A right rectangular prism is shown.​
To the nearest thousandth of an inch, what is the length of the diagonal, dd?

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

For more questions on bank

https://brainly.com/question/14368059

#SPJ8

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

For more questions on the area of the shaded region

https://brainly.com/question/23973962

#SPJ8

Answer:

The answer would be 6/18 or 3/9

Step-by-step explanation:

Answer:

if dividing...0.3

if multiplying...0

Step-by-step explanation:

Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the segment is 4 units long

hope this helps

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

Learn more about composite shapes at

https://brainly.com/question/8370446

#SPJ1

Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction

Answer:

17.81, but I would estimate 17.80 so it doesnt look exact.

Step-by-step explanation:

Answer:

I cant answer it its upside down

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Answer:

the answer is -9

Step-by-step explanation:

hope this helped

Answer:

82

Step-by-step explanation:

Answer:

11 1/8

Step-by-step explanation:

took the test :)

The price per cup when a 2-quart carton of yogurt costs $5.36 is $0.67.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.

In this case, a 2-quart carton of yogurt costs $5.36. It should be noted that 1 quart = 4 cups.

Therefore, 2 quarts will be:

= 2 × 4.

= 8 cups

Therefore, the price per cup will be:

= $5.36 / 8

= $0.67

Learn more about word problem on:

brainly.com/question/21405634

#SPJ1

Answer:

x-3y+12

Step-by-step explanation:

Step-by-step explanation:

x-3y+12 is the answer I think

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent

Step-by-step explanation:

SSS similarity postulate

The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.

In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.

i.e.

Then by SSS-similarity criteria , we have

ΔABC ≈ ΔXYZ

BRAINLIEST PLEASE????

The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.

The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.

When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.

To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.

For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.

In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.

For more question on parabola visit:

https://brainly.com/question/29635857

#SPJ8

Answer:

w=9+2u/6

Step-by-step explanation:

-2u+6w=9

+2u on both sides

6w=9+2u

/6 on both sides

w=9+2u/6

Answer:

True

Step-by-step explanation:

When data is skewed toward the high or low end, the mean can be a misleading measure of central tendency.  In such a case the central tendency for the data items shifts toward either the high or low end -- away from the mean.  The median then becomes the better measure.

The mean could be misleading when we don't know the spread of data items is to be considered as the true.

The mean do have the high impact on the extreme observations. In the case when the observation is high so automatically the remaining observations should be low due to which the mean should be increased.

So based on this, we can conclude that The mean could be misleading when we don't know the spread of data items is to be considered as the true.

Learn more about mean here: https://brainly.com/question/24138432

Answer:

20 ft

Step-by-step explanation:

The wall is 12 feet tall, and the base of the ladder is 16 feet away from the wall. This means that the ladder forms a right triangle with the wall and the ground. The hypotenuse of the triangle is the length of the ladder.

We can use the Pythagorean Theorem to find the length of the ladder:

\(\boxed{\bold{a^2 + b^2 = c^2}}\)

Where a is the base of the triangle, b is the height of the triangle, and c is the hypotenuse.

In this case, a = 16 and b = 12.

\(16^2 + 12^2 = c^2\\400=c^2\\c=\sqrt{400}\\c=20\)

Therefore, the ladder must be 20 feet long.

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation \(t=\frac{k}{p}\)

t is time

k is a constant

p is people

We must substitute the values into the equation

\(54=\frac{k}{9}\)

\(k=486\)

Now we must substitute it to find the time

\(t=\frac{486}{6}\)

you get 81

It would take \(6\) builders  \(36\) days to complete the same house.

Builders are those person whose job is to build or repair houses and other buildings.

We have,

\(9\) builders take \(54\) days to complete a house.

So,

\(1\)  builder will take  \((\frac{54}{9})\)  days to complete a house,

In the same way,

\(6\)  builder will take  \((\frac{54}{9}*6)\)  days to complete a house,

i.e.

\(6\)  builder   \(=(\frac{54}{9}*6)= 36\) days.

Hence, we can say that it would take \(6\) builders  \(36\) days to complete the same house.

To know more about  builders and work click here

https://brainly.com/question/16924313

#SPJ2

The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 0, \sigma = 1\)

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Answer:

\(\cos \theta = \frac{\sqrt{15}}{4}}\)

Step-by-step explanation:

Recall that \(\sin(-\theta)=-\sin(\theta)\). Therefore, \(\sin\theta=-(-\frac{1}{4})=\frac{1}{4}\)

In any right triangle:

From \(\sin \theta=\frac{1}{4}\) and \(\tan \theta = \frac{\sqrt{15}}{15}\), we know:

Therefore, the desired answer is \(\boxed{\cos \theta = \frac{\sqrt{15}}{4}}}\).

Just have a good day

The dimension of the unknown variable x of the deck is equal to 14 feet in length.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

Given in the question is a diagram showing a plan for deck. From the data given, we can write -

Area of Deck = 511 ft.

The value of x can be found out by subtracting the area of the deck from the  area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.

Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -

[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].

Mathematically -

580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69

36 + 5.5(20 - x) = 69

36 + 110 - 5.5x = 69

146 - 69 = 5.5x

5.5x = 77

x = 14 ft

Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.

To solve more questions on Area of Shapes, visit the link below-

https://brainly.com/question/28437831

#SPJ2

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

since t takes 11 days for 200 the answer should be from 60 to 590

Step-by-step explanation:

it will take 53 days for 590