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
Give the result of 3(x-2).
Answer:
3x-6
Step-by-step explanation:
3(x-2)
3 multiply both x and -2
3x-6
hope it's helpful ❤❤❤❤
THANK YOU.
for this graph, mark the statements that are true
i just started taking a math class today and i'm really rusty. my question is
simplify 28-(6+4)=(4-2)
Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss
Answer:
25% of 80 is D. 20kg
Step-by-step explanation:
50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.
So, the answer is D. 20kg
Hope this helps! :)
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts
Answer: $197 Billion
Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!
Round 8265 to the nearest ten?
What is the sale price of a hardcover book with a markdown of 46% and original price of 29.00 what is the discount amount
Answer:
15.66
Step-by-step explanation:
First you find what is 46% of 29.00 which is 13.34
Next do 29-13.34 and that is 15.66
that is your answer hope I helped. :)
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
[tex] \sqrt{81 \times 8} [/tex]
Answer:
Step-by-step explanation:
81 = 9 * 9 = 3 * 3 * 3 *3
8 = 2 * 2 * 2 *2
[tex]\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}[/tex]
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.
Please help I'm in the test.
Answer:
d(t)=8cos((pi/12)t)
Step-by-step explanation:
I think this is correct...
A=8 b/c 40-24=16, 16/2 = 8
B=2pi/per, 2pi/24, B = pi/12
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
Which ordered pair best represents the coordinates of
a point that could be the third vertex of the right
triangle?
A (5,-5)
B (-4,6)
© (-3,-6)
D (3,4)
PLS HURRY I HAVE A TEST
The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
what is 656 ÷ 4
we need to know how to solve this equation.
Answer: 164
Step-by-step explanation: 656 /4
164
I really need to know theese and rhe rest plsss
Answer:
10.45?
Step-by-step explanation:
Answer:
5.05
Step-by-step explanation:
-2.7+7.75
2.7 is how much he descends so its negative
And 7.75 for how much he went up so its positive
Arturo is driving at a speed of 50 miles per hour. At 2:00 he
sees the following sign.
Applebee
11 miles
Beauville
41 miles
Caanan
62 miles
Denton
98 miles
Arturo continues at the same speed. At 2:30 how far from
Caanan will he be?
A.
12 miles
B.
16 miles
C.
25 miles
D.
26 miles
E.
37 miles
Answer:
Your answer is 37
Step-by-step explanation:
Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)
Use distributive property to solve the problem
3 (9 - 10a) - 3a
Answer:
27- 1 = 26
Step-by-step explanation:
14 minus a number equals the same number plus 8
A) x= 4 b) x=5 C) x=7 D) x=3
Answer:
b- x=5
Step-by-step explanation:
14-5=8 so your answer would be b
Help with this work please.
Answer: x= 10, y= 13. i dont know for sure so i'd wait for someone else to answer
Answer:
x = 12
y = 13
Step-by-step explanation:
by pythagoras theorem
x²=20²-16²
x²=400-256
x²=144
x=12
y²=x²+5²
y²=12²+5²
y²=144+25
y²=169
y=13
PLEASE HELP ASAP
Maria recently hired a plumber to do some necessary work. On the final bill, Maria was charged a total of $473. The amount listed for parts was $335 and the rest of the bill was for labor. If the hourly rate for labor was $46, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is __________________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________________
Answer:
A)473 = 335 - 46x
B) 3
Step-by-step explanation:
A)
473 = 335 - 46x
x = the hours of labor needed.
B)
Solve for x
473 = 335 - 46x
subtract 335 from both sides
138 = 46x
divide both sides by 46
3 = x
Answer:
A) [tex]46x+335=473[/tex] B)[tex]x=3[/tex]
Step-by-step explanation:
473 is the total amount, which means it is the end result
335 represents a constant since it is a base price
the hourly rate is a variable, due to the fact that it depends on how many hours he spent working.
variable + constant = total price
[tex]46x+335=473[/tex]
Now to solve this, first subtract [tex]335[/tex] from both sides
[tex]46x=138[/tex]
Next divide both sides by [tex]46[/tex] to isolate the variable
[tex]x= \frac{138}{46}[/tex]
This can be simplified to: [tex]x=3[/tex]
plz mark me brainliest. ;)
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
15 points and brainliest! Solve for x. 7x + 3 = 17
A: x= 2
B: x=7
C: x=20
D: x=27
Answer:
Its A
Step-by-step explanation:
7x + 3 =17
-3 ( 17 -3 = 14)
7x = 14. (14 divided by 7)
u get x=2
A coat at a store is originally priced at $85. The store marks the price down to $68. To the nearest percent, what is the percent markdown of the coat ?
Answer:
20%
Step-by-step explanation:
This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Find o% of 176:
Find 100% of 176:
Find 50% of 176:
Find 25% of 176:
Find 75% of 176: