find the “x” in simplest form

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Answer:

b and d

Step-by-step explanation:

Answer:

3= 25 4= 20 25= 5

Step-by-step explanation:

its a pattern. the top goes up by ones and the bottom goes up by fives.

Answer:

C.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

12 times 1/2=6

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

6-(-2)

6+2

=8

Answer:

Option (1)  ;   y = 7x

Step-by-step explanation:

(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7

(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3

(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2:  rate of change = (8 - 0) , (2 - 0) = 4

(4) shos a line with slope (rate of change) given by:  (12 - 0) / (2 - 0) = 12/2 = 6

Therefore, the greatest rate of change is shown by the first expression  

y = 7 x

Answer: step 3 maybe?

Step-by-step explanation:

Answer:

Your answer is "H"

Step-by-step explanation:

Answer:

i am gessing to divide

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

3:1 is the answer

it is simplified

Answer:

Rhombus

Step-by-step explanation:

The diagonals of Rhombus bisect each other and form 4 right triangles. Since they are right triangles, they measure 90 degrees so the diagonals are perpendicular.

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm

Answer:

August = 3.4

September = 2.8

Step-by-step explanation:

Given

[tex]Total = 6.2\ in[/tex]

Represent August with A and September with S.

So,

[tex]A =S + 0.6[/tex]

Required

Amount of rainfall in each month.

This is calculated using:

[tex]Total = August + September[/tex]

[tex]6.2= A + S[/tex]

Recall that: A = S + 0.6. Substitute

[tex]6.2= S + 0.6 + S[/tex]

[tex]6.2= 2S + 0.6[/tex]

Collect Like Terms

[tex]2S = 6.2 - 0.6[/tex]

[tex]2S =5.6[/tex]

Solve for S

[tex]S = 5.6/2[/tex]

[tex]S = 2.8[/tex]

Substitute 2.8 for S in [tex]A =S + 0.6[/tex]

[tex]A = 2.8 + 0.6[/tex]

[tex]A = 3.4[/tex]

Answer:

Roger will have to sleep 2.667 days.

Step-by-step explanation:

If Roger sleeps 3 / 8 of a day in one day.

Then for Roger to sleep the equivalent of one day he will have to sleep

=

Answer:

7 seconds

Step-by-step explanation:

1820/260=7.

Answer:

7m/sec

Step-by-step explanation:

Answer:

4x-20

Step-by-step explanation:

Answer:

A reflection over the y axis .

Step-by-step explanation:

Given  : Transforms (a,b) to (-a,b).

To find : What type of transformation.

Solution : We have given

Parent function : (a,b) .

Transformed  : (-a ,b).

Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).

Then we can say in transformation (a,b) →→→→ (-a,b).

Therefore, A reflection over the y axis

Step-by-step explanation:

plz brain list

Answer:

hes right i took the test

Step-by-step explanation:

Answer:

she will save $32.50 with the monthly pass

Step-by-step explanation:

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

Answer:

20 ft.

Step-by-step explanation:

You can solve this as a proportion:

[tex]\frac{1}{2} = \frac{10}{y}[/tex]

The y is equal to 20.

Hope it helps!

Answer:

2=72 4=148  6=222  10=370 15=555 16=592

sorry about the second part i didnt see it

Answer:

148, 3 , 740, 1110, 8.

Step-by-step explanation:

Miles: 148 + 740 + 1,110 = 1,998

Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42

Answer:

the answer is b well i dont know i cant see any thing

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

I took the test!!

Step-by-step explanation:

Pit this in your calculator exactly like this 4,000(1.05)^5 and you get the answer 5,105.12625. So round your answer to the nearest dollar, which is 5,105.