at a 911 call center, calls come in at an average rate of one call every two minutes. assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is received, it takes more than 3 minutes for the next call to occur.

Step-by-step explanation:

2 inches = 3 feet

x inches = 12 feet

[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]

Answer:

[tex] \bf \boxed {x=8} [/tex]

Step py step explanation:

2 inces ........ 3 feet

x inces ......... 12 feet

⇒ x = 12 • 2 /3

x = 24/3

x = 8

______

Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

Answer:

10 eggs per chicken

Step-by-step explanation:

if you divide you get 10 eggs per

Answer:

B. Smaller

Step-by-step explanation:

This is because absolute value doesn't matter about negative or positive

Answer:

False

Step-by-step explanation:

[tex]36 \times 8 = 304[/tex]

[tex]304 \div 12 = 25.333[/tex]

[tex]25.323=25.333[/tex]

Hence, the equation is false.

Answer:

  √53 ≈ 7.3 miles

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.

__

If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...

  c² = a² +b²

  c² = 2² +7² = 53

  c = √53 . . . . . exact corner-corner distance in miles

  c ≈ 7.3 . . . . . . approximate corner-corner distance

The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.

Answer:

The green line is LM

The red line is JM

The blue point is at the coordinates (2/3, -14/3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Literally just do the work yourself man...

Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

Answer:

your answer would be 2035.75ft³

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Answer:

8 in

Step-by-step explanation:

[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]

[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer:

-2/5

Step-by-step explanation:

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

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

Answer:

1/16 meters

Step-by-step explanation:

perimeter of a square = 4 x length of each side,

so the length of each side is (1/4)/4 = 1/16 meters

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

Answer:

10

Step-by-step explanation:

1/8 of 16 is 2

1/4 of 16 is 4

2+4=6

16-6=10

Answer:

14

Step-by-step explanation:

The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.

So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.

Answer:

3) D

5) C

3) 6m+5n-m --> 6(5)+5(3)-(5)

                          30+15-5 --> 45-5 --> 40

5) 4(x+4)+2

   4x + 16 +2

   4x +18

Answer:

3)

Given:

m = 5

n = 3

We plug in these values into our equation (6m + 5n - m);

6m + 5n - m

Now modified, would be:

6(5) + 5(3) - 5

30 + 15 - 5

45 - 5

= 40

5)

If we simplify this expression,

4(x + 4) + 2

We use the distributive property to multiply 4 to both x and 4 which are in the brackets.

Which will now be;

4x + 16 + 2

Now we combine like terms (our constants):

(16 + 2) = 18

So it would be, now:-

4x + 18, C is your answer.

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 0.8 \ pounds[/tex]

    The standard deviation is  [tex]\sigma = 0.25 \ pounds[/tex]

Generally the the probability that a  randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

       [tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]

=>    [tex]P(0.55 <  X  <  1.3)  =  P( -1 <  Z  <  2 )[/tex]

So looking the option of normal curves given in the question we see that it is option A that matches our interval  

[tex]7x(x^2-5)[/tex]

Step-by-step explanation:

[tex]7x^3-35x[/tex]

Factor Greatest Common Factors out

[tex]7x(x^2-5)[/tex]

I hope this helps you

:)

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

Answer:

x=

Step-by-step explanation:

using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10

5(x-2)=30

5x-10=30

5x=40

x=8

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the amount of bacteria after x hours. Hence:

y = 100(8)ˣ

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

its c third graph

Step-by-step explanation:

right on edge