Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.
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]
In this problem, mean of 66 seconds, hence, the decay parameter is:
[tex]\mu = \frac{1}{66}[/tex]
The probability that a customer waits less than 39 seconds is:
[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]
0.4462 = 44.62% probability that a customer waits less than 39 seconds.
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Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
Does the equation Y equals 2X +3 represent a proportional relationship
True or false, the two triangles are congruent by ASA
O true
false
Answer:the answer is true
Step-by-step explanation:
Because the two triangle are congruent ASA
Abdul has an original recipe for a drink with apple, orange and pineaplle juice.He makes new fruit drinks by making different quantities of the three juices. the table shows the amount of the juice in the recipe and in each juice
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Please look at picture for question.
Answer:
[tex]\frac{-1}{5}m -\frac{4}{5}[/tex]
Step-by-step explanation:
Combine the like terms (2/5) and (-3/5) m
This will give you -1/5
place the remainder of the equation.
if you like my answer, please mark me brainliest !! thanks !! <3
The cost of a trailer decreases in value by 25% What is the cost of the trailer if it was initially bought for $125 b $250 C. $375 d. $750 e x dollars
Answer:
the answer isn't there, but the answer is $93.75
Step-by-step explanation:
juan visited a candy store
Answer:
ok lol
Step-by-step explanation:
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
O A. y = 5x
OB. y = 5x + 10
O C. y = x
OD. y = 5x - 1
Answer:
y =5x
Step-by-step explanation:
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
(5 - 0) = m(1 - 0)
5 = m(1)
5 = m
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
Can somebody plz report and ban CARDAA13 and CARIZASHINE
Answer:
what did they do?
Step-by-step explanation:
Plsssss help me! Brainlist! I’m so confused!
Choose the inequality that represents the following graph
Kelly worked on a straight 8 % commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,700 worth of
merchandise
Step 1 of 2: How much did Kelly earn for this month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
The total amount of money Kelly earned for the month is $1,736
Commission refers to a sum of money paid to a salesperson for every sale that he or she makes. It is usually a percentage of the total sales.Given:
Kelly
Worth of goods sold = $21,700
commission = 8%
Total earned = 8% of $21,700
= 8/100 × 21,700
= 0.08 × 21,700
= $1,736
Approximately, $1,736.00
Therefore, the amount of money Kelly earned for this month is $1,736
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A coin is flipped 10 times. What is the probability of getting exactly 4 tails?
Answer: The probability is approximately 20.51%.
Step-by-step explanation:
Find the value of X that makes lines L and M parallel.
Answer:
x = 11
Step-by-step explanation:
If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.
[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]
lol mine looks different
mary,jose and aldo served a total of 82 orders monday at school cafeteria. mary served 6 more orders than jose. Aldo served 2 times as many orders as mary. how many orders did they each serve?
Answer:
See down
Step-by-step explanation:
Mary served 22 orders, Jose served 16 orders and Aldo served 44 orders:
(Mary) 22 + (Jose) 16 + (Aldo) 44 = 82
solve pls brainliest
Answer:
Mixed Number = 2 9/10
Improper Fraction = 29/10
Step-by-step explanation:
Mixed Number = 29/10 = 2 9/10
Improper Fraction = 29/10
simplify by expressing with radicals n√x^3^n
We can work with the exponents to simplify our expression, and we will get:
[tex]\sqrt[n]{x^{3n}} = x^3[/tex]
How to simplify the expression?Remember that a root of degree n is equivalent to an exponent of 1/n.
This means that we can rewrite a root of degree n as:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then our expression:
[tex]\sqrt[n]{x^{3n}}[/tex]
Can be rewritten as follows.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]
Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.
Now we can take the product of the exponents to get.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]
You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.
That is the expression simplified.
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On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.
Answer:
12 this is da a answer
12 twelve
The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width
Answer:
width is 4 inches
length is 6 inches
Step-by-step explanation:
the length is 6 inches less than three times the width
l = 3w - 6
a = l * w
a = (3w - 6)w
a = 3w^2 - 6w
area of the rectangle is 24 square inches
3w^2 - 6w = 24
subtract 24 from both sides
3w^2 - 6w - 24 = 0
Divide both sides by 3
w^2 - 2w - 8 = 0
Factor
(w - 4)(w + 2) = 0
w = {-2, 4}
disregard the negative root since measurement must be positive
w = 4
l = 3w - 6
l = 3(4) - 6
l = 6
Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:
Answer:
(a) f(x) = -3x +6
Step-by-step explanation:
Solve for y, then write as a function.
3y +9x = 18 . . . . . . given
y +3x = 6 . . . . . . . . divide by 3
y = -3x +6 . . . . . . . subtract 3x
f(x) = -3x +6 . . . . . written using function notation
Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]
2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]
Inequalities definition
Answer:
a inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
hope it helps :)
Answer:
In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities. If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
Tell whether the fractions are equivalent. Write = or
2/3 ______ 4/6
[tex]\dfrac 23 = \dfrac{2 \times 2 }{3 \times 2} = \dfrac 46[/tex]
There are 36 green cups in a store display. The number of green cups is 23 of all the cups in the display.
What is the total number of cups in the display?
Enter your answer in the box.
___cups
Answer:
54
Step-by-step explanation:
The total number of green cups in the display will be equal to 54.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of green cups in display = 36
The number of green cups is 2/3 of all the cups in the display.
Let the total number of green cups in the store be X.
Then, the equation as per the statement will be,
2/3 of X = 36
X = 36 × 3/2
X = 54 cups.
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8m – 5 for m = 9 answer please
Answer:
= 67
Step-by-step explanation:
8m – 5 for m = 9
~Substitute
8(9) - 5
~Simplify
72 - 5
~Subtract
67
Best of Luck!
Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?
Answer:
358 steps
Step-by-step explanation:
(C+X)/X
can be simplified as:
[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]
it's can simplify sorry
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
O f(x) = -3x - 6
O f(x) = -3x - 4
O f(x) = -3x + 16
O f(x) = -3x + 14
Answer:
-3x + 14
Step-by-step explanation:
Expand -3(x-5)
. -3 * x = -3x
. -3 * -5 = 15
So
. y+1 = -3x + 15
Subtract 1 from both sides so that y is the subject
. y = -3x + 14
Now you can juse replace y with f(x) since theyre basically the same thing
There are 13 books on a shelf. 7 of these books are new. The rest of them are used.
Answer:
6 of them are used books
Step-by-step explanation:
6+7=13. 7 new book and add 6 more book that will be used, it will equal out in addition = 13
In the past, Marcie's father rode his bike 108 miles in 7.5 hours. Her mother rode the same distance in 8 hours. Marcie plans to ride her bike 108 miles at a steady rate of 18 mph for y hours. Will she match her father or mothers time? Use the equation 108÷y=18 to justify your answer.
Using the speed - distance relationship, Marcie's time will be 6 hours. Hence, she'll match her parents time.
Recall :
Speed = distance / timeTo obtain Marcie's time :
18 = 108 / yWe can solve for y thus :
y × 18 = 108
y = 108 / 18
y = 6 hours
Since, Marcie's will cover the same distance in 6 hours, the she'll match and surpass her parents time.
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