find the area of the circle use 3.14

Answer:

Step-by-step explanation:

Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451

Answer: a) 362880   b) 40320  c)720

Step-by-step explanation:

a) There are  9 letters in the word  ALGORITHM. Pls note that all 9 letters are different.

So to find the number of the ways which the letters can be arranged lets imagine , that in 1st place can stay any of 9 letters, in second place any of remaining 8 letters, in 3-rd place - any of 7 letters etc

So total number of the ways is

N= 9*8*7*6*5*4*3*2*1=9!=362880

b) If A and L must remain togetherin order AL ( LA is forbidden !) so we can imagine that AL is 1 special letter.

So total number of the letters is 8. Similarly to a) we can find the number of the ways as:

N=8*7*6*5*4*3*2*1=40320

c) Similarly to b) lets imagine that GOR is 1 special letter. So there are only 7 letters . Similarly to a) the number of the ways is

N=7*6*5*4*3*2=720

Step-by-step explanation:

a.362880 b.40320. c.720

Answer:

False

Step-by-step explanation:

All you want to do is times 5.71 by 0.8. Once you do that, you'll get 4.568. Then you times 3.26 by 1.45 which gets you 4.727, 4.568 does not = 4.727 which makes the statement false.

Answer

[tex]a=0[/tex], [tex]b=2[/tex]

[tex]g_1(x)=\frac{5x}{2}[/tex],  [tex]g_2(x)=7-x[/tex]

Step-by-step explanation:

Given that

[tex]\int \int Df(x,y)dA=\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy+\int_5^7\int_0^{7-y} f(x,y)dxdy\; \cdots (i)[/tex]

For the term  [tex]\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy[/tex].

Limits for [tex]x[/tex] is from [tex]x=0[/tex] to [tex]x=\frac {2y}{5}[/tex] and for [tex]y[/tex] is from [tex]y=0[/tex] to [tex]y=5[/tex]  and the region [tex]D[/tex], for this double integration is the shaded region as shown in graph 1.

Now, reverse the order of integration, first integrate with respect to [tex]y[/tex] then with respect to [tex]x[/tex] . So, the limits of [tex]y[/tex] become from [tex]y=\frac{5x}{2}[/tex] to [tex]y=5[/tex] and limits of [tex]x[/tex] become from [tex]x=0[/tex] to [tex]x=2[/tex] as shown in graph 2.

So, on reversing the order of integration, this double integration can be written as

[tex]\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx\; \cdots (ii)[/tex]

Similarly, for the other term  [tex]\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy[/tex].

Limits for [tex]x[/tex] is from [tex]x=0[/tex] to [tex]x=7-y[/tex] and limits for [tex]y[/tex] is from [tex]y=5[/tex] to [tex]y=7[/tex]  and the region [tex]D[/tex], for this double integration is the shaded region as shown in graph 3.

Now, reverse the order of integration, first integrate with respect to [tex]y[/tex] then with respect to [tex]x[/tex] . So, the limits of [tex]y[/tex] become from [tex]y=5[/tex] to [tex]y=7-x[/tex] and limits of [tex]x[/tex] become from [tex]x=0[/tex] to [tex]x=2[/tex] as shown in graph 4.

So, on reversing the order of integration, this double integration can be written as

[tex]\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy=\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx\;\cdots (iii)[/tex]

Hence, from equations [tex](i)[/tex], [tex](ii)[/tex] and [tex](iii)[/tex] , on reversing the order of integration, the required expression is

[tex]\int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx+\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx[/tex]

[tex]\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\left(\int _ {\frac {5x}{2}}^5 f(x,y)+\int _5 ^ {7-x} f(x,y)\right)dydx[/tex]

[tex]\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^{7-x} f(x,y)dydx\; \cdots (iv)[/tex]

Now, compare the RHS of the equation [tex](iv)[/tex] with

[tex]\int_a^b\int_{g_1(x)}^{g_2(x)} f(x,y)dydx[/tex]

We have,

[tex]a=0, b=2, g_1(x)=\frac{5x}{2}[/tex] and [tex]g_2(x)=7-x[/tex].

The required values are,

[tex]a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x[/tex]

Double integral is mainly used to find the surface area of a 2d figure, and it is denoted using ‘ ∫∫’. We can easily find the area of a rectangular region by double integration.

Given function is,

[tex]\int \int_Df(x,y)dA=\int_{0}^{5}\int_{0}^{2y}f(x,y)dxdy+\int_{5}^{7}\int_{0}^{7-y}f(x,y)dxdy[/tex]

We can write the double integral as a single term by reversing the order as,

[tex]\int_{a}^{b}\int_{g_1(x)}^{g_2(x)}f(x,y)dydx=\int_{0}^{2}\int_{\frac{5x}{2}}^{7-x}f(x,y)dydx)[/tex]

The region D is attached below.

Hence, we get the values,

[tex]a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x[/tex]

Learn more about the topic Double Integral:

https://brainly.com/question/18568839

Step-by-step explanation:

Step 1 of 4

a) Yes, since the photo copy, is same which is reduced by 80% it remains similar. Because the angles stay the same and the ratios responding sides are proportional.

The following is the figure:



a). Photocopy of a polygon reduced the size of the original polygon by

    70%.

    But the shape and angles of the the polygon remains unchanged.

    Therefore, all the photocopies will be similar to the original polygon.

b). Let the measure of a side of the original polygon measures 'x' unit.

    Size of the original polygon gets reduced by 70% in the photocopy.

    Then the measure of the side in the photocopy = x - (70% of x)

                                                                                    = [tex]x-\frac{70x}{100}[/tex]

                                                                                    = [tex]x-0.7x[/tex]

                                                                                    = [tex]0.3x[/tex] units

    Size of the second photocopy was reduced again by 70%.

  Therefore, measure of the side of the second polygon = [tex]0.3x-(\frac{70}{100}\times 0.3x)[/tex]

                                                                                              = [tex]0.3x-0.21x[/tex]

                                                                                              = [tex]0.09x[/tex] units

    Ratio of the corresponding sides of the second photocopy and the

    original = [tex]\frac{0.09x}{x}[/tex]

                  = 0.09 : 1

    Learn more,

    https://brainly.com/question/21393110

Answer:

Step-by-step explanation:

32 cabbages

21+12=32

Answer:

a + 50

Step-by-step explanation:

Step 1: Translate word into math

sum = +

fifty = 50

a = a

Step 2: Combine

a + 50

Answer:

a + 50

Step-by-step explanation:

Step 1: Translate word into math

sum = +

fifty = 50

a = a

Step 2: Combine

a + 50

Answer:

7 - 3 i

Step-by-step explanation:

Simplifying

(3 + -2i) + (4 + -5i) = 0

Remove parenthesis around (3 + -2i)

3 + -2i + (4 + -5i) = 0

Remove parenthesis around (4 + -5i)

3 + -2i + 4 + -5i = 0

Reorder the terms:

3 + 4 + -2i + -5i = 0

Combine like terms: 3 + 4 = 7

7 + -2i + -5i = 0

Combine like terms: -2i + -5i = -7i

7 + -7i = 0

Solving

7 + -7i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + -7i = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -7i = 0 + -7

-7i = 0 + -7

Combine like terms: 0 + -7 = -7

-7i = -7

Divide each side by '-7'.

i = 1

Simplifying

i = 1

Answer:

420 in^2

Step-by-step explanation:

The area of the rectangle before removing the circles is

A = l*w

A = 24*22

   =528

The area of one of the circles is

A = pi r^2

The diameter is 6 so the radius is 6/2 = 3

  = 3.14 * ( 3) ^2

  =28.26

There are 4 circles

4* 28.26

113.04

Subtract the area of the 4 circles from the rectangle

528-113.04

414.96

415 in ^2

The best estimate is 420

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

Answer:

Hey there!

3x-4y=12

-4y=-3x+12

y=3/4x-3

So the y-intercept is -3.

Let me know if this helps :)

Answer:

The y-intercept is at (0, -3).

Step-by-step explanation:

Where the graph intercepts the y axis x = 0 so we have the equation:

3(0) - 4y = 12

-4y = 12

y = 12/ -4

y = -3.

Step-by-step explanation:

If x is the number of hours, then:

48 = 10x + 7

41 = 10x

x = 4.1

Answer:

Step-by-step explanation:

Ratios can be used to compare values and also can be written  in various forms.

Given the following example

the ratio of 153 per 108.

153:108

A. this ratio can expressed in the reduced fraction as

dividing both the numerator and the denominator by a common factor of 3 will give

=153/108 = 51/36

we can further divide by a common factor of 3 to further reduce the ratio

= 51/36= 17/12

hence the ratio expressed as a reduced fraction is 17/12

B.  ration written as a decimal rounded to the hundredths:

A ratio written as a decimal rounded to the hundredths:

to express the ratio as a decimal we have to divide the numerator by the value of the denominator i.e 153/108= 1.4166

to the nearest hundredth we have 1

1.42

Answer: Probability = 0.2

Step-by-step explanation:

Given data:

Mean production time = 32.20 seconds

Standard deviation = 1,05seconds

probability that a full production run will take less than 32 seconds on average to produce

= P(Xbar<32)

= P(Z<-0.8518)

= 0.2

Answer:

  a

Step-by-step explanation:

There are no like terms here, hence no "common like term."

__

The terms have a greatest common factor of 'a', so the expression could be written as ...

  a(11av -12b^2)

The greatest common factor is 'a'.

Step-by-step explanation:

This is the answer i guess thank me if its right

Answer:

d = 101

Step-by-step explanation:

d= -20+11t

Let t=11

  = -20 + 11(11)

  = -20 + 121

  101

Answer:

the output is 101

Step-by-step explanation:

d= -20+11t

in the question it is given that t=11

substituting t=11 in the given equation

so the output is 99

hope it will help ^_^

Answer:

Step-by-step explanation:

1/x + 1/y =9/11 (x+y)/x.y=9/11 11x+11y=9x.y

F(x)=11x/(9x-1)

Answer:

Step-by-step explanation:

(-5,-3) (1,0)

(0+3)/(1+5)= 3/6 = 1/2

y - 0 = 1/2(x - 1)

y = 1/2x - 1/2

Answer:

What is the most common month?  That is the answer

Step-by-step explanation:

Answer:

January is the most common month

Step-by-step explanation:

january=7

march=4

august=3

april=5

june=5

july=4

november=1

december=6

may=2

october=1

february=1

Answer:

(-∞,∞)

Step-by-step explanation:

This would form a roughly parabolic shape that extends infinitely along the x-axis.  It would reach a height of ³√2 on the y-axis.  Because it extends infinitely left and right, it would have an infinite domain.  In interval notation, this would be (-∞,∞)

Answer:

C :) try the box method! it always works for alot of people but i prefer diatrubuative method

Answer : 180 degrees

2 units left

5 units down

Your welcome ❤️

Answer:

The first transformation is a rotation of 180

degrees.

The second transformation is a translation that moves  

2 units left and 5 units down.

Step-by-step explanation:

Answer:

For y(-7) =6.4

        The  largest interval  is  between  

                                       [tex]-\infty \to -5[/tex]

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For  y(0) = 0

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        [tex]9 \to \infty[/tex]        

Step-by-step explanation:

From m the question we are told that

     The first order differential equation is   [tex]\frac{y' - t}{ t^2 -25} = \frac{e^t}{t-9}[/tex]

Now the first step is to obtain the domain of the differential equation

Now to do that let consider the denominators

  Now generally

                           [tex]t^2 - 25 \ne 0[/tex]                                           side calculation

                   =>     [tex]t\ne \pm5[/tex]                                                      [tex]t^2 - 25 = 0[/tex]

                                                                                          [tex]t = \pm 5[/tex]

Also              [tex]t-9\ne 0[/tex]                                                     [tex]t -9 = 0[/tex]

        =>          [tex]t\ne 9[/tex]                                                            [tex]t= 9[/tex]    

This means that this  first order differential equation is discontinuous at

       [tex]t = -5 , \ \ t = 5 \ \ t = 9[/tex]

  [tex]This \ is \ illustrated \ below \ \\ ------------------\\\. \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ |\\. \ -5 \ \ \ \ \ \ \ \ \ \ \ \ 5 \ \ \ \ \ \ \ \ \ \ \ \ \ 9[/tex]

So

For y(-7) =6.4

        The  largest interval  is  between  

                                       [tex]-\infty \to -5[/tex]

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For  y(0) = 0

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        [tex]9 \to \infty[/tex]        

Answer:

a

  [tex]P(G) =  0.69[/tex]

b

  [tex]P(S | G) = 0.81[/tex]

c

  [tex]P(M|G') =  0.26[/tex]

Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  [tex]P(G |S) = 0.80[/tex]

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  [tex]P(G| M) =  0.60[/tex]

   The probability of getting into getting into graduated school if you receive a weak recommendation is  [tex]P(G|W) =  0.05[/tex]

   The probability of getting a strong recommendation is  [tex]P(S) =  0.7[/tex]

     The  probability of receiving a moderately good recommendation is [tex]P(M) =  0.2[/tex]

       The probability of receiving a weak recommendation is [tex]P(W) =  0.1[/tex]

      Generally  the probability that you will get into a graduate program is mathematically represented as

     [tex]P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)[/tex]

=>   [tex]P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05[/tex]

=>   [tex]P(G) =  0.69[/tex]

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      [tex]P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}[/tex]

=>    [tex]P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}[/tex]

=>     [tex]P(S | G) = 0.81[/tex]

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        [tex]P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}[/tex]

         [tex]P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}[/tex]

         [tex]P(M|G') =  0.26[/tex]

Answer:

1 no. answer is -21

Step-by-step explanation:

According to BODMAS

12 + 8 / 2 * 3 - (42 + 3)

= 12 + 8 / 2 * 3 - 45

= 12 + 4 * 3 - 45

= 12 + 12 - 45

= 24 - 45

= -21

Answer:

4x+10+2x-1=9x-15;

6x+9=9x-15;

6x-9x=-15-9;

-3x=-24;

3x=24;

from which

x=24:3=8

Then:

DF=9x-15=(9×8)-15=72-15=57

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