Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.

Which statements are true about the distance Sal walks?

Select each correct answer.

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:

C=.65n

Step-by-step explanation:

It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents

So in all the cost is 0.65 cents for (n) or 1 pound of apples.

Answer:

c is or the apples n is for the pound of that apples

Step-by-step explanation:

Answer:

Constant, $19/sweater

Step-by-step explanation:

You can check each of data by dividing cost/number.

38÷2=19

76÷4=19

133÷7=19

171÷9=19

Doing this will tell you the price of 1 sweater, which is $19.

Answer:

x = 8

The number is 8

Step-by-step explanation:

36 – (3x) = 4 + x

36 – (3 • 8) = 4 + 8

36 – 24 = 12

12 = 12

x = 8

I hope this helps.

Answer:

f^(-1) = x/4

Step-by-step explanation:

1.  Starting with f(x) = 4x, replace 'f(x)' with y:  y = 4x

2.  Interchange x and y:  x = 4y

3.  Solve for y:  y = x/4

4.  Replace this y with 'f^(-1) = ":    f^(-1) = x/4

Answer:

300x4 =1200

20x4 = 80

1x4 =8

1288

Step-by-step explanation:

Break apart 321 = 300+20+ 1

This is the hundreds, tens, and ones

Then multiply each by 4

Add all together to get answer

Answer:

Tt = Ts + Ce^-kt

Tt = 62 + 138e^-0.0068t

Step-by-step explanation:

The initial value problem for the Newton cooling rate is :

Tt = Ts + Ce^-kt

Initial temperature,when freshly poured Ti = 200°F

Temperature after 11 minutes = 190°F

Temperature of room, Ts= 62°F

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

k = constant of proportionality

We can then solve for C and k as follows :

200 = 62 + Ce^-0k

200 = 62 + C

C = 200 - 62 = 138°F

Using the Temperature after 11 minutes ; we can find, k, proportionality constant:

Temperature, Tt after, t = 11 minutes = 190

Tt = Ts + Ce^-kt

190 = 62 + 138e^-11k

128 = 138e^-11k

128 / 138 = e^-11k

0.9275 = e^-11k

Take In of both sides :

−0.075223 = - 11k

k = −0.075223 / - 11

k = 0.0068

The model function becomes :

Ts = 62 ; C = 138

Tt = 62 + 138e^-0.0068t

Answer: x= 3.5 is -2. The mean is 6.5.

z score to the left is 2

Step-by-step explanation:

X is a normally distributed random variable with μ=6.5 (mean) and σ=1.5 (standard deviation). To calculate the z-score,

z=x−μσ=3.5−6.51.5=−31.5=−2

This means that x=3.5 is two standard deviations (2σ) below or to the left of the mean. This makes sense because the standard deviation is 1.5. So, two standard deviations would be (2)(1.5)=3, which is the distance between the mean (μ=6.5) and the value of x (3.5).

Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

--------------------------------

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is from the mean, above or below.  

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.5 - 6.5}{1.5}[/tex]

[tex]Z = -2[/tex]

The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

A similar problem is given at https://brainly.com/question/13383035

Where are the answers?

Answer:

C

Step-by-step explanation:

(1, 2) indicates that x=1 and y=2

A:

(2)-(1)=1

3(2)-4(1)≠10

B:

-2(2)+5(1)≠-1

D:

3(2)-(1)≠1

Answer:

You are looking at a pair of parallel lines (a and b) and a transversal that crosses them both.

Now that you know what think back to when you learned the relationship between angles formed by a transversal and a set of parallel lines.

You can have same side exterior, same side interior, alternate interior and alternate exterior. Which set of these are these angles?

Remember same side interior and same side exterior angles are supplementary (they have a sum of 180 degrees). Alternate interior and alternate exterior angles are congruent. Knowing this how can an equation be written using the expressions in the image?

Step-by-step explanation:

Answer:

x = 3.4

Step-by-step explanation:

Since these two angles are opposite exterior angles, they are equivalent. that means that 5x - 2/3 = 3 1/3x + 5, from here you should simplify the terms so you have all of x on one side and all of the number on ther other, it should be 1 2/3x = 5 2/3, then all you have to do is divide both sides by 1 2/3 to get x which is 3.4 or 3 2/5

Answer:

12/15

Step-by-step explanation:

4*3=12

5*3=15

Answer: 8/10

Step-by-step explanation:

Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Answer:

1500 + 2250 =

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an arithmetic progression with:

Required expression is:

Answer:

slope is 3/1 y=2

Step-by-step explanation:

Answer:

x = 5.57

Step-by-step explanation:

= √8² + 7²

= √64 + 49

= √113

= 10.63

x = √12² - 10.63²

x = √144 - 112.99

x = √31.01

x = 5.568

x = 5.57

Answer:

8.7 ≈ 9

Step-by-step explanation:

2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...

Answer:

It would land on the first quadrant.

Step-by-step explanation:

Answer:

I think quadratic

Step-by-step explanation:

Answer:

About 1.1 meters.

Step-by-step explanation:

Hope this helps! :D

Answer:

i think its the third option

Explanation:

x + 3y = 9

2x + 6y = 12

First you check if the two equations are compatible, that is

if they are parallel, they must not intersect.

Parallel means they have the same slope, given by dy/dx in general, and in the case of linear equations by the ratio of the y coefficient to that of x, that is 3 for the first equation, and 3 for the second. Since these two equations are parallel, they are multiple of each other. Now where these straight lines intersect the axis y = 0, that is the x-axis, is the constant term on the right hand side. Try it

Put y = 0 you get x = 9, for the first equation, and y = 0, x = 6 for the second equation, This is geometrically impossible, and therefore algebraically too. So this problem has no solution

Explanation:

If I'm wrong or That I missed The Question and just missed read it then My Answer Might have been wrong correct me or sumn If Im wrong

(｡づ’▽’｡)づ♡ #CarryOnLearning

Answer: A: x= -3 B: x= 7/3 C: x= 11/2 D: 58 1/3

for the first 4 questions

Answer:

1) -95.

2) 15.

3) The conference center is on floor 5.

Step-by-step explanation:

1) Evaluating gives [tex]-52-30-13=-(52+30+13)=-(95)=-95.[/tex]

2) Substituting gives [tex]x+27=(-12)+27=15.[/tex]

3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.

Answer:

1. -95

2. 15

3. 5th Floor (-4 + 9)

Step-by-step explanation:

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex] \frac{ {7}^{7} }{ {7}^{3} } = {7}^{7 - 3} = {7}^{4} [/tex]