a library subscribes to two different weekly news magazines, each of which is supposed to arrive in wednesday's mail. in actuality, each one may arrive on wednesday, thursday, friday, or saturday. suppose the two arrive independently of one another, and for each one p(wed.)

Answers

Answer 1

The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.

What does probability mean in math?

Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).

based on the facts provided;

p(0) = p(w,w)

= 0.29² = 0.0841

p(1) = p(t, w+t) + p(w, t)

= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515

p(2) = p(f, w+t+f) +p(w+t, f)

= 0.16(2(.29+.37)+.16) = 0.2368

p(3) = p(s, w+t+f+s) +p(w+t+f, s)

= 0.18(2(.29+.37+.16) +.18) = 0.3276

In summary, your pmf is ...

y : p(y)

0 : 0.0841

1 : 0.3515

2 : 0.2368

3 : 0.3276

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Related Questions

-23x² + x² - 6x + 10 + 2x²

Answers

Step-by-step explanation:

what do you need to do ?

the only thing we can do here without any further information is simplification if the expression:

-23x² + x² - 6x + 10 + 2x²

now we group ask the terms of the same variable exponents :

-23x² + x² + 2x² - 6x + 10

-20x² -6x + 10

we could do

2×(-10x² - 3x + 5)

but I personally don't find this more simplified that the previous form.

3x-5y=11 if x equals -1,0,1

Answers

Answer:

 x = 5.33333333333

Step-by-step explanation:

3x-5=11

   +5   +5

3x= 16

3      3      

u need to separate the 3x

so u use the opposite operation on - 5

add +5 on both sides

-5 plus 5 cancel each other

add 11 to 5 and that is 16

bring them down and divide both by 3

and ur 3 cancel each other,

now divide 16 by 3

and u get  x = 5.33333333333

Bottled Drinking Water Americans drank an average of 23.2 gallons of bottled water per capita in 2004. If the standard deviation is 2.7 gallonvariable is normally distributed, find the following probabilities. Use a graphing calculator and round the answers to four decimal places.More than 25 gallons of bottled water.P (more than 25 gallons of botted water)

Answers

They tell us that it is distributed in a normal way, which means that the distribution has the following characteristics:

If teh standart deviation is 2.7 gallon and the avriabe is normal distributed we need to know the probability highlighted in the image above, when replacing in the formula with x greater than 25 we obtain:

[tex]P(x>25)=0.2525[/tex]

If x [tex]\neq[/tex] 0, what is the value of (5x)^0?

Answers

Answer:

1

Step-by-step explanation:

from the rule of exponents

• [tex]a^{0}[/tex] = 1 , then

[tex](5x)^{0}[/tex] = 1

can someone help with the last problem

Answers

Answer:

Bro x =21

Step-by-step explanation:

X=21 and AM=14

As all the lines are same so all will be 7 and x will be 3 times 7 which is 21 and in the AM case there 7 is 2 times thus multiply 7 by 2 for 14

X=21 & AM=14 based on the info provided

Model Real Life The Elephant
Building is 335 feet high. A real
Asian elephant is 12 feet tall. If
29 real elephants could stand on
top of each other, would they reach
the top of the building?

Answers

Answer:

Yes

Step-by-step explanation:

The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?

They are asking if 29 12' elephants are as tall as as a 335' building:

29 × 12' = 348' elephant stack

because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.  

Solve for x :
3x+2=11​

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Answer:

Separate the x and the numbers on each side and solve.

3x + 2 = 11

3x = 9

x = 3

Nicole went for a drive in her new car. She drove for 169.6 miles at a speed of 53 miles per hour. For how many hours did she drive?

Answers

169.6/53 = 3.2

about 3.2 hours

Answer:

3.2 hours

Step-by-step explanation:

169.6 ÷ 53 = 3.2

so, she drove 3.2 hours

The properties that characterize a square based pyramid that includes the faces,edges and vertices

Answers

Answer:

A square pyramid is composed of an eight-sided square base, four triangular sides, five vertices, and five vertices. This pyramid has a square base with a peak at the top. The fact that a square pyramid is a polyhedron was noted.

Step-by-step explanation:

The three-dimensional geometric shape of a square pyramid has a square base and four triangular sides that are joined at the vertex. Five facets make up its polyhedron shape (pentahedron). Four triangles joined at the vertex and a square base make up a square pyramid. Three sides, a square base, and a central vertex characterize the triangle side faces. The tallest point of the pyramid is known as its "apex." The base is represented by the bottom square. Faces are the three triangular vertices of the triangle. When viewed from the bottom up, a pentahedron is a five-sided, three-dimensional shape that resembles a square pyramid.

5/8 divided by 2 1/10

Answers

Answer:

0.29761904761

Step-by-step explanation:

Brainlest, Please!

Answer:

25/84

Step-by-step explanation:

1. 2 1/10 is mixed number fraction so convert it into an improper fraction.

~ Multiply whole number and denominator and add the numerator of 1

~ Improper fraction: 21/10

2. So, new equation is (5/8) / (21/10)

3. Use the Keep, Change, Flip method:

~ Keep the 5/8

~ Change division to multiplication

~ Flip the improper fraction to 10/21

4. Solve the equation:

~ (5/8) x (10/21) = 50/ 168

5. Reduce fraction:

~ By 2

~ 25/84

Find the distance between each pair of points

Answers

Answer:

7.071068 ≈ 7.07

Step-by-step explanation:

The distance, d,  between 2 points (x1, y1) and (x2, y2) is given by the formula

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

The two points as determined from the graph are (1, 5) and (2, -2)

[tex]d = \sqrt {(2 - 1)^2 + (-2 - 5)^2}[/tex]

[tex]d = \sqrt {(1)^2 + (-7)^2}[/tex]

[tex]d = \sqrt {{1} + {49}}[/tex]

[tex]d = \sqrt {50}[/tex]

[tex]d = 7.071068[/tex]

geometry, is this correct?​

Answers

Answer:

I think this is correct.

Step-by-step explanation:

The silo shown has a volume of 14,250 cubic feet. The top of the silo
is a hemisphere. And has a radius of 9. Find the height of the silo

Answers

Answer:

Step-by-step explanation:

Part A. The figure at the right is of 2 grain, storage silos. The diameter of each measures 24 feet and the height of the cylinder measures 51 feet. The height ...

Find the 62nd term of the arithmetic sequence-27,-21,-15

Answers

Step-by-step explanation:

For Arithmetic Sequence

Tn = a + (n -- 1)d

Where Tn = the no of nth term

a = First number

n = nth term

d = common difference

a = --27, T2 = --21

d = second term -- first term

d = --27 -- (--21)

d = --27 + 21 = --6

a = --27, n = 62, d = --6, T62 = ?

Tn = a + (n -- 1)d

T62 = --27 + (62 -- 1)×--6

T62 = --27 + (61 × --6)

T62 = --27 + (--366)

T62 = --27 -- 366

T62 = --393

find the indicated probability. in one town, 72% of adults have health insurance. what is the probability that 7 adults selected at random from the town all have health insurance?

Answers

Answer:
10.03

Explanation:

P(7 of 7 people have health insurance) = 0.72^7


P(7 of 7 people have health insurance) = 0.1003


P(7 of 7 people have health insurance) = 10.03%

Which relation is also a function?

Answers

Answer:

answer is D prettyy sure

A tennis ball machine fires balls a distance that is approximately normally distributed. The mean distance, μ, is unknown and the standard deviation is 1.2 feet. If 5% of balls go farther than 70 feet, find μ. (Round to 3 decimal places.)

Answers

The mean distance, μ, If 5% of balls go farther than 70 feet is; μ = 68.032

How to calculate the population mean?

We know that the formula to find the z-score is;

z = (x' - μ)/σ

where;

z is z-score

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

σ = standard deviation = 1.2

x' = sample mean = 70 ft

Now, the z-score that produces a p-value of 0.05 or 5% is; z = 1.64

Thus;

1.64 =  (70 - μ)/1.2

μ = 70 - (1.64 * 1.2)

μ = 68.032

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can you please help me?

Answers

Answer:

Time since the person starts walking is the input

t represents the input

Step-by-step explanation:

Find f (g (x)) for the functions f (x) = x+2 and g (x) = x²

Answers

Answer:

f(g(x) ) = x² + 2

Step-by-step explanation:

to find f(g(x) ) substitute x = g(x) into f(x)

f(g(x) )

= f(x²)

= x² + 2

(extra credit) suppose you have a well-balanced "super coin" with three sides or outcomes equally likely: head, middle, and tail. (the super coin is a die with opposite faces showing head, middle, and tail) you tossed this super coin two times.

Answers

Possible outcomes are Head, Middle, and Tail.

Since all outcomes are equally likely, the probability of each event is same, therefore

P(Head) = P(Middle) = P(Tail)

= 1/3

P(B|A) is 1/3

P(C|A) is 2/3

A and B are independent

A and C are not independent

Part a

Finding the sample space, S

S = { (HH), (HM), (HT), (MH), (MM), (MT), (TH), (TM), (TT) }

Part b

Finding  P(B|A) and P(C|A):

n(B and A) = no. of outcomes in which the first toss is Middle and second toss is Tail = 1

n(A) = Total no. of events in which the first toss is Middle = 3

Therefore, P(B|A) = 1/3

n(C and A) = no. of outcomes in which the first toss is Middle and total no. of heads is zero = 2

n(A) = Total no. of events in which the first toss is Middle = 3

Therefore, P(C|A) = 2/3

Part c

Finding if A and B are independent, or if A and C are independent

Two events A and B are said to be independent when the occurrence of one event does not affect the occurrence of the other event and vice versa. In case of independent events,

P(A) = P(first toss is Middle) = 3/9 =1/3

P(B) = P(second toss is Tail) = 3/9 = 1/3

P(A and B) = P(first toss is Middle and second toss is Tail) = 1/9

P(A)*P(B) = (1/3)*(1/3)

= 1/9 = P(A and B)

Hence, we can say that events A and B are independent.

For A and C, we have,

P(A) = P(first toss is Middle) = 3/9

P(C) = P(total no. of Heads is 0) = 4/9

P(A and C) = P(first toss is Middle and total no. of heads is 0) = 2/9

P(A)*P(C) = (3/9)*(4/9)

= 4/27 P(A and C)

Hence, events A and C are not independent.

The question was incomplete, the complete question is:

(Extra Credit) Suppose you have a well-balanced "super coin" with three sides or outcomes equally likely: Head, Middle, and Tail. (the super coin is a die with opposite faces showing Head, Middle, and Tail) You tossed this super coin two times

a) Describe the sample space using the notation HM for example, if the results are Head first, and Middle second.

Let;

A = event the first toss is Middle,

B = event the second toss is Tail, and

C = event the total number of Heads is 0.

b) Find

P(B|A)

P(C|A)

c) Are A and B independent? YES, NO, Why?

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Mrs. Jenkins gave her class the function f(x)=(x-5)(x+1). Four students made a claim about the function. Each student's claim is below.

• Annie: The x-intercepts are (5,0) and (1,0)

•Jacob: The y-intercept is at (-5,0)

• Neil: The vertex is at (2, -9)

•Zoey: The midpoint between the x-intercepts is at (-2,0)

Which student's claim about the function is correct?

Answers

The only student with the correct claim about the given quadratic equation is; Neil: The vertex is at (2, -9)

How to identify the features of a quadratic function?

We are given the quadratic function;

f(x) = (x - 5)(x + 1)

1) The x-intercepts of the quadratic function are simply the roots of the quadratic function. Now, the roots are at; (5, 0) and (-1, 0). Thus, Annie's claim is not correct.

2) The y-intercept is the point at which x = 0. Thus;

f(0) = (0 - 5)(0 + 1)

f(0) = -5

y-intercept is at; (0, -5)

Thus, Jacob is wrong.

3) The x-coordinate of the vertex is;

x = -b/2a

The equation is; x² - 4x - 5

Vertex = -(-4)/(2 * 1) = 2

y-coordinate is;

y = 2² - 4(2) - 5

y = -9

Thus, Jacob is correct

4) Zoey is incorrect because she didn't properly find the midpoint of the x-intercepts.

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A cyclist's speed is 1.5 times faster than a walker's speed. they simultaneously start at the same point and after 1.5 hours the distance between them is 12.5 miles. what are their speeds?

Answers

The speed of the walker is 16.67 miles per hour.

The speed of the cyclist is 25 miles per hour.

How to calculate the value?

Let the speed of a walker = x

Biker's speed = 1.5x

Their relative speed will be:

= 1.5x - x = 0.5x

Distance between them = 12.5 miles

Time taken = 1.5 hours.

It should be noted that distance will be:

= Speed × Time

12.5 = 1.5 × 0.5x

Divide through to get x

12.5 = 0.75x

x = 16.67 miles per hour.

Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.

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Find the value of x when 6 - 3x = 5x - 10x + 4.
The value of x is

Answers

Answer:

-1

Step-by-step explanation:

First combine like terms on the right side (5x-10x) to get -5x +4

6-3x=-5x+4

then move the -5x over to get 2x because you would add the -5x to the -3x.

6+2x= 4

then subtract 6 on both sides.

2x=-2

to make your final answer -1.

An 8 1/4 candle burnt down in 11 hours how far has it burn after 4 1/2 hours

Answers

Answer:

27/8 or 3⅜

Step-by-step explanation:

please rate as brainliest

solve for x
9x + 11
10x + 5

Answers

Answer: top: x= 2   bottom: x= -5

Step-by-step explanation: First you need to get rid of everything on the x side, so for example on the top one you would do 9-9 to get 0 so that x is by itself and then you also have to 11-9 because whatever you do to one side you have to do to the other. And then 11-9=2 so you are left with x= 2.

The answers could be
X=11/9 & X=1/2
This is only if your answers could be fractions and also be simplified

The moon is 2.4 x 10^5 miles from earth. Venus is 1.59 x 10^8 miles from the earth. How much further, in miles, is Venus than the moon from earth.

Answers

The Venus is at a distance of [tex]1.5876 * 10^8[/tex] further away from the earth than the moon

We have given that

The Distance of moon from the earth(in miles)= a=  [tex]2.4 * 10^5[/tex] miles

The Distance of venus from the earth(in miles)= b =   [tex]1.59 * 10^8[/tex] miles

What is distance?

The distance between two objects that are not points is usually defined to be the smallest distance among pairs of points from the two objects.

Now,

Let the distance from which venus is further away from the earth than the moon be x

So, x = b - a

x = [tex]1.59 * 10^8-2.4 * 10^5[/tex]

x = [tex]1590 * 10^5 - 2.4*10^5[/tex]

x = [tex](1590 - 2.4)*10^5[/tex]

x = [tex]1587.6*10^5[/tex]

x = [tex]1.5876 * 10^8[/tex]

Therefore, venus is at a distance of  [tex]1.5876 * 10^8[/tex] further away from the earth than the moon.

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You use the equation M/5 - 26 = 2L- 1/2g to calculate the amount of money M in your account at the end of the month, where L is the number of lawns mowed and g is the number of gallons of gas used.

a. Solve the equation for M

Answers

Based on the given equation, the change of subject of the equation to M is given by M = 10L - 5/2g + 130

How to make M the subject of the formula

Changing the subject of formula of an equation is the working out of a particular variable from the list of variables in the formula. The variable is either denoted with letter or symbol.

M/5 - 26 = 2L- 1/2g

Where,

M = the amount of money in your account at the end of the monthL = number of lawns mowedg = number of gallons of gas used.

M/5 - 26 = 2L- 1/2g

Add 26 to both sides

M/5 = 2L - 1/2g + 26

Cross product

M = 5(2L - 1/2g + 26)

M = 10L - 5/2g + 130

Therefore, the solving for M in the equation will give M = 10L - 5/2g + 130

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Please answer the questions

Answers

The numeric values for the given functions are as follows:

1. g(-4) = -21.

2. f(-1) = 3.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function at input x = a, we replace each instance of the variable x in the function by the desired value of a.

For item 1, function g(x) is defined as follows:

g(x) = -x² - 5.

We want to find the numeric value at x = -4, hence the lone instance of x is replaced by -4 as is shown below:

g(-4) = -(-4)² - 5 = -16 - 5 = -21.

Hence g(-4) = -21 is the numeric value.

For item 2, the function f(x) is given as follows:

f(x) = -3(1 - x - 3x²).

To find the numeric value at x = -1, both instances of x have their values replaced by -1, hence the numeric value will be given as follows:

f(-1) = -3(1 - (-1) - 3(-1)²) = -3(1 + 1 - 3) = 3.

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tienes una urna con "x" esferas. ¿cuales de la expresión algebraica de la extracción de 3 esferas?

porfaaaaa

Answers

Si definimos N como el nuevo número de esferas en la urna, entonces la expresión algebraica será:

N = x - 3.

¿Cual es la expresión algebraica para la extracción de 3 esferas?

Sabemos que tenemos una urna con x esferas, donde x representa un numero entero.

Sabemos que 3 esferas se extraen de la urna, es decir, el número total de esferas en la urna decrese en 3 unidades.

Entonces podemos escribir la expresión algebraica como:

N = x - 3

Donde definimos N como el nuevo número de esferas en la urna.

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8.
A ladder 3.5m long leaning against the wall of a house reaches
a height of 3.3m.
3.3m
wall
3.5m
(a) What angle does the ladder make with the ground? (3 marks)

Answers

Hence the angle theta is 70.5°

What is angle?

The space between two lines or surface that meet  measured in degrees.

As per the given question a ladder 3.5 m long leaning against the wall of a house reaches a height of 3.3 m we have to find what ladder make the ground.

Sol-

Let the angle is theta

Length of the ladder is 3.5m

Height of the ladder is 3.3 m

Sin= 3.5/3.3

      =0.942

Sin =sin 70.5°

Theta = 70.5°

Hence the angle is theta =70.5°

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