Evaluate the expression r + x2 for r = 4.

Answer:

6

Step-by-step explanation:

Answer:

The arc length  S = 11.304 cm

Step-by-step explanation:

Explanation:-

Given that the radius of the circle 'r' = 6 cm

Given that the central angle = [tex]\frac{3\pi }{5}[/tex]

The Arc length is defined by

                 S = r θ

                S = 6 × [tex]\frac{3\pi }{5}[/tex]

                [tex]S = \frac{18\pi }{5}[/tex]

               [tex]S = \frac{18(3.14) }{5}[/tex]      (∵ π = 3.14)

              S = 11.304 cm

The arc length  S = 11.304 cm

Answer:

18pi/5

Step-by-step explanation:

Answer:

a) 0.677

b) 0.0431

c) 0

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is correctly received, or it is erroneously received. Whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of all bits transmitted through a digital communication channel are erroneously

This means that [tex]p = 0.1[/tex]

Messages of 20 bits:

This means that [tex]n = 20[/tex]

a. What proportion of these messages will have at most 2 erroneously received bits?

This is [tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]

[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]

[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1216 + 0.2702 + 0.2852 = 0.677[/tex]

b. What proportion of these messages will have at least 5 erroneously received bits?

This is

[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]

In which

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]

[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]

[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]

[tex]P(X = 3) = C_{20,3}.(0.1)^{3}.(0.9)^{17} = 0.1901[/tex]

[tex]P(X = 4) = C_{20,4}.(0.1)^{4}.(0.9)^{16} = 0.0898[/tex]

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1216 + 0.2702 + 0.2852 + 0.1901 + 0.0898 = 0.9569[/tex]

Then

[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9569 = 0.0431[/tex]

c. For what proportion of these messages will more than half the bits be erroneously received?

This is [tex]P(X \geq 11)[/tex]

[tex]P(X = 11) = C_{20,11}.(0.1)^{11}.(0.9)^{9} \approx 0[/tex]

If 11 is approximately 0, the rest(11, 12, 13,...) will also be approximately 0. So this proportion is 0.

Answer:

(5, 0)

Step-by-step explanation:

The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)

Answer:

Uh queen or hearts or diamonds?

Step-by-step explanation:

Answer: 53.5 seconds

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

78.5 feet OR (25 x pi) feet

Step-by-step explanation:

You need to find the circumference.

C = 25 x 3.14

C = 78.5 feet

           OR

C = 25 x pi

Hope that helps!

First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).

For part B you can use the following:

y = m x + b

y = (7/4) * 13 + 3

26 Is your answer

Goodluck

:):

Answer:

3.2 probably I don't really know

Step-by-step explanation:

someone please help this person

Answer:

k=1

Step-by-step explanation:

⅓×9k+12 = 15

3k+12 = 15

3k = 3

k = 1

Answer:

search it up on goggle lll

Answer:

3

Step-by-step explanation:

Answer:

y = -12x - 43

Step-by-step explanation:

"slope-intercept form" looks like y = mx + b.

We are given m = -12 and a point on the line which is (4, -5).

Substituting 4 for x, -5 for y and -12 for m, we get:

-5 = -12(4) + b.  Then b = -43, and the desired equation is y = -12x - 43.

Answer:

solution

1060/100=10.6

20x10.6=212

1060-212=848

1500-848=652

(652/848)x100=76.886%

Answer:

for the first box it would be pairs

1,5

2,8

3,11

4,14

5,17

for the second box it would be pairs

1,2

2,5

3,8

4,11

5,14

Step-by-step explanation:

We can observe that the function describing the graph is linear and so the equation is of linear nature:

[tex]y=mx+n[/tex]

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]

Now our line has an equation,

[tex]y=\frac{6}{5}x-1[/tex]

Hope this helps.

Answer: We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

X°+145°=180° because there supplementary angles.

X°=35° because 180-145=35°.

Answer:

[tex]\frac{26}{7}[/tex]

Step-by-step explanation:

Each person will get 3 packs of candy bars

The given parameters are:

Candy bars = 26 pack

People = 7

The number of pack each person will have is then calculated as:

Pack =Candy bars / People

So, we have:

[tex]Pack = \frac{26}{7}[/tex]

Divide 26 by 7 (remove the decimal or fractional parts)

[tex]Pack = 3[/tex]

Hence, each person will get 3 packs of candy bars

Read more about quotients at:

https://brainly.com/question/7068223

Answer:

[tex]y = \frac{1}{10}x + 6[/tex]

500 cups cost $56

Step-by-step explanation:

Given

[tex]x = cups[/tex]

[tex]y = cost[/tex]

[tex](x_1,y_1) = (150,21)[/tex]

[tex](x_2,y_2) = (300,36)[/tex]

Solving (a): Linear Equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute right values

[tex]m = \frac{36 - 21}{300- 150}[/tex]

[tex]m = \frac{15}{150}[/tex]

[tex]m = \frac{1}{10}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (150,21)[/tex]

[tex]m = \frac{1}{10}[/tex]

This gives:

[tex]y = \frac{1}{10}(x - 150) + 21[/tex]

Open bracket

[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]

[tex]y = \frac{1}{10}x - 15 + 21[/tex]

[tex]y = \frac{1}{10}x + 6[/tex]

Solving (b): Cups of coffees for $56

Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]

[tex]56 = \frac{1}{10}x + 6[/tex]

Subtract 6 from both sides

[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]

[tex]50 = \frac{1}{10}x[/tex]

Multiply both sides by 10

[tex]10 * 50 = \frac{1}{10}x * 10[/tex]

[tex]10 * 50 = x[/tex]

[tex]500 = x[/tex]

[tex]x = 500[/tex]

Hence: 500 cups cost $56

Answer:

0.00079

Step-by-step explanation:

Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.

Answer:

i need the answer too

Step-by-step explanation:

Answer:

48 dividido por 2897 the answer is 60.35 -

Step-by-step explanation:

__60.35-

48 √2897

__ 288__

- - 1 7

___ 0_

170

_ 144 __

-260

____ 240__

-20

Answer:

i think its the third option

Answer:

3/12

Step-by-step explanation:

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

4,9, and 16 can make a perfect square.

it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to

Answer:

4--2/4--4

6/8=3/4

y=3/4 x +c

4=3/4(4)+c

4=3+c

4-3=c

1=c

y=3/4x+1

Step-by-step explanation: