What is the difference in surface area between a cube with an edge length of 7 inches and a cube with edge length of 4 inches?

A. 18 in²
B. 33 in²
C. 66 in²
D. 99 in²
E. 198 in²

Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .

In the given question, we shall check the bag is underfilled at given level or not .

We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :

H₀ : u = 411 : the bags are not underfilled

Hₜ : u < 411 : the bags are underfilled

Check it now using statistic Z-test and the test Statistic formula is given by

= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .

From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21

Including all of the above variables in formula

Z = (437-411)/21/√19

= 26/21/√19

= 5.395

This is right -tail test in statistic Z -test

P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )

The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025

P- value >α , this implies that Null hypothesis is not Rejected .

There is sufficient evidence to suggest that bag is not underfilled.

To learn more about Hypothesis testing, refer:

https://brainly.com/question/580970

#SPJ4

The rationale behind the F test is that if the null hypothesis is true, by imposing the null hypothesis restrictions on the OLS estimation the per restriction sum of squared errors falls by an insignificant amount. The correct answer is: e.

The F test in statistical hypothesis testing is used to compare the goodness-of-fit of two nested models, typically one with more restrictions (null hypothesis) and the other with fewer restrictions (alternative hypothesis). The test statistic follows an F-distribution.

The rationale behind the F test is to assess whether the additional restrictions imposed by the null hypothesis significantly improve the model's fit. If the null hypothesis is true, meaning that the additional restrictions are valid, then the per restriction sum of squared errors should decrease.

However, if the null hypothesis is false, and the additional restrictions are not valid, then the sum of squared errors may not decrease significantly.

Therefore, the correct statement is that if the null hypothesis is true, the per restriction sum of squared errors falls by an insignificant amount.

The correct answer is option e.

To know more about null hypothesis refer to-

https://brainly.com/question/28920252

#SPJ11

The total surface area of the birdhouse in square feet is 1.3 ft²

The given triangular prism has an isosceles triangular base with the sides of 4 in, 4 in, and 3 in, with a triangular height of 2.6 in.

The prism height is 16 in.

The total surface area of a triangular prism is given as;

Total surface area = 2 × triangular area + rectangular area (lateral area)

From the given information, the base of the triangular prism is an isosceles triangle with sides 4 in, 4 in, and 3 in, and the height of the triangle is 2.6 in.

The area of an isosceles triangle is given as;

Area of an isosceles triangle = 0.5 × base × height

The base and height of the triangular base of the prism are 4 in and 2.6 in, respectively.

Therefore;

Area of the triangular base = 0.5 × 4 in × 2.6 in = 5.2 in²

The rectangular area (lateral area) is given by;

Rectangular area = perimeter of the base × height of the prism

The perimeter of the triangular base is;

Perimeter of the triangular base = 4 in + 4 in + 3 in = 11 in

Therefore;

Rectangular area = 11 in × 16 in = 176 in²

Now, we can calculate the total surface area of the prism;

Total surface area = 2 × triangular area + rectangular area (lateral area)

Total surface area = 2(5.2 in²) + 176 in²

Total surface area = 186.4 in²

To express the answer in square feet, we need to convert the area to square feet by dividing by 144;

Total surface area = 186.4 in² ÷ 144 in²/ft² = 1.294 ft²

Therefore, the total surface area is 1.3 ft² (rounded to the nearest tenth of a foot).

Learn more about Total surface area from :

https://brainly.com/question/16519513

#SPJ11

Answer:

20% of 50 marbles is 1 fifth of the marbles in the bag. so 50 marbles divided by 5 =10 blue marbles

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

WOW, that's a lot of points!!

To find the answer for this problem, you take 80% of 50.

In the bag, 20% of the marbles are blue. That means that the rest of the 80% are not blue. So, take 0.8 * 50 = 40. 40 marbles that are not blue.

Answer:

2 friends

Step-by-step explanation:

use decimals 2.5 and 1.25 divide them and you will get 2

Answer:

The answer is "Linear function".

Step-by-step explanation:

Linear features would be those that have a linear graph. Its following location identified to a linear function, that is \(\bold{f(x) = a+bx}\).

This function had a variable one of reliant to its variable, which is "x", and it's distinct and the response variable is reliant.

please find the attachment of the graph.

Answer:

Slope:  1/4

y - int: (0,-6)

Step-by-step explanation:

-x+4y=-24

4y = -24+x

y=1/4 * x - 6

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

Learn more about bending movement :https://brainly.com/question/31385809

#SPJ11

Answer:

8

Step-by-step explanation:

1/6 of 12 is 2

12 - 2 = 10

1/5 of 10 is also 2

10 - 2 = 8

Tommy took 8 donuts to work.

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

Find more on patterns and outcomes at https://brainly.com/question/10967193

#SPJ4

We know that,

\({ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }\)

Solution :

\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }\)

We can also write it as,

\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }\)

Now, using the formula, we'll solve the expression.

\({ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }\)

\({ \longrightarrow \sf \qquad \: (2x + 3)^{2} }\)

Since,

Therefore,

Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x,y) -> (x + 5, y - 2).

Hence, the image of point B, given by B', is:

(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

Tank A fills up faster.

Step-by-step explanation:

Tank A is y = 13x

Tank B is y = 11x

Plz mark as Brainliest!

SOLUTION

That is the graph.

CONCLUSION

THE TWO LINES WILL HAVE THE SAME SLOPE.

Therefore, they could be considered as parallel since two parallel lines have the same slope.

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

To learn more about  

nearest tenth

brainly.com/question/12102731

#SPJ11

Answer:

Subtraction

Step-by-step explanation:

(4x^(5) - 8x) - (3x^(2) - 8x + 9) = 4 x^( 5) - 3 x^ (2)  - 9

Answer:

4

(+, -) coordinates

The measure of side ro is 147 and the scale factor is 66, so the measure of side r'o' is 147 * 66 = 9696.

The measure of side ro can be found by dividing the measure of side r'o' by the scale factor. In this case, the measure of side r'o' is 9696 and the scale factor is 66. So, we can find the measure of side ro by doing the following calculation:

ro = r'o' / scale factor

ro = 9696 / 66

ro = 147

Therefore, the measure of side ro is 147.

In general, when a rectangle is dilated by a scale factor, the measures of the sides are multiplied by the scale factor. So, if the measure of a side is x and the scale factor is y, the measure of the dilated side will be x * y. In this case, the measure of side ro is 147 and the scale factor is 66, so the measure of side r'o' is 147 * 66 = 9696.

Learn more about Rectangle

brainly.com/question/29123947

#SPJ11

Answer:50.3m

Step-by-step explanation:

Answer:

\( \\ \)

Step-by-step explanation:

To find the circumference of the circle, we must know this formula

\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ \)

Where,

With the help of this formula, we can find the circumference of the circle.

\( \\ \)

Now, we'll substitute the values in the formula :

\( \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 8}}} \: \: \\ \\ \)

\({ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle) }= 3.14 \times 16 }}} \: \: \\ \\ \)

\({ \longrightarrow \qquad{ \pmb{ \frak { Circumference_{(circle) }= 50.24\: }}}} \: \: \\ \\ \)

Therefore,

This means that the negative values of y are obtained for positive x-values and vice versa, which results in a reflection across the x-axis.

A) A possible parent function for this information could be f(x) = |x| - 2.

B) Here is a possible graph for the function:

       |

   ____|____

  |         |

  |         |

___|___      |

       |     |

       |     |

       |_____|

         x

C) The given function has two transformations applied to the parent function y = |x|. The first transformation is a vertical shift downward by 2 units, which is represented by the "-2" in the function. The second transformation is a reflection across the x-axis due to the fact that the function is decreasing on (-∞,0) and increasing on (0,∞). This means that the negative values of y are obtained for positive x-values and vice versa, which results in a reflection across the x-axis.

Learn more about   value  from

https://brainly.com/question/24078844

#SPJ11

The integral of f(x,y) over the region 1 ≤ x²y² ≤ e⁴ is equal to 16e² ln(e²) - 16e² + 16.

To evaluate this integral, we need to first determine the limits of integration. Since we have the condition 1 ≤ x²y² ≤ e⁴, we can rewrite this as 1/x² ≤ y² ≤ e⁴/x², which gives us the limits for y. For x, we have the condition that x²y² ≤ e⁴, which can be rewritten as x² ≤ e⁴/y², giving us the limits for x.

Thus, the integral can be written as:

∫ ln(x²y²)/(x²y²) dy dx

Now, we can solve this integral by using techniques such as substitution or integration by parts. For simplicity, we can use the fact that ln(xy) = ln(x) + ln(y) and split the integral into two parts:

∫ ln(x) dy dx + ∫ ln(y) dy dx

Evaluating the first integral, we get:

∫ ln(x) [ln(e⁴/x²) - ln(1/x²)] dx

= 8∫(from 1 to e²) ln(x) dx

= 8[xln(x) - x] (from 1 to e²)

= 8e² ln(e²) - 8e² + 8

Evaluating the second integral, we get:

∫ ln(y) [ln(e⁴/x²) - ln(1/x²)] dx

= 8∫ ln(y) dx

= 8[e² ln(e²) - e² + 1]

Adding the two integrals together, we get:

8e² ln(e²) - 8e² + 8 + 8e² ln(e²) - 8e² + 8

= 16e² ln(e²) - 16e² + 16

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer

1360

Step-by-step explanation:

4x10 is 40 so you'd have to multiply 40x34 which is 1360

136×10 is the amount of water used by the airplane to deliver 34

trips.

Multiplication is a method of finding the product of two or more numbers

Given that Airplanes are sometimes used to fight fires.

A certain airplane can deliver 4 x 10 liters of water in one trip.

We need to find how much water can the  airplane deliver in 34

trips

Let us find the water used for one trip.

1 trip is 4 x 10 liters which is 40 litres.

Now we have to find for 34 trips.

We have to multiply 34 with 40 litres

34×40

Thirty four times forty

1360

Now we have to convert it to the scientific notation 136×10

Hence, 136×10 is the amount of water used by the airplane to deliver 34

trips.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

Answer:

362

Step-by-step explanation:

15xy=5430...therefore 5430divided by 15 is 362...so 362x15 their product is 5430

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

For more such questions on algebraic, click on:

https://brainly.com/question/4344214

#SPJ8

Answer:

the answer is x=−5/4

Step-by-step explanation:

hoped I helped:)

Answer:

5x=45

Step-by-step explanation:

Solve: 4+x=12

~ Subtract 4

~ x = 8

~ (not nine)

-----

Solve: 2x=20

- Divide by 2 (isolate x)

- x = 10

- (not nine)

-----

Solve: x+7=26

~ Subtract 7

~ x = 19

~ (not nine)

-----

Solve: 5x=45

- Divide by 5 (isolate x)

- x = 9

- (Nine! Our answer)

Answer:

the slope is 2

y- intercept is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Isolate y:

y=-2x+7

2) Identify the slope (it is the coefficient of x after isolating y):

slope=-2

3) Replace x=0 to find the y intercept:

y=-2(0)+7=7.