Which of the following statements is true

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

3/8 x 3/2

(3×3)/(8×2)

9/16

Answer:

9/16

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

Answer:

0.2587 = 25.87% probability that the first pass he completes is the second pass.

Step-by-step explanation:

Probability that the first pass he completes is the second pass.

Misses the first, with a 100 - 67.9 = 38.1% = 0.381 probability.

Completes the second, with 0.679 probability. So

0.381*0.679 = 0.2587

0.2587 = 25.87% probability that the first pass he completes is the second pass.

Answer:

C. V = π(2.5)²h

Volume = 19.6h

Step-by-step explanation:

Radius (r) of cylinder = ½ of 5 = 2.5 in.

Height (h) = h in.

Volume of a cylinder = πr²h

Equation that can be used to find B:

Plug in the values into the volume formula

V = π(2.5)²h

Volume = 19.6h

Answer:

-12x  - 8

Step-by-step explanation:

Distributive property: a*(b + c) = (a*b) + (a *c)

2(-6x - 4) = -6x *2 - 4 * 2

              = -12x - 8

Answer:

On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.

Step-by-step explanation:

Answer:

Yes true

Step-by-step explanation:

the numbered add up

Answer:

The variable that will represent the cost of one burger will be "b".

The equation is $39.78/17=b

Answer is $2.34

Step-by-step explanation:

Find out how many students she has.

Find out how much she paid for all burgers.

Divide amount she paid for all the burgers by the amount of students she has.

Finally, you have your answer.

Answer:

Step-by-step explanation:

192in(5ft/2in)=480ft

4in(5ft/2in)=10ft

A=480ft(10ft)=4800ft^2

Answer:

angle 4 = 34 degrees

Step-by-step explanation:

angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.

Answer:

34

Step-by-step explanation:

<1+<2=180° because these are neighbour angle

X+34=180

X=146

Then you can apply the left side

X+146=180

X=34

Answer:

7.5

Step-by-step explanation:

if one square is unit then use area formula for a right triangle which is 1/2bh

since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5

hope this helps

Answer:

Step-by-step explanation:

It’s going to be 42 inches and 40 inches because we are simplifying

The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

given that,

Camila drew a triangle with a side that is 24 inches long

and a side that is 18 inches long.

we know, that,

sum of length of two sides > third side,

so, the possible lengths are,

40 inches , 7 inches , 18 inches

Hence, The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

To learn more on triangle click:

brainly.com/question/29126067

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Answer:

42

Step-by-step explanation:

w/6 = 7

multiply both sides by 6

w = 42

Answer:

17-gon

Step-by-step explanation:

There are 17 sides of the polygon.

Answer:

y=[tex]\frac{12}{11}x[/tex]+[tex]\frac{-18}{11}[/tex]

Step-by-step explanation:

What you do first is you move the 12x to the other side of the equation to get

-11y=18-12x

Move the 12x to the front to get the slope intercept form set up

-11y=-12x+18

Then divide the whole thing by -11 to get the y to become by itself

y=[tex]\frac{12}{11}x[/tex]+[tex]\frac{-18}{11}[/tex]

The 12/11 will become positive and the b value will become negative

How to get the mode:

- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5

How to get mean:

- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9

=> 63 / 9

=> 7

How to get median:

- To find the median, first order the numbers from smallest to largest. Then find the middle number

3, 4, 5, 5, 6, 7, 10, 11, 12

So the middle number is 6

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

Mean: 7

Median: 6

Mode: 5

Answer:

Variant D

Step-by-step explanation:

-2*(-2)*(-2)*(-2)=16

Answer:

(9)(27) also 243

Step-by-step explanation:

So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243

Answer:

the slope is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]

Answer:

B) 9

Step-by-step explanation:

15 minutes = 3 miles

15x3 = 45

3x3=9

Answer:

im guessing 100 milligrams of vitamin c

Step-by-step explanation:

Answer:

100 mg

Step-by-step explanation:

you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%

Answer:

I think the option b

But not sure about it

Answer:

A. 5/9 square meters

Step-by-step explanation:

Given

Length (L) = 5/6 meter

Breadth (b) = 2/3 meter

Now

Area of the garden

= L * b

= 5/ 6 * 2 / 3

= 5 / 9 square meters.

Hope it will help :)

Answer:

720 Minutes

An analogue clock is split up evenly in two ways. Minutes are sixty equal parts and hours are 12 equal parts. That means that for every hour maker from 12 there are also five minute markers.

Hoped this helped!

Brainly, please?

Step-by-step explanation:

= 6 / 8 × 2

= 0.75 × 2

= 1.5

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