find
the
radius of
the base of a
cylinder if the curved
surface
area is 100cm2 and
total surface
area is
408 cm2?
​

Answer:

F test = 2.54

Step-by-step explanation:

We are given two samples

Standard deviation of the first sample = 3.9288

Standard deviation of the second sample = 6.2597

F test statistic = Variance of the Larger sample/ Variance of the smaller sample

Variance = (Standard deviation)²

Variance for the first sample = 3.9288²

= 15.43546944

Variance for the second sample = 6.2597² = 39.18384409

F test = 39.18384409/15.43546944

= 2.5385586258

Therefore, the F test approximately = 2.54

Answer:

2.539

Step-by-step explanation:

Standard deviation of sample 1 = 3.9288

Standard deviation of sample 1 = 6.2597(

Standard deviation = √variance

Variance = (standard deviation)^2

Variance of sample 1 = (3.9288)^2 = 15.43546944

Variance of sample 2 = (6.2597)^2 = 39.18384409

For two samples:

F stat = (variance 1) / (variance 2)

Since the variance of sample is large, we place it in th e numerator

F stat = (39.18384409) / (15.43546944)

F stat = 2.5385586

F stat = 2.539

Answer:

v=w/y

Step-by-step explanation:

If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.

Answer:

-13

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

HOPE THIS HELPS U!!!

[tex]11v+9=11\cdot5+9=55+9=64[/tex].

Hope this helps.

Answer:

64

Step-by-step explanation:

9v + 9 + v + v

Combine like terms

11v+9

Let v = 5

11*5+9

55+9

64

Answer:

24 marbles

Step-by-step explanation:

P( purple) = 2/3 = purple/total

                   2/3 = 16/total

Using cross products

                  2 * total = 3 *16

                    2 * total  = 48

                            total = 24

There are 24 marbles

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]-7*(-8)[/tex]

The only one thing we have to do on this question is simplify.

[tex](-7)(-8)[/tex]

And this equals

[tex]56[/tex]

Now you got your answer!

Hope this helps!

The solution to the expression -7 times (-8) is 56

From the question, we have the following parameters that can be used in our computation:

-7 times (-8)

Express using product expression

So, we have

-7 times (-8) = -7 * -8

Evaluate all the products in the expression

so, we have the following representation

-7 times (-8) = 56/1

Evaluate all the quotients in the expression

so, we have the following representation

-7 times (-8) = 56

Lastly, we have

-7 times (-8) = 56

Hence, the solution is 56

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer: D. Simple Random Sampling

Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.

Using sampling concepts, it is found that the correct option is:

d. simple random sampling

Samples are classified as:

In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.

To learn more about sampling concepts, you can take a look at https://brainly.com/question/25122507

Answer:

The value of Cov (X, Y) is 25/6.

Step-by-step explanation:

It is provided that:

[tex]X\sim U(0,10)\\\\Y|X\sim U(0,x)[/tex]

The probability density functions are as follows:

[tex]f_{X}(x)=\left \{ {{\frac{1}{10};\ 0<X<10} \atop {0;\ \text{otherwise}}} \right. \\\\f_{Y|X}(y|x)=\left \{ {{\frac{1}{x};\ 0<Y<x} \atop {0;\ \text{otherwise}}} \right.[/tex]

Then the value of f (x, y) will be:

[tex]f_{X,Y}(x,y)=\left \{ {{\frac{1}{10x};\ 0<X<10,\ 0<Y<x} \atop {0;\ \text{Otherwise}}} \right.[/tex]

Then f (y) is:

[tex]f_{Y}(y)=\int\limits^{10}_{y} {\frac{1}{10x}} \, dx[/tex]

         [tex]=\frac{1}{10}\times [\log x]^{10}_{y}\\\\=\frac{1}{10}[\log 10-\log y][/tex]

Compute the value of E (X) as follows:

[tex]E(X)=\frac{b+a}{2}=\frac{10+0}{2}=5[/tex]

Compute the value of E (Y) as follows:

[tex]E(Y|X)=\frac{b+a}{2}=\frac{x+0}{2}=\frac{x}{2}\\\\\text{Then,}\\\\E(E(Y|X))=E(\frac{x}{2})\\\\E(Y)=\frac{1}{2}\times E(X)\\\\E(Y)=\frac{5}{2}[/tex]

Compute the value of E (XY) as follows:

[tex]E(XY)=\int\limits^{10}_{0}\int\limits^{x}_{0} {xy\cdot \frac{1}{10x}} \, dx dy[/tex]

             [tex]=\int\limits^{10}_{0}\int\limits^{x}_{0} {\frac{y}{10}} \, dx dy\\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{y^{2}}{2}}|^{x}_{0} \, dx \\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{x^{2}}{2}}\, dx\\\\=\frac{1}{10}\times [\frac{x^{3}}{6}]^{10}_{0}\\\\=\frac{100}{6}\\\\=\frac{50}{3}[/tex]

Compute the value of Cov (X, Y) as follows:

[tex]Cov (X, Y)=E(XY)-E(X)E(Y)[/tex]

                 [tex]=\frac{50}{3}-[5\times\frac{5}{2}]\\\\=\frac{50}{3}-\frac{25}{2}\\\\=\frac{100-75}{6}\\\\=\frac{25}{6}[/tex]

Thus, the value of Cov (X, Y) is 25/6.

Answer:

9x

Step-by-step explanation:

6x + 3x

6 + 3 = 9

add the x and you get 9x

i hope this helps

Answer:

6x + 3x = 9x

Step-by-step explanation:

6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.

Answer:

7458

Step-by-step explanation:

I hope this helps you

Answer:

See below.

Step-by-step explanation:

So we have the equation:

[tex]7m+11=-4(2m+3)[/tex]

Distribute the right:

[tex]7m+11=-8m-12[/tex]

Add 12 to both sides:

[tex]7m+23=-8m[/tex]

Subtract 7m from both sides:

[tex]23=-15m[/tex]

Divide by -15:

[tex]m=-23/15\approx-1.5333[/tex]

Given :

[tex]F(x)=3(x^2-1)[/tex]

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

[tex]\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0[/tex]

So , x=0 is critical point .

Now , coefficient of [tex]x^2[/tex] is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

[tex]Min = (0^2-1)\times 3=-3[/tex]

And maximum value will be the maximum at the x=2 because it is increasing function .

[tex]Max=(2^2-1)\times 3=9[/tex]

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

Answer:

3rd number = 30

2nd number = 7

1st number = 15

Step-by-step explanation:

(T) total of three numbers = 52

let 3rd number = 2 x

let 2nd number = x - 8

let 1st number = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 60 / 4

x = 15

therefore,

let 3rd number = 2 (15) = 30

let 2nd number = 15 - 8 = 7

let 1st number = 15

Answer:

3rd = 30

2nd  = 7

1st  = 15

Step-by-step explanation:

(T) total = 52

3rd  = 2 x

2nd = x - 8

1st = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 15

so

3rd = 2 (15) = 30

2nd  = 15 - 8 = 7

1st  = 15

Answer:

x^ (21/5)

Step-by-step explanation:

[tex]\sqrt[5]{x ^7}[/tex]  ^ 3

Rewriting as a fraction

x ^ 7/5  ^3

We know that a ^b^c = a^ ( b*c)

x ^ ( 7/5 *3)

x^ (21/5)

Answer: That would be x and 21/5 ths

Step-by-step explanation:

Answer:

[tex]Probability = \frac{18}{1860480}[/tex]

Step-by-step explanation:

Given

Soda = 10

Sprite = 4

Dr. Pepper = 3

Cherry Coke = 3

Required

Determine the probability of picking Dr. pepper the fourth and fifth

First, we need to sum up the number of drinks

[tex]Total = 10 + 4 + 3 + 3[/tex]

[tex]Total = 20[/tex]

First Selection: Dr. Pepper

[tex]P_1= \frac{3}{20}[/tex]

Since its probability without replacement;

At this stage: Dr. Pepper = 2 and Total = 19

Second Selection: Cherry Coke

[tex]P_2= \frac{3}{19}[/tex]

At this stage: Dr. Pepper = 2; Cherry Coke = 2 and Total = 18

Third Selection: Cherry Coke

[tex]P_3= \frac{2}{18}[/tex]

[tex]P_3= \frac{1}{9}[/tex]

At this stage: Dr. Pepper = 2; Cherry Coke = 1 and Total = 17

Fourth Selection: Dr. Pepper

[tex]P_4= \frac{2}{17}[/tex]

At this stage: Dr. Pepper = 1; Cherry Coke = 1 and Total = 16

Fifth Selection: Dr. Pepper

[tex]P_5= \frac{1}{16}[/tex]

Multiply the calculated probabilities, to give the required probability

[tex]Probability = P_1 * P_2 * P_3 * P_4 * P_5[/tex]

[tex]Probability = \frac{3}{20} * \frac{3}{19} * \frac{1}{9} * \frac{2}{17} * \frac{1}{16}[/tex]

[tex]Probability = \frac{3 * 3 * 1 * 2 * 1}{20 * 19 * 18 * 17 * 16}[/tex]

[tex]Probability = \frac{18}{1860480}[/tex]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

The next number in the sequence is 8

Answer: (1, -2)

Step-by-step explanation:

The original coordinate of S is (-2, 1)

As mentioned, also in the hint, exchange the position of x and y coordinate to get the new coordinate that is reflected after y=x

(basically in the 4th quadrant)

The new coordinate of S' is (1, -2)

Hope this helps!! :)

Please let me know if you have any question

Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

I hope this helps you

Answer:

2

Step-by-step explanation:

9= 18 ÷x

Multiply each side by x

9x = 18

Divide each side by 9

9x/9 = 18/9

x = 2

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]9=18[/tex] ÷ [tex]?[/tex]

Let's solve your equation and make it true.

[tex]9+9=18[/tex]

Since we added 9 twice, it would be *2. So now it would be 9*2 = 18. So 18 divided by 9 would be 2.

So, [tex]9=18[/tex] ÷ [tex]2[/tex]

So now you got your answer!

Hope this helps!

Answer:

y= 407.54654 ft

Step-by-step explanation:

This is an exponential decay functions

y = ab^x  where a is the initial value and b is ( 1 - rate of decay)

a = 520

b = 1- 3%

y = 520 ( 1- .3) ^x

y = 520 ( .97) ^x

We want x to be 8 weeks

y = 520 ( .97) ^8

y= 407.54654 ft

Answer:

93 degrees

Step-by-step explanation:

To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.

We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.

180-127= 53

180-146=34

We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.

180-53-34=93

We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees

Answer:

93 degrees

Step-by-step explanation:

Focus on the small triangle at the lower right.

The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees.  The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.

The interior angles of this small triangle must add up to 180 degrees.  The third angle of this small triangle is the "vertical angle" of the unknown angle:  

? + 53 + 34 = 180, so:  ? = 93

The unknown angle is now known to be 93 degrees.

Answer:

[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]

Step-by-step explanation:

[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]

[tex] \sqrt{49} = 7[/tex]

[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]

Answer:

Step-by-step explanation:

[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]

6.

[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]

8.

[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]

10.

[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]

Answer:

Step-by-step explanation:

For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.

fraction remaining = 55% = 0.55

0.55 = 0.5n

log 0.55 = n log 0.5

-0.2596 = -0.301 n

n = 0.8625 = # of half lives elapsed

0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock

b)  0.15 = 0.5n

log 0.15 = n log 0.5

-0.824 = -0.301 n

n = 2.74 half lives

2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock

Step-by-step explanation:

Average Cost to Mow a Lawn Per Square Foot

Most mowing pros do not charge by the square foot. For smaller properties, expect to pay between $0.01 and $0.04 per square foot.

National Average: $132

Typical Range: $49 - $219

Low End - High End: $30 - $520

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Full circumference of the wheel

Bike moves

The wheel turns:

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches