808 - 589 what is the answer I need help


(I'm just trying to see if anybody here smart)​

Answer:

a) 0.39984 = 39.984% probability of no orders in five minutes.

b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) The length of time is 0.63 hours

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.

This means that [tex]\mu = 11h[/tex], in which h is the number of hours.

a) Probability of no orders in five minutes.

Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]

This probability is P(X = 0). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

0.39984 = 39.984% probability of no orders in five minutes.

b) Probability of 3 or more orders in five minutes.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]

[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]

0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

This is h for which:

[tex]P(X = 0) = 0.001[/tex]

We have that:

[tex]P(X = 0) = e^{-\mu}[/tex]

And

[tex]\mu = 11h[/tex]

So

[tex]P(X = 0) = 0.001[/tex]

[tex]e^{-11h} = 0.001[/tex]

[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]

[tex]-11h = \ln{0.001}[/tex]

[tex]h =-\frac{\ln{0.001}}{11}[/tex]

[tex]h = 0.63[/tex]

The length of time is 0.63 hours

Answer:

500

Step-by-step explanation:

Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

Answer:

circumference = 8 x 3.14 = 25.12 m

area = 3.14(4²) = 50.24 m²

Step-by-step explanation:

Answer:

C= about 25.13

A= about 50.27

Step-by-step explanation:

The formula for circumference is 2* pi* r

The formula for area is pi *r^2

There are 175 cubic unit initially in the tank

The table of values is given as:

Time (minutes)     Amount of Water

1                              150

3                             100

6                             25

Calculate the slope (m) of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (100 - 150)/(3 -1)

Evaluate

m = -25

This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit

When x = 1, y = 150

So, we have:

x = 1 - 1 when y = 150 - (-25)

This gives

x = 0 when y = 175

Hence, there are 175 cubic unit initially in the tank

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Answer: I think it’s 1/8 = 7/56

The value of an equivalent fraction is,

⇒ 1/8 = 7/56

We have to given that,

A fraction to solve,

⇒ 1/8 = x/56

Now, We can simplify as,

⇒ 1/8 = x/56

Cross multiplication,

⇒ 56 = 8x

⇒ x = 56/8

⇒ x = 7

Therefore, The value of an equivalent fraction is,

⇒ 1/8 = 7/56

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Answer:

for this you should use photomath all you do is take a picture of each problem and put the answer down

Answer:

1 = 22.4

2 = 19

3 = 22.6

4 = 18.75

5 = 23.6

6 = 20.85

7 = 29.75

8 = approximately 21.85

9 = i can't read the bottom number sorry

* all of this is squared inches too

Answer: I think it is 142

Step-by-step explanation:

91 + 51 = 142

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

Answer:

2580 seconds

Step-by-step explanation:

There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

Answer:

2/5

Step-by-step explanation:

IXl answer

The experimental probability that the next drink sold will be a mocha is 2/5.

Number of mochas =4

Total drinks =10

Probability is the quantification of possibilities.

P(event) = Favorable outcomes/ Total outcomes

P(mocha) = 4/10

P(mocha) =2/5 =0.4 or 40%

Thus, the experimental probability that the next drink sold will be a mocha is 2/5.

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Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

Answer:

d

Step-by-step explanation:

Answer:

Answer D:2/3

Step-by-step explanation:

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!

Answer:

1. False

2. True

3. False

Answer$67

Step-by-step explanation:

Answer:

A or B

Step-by-step explanation:

Answer:

81 is the mode

Step-by-step explanation:

THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.  

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

Answer:

hi

Step-by-step explanation:

5x+10+2x+10+90=180

5x+2x=180-10-10-90

7x=70

x=10

have a nice day

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

Answer:

25

200 divided by 8 is 25.

Step-by-step explanation:

for a minute i thought it was c. y = -3x + 2.

Answer:

I dont even know lol

Step-by-step explanation:

Answer:

Like when its in a file? They just like to take your points

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

the value of x is 11 to make tv IOS

The measure value of y is 10.

Option C is correct.

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.

We have

RT= x+ 4

TQ= x- 3

RV= x+ 10

As, TV || QS

By using Basic Proportionality Theorem

RT / TQ = RV / VS

(x+ 4) / (x- 3) = (x+ 10)/ x

x² + 4x = x² -3x + 10x - 30

4x - 7x = -30

-3x = -30

x= 10

Thus, the required value is 10.

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5

Hope this helps you :D

Answer:

y < 4

Step-by-step explanation:

2(5y-2) < 36

Divide both sides by 2.

5y-2 < 18

Add 2 to both sides.

5y < 20

Divide both sides by 5 to isolate y.

y < 4

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft