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
what is the ordered pair for y- 4 = 7(x-6)
Answer:
(6,4)
Step-by-step explanation:
the ordered pair is (6,4)
Answer: Choice D
(6,4)
Step-by-step explanation:
If you are doing the khan it's neither. Hope this helps
Write 7 times the sum of y and 1/3 as an algebraic expression
Answer:
7 x (y+1/3)
because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
7 times the sum of y and 1/3
This can be written as,
= 7 (y + 1/3)
=7 (3y + 1) / 3
= 7/3 (3y + 1)
Thus,
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
Learn more about expressions here:
https://brainly.com/question/3118662
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I also need help with this one so pls help me
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
HELP HELL HELP HELP HELP HELP HELP HELL
Answer:
j
Step-by-step explanation:
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.45
Answer:
True
Step-by-step explanation:
1.45 the 5 is equal/above it so it is true
An angle turns through 60 one degree angles. What is the measure of the angle?
9514 1404 393
Answer:
60°
Step-by-step explanation:
60 × 1° = 60°
The angle measure is 60°.
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 122y = 2x = 8 y = x + 4
Answer:
I love algebra anyways
the ans is in the picture with the steps how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
can someone answer this whole page lol
marking brainliest btw
Answer: all i can read is number 2 and the answer is 5ft
Step-by-step explanation:
Answer:
B) [tex]\sqrt{225-81}[/tex]H) 5Triangle DG) 18 yardsStep-by-step explanation:
To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.
Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.
Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.
Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.
Hope it helps!
Martin will ride his bike from his aunts house. He has two different routes he can take. One route goes up and down hill. The other route avoids the hill by going around the edge of the hill. How do you think the routes will differ. What do you think about the relationship of speed and time?
Answer and explanation:
One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.
Relationship between distance and time is given by the formula:
Distance = Speed × time
For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
In the figure below, D is the midpoint of AC, and BD is perpendicular to AC.
What is the length of BD?
Answer:
(BD)^2 + (DC)^2 = (BC)^2
(BD)^2 + (15)^2 = (25)^2
(BD)^2 +225 =625
(BD)^2= 400
BD= 20cm
Step-by-step explanation:
You place two wooden support beams under a shelf, as shown. Find the value of x.
(2x + 10)
(x + 5)
Answer:
X=55
Step-by-step explanation:
(2x+10)+(x+5)=180
Combine like terms.
3x+15=180
Subtract 15.
3x=165
Divide by 3.
x=55
Answer:
see attached
Step-by-step explanation:
angles on a straight line
HELP PLEASE WALLAHI HELP PLS WALLAHI HELP
Answer I think its 6 and -3
Step-by-step explanation:
I really need help with this plz
Answer:
n<4
It goes to the left
Step-by-step explanation:
Let's solve your inequality step-by-step.
6n+7<31
Step 1: Subtract 7 from both sides.
6n+7−7<31−7
6n<24
Step 2: Divide both sides by 6.
6n/6<24/6
n<4
for 30 points here you go please answer truthfully
Answer:
855 sorry i miscalculated :c okay stay safe :D
Step-by-step explanation:
enjoy
3 Solve the inequality -- X + 6 >-3 4 Ox>-2 0x 12 0x< 12
Answer:
D)
Step-by-step explanation:
A group of men decided to do a job in 8 days.
But since 10 men dropped out every day, the job
got completed at the end of the 12th day. How
many men were at the beginning?
Given :
A group of men decided to do a job in 8 days.
10 men dropped out every day, the job got completed at the end of the 12th day.
To Find :
How many men were at the beginning ?
Solution :
Let, total number of men initially are n.
It none of them leave, total work :
W = 8n ...1)
It is given that 10 men are dropped each day it takes them 12 day to complete the work :
W = ( n ) + ( n - 10 ) + ( n - 20 ) + .... + ( n - 110 )
W = 12n - ( 0 + 10 + 20 + ...... + 110 )
W = 12n - 660 ...2)
Since, total work is same in both the cases, so equating both equation, we get :
12n - 660 = 8n
4n = 660
n = 165
Therefore, their are 165 men in the beginning.
Which activities demonstrate ability the most?
Answer the question quickly please 3y=24
Answer:
y = 8
Step-by-step explanation:
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
Insta: 25k_kemIf four bicycle lamps cost £24 how much would seven lamps cost?
4/5,3/10 =. Please help
Answer:
The answer would be 0,0754716981
Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74
Answer:
C. 82.84
Step-by-step explanation:
Seven less than three times her number is between two and eleven(inclusive)
Answer:
3≤x≤6
Step-by-step explanation:
2≤3x-7≤11
2+7≤3x-7+7≤11+7
9≤3x≤18
9÷3≤3x÷3≤18÷3
3≤x≤6
14.4 = -2.46
what is the answer
the question isn't true so that means it's false
This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi.
Answer: 36.56
Step-by-step explanation:
5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?
Answer:
a. 12:10 pm
b. 40 mph
Step-by-step explanation:
Assuming you meant to type 1 ¹/₄ hours later.
a. First convert that to a improper fraction and then a decimal:
= 5/4
= 1.25 hours
1.25 hours in minutes is:
= 1.25 * 60
= 75 minutes
= 1 hour 15 minutes
The motorist left at 10:55.
= 1055 + 1 hour
= 11:55
Add 15 minutes:
= 12:10 pm
b. Speed = Distance / Time
= 50 / 1.25 hours
= 40 miles per hour
6 devide by 7.3 so what is the answer
Answer:
0.82
step-by-step explanation:
Find the perimeter of the rectangle. 11. 13 cm Area = 52 cm2
Answer:
1352 cm
Step-by-step explanation:
Length (l) = 13 cm
Width (w) = 52 cm
Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42
Thus, the perimeter of the rectangle is 42 cm.
Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?
Solution:
We know that the dimensions of the rectangle in terms of x:
l = 2x + 1
w = 2x – 1
Since the area of a rectangle is given by:
A = l * w
We can substitute the expressions for length and width into the equation for area in order to determine the value of x.
A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2
Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 11 cm
w = 52 cm
Therefore, the dimensions are 5cm and 3cm.
Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm