calculate the volume of a cylinder of height 7 cm and radius 4 cm (take π)​

Answer:

y(x) = (7/25)x^2 + 4

Step-by-step explanation:

Given:

x = 5*sqrt(t) .............(1)

y = 7*t+4 ..................(2)

solution:

square (1) on both sides

x^2 = 25t

solve for t

t = x^2 / 25  .........(3)

substitute (3) in (2)

y = 7*(x^2/25) +4

y= (7/25)x^2 + 4

Answer:

Answer is A

Step-by-step explanation:

The equation (x - 3)² + (y - 1)² = 9, is represented by the second graph as its center is at point (3, 1) and its radius is 3 units, both similar to the equation. Thus, option B is the right choice.

The general equation of a circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the point where the center of the given circle lies, and r is the radius of this given circle.

In the question, we are asked to find the graph from the given options which represents the equation (x - 3)² + (y - 1)² = 9.

Comparing the given equation, (x - 3)² + (y - 1)² = 9, to the general equation, (x - h)² + (y - k)² = r², we can say that h = 3, k = 1, and r = 3.

Thus the center of the given circle lies at the point (3, 1) and its radius is 3 units.

Now we check the options to find the matching circle:

Therefore, the equation (x - 3)² + (y - 1)² = 9, is represented by the second graph as its center is at point (3, 1) and its radius is 3 units, both similar to the equation. Thus, option B is the right choice.

Learn more about circles at

https://brainly.com/question/1559324

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Answer:

y = 2x/3 - 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

Take the negative reciprocal of the other line

m = 2x/3

Step 2: Rewrite equation (You already found b because it gave you y-int)

y = 2x/3 - 15

Answer:

Step-by-step explanation:

Ya que mezclan café colombiano, brasileño, guineano y venezolano en un paquete de un kilo. Igualmente deben agregar los cafés juntos.

Para encontrar la cantidad igual para cada café en 1 kilo, divida 1 kilo y los 4 cafés. Entonces la cantidad sería 1/4 (o 0.25) de café por kilo. La respuesta significa que cada uno de los cuatro cafés pesa 1/4 kilo.

Como cada café representa 1/4 kilo, el café colombiano representa 1/4 kilo.

Si necesita ayuda adicional, comente a continuación.

Answer:

(9, -1)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2} )[/tex]

Since we already have 1 endpoint and the midpoint, all we need to do is set the equation up to find the other endpoint:

12.5 = (16 + x)/2

25 = 16 + x

x = 9

-4 = (-7 + y)/2

-8 = -7 + y

y = -1

Answer:

(9, -1)

Step-by-step explanation:

(16 + x)/2= 12.5

16 + x = 25

x = 9

(-7 + y)/2 = -4

-7 + y = -8

y = -1

Answer:

841

Step-by-step explanation:

If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.

If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.

So we already know the last digit must be 1.

The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:

811, 841, 871

The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841

So Tommy's number is 841.

Tommy's number is 841.

In this question we must determine first the least common number of 4, 5, 6 and 7, which is the product of these four numbers, that is to say:

[tex]x = 4\times 5\times 6 \times 7[/tex]

[tex]x = 840[/tex]

This is the least number that is divisible both for 4, 5, 6 and 7. Now we add this number by 1 to determine what number Tommy thought:

[tex]y = x + 1[/tex]

[tex]y = 841[/tex]

Tommy's number is 841.

To learn more on divisibility, we kindly invite to check the following verified question: https://brainly.com/question/369266

Answer:

[ 5.456, 5.544]

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 5.5 ounces

Standard deviation r = 0.2 ounces

Number of samples n = 80

Confidence interval = 95%

z value (at 95% confidence) = 1.96

Substituting the values we have;

5.5+/-1.96(0.2/√80)

5.5+/-1.96(0.022360679774)

5.5+/-0.043826932358

5.5+/-0.044

= ( 5.456, 5.544) ounces

Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces

Answer:

[tex]296.693\leq x\leq 319.307[/tex]

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

[tex]x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }[/tex]

Where x' is the sample mean, s is the population standard deviation, n is the sample size and [tex]z_{\alpha /2}[/tex] is the z-score that let a proportion of [tex]\alpha /2[/tex] on the right tail.

[tex]\alpha[/tex] is calculated as: 100%-99%=1%

So, [tex]z_{\alpha/2}=z_{0.005}=2.576[/tex]

Finally, replacing the values of x' by 308, s by 17, n by 15 and [tex]z_{\alpha /2}[/tex] by 2.576, we get that the confidence interval is:

[tex]308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307[/tex]

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▹ Answer

Kylie's circle is approximately 22 cm larger than the area of Paige's circle.

▹ Step-by-Step Explanation

Kylie's Circle - 8 cm diameter → 4 cm radius

Paige's Circle - 3 cm radius

Kylie's Circle

A= πr²

A = 3.14(4)²

A = 50.24 ≈ 50 cm²

Paige's Circle

A = πr²

A = 3.14(3)²

A = 28.26 ≈ 28 cm²

50 - 28 = 22 cm

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Hello!

[tex]\boxed{ \bf The~area~of~Kylie's~circle~is~approximately~22~cm^2~larger~than~Paige's.}[/tex]

We'll start by calculating the areas of Kylie and Paige's circles.

Kylie's Circle:

A = πr²

Since we need the radius for the formula, we must divide the diameter in half to get it.

r = d ÷ 2

r = 8 ÷ 2

r = 4

Now, let's substitute our values into the formula.

A = 3.14 × 4²

A = 3.14 × 16

A = 50.24 cm²

Paige's Circle:

A = πr²

A = 3.14 × 3²

A = 3.14 × 9

A = 28.26 cm²

We can round both of these areas to the nearest whole number. Then, we must subtract Paige's circle area by Kylie's.

50 - 28 = 22

Answer:

it indicates that it is infinitely many solutions

Answer:

The 20th digit is 6.

Step-by-step explanation:

1. Add 2/9 and 1/7.

2/9 + 1/7 = 23/63

2. Convert to a decimal.

23 ÷ 63 = 0.365079...

If you continue to divide, you will notice that the number repeat. So, the decimal would be 0.365079365079...

3. Find the 20th digit.

0.365079365079365079365079

Answer:

6

Step-by-step explanation:

Aops question

We have $\frac29 + \frac17 = \frac{14}{63} + \frac{9}{63} = \frac{23}{63}$. Expressing $\frac{23}{63}$ as a decimal using long division, we find $\frac{23}{63}=0.\overline{365079}$. Therefore, every 6th digit after the decimal point is a 9. So, the 18th digit is a 9; the 20th digit is 2 decimal places later, so it is a $\boxed{6}$.

It's in Latex

Answer:

28π cm²

Step-by-step explanation:

Circumference Formula: C = 2πr

Simply plug in r into the formula:

C = 2π(14)

C = 28π or 87.9646

Answer:

28π cm

Step-by-step explanation:

The circumference of a circle has the formula 2πr.

2 × π × r

Where r is the radius.

2 × π × 14

28 × π

= 28π

The circumference is 28π and the unit is centimeters.

Answer:

[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] \bar X= 58.33[/tex]

[tex]s= 10.78[/tex]

Then we can fin the limits for one deviation within the mean like this:

[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]

[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]

And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:

[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]

Step-by-step explanation:

First we need ot calculate the mean and deviation with the following formulas:

[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] \bar X= 58.33[/tex]

[tex]s= 10.78[/tex]

Then we can fin the limits for one deviation within the mean like this:

[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]

[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]

And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:

[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]

Answer:

x = 1/2

Step-by-step explanation:

4x-3 + 5 = 2x + 7 - 8x

Combine like terms

4x +2 = 7-6x

Add 6x to each side

4x+2+6x = 7-6x+6x

10x+2 = 7

Subtract 2 from each side

10x+2-2 = 7-2

10x = 5

Divide by 10

10x/10 = 5/10

x = 1/2

Answer:

4x-3+5=2x+7-8x

4x-3+5=7-6x

4x+2=7-6x

4x+6x=7-2

10x=5

x=1/2

Answer: 11/12

Step-by-step explanation:

First find the LCM of 4 and 3(12).  Then make the denominator of both fractions 12(3/12 and 8/12).  Then add the fractions to get that they ate 11/2 of the lasagna.

Hope it helps <3

Answer:

36

Step-by-step explanation:

All the factors of 6 are 1, 2, 3, and 6.

The factors are positive.

Find the product.

1 × 2 × 3 × 6

6 × 6 = 36

Answer: 36

Step-by-step explanation:

The positive factors of 6 are 1,2,3 and 6 .

Now to find their product multiply them all together.

1 * 2 * 3 * 6 = 36

Answer:

Use the formula

a

n

=

a

1

r

n

−

1

to identify the geometric sequence.

Step-by-step explanation:

a

n

=

64

4

n

−

1 hope this helps you :)

Answer: The answer is in the steps.

Step-by-step explanation:

f(1)= 64  

f(n)=1/4(n-1)      n in this case is the nth term.

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually​ exclusive, why is ​? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

the ways of choosing 2 cards out of 4, is calculator by

[tex] \binom{4}{2} = 6[/tex]

so, 6 ways to select 2 cards.

but in only one way we can have 2 even cards. thus, the answer is

[tex] \frac{1}{6} [/tex]

Answer:

x < -12

Step-by-step explanation:

−21x>6

Multiply both sides by -2(−2)2−1x>(−2)6

Simplify - remember to flip the inequality symbolx<−12

Graph: ←-----------o -12

Interval Notation: (-∞, -12)

Answer:

x > 4

Step-by-step explanation:

x-6>-2

Add 6 to each side

x-6+6>-2+6

x > 4

Answer:

Step-by-step explanation:

[tex] - \frac{1}{2} + c = \frac{31 }{4} \\ \\ c = \frac{31}{4} + \frac{1}{2} = \frac{31 - 2}{4} \\ \\ c = \frac{29}{4} [/tex]

Hope this helps you

Answer:

(a) Yes, Fredrick’s data set contains an outlier.

(b) No, the median value is not 12 home runs.

(c) Yes, the mean value is about 12.6 home runs.

(d) Yes, the median describes Fredrick’s data more accurately than the mean.

(e) No, the mean value doesn't stay the same when the outlier is not included in the data set.

Step-by-step explanation:

We are given that Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play.

Firstly, arranging our data set in ascending order we get;

1, 12, 12, 12, 13, 13, 14, 15, 16, 18.

(a) The statement that Fredrick’s data set contains an outlier is true because in our data set there is one value that stands out from the rest of the data, which is 1.

Hence, the outlier value in the data set is 1.

(b) For calculating median, we have to first observe that the number of observations (n) in the data set is even or odd, i.e;

                    Median  =  [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]

                    Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations in Fredrick's data set is even, i.e. n = 10.

SO,  Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{(\frac{10}{2})^{th} \text{ obs.}+(\frac{10}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{(5)^{th} \text{ obs.}+(6)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{13+13 }{2}[/tex]  = 13 home runs

So, the statement that the median value is 12 home runs is not correct.

(c) The mean of the data set is given by;

          Mean =  [tex]\frac{1+ 12+ 12+ 12+ 13+ 13+14+ 15+ 16+ 18}{10}[/tex]

                     =  [tex]\frac{126}{10}[/tex]  = 12.6 home runs

So, the statement that the mean value is about 12.6 home runs is correct.

(d) The statement that the median describes Fredrick’s data more accurately than the mean is correct because even if the outlier is removed from the data set, the median value will remain unchanged but the mean value gets changed.

(e) After removing the outlier, the data set is;

12, 12, 12, 13, 13, 14, 15, 16, 18.

Now, the mean of the data =  [tex]\frac{12+12+ 12+ 13+ 13+ 14+ 15+ 16+ 18}{9}[/tex]

                                             =  [tex]\frac{125}{9}[/tex]  =  13.89

So, the statement that the mean value stays the same when the outlier is not included in the data set is incorrect.

Answer:

Fredrick’s data set contains an outlier.

The mean value is about 12.6 home runs.

The median describes Fredrick’s data more accurately than the mean.

Step-by-step explanation:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Hope this helps...

Answer:

x = 28°

Step-by-step explanation:

Take angle on a straight line which is equal to 180°

180° =(108 + 44 + x)°

180° = 152° + x°

180° - 152° = x°

28° = x

Answer:

The variance is "9475" and standard deviation is "97.3396112".

Step-by-step explanation:

Let's all make the assumption that X seems to be the discrete uniformly distributed random indicating demand for units, and that f(x) has been the corresponding probability.

The expected value of the monthly demand will be:

⇒  [tex]E(X)=\sum_{x} x\times f(x)[/tex]  

⇒            [tex]=00\times 0.20+400\times 0.30+500\times 0.35+600\times 0.15[/tex]

⇒            [tex]=445 \ units[/tex]

The variance will be:

⇒  [tex]Var(X)=E(X^2)-{E(X)}^2[/tex]

⇒  [tex]E(X^2)=\sum_{x} x^2\times f(x)[/tex]

                [tex]=(300)^2\times 0.20+(400)^2\times 0.30+(500)^2\times 0.35+(600)^2\times 0.15[/tex]

                [tex]=207500[/tex]

⇒  [tex]Var(X)=207500 - (445)^2[/tex]

                  [tex]=9475[/tex]

The standard deviation will be:

⇒  [tex]X=\sqrt{var(X)}[/tex]

         [tex]=97.3396112[/tex]

Answer:

a) 17 cm

b) 62

c) 28

Step-by-step explanation:

a) HT² = HW² + WT²

HT² = (15² + 8²) cm² = 225 + 64 = 289 cm²

HT = √289cm² = 17 cm

b) Sin(∠T) = HW/HT = 15/17 = 0.8824

∠T = Sin∧-1 (0.8824) = 62°

c) ∠H = 90°- 62° = 28°

Answer: We have two solutions:

1000 - 998 = 2

1001 - 999 = 2

Step-by-step explanation:

So we have the problem:

****-*** = 2

where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.

we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:

So we could write this as:

1000 - 998 = 2

now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:

1000 - 998 + 1 - 1 = 2

(1000 + 1) - (998 + 1) = 2

1001 - 999 = 2

now, there is a trivial case where we can find other solutions where the digits can be zero, like:

0004 - 0002 = 2

But this is trivial, so we can ignore this case.

Then we have two different solutions.

Answer: top left: balanced                 top right: left side is down

bottom left: right side is down          bottom right: left side is down

Step-by-step explanation:

           top left                                     top right                

  left side   right side                   left side       right side

   2(40)       20(4)                           2(4)               3(2)

    80    =    80                                 8        ≠         6

       Balanced                              down              up

      bottom left                                 bottom right                

  left side   right side                   left side       right side

   2(.75)       4(.5)                           .8(450)               7.3(.2)

    1.5     ≠    2.0                               360        ≠         1.46

     up         down                            down                 up

Answer:

b. 14

Step by step explanation: