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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:

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:

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:

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

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:

[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:

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:

b is correct (-16 by 2)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Have a nice day :)

ten un buen dia :)

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

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:

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|.

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

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.

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:

3/4

Step-by-step explanation:

Answer:

I think the answer is 4/8 ✨

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:

65

Step-by-step explanation:

See image below:)

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:

A.

Step-by-step explanation:

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

Answer:

14 shirts, 15 caps

Step-by-step explanation:

15 x 14 = 210$

14 × = 154$

210+154 = 364$

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.

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

Answer:

3x + 7

Step-by-step explanation:

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:

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

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:

Step-by-step explanation:

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