Write the equation for the circle with center (2, 4) and radius 7 in standard form

Answer:

E(X) = 1.9375

SD(X) = 1.20

Step-by-step explanation:

Let :

G = girl ; B = Boy

P(G) = 0.5 ; P(B) = 0.5

Sample space :

G, BG, BBG, BBBG, BBBBG, BBBBB

Using the multiplication rule of independence :

P(G) = 0.5

P(BG) = 0.5 * 0.5 = 0.25

P(BBG) = 0.5 * 0.5 * 0.5 = 0.125

P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625

P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

Creating a probability distribution table :

X = 1, 2, 3, 4, 5

For X = 5 ;

P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625

X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5

P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625

The expected value E(X) :

√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375

The standard deviation SD(x) :

√(ΣX²*p(x) - E(X)²

√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)

√(5.1875 - 3.75390625)

√1.43359375

SD(X) = 1.197

SD(X) = 1.20

Answer: ~31.3

first use the pythagorean theorem. a^2+(40)^2=50^2.

simply. a+1600=2500. subtract 1600 from both sides. a^2=900.

square root both sides to get a= 30

then find how far the top of the ladder is from the ground once in its new position.

a^2+(39)^2=50^2.

simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.

square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3

Answer:

Step-by-step explanation: iT'S 31.3

here's your answer

hope it helps you

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Answer:

A

Step-by-step explanation:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

with like denominators you can just add or subtract freely just the top numerators

Answer:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

Step-by-step explanation:

Answer:

[tex] \measuredangle \: \boxed{7}[/tex]

Step-by-step explanation:

[tex] \measuredangle \: 2 = \measuredangle \: \boxed{7} \\ (alternate \: exterior \: \angle s)[/tex]

Answer: I don’t know how to solve x but look at the picture

Step-by-step explanation: Hope this help :D

Answer: 1. Sometimes  2. Always

Step-by-step explanation:

I am pretty sure these are right.

Answer

the lengths of the chords are 12 cm and 6 cm

Answer:

The lengths of the chords are 12 cm and 6 cm

Step-by-step explanation:

See attached image

Hope this helps! :D

Answer:

25.50 is the final price

Step-by-step explanation:

First find the new price at 15% off

59.99 * 15%

59.99 * .15

9.00

Subtract 9 dollars from the price

59.99-9.00

50.99

Now take 50% off

50.99 * 50%

50.99*.50

25.50

50.99-25.50

25.50

Answer:

jsjshshzyzhshshw

Step-by-step explanation:

7U usual jusjsisj

Answer:

[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

Answer:

If you are finding area then the area is 254.34

Step-by-step explanation:

Area of a circle- 3.14 times radius squared

3.14 (pi) times 81 (9 squared)

Answer:

569.95 dallars

Step-by-step explanation:

Answer: 17.5 feet long.

Answer:

24

Step-by-step explanation:

The person above me is incorrect . I got it right on the i-Ready Quiz!

Answer:

It’s G. 330 m^2

Step-by-step explanation:

The formula for a trapezoid is (a+b)/2 times h.

So a is base one and b is base two and the h is the height.

So it would be like (19+41)/2 X 11 then you would get

60/2 X 11

30 X 11 equals 330

Answer:

686.85

Step-by-step explanation:

Answer:

$45.79 multiplied by .50 equals 22.895

Answer:

Step-by-step explanation:

x^2 - 5x + 6 = 0

(x - 2)(x - 3)

So the critical point are x = 2 and x = 3.

The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).

So the required range is the values of f(x) between  when x = 2 and x = 3

that is  2 < x < 3.

Answer:

Step-by-step explanation:

1 Factor {x}^{2}-5x+6x

2

−5x+6.

(x-3)(x-2)<0

(x−3)(x−2)<0

2 Solve for xx.

x=3,2

x=3,2

3 From the values of xx above, we have these 3 intervals to test.

\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}

​

x<2

2<x<3

x>3

​

4 Pick a test point for each interval.

For the interval x<2x<2:

Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00

2

−5×0+6<0.

After simplifying, we get 6<06<0, which is false.

Drop this interval..

For the interval 2<x<32<x<3:

Let's pick x=\frac{5}{2}x=

25

​

. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.

After simplifying, we get -0.25<0−0.25<0, which is true.

Keep this interval..

For the interval x>3x>3:

Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.

After simplifying, we get 2<02<0, which is false.

Drop this interval..

5 Therefore,

2<x<3

2<x<3

Answer:  82

Step-by-step explanation:

As we know remainder formula:-

 Dividend = Quotient × Divisor + Remainder

Here, dividend = Two digits number & divisor = Sum of digits

m + 10n = 8 × (m + n) + 2

 m + 10n = 8m + 8n + 2

 m - 8m + 10n - 8n = 2

 2n - 7m = 2

  2n = 7m + 2

 n = (7m + 2)/2 - -  (Eq.1)

Digits interchanged, two digits number is divided by sum of digits, quotient is 2 & remainder is 8.

Now, when digits interchanged:-

 Two digits number = 10m + n

Using same formula we get:-

 10m + n = 2 × (m + n) + 8

10m + n = 2m + 2n + 8

 10m - 2m + n - 2n = 8

 8m - n = 8

 8m = n + 8

 n = 8m - 8 - - - (Eq.2)

Comparing both equations:-

 (7m + 2)/2 = 8m - 8

 7m + 2 = 2(8m - 8)

 7m + 2 = 16m - 16

 7m - 16m = -16 - 2

 -9m = -18

 m = -18/-9

 m = 2

So, digit at unit's place = 2

Put this value in (Eq.2)

n = 8(2) - 8

n = 16 - 8

n = 8

So, digit at ten's place = 8

Now two digit number:-

 Two digit number = 2 + 10(8)

 Two digit number = 2 + 80

Two digit number = 82

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.

A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).

To learn more about line of best fit refer to;

https://brainly.com/question/1518824

#SPJ2

Answer:

0.065 metric tons

Step-by-step explanation:

Given

65 kg

To find

Convert 65 kg to metric tons

Then, the answer is 0.065 metric tons