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Even
Odd
Neither

Answer:

C

Step-by-step explanation:

Base area = n^2

V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)

The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the base edge length of the solid pyramid be = n units

So , the base area of the pyramid = n² units²

Let the height of the pyramid be = ( n - 1 ) units

And , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

V = ( 1/3 ) n² ( n - 1 ) units³

Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³

To learn more about volume of pyramid click :

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Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

Answer:

x = 2√2

Step-by-step explanation:

Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.

Now, since we see that it is also a right angled triangle, it means one angle is 90°.

Let the equal angles be a.

Thus;

a + a + 90 = 180 (since sum of angles in a triangle is 180)

2a + 90 = 180

2a = 180 - 90

2a = 90

a = 90/2

a = 45°

Now, using sine rule, we can find x. Thus;

x/sin 45 = 4/sin 90

sin 90 = 1

sin 45 = 1/√2

Thus;

x = (4 × 1/√2)/1

x = 4/√2

Let's rationalize the denominator to get;

x = (4/√2) × √2/√2

x = (4√2)/2

x = 2√2

Answer:

[tex]32[/tex][tex] {ft}^{2} [/tex]

Step-by-step explanation:

The area of a square rug = 64 ft²

First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]

[tex] {s}^{2} = 8 [/tex]

Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²

Answer:

3x + 7

Step-by-step explanation:

Answer:

D. H_0: μ > = 3 vs. H_1: μ < 3

Step-by-step explanation:

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.

The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:

[tex]H_0: \mu \geq 3[/tex]

At the alternative hypothesis, we test if the mean is less than 3, so:

[tex]H_1: \mu < 3[/tex]

This means that the correct answer is given by option D.

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

On further simplification, we get

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Hence, the expected winnings for this game are $3.50.

Answer:

65

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

??????

Answer:

3/4

Step-by-step explanation:

Answer:

I think the answer is 4/8 ✨

Answer:

18 inches

Step-by-step explanation:

just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens

A/H=B

108/6=18

Answer:

A.

Step-by-step explanation:

The mean is less than the median so it is skewed to the left or negatively skewed.

Answer:

Step-by-step explanation:

35/4 = 8.75

70/8 = 8.75

x= 1 (hour) y = 8.75$

Answer:

y= 35x/4

Step-by-step explanation:

We can solve this by plotting a graph of these values of (4,35) and (8,70). We find that this graph is a straight line. Meaning we can solve it in the form Y = mx, where m is the gradient. there is no y intercept as our range is greater than x =0. So the gradient will be 70-35/8-4, which is 35/4. Simply substitute it into the formula to obtain y= 35x/4!

Answer:

14 shirts, 15 caps

Step-by-step explanation:

15 x 14 = 210$

14 × = 154$

210+154 = 364$

Answer:

6

Step-by-step explanation:

1 qt = 4 cups

1 cup = 8 fl oz

1.125 qt * (4 cups)/(1 qt) * (8 fl oz)/(1 cup) = 36 fl oz

(36 fl oz)/(6 fl oz) = 6

Answer: 6 servings

9514 1404 393

Answer:

  B) if the x-coordinate is negative, the cosine will equal a negative value

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.

  if the x-coordinate is negative, the cosine will be negative

Answer:

f(x) = |x|+48 would make the vertex be (0,48)

Step-by-step explanation:

Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.

Answer:

The correct answer is "-1.05".

Step-by-step explanation:

Given that,

Sample size,

n = 25

Sample mean,

[tex]\bar X=480[/tex]

Population standard deviation,

[tex]\sigma=95[/tex]

Null hypothesis,

[tex]H_0:\mu=500[/tex]

Alternate hypothesis,

[tex]H_0:\mu>500[/tex]

Then,

The p-value will be:

⇒ [tex]Z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

By putting the values, we get

⇒     [tex]=\frac{480-500}{\frac{95}{\sqrt{25} } }[/tex]

⇒     [tex]=-\frac{100}{95}[/tex]

⇒     [tex]=-1.05[/tex]

Answer:

length = 20

width = 7

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

54 = 2( 3x+2 + 2x-5)

Combine like terms

54 = 2( 5x -3)

Divide each side by 2

54/2 = 5x-3

27 = 5x-3

Add 3 to each side

27+3 = 5x-3+3

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

3x+2 = 3(6)+2 = 18+2 = 20

2x-5 = 2(6)-2 =12-5 =7

Answer:

Length = 20 cm

Width = 7 cm

Step-by-step explanation:

Given that :-

To find :-

Find the measures of length and width

Solution :-

Using Formula :-

Perimeter of rectangle = 2 ( l + b )

Where,

Substitute the values

54 cm = 2 ( 3x + 2 + 2x - 5 )

Combine like terms

54 cm = 2 ( 3 x + 2 x + 2 - 5)

54 cm = 2 ( 5 x -3)

Simplify both sides of the equation.

54 = 2( 5x− 3 )

54 = (2)(5x) + (2)(−3). .. ( Distribute )

54 = 10x +−6

54 = 10x −6

Flip the equation.

10x −6 = 54

Add 6 to both sides.

10x −6 + 6 = 54 + 6

10x = 60

Divide both sides by 10.

10x / 10 = 60 / 10

x = 6

Therefore ,

Length = 3x + 2 =3 ×6 + 2 = 18 + 2 = 20 cm

Width = 2x- 5 = 2 × 6 - 5 = 12 - 5 = 7 cm

Answer:

1/4

Step-by-step explanation:

Have a nice day :)

ten un buen dia :)

Answer: 3/16 es menor than 1/4.

Answer:

b is correct (-16 by 2)

Step-by-step explanation:

Answer:

x：y：z

1：4

4：5

-------------

1：4：5

-------------

let a:b:c＝k:4k:5k

k+4k+5k=50

10k=50

k=5

y=4(5)

=20(D)

Answer:

D. 20

Step-by-step explanation:

x:y:z

1:4:5

1+4+5=10

50÷10=5

1=5

4=?

4=4×5

=20

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Answer:

En total hay 36 gallinas en el gallinero.

Step-by-step explanation:

Dado que si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, para determinar cuántas gallinas hay sabiendo que cada gallina tiene un pico, una cresta y dos patas, se debe realizar el siguiente cálculo:

X + X + 2X = 144

4X = 144

X = 144 / 4

X = 36

Por lo tanto, en total hay 36 gallinas en el gallinero.

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

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.