can you show the check too? so i can understand

ANSWER:

669.87 cubic feet

STEP-BY-STEP EXPLANATION:

The volume of the cone is given as follows:

We know the value of the radius and height, we replace and calculate the volume:

Therefore, the volume of the cone is 669.87 cubic feet.

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula

P(X=x|B) = P(X=x and B)/P(B).

Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:

P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.

Therefore, the conditional PMF P X∣B (x) is given by:

P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13

(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.

(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.

(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:

P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...

(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.

(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.

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*see attachment for the megaphone being referred to here

Answer:

9%

Step-by-step explanation:

==>Given:

Conical megaphone with the following dimensions:

Slant height (s) = 2.25 ft

Diameter (D) = 1.2 ft (radius r = 0.6 ft)

π = 3.1

Area covered by sticker on one side = area of square = 6 in × 6 in = 0.5 ft × 0.5 ft = 0.25 ft²

==>Required

% of the surface of area of the conical megaphone that is covered by the sticker = area covered by the sticker ÷ surface area of megaphone × 100

==>SOLUTION

Area covered by sticker on both sides = 0.25 ft² + 0.25 ft² = 0.5 ft²

Surface area of the megaphone = surface area of a cone = πrs + πr²

S.A of megaphone = (3.14 × 0.6 × 2.25) + (3.14 × 0.6²)

S.A = 4.239 + 1.1304

S.A = 5.3694 ft²

Therefore, % of the surface of area of the conical megaphone that is covered by the sticker = 0.5 ÷ 5.3694 × 100

= 9.31202741

= 9%

Answer:

Statistics show the megaphone was a success in South Carolina.

Step-by-step explanation:

When finding the area of a rectangle, it is correct to use the formula "length x width" or "width x length."

These two expressions are interchangeable because the multiplication operation is commutative, meaning the order of multiplication does not affect the result.

The reason why "length x width" or "width x length" is used to calculate the area of a rectangle is based on the definition of area. The area of a rectangle represents the amount of two-dimensional space enclosed within its boundaries.

The length of a rectangle refers to the longer side or dimension, while the width refers to the shorter side or dimension. By multiplying the length and width together, we are essentially determining the product of the two dimensions, which represents the total area of the rectangle.

For example, if we have a rectangle with a length of 6 units and a width of 4 units, the area can be calculated as follows:

Area = Length x Width = 6 units x 4 units = 24 square units

In summary, it is correct to use "length x width" or "width x length" to find the area of a rectangle because the order of multiplication does not affect the result, and the product of the dimensions represents the total enclosed space within the rectangle.

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The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

1. 1, 2, 5, 10

2. 1, 5, 25

3. 1, 2, 4, 8, 16, 32

4.  1, 3, 9, 27, 81

5. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

6. 1, 2, 4, 5, 10, 20, 25, 50, 100

7. 1, 5, 25, 125

8. 1, 2, 4, 11, 22, 44

Step-by-step explanation:

Hope this helps!

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

(x - 5)^2 = 15 and (x + 13)^2 = 3

Step-by-step explanation:

Sure, I can help you with that.

Let's start with the first equation:

0 = x^2 - 10x + 10

To rewrite this equation in the form (x - p)^2 = q, we need to complete the square.

First, let's factor out the coefficient of x^2:

0 = 1(x^2 - 10x + 10)

Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (10/2)^2 = 25:

0 = 1(x^2 - 10x + 25 - 25 + 10)

Now we can rearrange the terms inside the parentheses and simplify:

0 = 1((x - 5)^2 - 15)

Finally, we can rewrite the equation in the desired form by adding 15 to both sides:

15 = (x - 5)^2

So the first equation in the form (x - p)^2 = q is:

(x - 5)^2 = 15

Now let's move on to the second equation:

x^2 + 26x + 167.5 = 0

Again, we need to complete the square to rewrite this equation in the form (x - p)^2 = q.

First, let's factor out the coefficient of x^2:

x^2 + 26x + 167.5 = 1(x^2 + 26x + 167.5)

Next, we want to add and subtract a value that will allow us to complete the square inside the parentheses. In this case, we will add and subtract (26/2)^2 = 169:

x^2 + 26x + 167.5 = 1(x^2 + 26x + 169 - 169 + 167.5)

Now we can rearrange the terms inside the parentheses and simplify:

x^2 + 26x + 167.5 = 1((x + 13)^2 - 1.5)

Finally, we can rewrite the equation in the desired form by adding 1.5 to both sides:

1.5 = (x + 13)^2 - 1.5

So the second equation in the form (x - p)^2 = q is:

(x + 13)^2 = 3

Answer:

6:21

Step-by-step explanation:

because there is 6 roses and 21 other types 6/21 = 6:21

Answer:

6:21

ratio indicates how many times one number contains another.

it can be simplified to 2:7, because the HCF of 6 and 21 is 3, it's been divided by 3.

hope it helps.

Answer:

50 m

Step-by-step explanation:

Formula:

V = lwh

V = (5)(4)(5/2)

V = 20 (5/2)

V = 50

Answer: 3x^2 - 7x - 6

Step-by-step explanation:

Answer:

3x^2-7x-6

Step-by-step explanation:

(3x+2)(x-3)

3x^2-9x+2x-6

3x^2-7x-6

Hope this helps.

Answer: the sum is 1.08

Answer:

Opal saves more

Step-by-step explanation:

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

\( \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }} \)

Where ,

Therefore , by Substituting the given values in the above Formula :-

\( \dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height } \)

\( \longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 } \)

\( \longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6} \)

\( \longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6} \)

\( \longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base } \)

\( \longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} } \)

\( \longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}} \)

Hence :-

\( \underline {\rule {180pt} {4pt}} \)

A triangle has an area of 48 square centimetres. The height of the triangle is 6 centimetres. What is the base of the triangle ?

\( \blue{\boxed{Area \: of \: triangle = \frac{1}{2} \times b \times h}}\)

Where ,

In this question the concept belongs to the areas of two dimensional shapes i.e. how we can find length , breadth or height with the help of given area .

\( \longmapsto \: 48 = \frac{1}{2} \times b \times 6\)

Now , transposing 2 to left hand side :

\( \longmapsto \: 48 \times 2 = 1 \times b \times 6\)

Now , multiplying 48 with 2 and multiplying b with 1 and 6 :

\( \longmapsto \: 96 = 6b\)

Now , transposing 6 to left hand side :

\( \longmapsto \: \cancel\frac{96}{6} = b\)

Now , by cancelling them we get :

\( \longmapsto \: \red{ \boxed{ \sf{b = 16 \: cm}}}\)

We know that area of triangle is equal to 48 cm². So :

\( \rightarrow \: \frac{1}{ \cancel2} \times \cancel{16} \times 6 = 48\)

Now , by cancelling 16 with 2 we get :

\( \rightarrow \: 8 \times 6 = 48\)

So , by multiplying we get :

\( \rightarrow \: 48 = 48\)

That means :

\( \rightarrow \: L.H.S = R.H.S\)

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

Copy the triangle.  Rotate it 180° clockwise.  Place it on top of the original triangle so that their diagonals are touching.

This will form a rectangle with length of 9 units and width of 2 units.

Area of a rectangle = width x length

                                 = 2 x 9

                                 = 18 square units

Given the area of the triangle is half the area of the rectangle,

⇒ area of triangle = 18 ÷ 2 = 9 square units

The quadratic equation in standard form is:

\(y = 2x^2 - 8x + 6\)

Here we have the quadratic equation:

\(y = 2*(x - 2)^2 - 2\)

Here we need to expand the right side, remember:

\((a + b)^2 = a^2 + 2ab + b^2\)

Using that, we get:

\(y = 2*(x - 2)^2 - 2 = 2*(x^2 - 4x + 4) - 2\\\\y = 2x^2 - 8x + 8 - 2\\\\y = 2x^2 - 8x + 6\)

This is the quadratic equation in standard form.

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Answer:

see step by step.

Step-by-step explanation:

1) Fill 2L pitcher
2) put those 2L on the 5L pitcher (now the 5L pitcher have 2L)
3) Fill 2L pitcher
4) put those 2L on the 5L pitcher (now the 5L pitcher have 4L)
5) Fill 2L pitcher
6) put what you can on the 5L pitcher (but you will only fill 1L since the capacity is 5L but it previously have 4L, now the 5L pitcher have 5L, but also your 2L pitcher have 1L)
7) drop on the ground the 5L (or use it, is water, don't waste it...)
8) put the 1L left in the 2L pitcher in the 5L pitcher (now the 5L pitcher have 1L)
9) Fill 2L pitcher
10) put those 2L on the 5L pitcher (now the 5L pitcher have 3L)

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

It takes longer on the moon

Step-by-step explanation:

so say d is 64.

on earth: time is: 0.45*8

on moon: time is: 1.11*8

moon is slower

Answer:

Step-by-step explanation:

Earth:

\(t_{Earth}\) = 0.45 √50 = 2.25 √2 ≈ 3.18

Moon:

\(t_{moon}\) = 1.11 √50 = 5.55 √2 ≈ 7.85

\(t_{moon}\) > \(t_{Earth}\)

It takes more time on the moon for a rock to fall 50 m.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

the one with the triangles because the triangles are only divide into 3 not 4

Answer:

1/12

Step-by-step explanation:

1/12 in fraction form. 1/4 ÷ 3 = 0.0833 in decimal form.

P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55, P(Supplier 3 and defective) = 0.014, P(Defective) = 0.065, and P(From supplier 3 | defective): = 0.014/0.065 = 0.2154.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

From the given information we have:

Supplier 1

8% of 0.3 = 0.024

0.3 – 0.024 = 0.276

0.3

Supplier 2

6% of 0.2 = 0.012

0.2 – 0.012 = 0.188

0.2

Supplier 3

4% of 0.35 = 0.014

0.35 – 0.014 = 0.336

0.35

Supplier 4

10% of 0.15 = 0.015

0.15 – 0.015 = 0.135

0.15

(1) P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55

(2) P(Supplier 3 and defective) = 0.014

(3) P(Defective) = 0.065

(d) P(From supplier 3 | defective):

= 0.014/0.065 = 0.2154

Hence, P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55, P(Supplier 3 and defective) = 0.014, P(Defective) = 0.065, and P(From supplier 3 | defective): = 0.014/0.065 = 0.2154.

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Answer: 4.5 km>150 cm

Step-by-step explanation:

I think you meant km, because kilograms are not compatible with cm, unless it's kg/m to g/cm.

Kilometers are units of measurement, and so are centimeters, so It'd be accurate only then.