The United States Postal Service reports 95% of first-class mail within the same city is delivered within two days of the time of mailing. Six letters are randomly sent to different locations. 1. What is the probability that all six arrive within two days? 2. What is the probability that exactly five arrive within two days? 3. Find the mean number of letters that will arrive within two days. 4. Compute the variance and standard deviation of the number that will arrive within two days.

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a binomial probability distribution because the outcome is either a randomly selected first-class mail within the same city is delivered within two days of the time of mailing or more days. The probability of success, p is that it is delivered within 2 days. Therefore,

p = 95/100 = 0.95

q(probability of success) = 1 - p = 1 - 0.95 = 0.05

n = number of samples = 6

1)The probability that all six arrive within two days, P(x = 6) would be determined from the binomial probability distribution calculator. Therefore,

P(x = 6) = 0.74

2) P(x = 5) = 0.23

3) mean = np = 6 × 0.95 = 5.7

4) Variance = npq = 6 × 0.95 × 0.05 = 0.285

Standard deviation = √0.285 = 0.53


Related Questions

Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3

Answers

Answer:

The angles of this would be x=30

Step-by-step explanation:

If they are proportional to 1:2:3, then we can do 2 things.

They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.

Second, the angles of an triangle equal 180.

Adding 1 + 2 =

1x + 2x + 3x = 180

6x = 180

x = 30

Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.

SOMEBODLY PLZ HELP ASAP! Find x

Answers

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

4i believe your answer is X=4

Please answer this question now in two minutes

Answers

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?

Answers

Answer:

2 months

Step-by-step explanation:

$80 x 0.5 = $40

$80 + $40 = $120

$120 * 0.25 = $30

1st month - $120-$30 = $90

2nd month - $90-$22.5 = $67.5

Answer:

AFTER 2 MONTHS

Step-by-step explanation:

9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.​

Answers

Answer:

a) deceleration = 0.4 m/s^2

b) distance = 320m

Step-by-step explanation:

a)

using formula a = (v-u)/t,

acceleration a = unknown (deceleration is the negative of acceleration)

final velocity v = 0 m/s (rest)

initial velocity u = 16 m/s

time t= 40s.

a = (0-16)/40

a = -0.4

Hence deceleration = 0.4 m/s^2

b)

Use formula v²-u² = 2as

distance s = unknown

0²+16² = 2(-0.4)(s)

s = 320m

Sally is reading a comedy book. The table below shows a proportional relationship between the number of pages she reads and the number of hours she spends each day reading. What is the constant proportionality in pages per hour? Hours 4 5 Number of Pages 20 25 Show your work:

Answers

Answer:

5 pages per hour

Step-by-step explanation:

Here, we need the constant of proportionality in pages per hour.

This is just like having 2 sets of point of a graph and asked to find the slope

Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.

So let’s proceed to say we have points ;

(4,20) and (5,25)

So the constant of proportionality would be;

(25-20)/(5-4) = 5/1 = 5 pages per hour

.................................

Answers

Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c

4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $​

Answers

Answer:

Step-by-step explanation:

The pasta plate will cost $​ 5.5

y=4x+2.5 ( x is the number of ingredients)

$​ 2.5+(4*0.75)= 5.5 dollars

PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution

Answers

Answer:

No solutions.

Step-by-step explanation:

x minus 3y = 4

x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3

-2x + 6y = 3

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Hope this helps!

The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given system of equation;

x minus 3y = 4 means x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3 means -2x + 6y = 3

Solving;

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Learn more about equations here;

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Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.

Answers

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)​

Answers

Answer:

Output work = 1Nm

Input work = 1Nm

Load arm = 0.02m

Step-by-step explanation:

Given the following :

Effort applied = 10N

Load = 50N

Effort distance = 10cm = 10/100 = 0.1m

Calculate : the load arm, input work and output work

Input work = Effort × distance moved by effort

Input work = 10N × (0.1)m = 1J

B) Load arm or load distance :

Mechanical advantage (MA) = load / effort

MA = 50 / 10

MA = 5

MA = input distance / output distance

5 = 0.1 / load arm

load arm = 0.1 / 5

load arm = 0.02m

C.) Output work :

Load × load distance

50N × 0.02

Output work = 1J

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back (you don't have to go on the same road there and back)?

Answers

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways go to up and seven ways to go down, the number of different ways of going to the top and come back is the product these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways


Hellppppppplpp pleaseee

Answers

it would be 3

15 divided by 5 is 3
25 divided by 5 is 5

Answer:

The answer is 3.

Step-by-step explanation:

In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.

Hope this helps! Stay safe! So cool that you live in the UK!

xx gloriouspurpose xx

p.s. from america lol

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?

Answers

Answer: 32

Step-by-step explanation:

Let x + y = 5

x = 5 - y....................(1)

10x + y -9 = 10y + x..... . (2)

Substituting (1) in (2)

10(5-y) + y - 9 = 10y + (5-y)

50-10y + y - 9 = 10y + 5 - y

41 - 9y = 9y + 5

-9y - 9y = 5-41

-18y = - 36

y = 36/2 = 2

So, x = 5-2 = 3

Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two points?

Answers

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]

Plug in the numbers:

[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]

[tex]d=\sqrt{6^2+(-6)^2}[/tex]

[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]

Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.

Answers

Answer:

[tex] 4y^3 [/tex]

Step-by-step explanation:

[tex] \dfrac{4}{y^{-3}} = [/tex]

[tex] = 4 \times y^3 [/tex]

[tex] = 4y^3 [/tex]

Answer:

4y^3

Step-by-step explanation:

Which is a perfect square ?

Answers

81 because the square root is 9
Mark brainliest please

the product of a rational number multiplied by itself.

Help! I'm unsure as to how to solve this... True or false? Can a polygon with 21 sides have 432 possible diagonals.

Answers

Answer:

NO, it can have only 189 possible diagonals

Step-by-step explanation:

No. of diagonals in a polygon is given by n(n-3)/2

where n is the number of sides in the polygon.

Given

polygon has 21 sides

thus, no. of diagonals for 21 sided polygon is = 21(21-3)/2 = 21*18/2 = 189

while in the problem it is asking if it has 432 possible diagonals

which is wrong.

Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito

Answers

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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x+3y = — 15
slove linear system graphically​

Answers

Answer:

x=−3y−15

Step-by-step explanation:

Let's solve for x.

x+3y=−15

Step 1: Add -3y to both sides.

x+3y+−3y=−15+−3y

x=−3y−15

Answer:

x=−3y−15

It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g

Answers

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

help me quickly please!
what is the area of the shaded region? (25pi-48)cm^2 (25pi-30)cm^2 (25pi-24)cm^2
(25pi-12) cm^2

Answers

Answer:

25pi-24 cm²

Step-by-step explanation:

pi(5)²-2(1/2)*6*4

25pi-24 cm²

The area of the shaded region is (25π - 24) sq.cm.

What is area of circle?

"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."

What is the area of the triangle?

"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."

What is an isosceles triangle?"It is a triangle that has any two sides equal in length.""The angles opposite to equal sides are equal in measure.

For given question,

area of the shaded region = area of circle - area of 2 isosceles triangles

First we find the area of the circle:

Here, radius r = 5 cm

So, the area of the circle would be,

[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]

Now, for isosceles triangle,

base b = 6 cm

And height h = 5 - 1

                   h = 4 cm

Using the formula for area of the triangle,

[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]

So, the area of the shaded region would be,

the area of the shaded region

[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]

Therefore, the area of the shaded region is (25π - 24) sq.cm.

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Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)

Answers

Answer:

D (6,1)

Step-by-step explanation:

[tex]x + 3y = 9[/tex]

[tex]y = x-5[/tex]

When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.

[tex]x + 3y = 9[/tex]

[tex]x+3(x-5)=9[/tex]

[tex]x+3x-15=9[/tex]

[tex]4x=9+15[/tex]

[tex]4x=24[/tex]

[tex]x=6[/tex]

When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.

When x=6, substitute into [tex]y = x-5[/tex]

[tex]y=6-5[/tex]

[tex]y=1[/tex]

Hooray, now you have the value of x and y which are x=6 and y=1.

I hope you will understand the answer.

You can ask any question here if you still cannot get the point. Don't be shy.

Answer:

d (6,1)

Step-by-step explanation:

a pex

Anyone know the answer ?

Answers

Answer:

102

Step-by-step explanation:

We can find x by using the fact that the angles in a triangle add up to 180.

73+42+x=180

x = 65

We can find y by using the fact that angles on a straight line add up to 180.

131+y=180

y=49

We can find the third angle in that triangle.

65+49+n=180

Let n represent the third angle in the triangle.

n=66

Then z + n = 180

z + 66 =180

z= 144

Let the angle in the bottom left be i

z+i = 180

144 + i = 180

i = 36

Let's find l.

The angles in a triangle add up to 180.

36 + 49 + l =180

l = 95

y is a vertical angle.

95+ y + u = 180

95+49+u=180

u=36

180-36=144

then the right triangle (with angle of 42) has a corner of 36.

36+42+t = 180

t= 102

102 + f = 180

f = 78

f + w = 180

78 + w = 180

w = 102

Find the area of the shaded regions

Answers

Answer:

c

Step-by-step explanation:

Please answer this in two minutes

Answers

Answer:

v = 42

omg i hope this helps!!

What is the The range of y = square root X-5 – 1

Answers

Answer:

[-1, infinity)

Step-by-step explanation:

I must assume that you meant y = √(x - 5) - 1.

The range of the square root function is [0, infinity.

If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).

Answer:

B. y > = -1

Step-by-step explanation:

edge 2020

Which one is not a polynomial



– p + 5 + p^2

x^2 + 5x

(x - 1)/x

x^3 - 3​

Answers

Answer:

(x-1)/x

Step-by-step explanation:

its not having any term .

Answer:

(x - 1)/x

Step-by-step explanation:

A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.

All are polynomials except for (x - 1)/x where there is division by a variable.

h e l p which table represents a linear function (taking a test!!!)

Answers

Answer:

Step-by-step explanation:

it is table 4, because it y has constant change for every input of x

which is 2

-4/-2=-8/-4=-16/-8=2

Answer:

4

Step-by-step explanation:

A population numbers 12,000 organisms initially and grows by 10.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a ⋅ b t where

Answers

Answer:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Step-by-step explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

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