Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of less than 2 customers arriving as follows:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067[/tex]
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.
Answer:
[tex]Probability = 0.023[/tex]
Step-by-step explanation:
Given
Represent the given probability with P(Gene)
[tex]P(Gene) = 39\%[/tex]
[tex]Children = 4[/tex]
Since all 4 children get the disease, the required probability is calculated as thus:
[tex]Probability = P(Gene)^4[/tex]
[tex]Probability = 39\%^4[/tex]
Convert % to decimal
[tex]Probability = 0.39^4[/tex]
[tex]Probability = 0.02313441[/tex]
[tex]Probability = 0.023[/tex] Approximated
GIVING 30 POINTS
need it RN
Which equation represents a line which is perpendicular to the line
5x + 4y = -24?
Participants in a psychology expirement
were able to memorize an average of M Words in
T minutes, where M is -0.00lt3 and T is 0.1t2 Find the
average
number of words memorized in 10min.
Answer:
11 words
Step-by-step explanation:
The question is poorly formatted.
The right relationship between M and t is given as:
M = −0.001t³ + 0.1t²
Required
Solve for M when t = 10
To do this, substitute 10 for t
So,we have:
M = −0.001t³ + 0.1t²
M = -0.001 * 10³ + 0.1 * 10²
M = -0.001 * 1000 + 0.1 *100
M = 1 + 10
M = 11
11 words in 10 minutes
Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?
Answer:
4
Step-by-step explanation:
First, you need to take the cost of the magazine off the total which Jayda spent
34-6=28
Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.
28÷7=4
Each bag of marshmallows costs 4
0.079times what equals 7.9
Answer:
100
Step-by-step explanation:
(-82)+(-47)-(+33)do u all know this answer
Answer:
-157
Step-by-step explanation:
Answer: -162
Hope this helps you
Step-by-step explanation:
subtract and add
What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.
Answer:
17
Step-by-step explanation:
d = √( (x₂ - x₁)² + (y₂ - y₁)² )
= √( (14 - 6)² + (19 - 4)² )
= √( 8² + 15² )
= √( 64 + 225 )
= [tex]\sqrt{289}[/tex]
= 17
Hi i need help on letters:
L,A,E,R,T,C,I,S,F,G,H,D,N,and O
Im giving 14 points if u answer all of them!!;)
Answer:
Step-by-step explanation:
E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48 N = 20: 40
A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11
(wouldve explained them but im in class :)
a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers
9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
California lowest point of elevation is -86 meters. Louisiana lowest point of elevation is 83.6 meters higher than California low point. What is the lowest point of elevation in Louisiana
Answer:
-2.4 meters
Step-by-step explanation:
-86 + 83.6 = -2.4
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong
in an experiment, the control variable is d and the response variable is e. which variable is not manipulated, but measured, and represents the data being recorded?
What is the difference between –12 and –5?
Answer:
-7
Step-by-step explanation:
(-12)-(-5)
negative and negative make a positive
-12+5
= -7
Answer:
-7
Step-by-step explanation:
The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.
Answer:
1 5 10 10 5 1
Step-by-step explanation:
The complete question has been attached as an image.
Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have
1 4 6 4 1
1 5 10 10 5 1
And that is the required set of numbers.
A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?
Answer:
a. is 2/21 hours to complete one task
b. is 10 1/2 tasks in one hour
Robot takes 2/21 hour to complete the task.
In one hour, robot complete 21/2 task.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to complete 7 tasks = 2/3 hours.
To find the time taken to complete one task and tasks that completed in one hour,
Use ratio method,
7 tasks take = 2/3 hours
1 task takes = 2/(3 x 7) = 2 / 21 hours.
In 2/3 hours = 7 tasks completed,
1 hour = 21/2 tasks.
In one hour, 21/2 tasks can be completed.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ5
Nancy has 192 golf balls.
How many dozen golf balls does she have?
Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:16
192/12 equals 16
the other one is 27
Answer:
the scale factor is 9 and x = 58.5
Step-by-step explanation:
to get the scale factor just do DE/AB so 27/3
3/4of 16/27/23/14+12/18 using bodmas rule
Helpppppp ASAP!!!!!!!
Answer:
x=2
Step-by-step explanation:
A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
6th grade math i mark as brainly
Answer:
A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.
Can you guys help me find the supplements for question 6
Answer:
d
Step-by-step explanation:
i looked it up
Please help with this problem thank you.
-8 + n = 62 What is n?
Answer:
n = 70
Step-by-step explanation:
-8 + n = 62
n = 70
K^2+k=0 what does k=
Answer:
k = K^2
Step-by-step explanation:
Subtract K^2 from both sides of the equation.
what is the slope of the line that passes through (37, -9) and (36, 81)
Answer:
m= -90 is your answer
Step-by-step explanation:
For future reference, you should try using Symbolab, it works really well and I use it ALL the time!
Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16
Answer: -4 x 16, -48
Step-by-step explanation:
word phrase: -4 x 16
symplified = -48
product means multiply
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
options box one:
graph a
Graph B
Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more
Answer:
1) graph b
2)appears to decrease more
Step-by-step explanation:
Do you want to be in your basement bright orange for your birthday party the orange paint shade you like uses three parts red and 5 parts yellow How Many cups would you need for one gallon of paint ( there are 16 cups in one gallon)
You need 6 cups red and 10 cups yellow.
MATCH THE CORRECT ONE PLEASE HELP
Answer:
same side interior for 2 and 6 i think
8(3x-2)-8x=9(2x-6) find x
Answer:
x=19
Step-by-step explanation:
8(3x-2)-8x=9(2x-6) Distribute.
24x-16-8x=18x-54 Combine like terms.
16x-16=18x-54 Subtract 16x from both sides (getting rid of a variable first
-16x -16x is easier).
-16=2x-54 Add 54 to both sides.
+54 +54
38=2x Divide both sides by 2.
/2 /2
19=x
Hope this helps!! Have a great day ^^