what is the distance between -45 and -98 on a number line
Answer:
53
Step-by-step explanation:
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds. (Round your answers to three decimal places.) (a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval. (b) Find the probability that a customer waits more than 3 seconds. (c) What is the minimum approval time for the slowest 5% of transactions
Answer:
a) 0.426 = 42.6% probability that a customer waits less than a second for credit card approval.
b) 0.189 = 18.9% probability that a customer waits more than 3 seconds.
c) The minimum approval time for the slowest 5% of transactions is 5.39 seconds.
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]
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds.
This means that [tex]m = 1.8, \mu = \frac{1}{1.8} = 0.5555[/tex]
(a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval.
This is [tex]P(X \leq 1)[/tex].
[tex]P(X \leq 1) = 1 - e^{-0.5555*1} = 0.426[/tex]
0.426 = 42.6% probability that a customer waits less than a second for credit card approval.
(b) Find the probability that a customer waits more than 3 seconds.
This is P(X > 3).
[tex]P(X > x) = 1 - P(X \leq 3) = 1 - (1 - e^{-0.5555*3}) = 0.189[/tex]
0.189 = 18.9% probability that a customer waits more than 3 seconds.
(c) What is the minimum approval time for the slowest 5% of transactions
This is x for which [tex]P(X \leq x) = 0.95[/tex]
So
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
[tex]0.95 = 1 - e^{-0.5555x}[/tex]
[tex]e^{-0.5555x} = 0.05[/tex]
[tex]\ln{e^{-0.5555x}} = \ln{0.05}[/tex]
[tex]-0.5555x = \ln{0.05}[/tex]
[tex]x = -\frac{\ln{0.05}}{0.5555}[/tex]
[tex]x = 5.39[/tex]
The minimum approval time for the slowest 5% of transactions is 5.39 seconds.
Isaiah receives $10 per week for his allowance. let m be the total amount
of money Isaiah gets and let w be the number of weeks he receives his
allowance. Which variable is the dependent variable?
A: W; number of weeks
B: M; total amount of money
B: M; total amount of money
Step-by-step explanation:
because the time is a independent variable
Answer:
b id the answer
Step-by-step explanation:
becasue i just finished my test
Divide. 21,382.62 ÷ 10,000
Answer:
the answer is 2.138262
Step-by-step explanation:
hope this helps
1. What does this quote mean to you?
2. How can you apply it to your life?
"You exist only in what you do." ~ Federico Fellini
***Must answer with a pharagraph, minimum 5 sentences, just give me your opinion.
Answer:
My opinion is that you can exist any many things as you navigate through life. This quote is very wrong because you can exist in doing things for other people and not just yourself! You can not be selfish your entire life! I think that you should be for other people! I think that doing stuff for yourself is okay to a certain extent!
Step-by-step explanation:
THIS IS SOOO WRONG( idk tho)
This quote is telling us that you can't exist unless you are doing something worth being remembered for. Through out our lives we all listen to what the world tells us, but not many of us actually do what we want to. We live our lives for someone else, but I plan to change that. Instead of letting the public decide how I should live my life I will live for me. I will work harder in school, become smarter than my parents and grow as a person. I want to be remembered for stepping out of my comfort zone and being different. This is the year that I exist, and show people that I exist for a purpose.
Step-by-step explanation:
Went really deep with this one.
David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired
The probability that Rahul succeeds at any given free-throw is 70%, percent. He was curious how many free-throws he can expect to succeed in a sample of 15 free-throws.
He simulated 30 samples of 15 free-throws where each free-throw had a 0.7, probability of being successful.
Rahul counted how many free-throws were successful in each simulated sample. Here are his results:
(picture attached)
Use his results to estimate the probability that he succeeds at 11 or fewer free-throws in a sample of 15 free-throws. Give your answer as either a fraction or a decimal.
P(11 or fewer sucessess) =
Answer:
0.2
Step-by-step explanation:
i took the test on khan academy :D
The probability of the number of times from the result that he got 11 or fewer free throws is; P(11 or fewer sucessess) = 0.2
How to find probability of success?
We are told that he simulated 30 samples. From the dot plot, we can see how many times he got 10 free throws, 11 free throws, 12 free throws, 13 free throws, 14 free throws, 15 free throws.
Now, from the dot plot, the number of times that he had 11 or fewer free throw successes is 6 times.
Thus;
P(11 or fewer sucessess) = 6/30
P(11 or fewer sucessess) = 1/5
P(11 or fewer sucessess) = 0.2
Read more about Probability at; https://brainly.com/question/25870256
If p represents “a number is divisible by 2,” q represents “a number is odd,” and r represents “a number is even,” what does this statement imply?
WILL MARK BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
idk y but still ur teacher can't do anything
What is the reason called when you switch sides of an equation?
Answer:
Possibly Symmetric Property?
Step-by-step explanation:
Answer:
PSP maybe?
Step-by-step explanation:
A piece of equipment costs $50,000 new, but depreciates 15% per year in each succeeding year.
Find its value after 10 years.
Answer:
-$25,000
Step-by-step explanation:
15% of $50,000 is $7,500 Therefore..
10 x $7,500 = $75,000 ( 10 being the amount of years and 7500 being the 15% )
$50,000 - $75,000 = -$25,000
Hope this helps!!
-Conrad
Please answer this correctly
Answer:
x =1
Step-by-step explanation:
Assuming the figures are similar, we can use ratios to solve
x 2
---- = -----
4 8
Using cross products
8x = 2*4
8x = 8
Divide by 8
8x/8 = 8/8
x=1
PLEASE HELP!!!!
Which choices are equivalent to the expression below? Check all that apply.
5^2 • 5^9
Answer:
D & E
The ones you chose are correct.
A company that manufactures toy trains is making a new box car. To fit on the track, the smallest dimensions of the toy box car must be 2 inches. What should the length and the height of the toy if the company wants the toy box car to be geometrically similar to an actual box car with the dimensions shown?
PLEASE HELP!!!
Answer: figures not drawn to scale a. length = 12 inches, height = 3 inches b. length = 14 inches, height = 3 inches c. length = 21 inches, height = 5 inches d. length = 37 inches, height = 5 inches reset next previous 1 next similar solids: mastery test submit test tools info all rights reserved.
Step-by-step explanation:
how to find the scale factor of triangles
Answer:
you pick similar sides from both the triangles and try and divide or find common multiples. for ex if the sides are 3 and 9, you can find that the scale factor is 3 since 9/3 is 3
Step-by-step explanation:
If a is 3 and c is 12, then 4ac equals
Answer:
144
Step-by-step explanation:
4ac=
4(3)(12)=
144
Hope this helps!
Carol is a pet groomer whose yearly gross pay is $45,000. Her exemptions total $4,000 and the state tax rate is 3.5%. How much does she pay in state taxes each month?
Answer:
$119.58
Step-by-step explanation:
We expect Carol's annual tax bill to be the difference of her pay and exemption, multiplied by the tax rate:
annual tax = ($45,000 -4,000) × 0.035 = $1,435
Then her monthly tax bill will be 1/12 of this:
monthly state tax = $1435/12 = $119.58
Carol pays $119.58 in state taxes each month.
Math problem please help
Answer:
volume = 64 in³area = 96 in²Step-by-step explanation:
Put the given number into the formulas and do the arithmetic:
Volume = s³ = (4 in)³ = 64 in³
Area = 6s² = 6(4 in)² = 96 in²
Find two consecutive odd integers such that the sum of their squares is 202.
Answer:
9 and 11
Step-by-step explanation:
The squareroot of 202 is 14... so the numbers are both less than 14.
9*9= 81
11*11= 121
121+81= 202
Answer:
9 and 11
Step-by-step explanation:
(9^2) + (11^2) Simplify the exponents
81 + 121 = 202
Please Help.... 50 points.
Answer:
94
Step-by-step explanation:
Answer:
94 is the answer
Step-by-step explanation:
In an insect colony, there are 270 insects after 7 days. If there were initially 80 insects, how long will it take the population to grow to 700 insects?
Step-by-step explanation:
Total insects = 270
Days = 7
If 80 insects to 700 insects
Days = 700 ÷ 80 = 8.75
It will take 8.75 days
Stephen and Shane are twins. They came up with a math puzzle . Stéphen says he is (5x + 4) years old, and Shane says he is (10x - 3) years old. What is the value of ? What are their ages?
Kim plays a card game with the children. She gives Gareth a card.
Gareth has to guess whether his card is higher or lower than 5 Kim tells him
• there are 10 cards higher than 5
• there are 4 cards lower than 5
Gareth thinks he should guess higher than 5
b) Is Gareth correct?
Explain why you think this.
Answer:
Yes
Step-by-step explanation:
There are total 10+4 = 14 cards
P(higher than 5) = 10/14 = 5/7
P(lower than 5) = 4/14 = 2/7
There's a higher chance of the card being greater than 5
Step-by-step explanation:
Step 1: Determine if Gareth is correct
Total number of cards → 10 + 4 → 14
Probability of choosing lower → 4/14 → 2/7
Probability of choosing higher → 10/14 → 5/7
Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.
Answer: Yes
A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey?
A. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.
B. If the sample size was larger, the margin of error would be larger as well.
C. Exactly 30% of all Chinese adults smoke.
D. We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Answer:
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Step-by-step explanation:
x% confidence interval between a and b.
Interpretation: We are x% sure that the true value is between a and b.
In this question:
95% confidence level
30% with a margin of error of 2.2%.
So
30 - 2.2 = 27.8%
30 + 2.2 = 32.2%
So the correct answer is:
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Which of the following is used to name a segment that has an endpoint at point A and another endpoint at point B?
You would write AB with a horizontal line segment over the letters A and B
So you would write this [tex]\overline{AB}[/tex]
If you cannot draw that on your computer, then I would stick to saying "segment AB".
line segment is used to name a segment that has an endpoint at point A and another endpoint at point B
What is a line segment ?
A line segment is a part of line that is bounded by two distinct end points , and contains every point on the line that is in between its endpoint .
since , in question it is given that their are two end points A and B then, it will form a line segment named AB
the answer is line segment
learn more about line segment :
https://brainly.com/question/25727583?referrer=searchResults
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The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
area: about in 2
Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
Identify the design of the following study. A researcher classifies students according to three parental income groups and also according to three possible score ranges on the SAT examination. He randomly selects two students from each of the nine (Income, SAT) combinations. The researcher records the grade point averages (GPA) of those sample members at the end of the sophomore year.
a. Randomized block design
b. Two-Factor ANOVA with replication
c. One-way ANOVA
Answer:
140000000
Step-by-step explanation:
Identify the type of regression that returns the equation y = x^2 + 7x - 15.
A. linear
B. quadratic
C. exponential
D. power
Answer:
B. quadratic
Step-by-step explanation:
The equation y=x^2+7x-15 is a quadratic equation. It might be the result of a quadratic regression.
_____
The descriptors "linear," "quadratic," "exponential," and "power" describe the sort of equation that is used to try to match the data. Quadratic regression returns a quadratic equation.
Find the equation for the line that passes through the point
(−5,0)
, and that is parallel to the line with the equation
y=−
3
4
x−
21
4
y=−34x−214
.
Answer:
y = -3/4x -15/4
Step-by-step explanation:
We assume you mean the given line to be ...
y = -3/4x -21/4
The slope of this line is -3/4. The parallel line will have the same slope.
__
In point-slope form the equation of the line you seek is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)
y = -3/4x -15/4
Nick's science class is observing the growth rate of a tomato plant. The tomato plant grows 3 cm every week for 12 weeks. What is the total growth of the tomato plant during these 12 weeks?
Answer:
36 cm
Step-by-step explanation:
Because the plant is growing the same amount each week you would take 12(3) and get 36 cm at the end of the 12 weeks.
A debate team consists of five girls and four boys. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the girls are standing next to each other?
Answer:
9!-2880 = 360000.
Step-by-step explanation: