Answer:
.2
Step-by-step explanation:
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
Will choose brainlies plsss help
Answer:
Its c enjoy
Step-by-step explanation:
What is the surface area in square centimeters of the figure shown below?
11 cm
6 cm
4 cm
Answer:
268 cm²
Step-by-step explanation:
Surface area = (front + back + left side + right side + top + bottom) areas
since pairs of areas are the same (front back, left rigth, top bottom)
Surface area = (2 · front + 2 · left side + 2· top) areas
= 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6
= 268 cm²
PLEASE PLEASE PLEASE! WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! Really wanna get this over with only 1 more question after this
Required volume=352π or 1105.84in³
Answer:
solution given.:
radius of outer rim[R]=5in
radius of inner rim[r]=3in
height[h]=22in
we have
volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)
=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³
What is g(x)?
A. g(x) = -x2
B. g(x) = -2
C. g(x) = -|x|
D. g(x) = -x
Answer:
C.
g(x) = -|x|
Step-by-step explanation:
Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)(-∞,∞)
help me and I’ll give you brainliest
Answer:
50m
Step-by-step explanation:
The triangles are similar, so their sides are in ratio:
BC/BE=AD/ED
j/46=25/23
j=(25/23)(46)=50
In your own words, state what you know about piecewise-defined function. Use complete sentences.
Answer:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same.
Answer:
d. Aaron could have chosen any company because the premiums are all the same.
Step-by-step explanation:
Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.
Answer:
A
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
1,908.5
Step-by-step explanation:
Add 1900 + 1917 and divide by two
1900+ 1917 = 3817
3817 divided by 2 = 1908.5
Find the interquartile range of the data. 4,6,4,2,9,1,12,7
Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
What is the position of the term 301 in the sequence defined by 3n + 1
Answer:
n=100
Step-by-step explanation:
3n+1=301
3n=300
n=100
Any help? I need to describe the change of the equation, in terms of it getting thinner (>) or wider (<). I don't exactly understand how to do this, can anyone explain?
9514 1404 393
Answer:
no change to the width of the curve
Step-by-step explanation:
Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.
The equation represents a transformation of the parent function
y = x²
The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.
Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."
The curve does get wider for larger y-values. It is said to "open upward".
__
Additional comment
The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."
Maria noticed that a fork in the road created 3 angles. If two angles are as shown, what is the measure of angle x?
А
135°
00
140°
с
145°
D
150°
The measure of angle x will be 145° so option (C) will be correct.
What is an angle?
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle all around the line is 360°.
The angle 165°, 50°, and x consist total of 360°.
165 + 50 + x = 360
x = 145°.
So the angle of x will be 145°.
For more about the angle
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While traveling to his grandmother's house for Christmas, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire journey did he sleep?
he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.
George was asleep for 33.3% of the journey.
When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.
When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:
1/2 of the journey = 1/2x + x
1/2 = 1.5x
x = 1/2 ÷ 1.5
x = 33.3%
George therefore fell asleep for 33% of the journey.
Find out more at https://brainly.com/question/14523771.
Over the past ten years, the population in a small city decreased by 12%, resulting in a current population of 105,000 people. What was the approximate population of the city ten years ago?
Answer:
119400
Step-by-step explanation:
The approximate population of the city was 119400
Alice makes 32 of her 40 free throws during practice. Which teammate has a higher probability of making a free throw during practice?
Answer:
Step-by-step explanation:
B dawn made 45 out of 50 free throws
SOMEONE HELP PLEASE! i’m stuck!! HELP IF YOU WANT THE BRAINIEST!!
Tameka wants to build a circular go-cart track in her backyard.
a. If she wants the track to have a circumference of 150 feet, what does the radius of the track need to be?
b. If she wants the track to have a circumference of 200 feet, what does the radius of the track need to be?
c. If she wants the track to have a circumference of 400 feet, what does the diameter of the track need to be?
Y=7x+2 what is the slope
Answer:
The slope is 7
Step-by-step explanation:
The equation is in y=mx+b form
m=the slope
b=y-intercept
WILL GIVE BRAINLYIST
what is 2+2x4(6+5)-7
Answer:
83
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Hail Hydra
The National Center for Health Statistics reported that of every 1,008 deaths in recent years, 34 resulted from an automobile accident, 202 from cancer, and 358 from heart disease. What is the probability that a particular death is due to an automobile accident
Answer:
0.0337 = 3.37% probability that a particular death is due to an automobile accident
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a particular death is due to an automobile accident?
Total of 1008 deaths.
34 resulted from an automobile accident. So
[tex]p = \frac{34}{1008} = 0.0337[/tex]
0.0337 = 3.37% probability that a particular death is due to an automobile accident
What is the volume of a cube with a side length of 2/5 cm?
What is the volume of a cube with a side length of 2/5 cm? 0.4 cm
Answer:
8/125 cm³
Step-by-step explanation:
(2/5)³=2³/5³
= 8/125 cm³ or 0.064
Which graph COULD represent the table of values?
A)a
B)b
C)c
D)d
Answer:
Option 2 or B
Step-by-step explanation:
B, if you look at the data table, you can notice that x and y are decreasing (therefore going down). I hope this helps?
if a 4.0 cm X 5.5 cm photo is enlarged so that is length is 8.5 what s the new width?
Answer:
6
Step-by-step explanation:
Use the partial quotients algorithm to find the value of 966 +23
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%I need helpppppppp :(
Answer:
The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16
Step-by-step explanation:
Find an ordered pair (x,y,) that is a solution to the equation.
3x - 7 = 4
Answer: x=11/3
Step-by-step explanation:
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
A:9
B:15
C:51
D:134
Answer:
51
Step-by-step explanation:
34/200=.17
.17×300= 51
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
$230.04
Step-by-step explanation:
216 * 0.065= 230.04
PLEASE HELP I NEED THIS TO GET MY GRADE UP
Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]