 orders using 1/4 cup of milk, and 207 orders using 3/4 cup of milk. Therefore, the number of orders of pancakes using 1/2 cup of milk than 1/4 cup and 3/4 cup of milk combined is:

104 - (101 + 207) = -204.

In other words, there were 204 orders less of pancakes using 1/2 cup of milk than 1/4 cup and 3/4 cup of milk combined.

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Answer:

Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

R2 value less than 1 does not necessarily mean that the regression analysis is incorrect or that the observation data is suspect.

Rather, it suggests that there may be additional factors to consider when interpreting the results.

The statement "If R2 is less than 1, the regression analysis is incorrect" is not entirely true.

R2 is a statistical measure that indicates the proportion of the variance in the dependent variable that is explained by the independent variable(s). R2 values range from 0 to 1, where 0 indicates no correlation and 1 indicates perfect correlation.

If R2 is less than 1, it simply means that the independent variable(s) are not able to explain all of the variation in the dependent variable.

This does not necessarily mean that the regression analysis is incorrect.

In fact, it is common for regression analyses to have R2 values that are less than 1.

The key is to interpret the R2 value in conjunction with other statistical measures and to consider the research question being addressed.

Some possible implications of having an R2 value less than 1 might include:

The independent variable(s) have a weaker relationship with the dependent variable than anticipated.

There may be other factors that are influencing the dependent variable that are not accounted for in the regression analysis.

The sample size may be too small to detect a significant relationship between the independent and dependent variables.

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The shortest distance he would need to travel to get back to his starting point is 2.83 km

From the question, we have the following parameters that can be used in our computation:

A walker travels 2 km due north and 2 km due east

The shortest distance he would need to travel to get back to his starting point can be calculated using pythagoras theorem

So, we have

Distance = √(2² + 2²)

Evaluate

Distance = 2.83

Hence, the shortest distance is 2.83 km

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The algebraic expression that represents the number of pieces on the chessboard after n pieces are removed is 32 - n.

The algebraic expression 32 - n represents the number of pieces on the chessboard after n pieces are removed. Since there are initially 32 pieces on the chessboard, subtracting n from that value gives us the remaining number of pieces. As pieces are removed, the total count decreases accordingly.

The expression 32 - n allows us to track the diminishing number of pieces as n increases, representing the changing state of the chessboard throughout the game.

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Step-by-step explanation:

1)

\(\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .\)

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

The other root of the polynomial is 1 - √3.

The roots of a polynomial are the values of the independent variable at which the polynomial is zero.

If a polynomial has integral coefficients with 3 + i and 1 + √3  as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.

So, since 1 + √3, the conjugate is also a root.

The conjugate is 1 - √3.

So, the other root is 1 - √3.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.