Describe the error made by the person who was incorrect.

The largest volume that the box  can have is 02.

equation for volume :

v = x (3- 2x)²

Differentiating using chain rule and product line:

    v' = 1(3 - 2x)² + 2x (3 -2x) (-2)

        = 9 - 12x + 4x² -12x +8x²

        = 9 - 24x +12x²

Finding the critical value where v' = 0

 v' = 0

⇒12x² - 24x +9 =0

⇒3 ( 4x² -8x +3)=0

⇒ 4x² -8x+3 =0

(2x- 3) (2x-1) =0

or, x=3/2 or 1/2

putting the value x= 1/2, we get,

 V = 2

Learn more about volume :

https://brainly.com/question/22907480

#SPJ4

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

Learn more about null hypothesis at : https://brainly.com/question/28920252

#SPJ4

Answer:

Step-by-step explanation:

1=88

2=42

3=42+25+x=180

3=180-67

It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

Learn more about Ethnicity here -: brainly.com/question/674712

#SPJ11

The nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].

To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors that lie in the plane.

Let's find the vectors PQ and PR, which can be found by subtracting the coordinates of P from the coordinates of Q and R:

PQ = Q - P = (-2, 1, 3) - (1, 0, 1) = (-3, 1, 2)

PR = R - P = (4, 2, 5) - (1, 0, 1) = (3, 2, 4)

Next, we'll take the cross product of these two vectors to find a vector orthogonal to the plane:

n = PQ x PR =

[(1)(4) - (2)(2), (2)(-3) - (3)(1), (3)(3) - (2)(-2)]

= [-8, -8, -12]

This vector is orthogonal to the plane through the points P, Q, and R. To make it a nonzero vector, we can scale it to have magnitude 1:

n = [-8, -8, -12] / sqrt((-8)^2 + (-8)^2 + (-12)^2) = [-8/13, -8/13, -12/13]

So, the nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].

To know more about vector visit:

brainly.com/question/30202103

#SPJ4

You paid a total of 9.55 Ghana cedis for the goods.

Initially, you gave the storekeeper a 10 Ghana cedis note. The storekeeper requested an additional 5 Ghana pesewas (gp) for ease of change. Therefore, the total amount given to the storekeeper was 10.05 Ghana cedis.

Later, the storekeeper gave you 50 Ghana pesewas (gp) in change.

To calculate the total amount paid for the goods, we need to subtract the change received from the total amount given.

Total amount given - Change received = Amount paid for goods

10.05 Ghana cedis - 0.50 Ghana cedis (50 Ghana pesewas) = 9.55 Ghana cedis.

Therefore, you paid a total of 9.55 Ghana cedis for the goods.

Learn more about amount here:
https://brainly.com/question/32208943

#SPJ11

Given,x(t) = 7.4t² − 4.8t³m

We need to find the following.(b) Velocity (in m/s) and acceleration (in m/s²) at t = 2 s and indicate the direction with the sign of your answer.

(c) Find the time t > 0 (in s) when the position is at a maximum.

(d) Find the time t > 0 (in s) when the velocity is zero.

(e) Find the maximum position (in m) for time t > 0 and indicate the direction with the sign of your answer.

To calculate velocity, we need to differentiate position with respect to time.

That is,

v(t) = x′(t)

= 14.8t - 14.4t²m/s

We can calculate acceleration by differentiating velocity with respect to time.

That is,

a(t) = v′(t) = 14.8 - 28.8t m/s²

Now, we can substitute t = 2 s to find velocity and acceleration.

v(2.0 s) = 14.8(2.0) - 14.4(2.0)² = 4.4 m/s (The direction is positive because velocity is positive at t = 2 s) a(2.0 s) = 14.8 - 28.8(2.0) = -42.8 m/s²

(The direction is negative because acceleration is negative at t = 2 s)

Now, we can find the time when the position is at a maximum.

To find the maximum, we need to differentiate position with respect to time and equate it to zero.

dx/dt = 14.8t - 14.4t²

= 0.

Simplifying, we get 14.8t(1 - t) = 0.

Hence,t = 0, 1 s.To determine the time when velocity is zero, we set the expression for velocity to zero and solve for t.

v(t) = 0 = 14.8t - 14.4t² => 14.8t = 14.4t² => t(14.4t - 14.8) = 0.

Hence,t = 0, 1.028 s (rounded to three decimal places).

To find the maximum position, we substitute t = 1 s into the expression for position.

x(1.0 s) = 7.4(1.0)² − 4.8(1.0)³

= 2.6 m.

(The direction is positive because the particle is moving in the positive direction).

Therefore, the answers are,v(2.0 s) = 4.4 m/s (positive direction)a(2.0 s) = -42.8 m/s² (negative direction)t = 1 st = 0, 1.028 sx = 2.6 m (positive direction).

To know more about direction  visit:

https://brainly.com/question/32262214

#SPJ11

Answer:

(-2,-9)

(-1,8)

(0,-5)

(1,0)

(2,7)

Step-by-step explanation:

Answer:

The object was dropped at a height of 338.1 meters.

Step-by-step explanation:

According to the statement, the function velocity (\(v\)), in meters per second, in term of the initial height of the object (\(h\)), in meters, is represented by:

\(v = \sqrt{19.6\cdot h}\) (1)

This formula represents a particular case of a free fall analyzed by means of the Principle of Energy Conservation. If we know that \(v = 81.4\,\frac{m}{s}\), then the height of the object before being dropped is:

\(h = \frac{v^{2}}{19.6}\)

\(h = 338.059\,m\)

The object was dropped at a height of 338.1 meters.

Answer: I would say it is 66cm

Step-by-step explanation:

You would do 5.5cm*12cm which would equal 66cm

Brainliest pls:)

To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The Answer Is X=84

Make an equation for x.

x+40+2/3x=180

x+2/3x=140

Combine like terms.

1 2/3x=140

140/1 2/3 =84

x=84

Ria and Sharan drank drank equal amount of milk

Given data

Ria drinks x number of glasses of milk, each containing y mL each day

Sharan drinks 2x number of glasses of milk, each containing -y/2)} mL each day

Ria

x glass contains y ml. hence Ria took xy ml of milk each day

Sharan

2x glass contains y/2 ml. hence Sharan took xy ml of milk each day

comparing both shows that they both contains xy ml of milk each day. Therefore Ria and Sharan took equal amount of milk each day

Read more on proportions here: https://brainly.com/question/1496357

#SPJ1

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

11/20

Decimal Form:

0.55

22/40

Factor 2 out of 22.

2(11)/40

Cancel the common factors.

Tap for more steps...

11/20

The result can be shown in multiple forms.

Exact Form:

11/20

Decimal Form:0.55

Step-by-step explanation:

Hope it is helpful....

Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

Learn more about in-stock probability here:-

https://brainly.com/question/33669041

#SPJ11

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

learn more about linear function here:

https://brainly.com/question/21107621

#SPJ11

Answer: -19

Step-by-step explanation:

(-10) + (-9)

-10-9

-19

Answer:

true :)

Step-by-step explanation:

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

The relationship between the confidence interval and the margin of error is that the margin of error determines the width of the confidence interval.

The margin of error is a measure of the uncertainty associated with a sample statistic, such as the mean or proportion. It represents the maximum amount by which the sample statistic may differ from the true population parameter, with a certain degree of confidence. The confidence interval, on the other hand, is a range of values that is likely to contain the true population parameter, with a certain degree of confidence. The width of the confidence interval is determined by the margin of error.

Therefore, none of the options given in the question is correct. The width of the confidence interval is typically calculated by multiplying the margin of error by a factor that depends on the desired level of confidence. For example, a 95% confidence interval is typically calculated by multiplying the margin of error by 1.96, which corresponds to a confidence level of 95%. In summary, the margin of error determines the width of the confidence interval, but the relationship between the two is not as simple as any of the options given in the question.

To learn more about statistic click here, brainly.com/question/31538429

#SPJ11

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

\((x + 1)(3x - 2) = 0\)

Expand

\(x(3x - 2) + 1(3x - 2) = 0 \\ 3x { }^{2} - 2x + 3x - 2 = 0 \\ {3x}^{2} + x - 2 = 0\)

Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

for such more question on measure of arc

https://brainly.com/question/25716982

#SPJ8

Answer:

children = 177, adults =215

Step-by-step explanation:

im too lazy to write but solve this with a systeme

x(children),y(adults)

x+y=392

x=392-y

2.5y+1.25x=758.75

2.5y+1.25(392-y)=758.75

2.5y+490-1.25y=758.75

490+1.25y=758.75

1.25y=758.75-490

1.25y=268.75

y=268.75/1.25

y=215

x=392-215=177(number of kids)

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

The average rate of change from x = -2 to x = 0 of the function f(x) = 3x² - 2x + 5 is -8.

The average rate of change from -2 to 0 is;

f(0) - f(-2) / 0 - (-2)

Given the quadratic equation in question;

f(x) = 3x² - 2x + 5

Plug in the values;

[ ( 3(0)² - 2(0) + 5 ) - ( 3(-2)² - 2(-2) + 5  ) ]/ 0 - (-2)

[ ( 0 - 0 + 5 ) - ( 12 + 4 + 5  ) ]/ 0 - (-2)

[  5 - 21 ] / 0 - (-2)

[  -16 ] / 2

-16/2

-8

Therefore, the average rate of change is -8.

Learn more about average rate of change here: https://brainly.com/question/28744270

#SPJ1

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)