9 yards times 3 over 1 times 2 over 1 =54 over 1

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

x^2-8x+12

Step-by-step explanation:

This is the expanded form if this is what you wanted

The slope of the line containing (25,40) and (100, 55) is equal to 1/5.

As given in the question,

Given points are :

(x₁ , y₁) = ( 25, 40)

(x₂ , y₂) = (100 , 55)

Slope 'm'  of the line containing  (25,40) and (100, 55)

Slope 'm' = (y₂ -y₁) / (x₂ - x₁)

⇒ m = ( 55 - 40) / ( 100 -25)

⇒ m = 15 / 75

⇒ m = 1 / 5

Therefore, the slope of the line containing (25,40) and (100, 55) is equal to 1/5.

Learn more about slope here

brainly.com/question/3605446

#SPJ1

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

$444

---

364+80 = 444

--- hope this helped

Answer:

364+80=444 es lo que daría la suma de esos dos valores

The marginal utility functions for the given utility function are \(U_{1} = 1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\) and \(U_{2} = Abq_{1} ^{a} q_{2}^{(b-1)}+ 1\). The MRS is equal to the ratio of the marginal utilities, or MRS = U₁/U₂ = \(1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\)/ \((Abq_{1}^aq_{2}^{(b-1)} + 1)\).

a) The marginal utility functions can be obtained by taking the partial derivatives of the utility function with respect to each good. For the given utility function U(q₁, q₂) = \(q_{1} + Aq_{1}^{(a)}q_{2}^{(b)} + q_{2}\) the marginal utility of good 1 (U₁) is equal to\(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)}\), and the marginal utility of good 2 (U₂) is equal to \(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1\).

b) The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. It is defined as the ratio of the marginal utilities of the two goods. In this case, the MRS can be calculated as MRS = U₁/U₂, which gives \(\frac{(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)})}{(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1)}\).

The explanation above summarizes the process of obtaining the marginal utility functions and the MRS for the given utility function. The utility function is differentiated with respect to each good to find the marginal utilities. The MRS is then calculated as the ratio of the marginal utilities. The specific expressions for the marginal utilities and the MRS are provided based on the given utility function.

Learn more about derivatives here:
brainly.com/question/25324584

#SPJ11

 For angle group G1 (0, 90, 180, 270, 360 degrees), the values of sin(theta), cos(theta), tan(theta), and vector A can be calculated. The same calculations can be performed for angle groups G2 (30, 120, 210, 300 degrees) and G3 (45, 135, 225, 315 degrees). The results are summarized in the tables below.

In order to find the values of sin(theta), cos(theta), and tan(theta) for each angle in the given angle groups, we can use the basic trigonometric functions. The values of sin(theta), cos(theta), and tan(theta) are dependent on the angle theta, which is measured in degrees.
Angle Group G1 (0, 90, 180, 270, 360 degrees):
For each angle in this group, we can calculate the values of sin(theta), cos(theta), and tan(theta) using a scientific calculator or trigonometric tables. The vector A, which represents the magnitude of the vector with components A_x and A_y, can be determined using the formula A = sqrt(A_x^2 + A_y^2), where A_x and A_y are the x and y components of the vector, respectively.
Angle Group G2 (30, 120, 210, 300 degrees):
Similar to G1, we can calculate sin(theta), cos(theta), and tan(theta) for each angle in G2 using trigonometric functions. The vector A can be determined using the same formula mentioned earlier.
Angle Group G3 (45, 135, 225, 315 degrees):
Again, we apply the trigonometric functions to find sin(theta), cos(theta), and tan(theta) for each angle in G3. The magnitude of vector A can be obtained using the formula mentioned above.
By performing these calculations, we can complete the tables, providing the values of sin(theta), cos(theta), tan(theta), and vector A for each angle group as required.

learn more about angle here

https://brainly.com/question/30147425

#SPJ11

Answer:

"What are the advantages and disadvantages of each alternative?" would be an appropriate question to evaluate alternatives in the third stage of the rational model of decision making.In the third stage, decision makers generate and evaluate alternative courses of action. They weigh the pros and cons of each alternative, considering factors such as feasibility, risks, costs, benefits, and consequences. By asking about the advantages and disadvantages of each alternative, decision makers can systematically compare and contrast their options, identify potential trade-offs, and select the best alternative based on their criteria and preferences.

Answer:

(23/2, 1/2)

Step-by-step explanation:

Let's solve this system through elimination by addition/subtraction:

Divide all three terms of the first equation by 3.  This results in the equivalent system

-2x - 2y = 33

2x + 4y = -32

Combining like terms results in:

2y = 1, and so y = 1/2.

Let's use the first equation and y = 1/2 to find x:

-6x - 6(1/2) = 66

This becomes -6x - 3 = 66, or -6x = 69, or x = -69/6 , or x = 23/2

The solution is thus (23/2, 1/2)

-

Answer:

Step-by-step explanation:

Perimeter values will be ...

rectangles . . . perimeter

  1 . . . 14

  2 . . . 16

  3 . . . 18

__

The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...

  P = 2(6 +n) = 12 +2n

Your equation is ...

  P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.

_____

Additional comment

You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...

  y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.

The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.

To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:

lnW = -5.36 + 3.216ln(12)

Evaluating the right-hand side of the equation, we have:

lnW ≈ -5.36 + 3.216ln(12)

≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]

≈ -5.36 + 7.99604

≈ 2.63604

Taking the inverse of the natural logarithm (exponential function), we find:

W ≈ e^(2.63604)

≈ 13.80 grams

Know more about predicted weight here:

https://brainly.com/question/29124475

#SPJ11

The definition of the derivative of a function s(t) is given by the limit:`f '(a) = lim_(h -> 0) (f(a + h) - f(a))/h`where `h` is the

change in the value of the variable `t`. Now, given that `s(t) = 2t² - t` is the position of the particle and we are asked to find the velocity of the particle, we need to differentiate `s(t)` with respect to `t` to obtain the velocity of the particle.`

s(t) = 2t² - t`Differentiating both sides with respect to `t`, we get:`

s'(t) = (d/dt)(2t² - t) = d/dt (2t²) - d/dt(t) = 4t - 1`Therefore, the velocity of the particle is given by the derivative of the position function

`s(t)`. At `t = 3`, we have:`

s'(3) = 4(3) - 1 = 11`Therefore, the velocity of the particle at

`t = 3` is `11 m/s`.

To know more about decimal visit:

https://brainly.com/question/29765582

#SPJ11

(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

Learn more about Normal Distribution:

https://brainly.com/question/31197941

#SPJ4

Answer:

John is verey not smart

Step-by-step explanation:

Because he has fat

Answer:

D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

Step-by-step explanation:

i took the test and got it right

Answer:

y = -2/3x + 2

Step-by-step explanation:

Hey there!

Well since we already got the y-intercept to find slope we'll use the points,

(3,0) and (0,2).

Formula: \(\frac{y^2 - y^1}{x^2 - x^1}\)

Plug in the given points,

\(\frac{2 - 0}{0 - 3}\)

Slope = -2/3

Slope-intercept: y = -2/3x + 2

Hope this helps :)

Answer:

y = -2/3x + 2  or

2x + 3y  = 6   (standard form).

Step-by-step explanation:

I am assuming you want the equation of the straight line that passes through these 2 points.

The 2 points are (3, 0 ) and (0, 2).

The slope of the line =  (2 - 0) / (0 - 3)

= -2/3.

The equation is y = -2/3x + 2  ( as 2 is the y-intercept).

In standard form this is :

3y = -2x + 6

2x + 3y  = 6.

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

To learn more about switch, click here:

https://brainly.com/question/9431503

#SPJ11

Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e

We start with the expression:

exp( (4/3)*ln(2) - 1)

Here we can use that:

exp(ln(x)) = x.

and e^(a + b) = e^a*e^b.

the first step here is:

e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)

So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.

now, we have that:

a*ln(x) = ln(x^a)

then we can write:

(4/3)*ln(2) = ln(2^(4/3))

and e^(ln(2^(4/3)) = 2^(4/3)

then we have:

e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e

now we can write this as:

∛(2^4)/e

Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.

The expression actually is: ∛(16)/e

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

a)0.1989 proportion of bags of cookies give rise to complaints.

b)more than or equal to 4 numbers of raisins per pound would ensure that only 5% of the bags give rise to complaints.

The Poisson distribution is a discrete distribution that measures the probability of a given number of events happening in a specified time period. In finance, the Poisson distribution could be used to model the arrival of new buy or sell orders entered into the market or the expected arrival of orders at specified trading venues or dark pools. In these cases, the Poisson distribution is used to provide expectations surrounding confidence bounds around the expected order arrival rates. Poisson distributions are very useful for smart order routers and algorithmic trading.

we solve this using poisson distribution and binomial distribution

For each cookie, it is a Poisson distribution with λ= 32 ·2/16 = 4. For the bag, it is a binomial distribution with X∼Bin(12, p), where p= exp(−4) = 0.0183.

(a) P(X > 0) = 1 −P(X= 0) = 1 −(1 −p)12 = 0.1989.

(b) P(X > 0) = 1 −(1 −p)12 ≤0.05

→p= exp(−λ)≤0.00427

→λ≥5.46

→number of raisins ≥4

To learn more about  Poisson distribution:

https://brainly.com/question/17280826

#SPJ4

Answer:

The slope of the line is 3.

Step-by-step explanation:

The y-intercept is 0,-2, and another point on the line is 1,1.

By using the slope formula y2 - y1/x2 - x1, we get:

1 - (-2) = 3

1 - 0 = 1

3/1 = 3, so the slope is 3

Hope this helps, please mark brainliest

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

Learn more about adding:

https://brainly.com/question/3255453

#SPJ4

====================================================

let's evaluate this expression

\(\pmb{\displaystyle\frac{8-m}{n+p^2} }\)

\(\pmb{\displaystyle\frac{8-8}{2+7^2}}\) (step 1)

\(\pmb{\displaystyle\frac{0}{2+49}}\) (step 2)

simplify:

\(\pmb{\displaystyle\frac{0}{51}}\) (step 3)

\(\pmb{0}\) (step 4)

=======================================

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

7.  \(a2(a2)(a6)\)  is a monomial.

8. \(x(x2)(x2)(x7)\)  is a monomial.

9. \((y2z)(yz2)\) is a monomial.

10. (e² k²) (e³k) is a monomial.

11. (a²b⁴)(a²b¹) is a monomial.

12. (cd²)(c3d2) is a monomial.

13. (2x²)(3x⁵)  is a monomial.

14. (5a⁷)(a²b³) is a monomial.

15. (4xy³)(3x³y⁵) is a monomial.

16. (7a⁵b²)(a²b³) is a monomial.

17. (-5m³)(3m⁸) is a monomial.

18. (-2c⁴d)(-4cd) is a monomial.

19. (10²)³ is a monomial.

20. (P³)¹²  It is a monomial.

22. (-3y³) is a monomial.

A polynomial with only one term is called a monomial. An algebraic expression known as a monomial typically has one term, but it can also include several variables and a higher degree.

7. \(a2(a2)(a6)\)

    \(\\= a2+2+2+6 \\= a12\)

Yes. It is a monomial.

8. \(x(x2)(x2)(x7)\)

    \(= x1+2+2+7 \\= x12\)

Yes. It is a monomial.

9. \((y2z)(yz2)\)

   \(= y2+1 z1+2 \\= y3z2\)

Yes. It is a monomial.

10. (e² k²) (e³k)

   = (e2+3) (k2+1)

   = e5k3

Yes. It is a monomial.

11. (a²b⁴)(a²b¹)

   = a2+2 b4+1

   = a4b5

Yes. It is a monomial.

12. (cd²)(c3d2)

   = c1+3 d2+2

   = c4d4

Yes. It is a monomial.

13. (2x²)(3x⁵)

    = 2×3 x2+5

     = 6x7

Yes. It is a monomial.

14. (5a⁷)(a²b³)

    = 5a7+2b3

     = 5a9b3

Yes. It is a monomial.

15. (4xy³)(3x³y⁵)

    = 4×3 x1+3 y3+5

      = 12x4y8

Yes. It is a monomial.

16. (7a⁵b²)(a²b³)

   = 7a5+2 b2+3

    = 7a7b5

Yes. It is a monomial.

17. (-5m³)(3m⁸)

   = -5×3 m3+8

   = -15m11

Yes. It is a monomial.

18. (-2c⁴d)(-4cd)

    = 2×4 c4+1 d1+1

   = 8c5d2

Yes. It is a monomial.

19. (10²)³

   = \(10^6\)

Yes. It is a monomial.

20. (P³)¹²

   = \(P^{36}\)

Yes. It is a monomial.

22. (-3y³)

   = -3y3.

Yes. It is a monomial.

23. (3pr²)²

   = 9p²r4

Yes. It is a monomial.

24. (2b³c⁴)²

   = 4b6c8.

Yes. It is a monomial.

for such more question on monomial

https://brainly.com/question/28867452

#SPJ4

Answer:

x = 15

I hope this helps!

The duration of the flight as a mixed number is 5³/₄ hours

This is the duration of an event. It is measured in seconds. Other units of measurement are days, months, years etc.

The duration of the flight T = t' - t where

Since the flight leaves Montgomery at 2 pm, t = 2:00 pm. Also, the flight arrives at Hartford at 9:45 pm, t' = 9:45 pm

Since, T = t' - t

Substituting the values of the variables into the equation, we have

T = 9:45 - 2:00

T = 5:45 hours

Converting the minutes to hours, we have since 60 minutes = 1 hour

T = 5⁴⁵/₆₀

T = 5³/₄ hours

So, the duration of the flight as a mixed number is 5³/₄ hours

Learn more about duration of the flight here:

https://brainly.com/question/2836216

Twice the difference of nine and a number squared; 2(9-n²) is correctly paired.

Let the number be n . The expression can be written as

Four less than the quotient of a number cubed and seven, increased by three = -4 + n³/7 + 3 .

Five times the difference of a number squared and six = 5(n² - 6) .

Nine more than the quotient of six and a number cubed, decreased by four = 9 + 6/n³ - 4 .

Twice the difference of nine and a number squared = 2(9 - n²) .

Hence the last one is correctly paired.

To know more about squared click here :

https://brainly.com/question/14198272

#SPJ4

9514 1404 393

Answer:

  √3 cm

Step-by-step explanation:

The square of a face diagonal is given by the Pythagorean theorem:

  (face diagonal)² = 1² + 1² = 2

Then the square of the space diagonal is ...

  (space diagonal)² = 1² +2 = 3

So, the length of the space diagonal is ...

  space diagonal = √3 cm

_____

In the attached diagram, AB and BC are edges of a face of the cube. AC is the diagonal of that face, a "face diagonal." That makes a right triangle with edge CD of the cube. The hypotenuse of that triangle is AD, the "space diagonal". As we have shown, the length of the space diagonal is ...

  AD² = CD² +AC² = 1² +(√2)² = 3

  AD = √3

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Each side would be 3 units.

Step-by-step explanation:

If the perimeter of the circle is 12 units and there are 4 sides on a square and all of those sides need to be equal all you must do is divide the number of units by the number of sides to get your answer of 3 units.

Hope I could help! :)