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
I need the answer too all of these:
1. 7x + 1x = ?
2. 6 + 1 + 5x = ?
3. 4x + 7x + 3 - 2 = ?
4. 6x + 6 + 8 + 1x = ?
5. 7x - 7x + 2 = ?
6. 3x + 6 + 1x = ?
7. 8- 8x - 3 = ?
8. 2x - 5 + 2 =
HELP ASAPP
Tony wants to use his savings at the end of March to buy video games. The games cost $35.75 each. How many games can Tony buy
Answer:
how much money is he saving????
Step-by-step explanation:
The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =
Given the position function
s(t) = 3 - cos(t )
differentiate once to get the velocity, and twice to get the acceleration:
v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92
a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40
The acceleration is negative, so the particle is slowing down.
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up
Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
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the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate
Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.
Answer:
Step-by-step explanation:
270 div
It’s due late tonight can some pls help me pass
Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer
Answer:
does it have to be simpilfied? if not: 19/20
Step-by-step explanation:
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
Anyone knows this one
Answer:
10 over 11
Step-by-step explanation:
Y2 minus Y1 over X2 minus X1
Answer:
10/11 or 10 over 11 rise
Step-by-step explanation:
Slope formula: (y2 - y1) / (x2 - x1)
(-20 - 0) / (-14 - 8)
(-20) / (-22)
= 10/11
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
i dont know this help me
Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?
Answer:
1/20
Step-by-step explanation:
1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.
1/5 X 1/4 = 1/20
Answer:
i got 1/20 as my answer
One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
https://brainly.com/question/21405634
what is 900 * 158000
Answer:
142,200,000
Step-by-step explanation:
Used Calculator
Answer:
142200000
Step-by-step explanation:
It's a really long answer
Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!
Answer:
1. x = 65
2. x = 40
3. x = -7
4. x = -4
5. x = -7
6. x = 4
Step-by-step explanation:
Angles in a triangle always add up to 180 degrees.
Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.
1. 180 = 80 + 35 + x
180 - (80 + 35) = x
180 - 115 = x
65 = x
2. 180 = 70 + 70 + x
180 - (70 + 70) = x
180 - 140 = x
40 = x
3. 180 = 76 + 41 + (x+ 70)
180 - (76 + 41) = x + 70
180 - 117 = x + 70
63 = x + 70
63 - 70 = x
-7 = x
4. (the red square means its a right angle = 90 degrees)
180 = 90 + 25 + (x + 69)
180 - (90 + 25) = x + 69
180 - 115 = x + 69
65 = x + 69
65 - 69 = x
x = -4
5. 180 = 50 + (57 +x) + (x + 87)
180 - 50 = (57 +x) + (x + 87)
130 = (57 +x) + (x + 87)
combine like terms
130 = 144 + 2x
130 - 144 = 2x
-14 = 2x
-7 = x
6. 180 = 80 + (9x + 4) + (16x - 4)
180 - 80 = (9x + 4) + (16x - 4)
100 = (9x + 4) + (16x - 4)
combine like terms
100 = 25x + 0
100 = 25x
4 = x
Wheel I has diameter 24.9 in. Wheel II has diameter 21.0 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel I travel in one rotation? Use 3.14 for π.
Answer:
76
Step-by-step explanation:
because the other guy said so
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
What property do rectangles and parallelograms always share?
4 right angles
4 sides of equal length
2 pairs of parallel sides
2 acute angles
Answer:
the answer is
2 pairs of parallel sides
I hope this helps!
2ab( 4a2 + 3ab - 7b2)
Answer:
6ab + -3a2
Step-by-step explanation:
2ab(4a2 + 3ab - 7b2) original problem
2ab(3ab + 4a2 - 7b2) commutative property
2ab(3ab + -3a2) subtract
4 - 7 = -3
6ab + - 3a2 mulitiply
2ab x 3ab = 6ab
and that is you final expression, you can't add the last 2 numbers cause they are not like terms.
Answer:
1.8ab²
2.7xy⁶
3.7x²
4.8x²+4
5.43y⁵+21
Step-by-step explanation:
yan palang po ung nasagutan ko hindi ko pa po alam kung tama pero yan na ung solution : )
I need help plz due in 20 min
Answer:
No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8
Step-by-step explanation:
Plzzzzzz help meeee plz I am timed
Answer:
multiplication property of equality. Hope this help and maybe a brainlist?
Step-by-step explanation:
Answer:
multiplication property of equality
Step-by-step explanation:
d/10=12
Multiply both sides by the equation by 10
10× d/10=10×12
Reduce the numbers by the greatest common factor which is 10
d=10×12
Multiply 10 and 12
d=120
So using multiplication to solve this equation
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24