I need help with the last question help plz

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

Step-by-step explanation:

The first part is already solved.

We got the scale factor

Use this to find the missing side:

Answer:

a. EXPLAINED IN THE PIC

b. 20

Step-by-step explanation:

*in the line 4, the number which I wrote, was 4*

The volume of the larger cube is 227 inches cube.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Volume of a cube is describe below:

v = L³

where

L = length

The small cube has the following volume:

v = 95 in³

Let

The side length of the small cube = x

Therefore,

95 = x³

x = ∛95

x = 4.56290264

x ≈ 4.6

Its side length is 1.5 inches less than a second larger cube.

Therefore,

length of larger length cube = (x + 1.5 )inches = 4.6 + 1.5 = 6.1 inches

Therefore, the volume of the larger cube can be found as follows:

Volume = 6.1³

volume = 226.981

volume ≈ 227 inches³

Hence, The volume of the larger cube is 227 inches cube.

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Answer:

n is 1/3

Step-by-step explanation:

if u solve the problem normally then it gives 0/0 form so

x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.

(2 x 0 ^2-1)/3 = -1/3

since the function is continuous at x = 0 so n = -1/3

Answer:

I will help

Step-by-step explanation:

Answer:

\(D = 72.2\ yd\)

Step-by-step explanation:

Given

\(Length\ (L)= 58\ yd\)

\(Width \ (W)= 43\ yd\)

Required

Determine the diagonal (D)

The relationship between D, L and W can be gotten using Pythagoras Theorem:

\(D^2 = L^2 + W^2\)

Substitute values for L and W

\(D^2 = 58^2 + 43^2\)

\(D^2 = 3364 + 1849\)

\(D^2 = 5213\)

Take Square root of both sides

\(D = \sqrt{5213}\)

\(D = 72.2011080247\)

\(D = 72.2\ yd\) (Approximated)

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

\(\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110\)

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

Answer:
the answer should be A

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Let the original quantity of marbles of the bag be y.

\(\frac{2}{3} (\frac{1}{2} )y=12\)

y=36

Most samples of 6 adults would differ from mean by no more than 1.0

In our culture, computer equations are also employed to define the systems that truly influence the social or political reality we live in. This kind of prescriptive usage of statistical equations is described.

(a) The creation of approaches and procedures utilizing statistical as well as other mathematical treatments for the quantitative analysis of data in order to investigate political structures and behavior. Questions pertaining to probability models, probability theory, measurement, and data are included.

Here n=6

p=0.77

q=1-p=1-0.77=0.23

mean=np=6*0.77=4.62=4.6

variance=npq=6*0.77*0.23=1.0626=1.1

standard deviation=sqrt(variance)=sqrt(1.0626)= 1.030825=1.0

M = 4.6

o2 = 1.1

0= 1.0

Most samples of 6 adults would differ from  mean by no more than 1.0

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Answer:

a

  \(P(a | e') =  0.22\)

  \(P(b | e') =  0.28\)

  \(P(c | e') =  0.33\)

b

  \(P(a | e' , d' , b') = 0.57  \)

Step-by-step explanation:

From the question we are told that

   The probabilities are

Supplier  chosen            A                     B                    C            

Probability                P(a) = 0.20       P(b) =  0.25   P(c) =  0.15      

                                       D                      E

                                P(d) =  0.30     P(e) = 0.10

Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

\(P(a | e') =  \frac{P (a \  and \  e')}{P(e')}\)

      \(P(a | e') =  \frac{P (a)}{P(e')}\)

     \(P(a | e') =  \frac{P (a)}{1- P(e)}\)

=>   \(P(a | e') =  \frac{ 0.20}{1- 0.10}\)

=>   \(P(a | e') =  0.22\)

Generally the new probability of companies B  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

\(P(b | e') =  \frac{P (b \  and \  e')}{P(e')}\)

      \(P(b | e') =  \frac{P (b)}{P(e')}\)

     \(P(b | e') =  \frac{P (b)}{1- P(e)}\)

=>   \(P(b | e') =  \frac{ 0.25}{1- 0.10}\)

=>   \(P(b | e') =  0.28\)

Generally the new probability of companies C  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

\(P(c | e') =  \frac{P (c \  and \  e')}{P(e')}\)

      \(P(c | e') =  \frac{P (c)}{P(e')}\)

     \(P(c | e') =  \frac{P (c)}{1- P(e)}\)

=>   \(P(c | e') =  \frac{ 0.15}{1- 0.10}\)

=>   \(P(c | e') =  0.17\)

Generally the new probability of companies D  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

\(P(d | e') =  \frac{P (d \  and \  e')}{P(e')}\)

      \(P(d | e') =  \frac{P (d)}{P(e')}\)

     \(P(d | e') =  \frac{P (d)}{1- P(e)}\)

=>   \(P(d | e') =  \frac{ 0.30}{1- 0.10}\)

=>   \(P(c | e') =  0.33\)

Generally the probability that  B, D , E  are not chosen this year is mathematically represented as

      \(P(N) =  1 - [P(e) +P(b) + P(d) ]\)

=>       \(P(N) =  1 - [0.10 +0.25  +0.30 ]\)

=>       \(P(N) =  0.35\)

Generally the probability that A is chosen given that E , D , B  are rejected this year is mathematically represented  as

      \(P(a | e' , d' , b') =  \frac{P(a)}{P(N)}\)

=>     \(P(a | e' , d' , b') =  \frac{0.20 }{0.35 }\)    

=>     \(P(a | e' , d' , b') = 0.57  \)

6 hundreds+ 30 ones = 630

630 + 2 tenths+ 4 hundredths + 6 thousandths=

Answer:

80

Step-by-step explanation:

You need to divide 20 by 1/4 as 1/4 of the people support it, and you need 20. 20/(1/4)=80.

The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Step-by-step explanation:

a^4-6a^2-7-8x-x^2

a^4-6a^2-8x-x^2-7

-5a^2-9x^3-7

Answer: 1/3

Step-by-step explanation:

In a multiple-choice examination with 3 choices for each question, the probability of guessing the correct answer is 1/3. Since you are trying to guess exactly 6 of 10 answers correctly, this means that you will be guessing incorrectly on 4 of the 10 questions. The probability of guessing incorrectly on a single question is 2/3.

To find the probability of guessing exactly 6 of 10 answers correctly, we can use the binomial probability formula, which is given by the following expression:

P(x) = (n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

In this formula, n is the total number of trials, x is the number of successes, p is the probability of success on a single trial, and 1-p is the probability of failure on a single trial.

Plugging in the values for this problem, we get:

P(6) = (10!/(6!(10-6)!) * (1/3)^6 * (2/3)^4

= 210 * (1/3)^6 * (2/3)^4

= 210 * (1/3^6) * (2/3^4)

= 210 * (1/3^6) * (1/3^2)

= 210 * (1/3^8)

= 210 * (1/6561)

= 0.0322

So the probability of guessing exactly 6 of 10 answers correctly in a multiple-choice examination with 3 choices for each question is approximately 0.0322, or about 3.22%.

Answer:

P(X = 2) = 0.22.

Step-by-step explanation:

We are given with the following probability distribution below;

          X                                         P(X)

          1                                          0.05

          2                                         0.22

          3                                         0.35

          4                                         0.30

          5                                        0.08    

       Total                                       1        

As the sum of all the probabilities is equal to 1, which means that this is a valid probability distribution.

Now, from the table above P(X = 2) = 0.22.

Hence, the probability that the X is equal to 2 is 0.22 or 22%.

The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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Answer:

ok

Step-by-step explanation:

Answer:

well the answer is 13

Step-by-step explanation:

The way you can figure this out is subtract 10 from 75 to get 65 and then you divide 65 by 4.75 to get 13 with a huge decimal but you just have 13 because you cant go for part of a ride.

PLEASE PUT BRAINLIEST.

Answer:

14

Step-by-step explanation:

75.00-10=65

65 divide 4.50=14

Answer:w

Step-by-step explanation:

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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Add the rational expression

\( \sf \large{ \frac{3}{6x {}^{3} } + \frac{4x}{2x}}\)

\( \sf \large{ \frac{1}{2x {}^{3} } + 2}\)

\(\sf \large \purple{ = \frac{4x {}^{3} + 1 }{2x {}^{3} }}\)

Answer:

3748096

Step-by-step explanation:

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

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Step-by-step explanation:

hope this helps

Answer:

1) 2 seconds

2) 70 feet

Step-by-step explanation:

we have the formula h = -16x² + 64x + 6

where h = height of ball and x = time in seconds

for 1 , we want to find how long it will take the ball to reach its maximum height.

if we want to find how long it will take to reach its maximum height , then we want to find the x value of vertex ( vertex = peak point and in this situation represents the maximum height and time )  as x = time in this scenario.

the x value of the vertex can be calculated using the formula x = -b/2a

where a and b derive from the formula put in quadratic form ax² + bx + c

so we have -16x² + 64x + 6 , 16 takes the spot of a so a = -16 and 64 takes the spot of b so b = 64

x = -b/2a

b = -16 and a = 64

hence, x = -(64)/2(-16)

==> remove parenthesis

x = -64/2(-16)

==> multiply 2 and -16

x = -64/-32

==> divide -64 by -32

x = 2

The x value of the vertex is two meaning it will take two second for the ball to reach its maximum height.

For 2) we want to find how high the ball will be when it reaches its maximum height

In other words we want to find the y value of the vertex as y = height of ball and we want to find the height of the ball at its maximum height which is at the vertex.

to find the y value of the vertex we simply plug in the x value into the equation and evaluate

we have -16x² + 64x + 6 and the x value of the vertex is 2

so we get -16(2)² + 64(2) + 6

==> evaluate exponent

y = -16(4) + 64(2) + 6

==> multiply -16 and 4

y = -64 + 64(2) + 6

==> the -64 cancels out the x2 in 64(2)

y = 64 + 6

==> add 64 and 6

y = 70

The y value of the vertex is 70 meaning the ball was at 70 feet at its maximum height

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