Answer:
120 quarts
Step-by-step explanation:
1 gallon=4 quarts
30x4= 120
9.831 rounded to the nearest tenth
Answer:
9.8
Can i get brainliest please?
Answer:
9.8
Step-by-step explanation:
Hoped that helped :)
The normal distribution An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 31 months but within 54 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that x, the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months. Use the following Distributions tool to help you answer the questions that follow. (Hint: When you adjust the parameters of a distribution, you must reposition the vertical line (or lines) for the correct areas to be displayed.)
1. If the manufacturer's assumptions are correct, it would reed to replace _______ of its batteries free.
2. The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of ____ results in a 1.07% replacement rate.
3. Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?
Answer:
1) if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.
2) a standard deviation of 6.0843 results in a 1.07% replacement rate
3) using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit
Step-by-step explanation:
based on the given data;
x will represent the random variable such that the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months
so
x → N( U = 45, ∝ = 5.6)
Under the warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charges to the consumer.
if the battery fails after 31 months but within 54 months, the manufacturer provides a prostrated credit towards the purchase of anew battery
1) If the manufacturer's assumptions are correct,
p(x < 3) = p( [x-u / ∝ ] < [ 31-45 / 5.6] )
= p( z < -2.5 )
using the standard normal table,
value of z = 0.0062 ≈ 0.62%
so if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.
2)
The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect, so a standard deviation of ? results in a 1.07%
so lets say;
p ( x < 31 ) = ( 1.07%) = 0.0107
p ( [x-u / ∝ ] < [ 31-45 / ∝] ) = 0.0107
now from the standard table
-2.301 is 1.07%
so
( 31 - 45 / ∝ ) = -2.301
-14 / ∝ = -2.301
∝ = -14 / - 2.301
∝ = 6.0843
therefore a standard deviation of 6.0843 results in a 1.07% replacement rate
3)
Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?
p( 31 < x < 54 ) = p ( [31 - u / ∝ ] < [ x-u / ∝] < [ 54 - 45 / ∝] )
= p ( [31 - 45 / 6.0843 ] < [ x-u / ∝] < [ 54 - 45 / 6.0843] )
= p ( -2.301 < z < 1.4792 )
= p(Z < 1.5) - p(Z < -2.3)
= 0.9393 - 0.0108
= 0.919 ≈ 91.9%
therefore using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit
Find the slope of the line
Answer:
0
Step-by-step explanation:
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x
Answer:
0.963
Step-by-step explanation:
It’s correct
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
The value of the 7 in 2,751 is how many times the value of the 7 in 7,433?
Answer:
Step-by-step explanation:
The value of 7 in 2,751 is 700 since 7 is in the hundred place in the value
The value of 7 in 7,433 is 7000, since 7 is in the thousand place in the value.
In order to know how many times the 7 in 2,751 is more than 7 in 7,433, we will take the ratio of 700 to 7000 as shown:
ratio = 700:7000
ratio = 700/7000
ratio = 0.1
Hence the value of the 7 in 2,751 is 0.1 times the value of the 7 in 7433
Answer:
I believe it’s 1/10 but I’m not to sure
Step-by-step explanation:
3.Each day you exercise you either walk 5 miles or jog 2 miles. You exercised 19 days last month and the total distance you travelled was 74 miles. How many days did you walk?
Answer:
You walk 12 days
Step-by-step explanation:
Let's call:
W=Number of days you walk
J=Number of days you jog
Since you only do one of the exercises per day:
W + J = 19
Solving for J:
J = 19 - W
Every day you walk, you travel 5 miles, and every day you jog, you travel 2 miles, thus:
5W + 2J = 74
Replacing the expression for J:
5W + 2(19 - W) = 74
Operating:
5W + 38 - 2W = 74
Simplifying:
3W = 74 - 38 = 36
Solving:
W = 36 / 3 = 12
You walk 12 days
A farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend.
Which expression uses the distributive property to show equivalent expressions for this situation?
54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
54 + 42 = 6(9 + 7)
Answer:
54 + 42 = 6(9 + 7)
Step-by-step explanation:
Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.
Answer:
its the last one
Step-by-step explanation:
Sophia earned $18 for working 2 1/4 hours. How much did she earn per hour?
Answer:
It is price between 1~100 lol
Step-by-step explanation:
A circle is inscribed in a square. If the perimeter of the square is 40, what is the area of the circle? Use 3.14 for pi.
Answer:
78.5
Step-by-step explanation:
We have the perimeter of the square, which is 40, and 40/4=10. In this picture, we see that the circle's diameter is the same as the length of one side of the square. Therefore, the diameter of the circle is 10. The are formula for circles is [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius. The radius of the circle is just the diameter divided by 2, and 10/2=5. Now, [tex]5^2[/tex] is 25, and [tex]3.14\cdot25=78.5[/tex].
What’s 6r+3=4r-11?????
Answer:
-7
Step-by-step explanation:
6r+3=4r-11
distributive property
6r-4r=-11-3
2r=-14
r=-7
1
bushels
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 16
each day. Represent the total change in the number of bushels he has for sale after 5 days.
The total change in the number of bushels he has for sale is I.
(Type an integer, proper fraction, or mixed number.)
Answer: 60
Step-by-step explanation:
If he sells 16 each day after 5 days he would sell 80 leaving him with 60 bushels of wheat
A marathon runner travels 9/2 miles in 1/2 hour what is the unit rate
Answer:
9/2:1/2
Step-by-step explanation:Here's the answer
Please help!!!!! Assume the blue lines are parallel. Based on the diagram, select all angles that are congruent to angle 3.
Answer:
Angle 7
Step-by-step explanation:
It is on the same side down from 3 so it would be congruent because they are lined up.
ANSWER ASAP PLEASE!!!!!
Amir draws two parallel lines cut by a transversal.
What is the value of y?
Answer: y = 45
Step-by-step explanation:
the two angles will be supplementary to each other
4y - 45 + y = 180
Combine like terms
5y - 45 = 180
Add 45 to both sides
5y = 225
Divide both sides by 5
y = 45
6. (02.01 MC)
The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from
patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the
Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to
the truth about the entire population? Explain. (6 points) (10 points)
Answer:
A)i) Population: Total number of people that reside in Florida..
II) Sample: 62348 people that took part in the random survey.
B) No, the estimates are not close to the truth of the entire population.
Step-by-step explanation:
A)i) The population is the total number of people that reside in Florida.
II) The sample is the 62348 people that took part in the random survey.
B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.
Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours. . Let x = the time needed to fix a furnace.
Required:
a. What is the probability that it takes the repairman more than 7 hours to fix a furnace?
b. Find the probability that a randomly selected furnace repair requires less than 3 hours.
c. Find the 30th percentile of furnace repair times.
d. The longest 25% of repair furnace repairs take at least how long? (In other words: Find the minimum time for the longest 25% of repair times.) What percentile does this represent?
e. Find the mean and standard deviation
Answer:
a
[tex]P(X > 7) = 0.5[/tex]
b
[tex]P(X < 3) = -0.5[/tex]
c
[tex]x = 6.2 \ hours[/tex]
d
[tex]x_1 = 8 \ hours[/tex]
e
Mean [tex]\mu = 7[/tex]
Standard deviation [tex]s \approx 1.1547[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours
Generally the probability that it takes the repairman more than 7 hours to fix a furnace is mathematically represented as
[tex]P(X > 7) = \frac{9- 7}{9-5}[/tex]
=>[tex]P(X > 7) = 0.5[/tex]
Generally the probability that a randomly selected furnace repair requires less than 3 hours. is mathematically represented as
[tex]P(X < 3) = \frac{3 -5}{9-5}[/tex]
=>[tex]P(X < 3) = -0.5[/tex]
Generally the 30th percentile of furnace repair times is mathematically represented as
[tex]30^{th} \ percentile = \frac{x - 5}{9-5}[/tex]
=> [tex]0.3 = \frac{x - 5}{9-5}[/tex]
=> [tex]x = 6.2 \ hours[/tex]
Generally the time taken for the longest 25% of furnace repair is mathematically evaluated as
[tex]75^{th} \ percentile = \frac{x_1 - 5}{9-5}[/tex]
Here making use of the [tex]75^{th}[/tex] because we are considering duration that fall with the top [tex]25^{th}[/tex]
=> [tex]0.75 = \frac{x_1 - 5}{9-5}[/tex]
=> [tex]x_1 = 8 \ hours[/tex]
Generally the mean is mathematically represented as
[tex]\mu = \frac{5 + 9 }{2}[/tex]
=> [tex]\mu = 7[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(9- 5)^2}{12} }[/tex]
=> [tex]s \approx 1.1547[/tex]
Need help can you help me
Answer:
Class width
Step-by-step explanation:
Class width is the difference between two consecutive lower limits (or two consecutive lower class boundaries) in a frequency distribution.
78 feet wide and 27 feet long what is the perimeter?
Answer:
105
Step-by-step explanation:
When finding the perimeter add them together
Use inductive reasoning to predict the next three numbers in the pattern.
Home
3, 5, 8, 13, 21, 34, ...
nents
Predict the next three numbers in the pattern.
3, 5, 8, 13, 21, 34,
Answer:
The next three terms are 55,89 and 144
Step-by-step explanation:
We want to predict the next three numbers in the pattern
3, 5, 8 , 13 , 21 , 34
The difference between two successive terms is written between them.
Thus, we have
3 2 5 3 8 5 13 8 21 13 34
So the rule here is to add the next term to the previous so as to get the next coming term
Thus, we have;
34 + 21 = 55
55 + 34 = 89
89 + 55 = 144
Your favorite dog groomer charges according to your dog's weight. If your dog is 15 pounds and under, the groomer
charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40,
plus an additional $2 for each pound.
a. Write a piecewise function that describes what your dog groomer charges.
b. Graph the function.
Answer:
hope the pics below helps!!
Plz mark brainliest :DD
The groomer charges is an illustration of a piece-wise function, where different functions are used to handle different inputs.
The piece-wise function is:
[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]
Let:
[tex]x \to[/tex] weight of dog
[tex]y \to[/tex] charges
Dogs that weigh 15 pounds or under
This means that: [tex]x \le 15[/tex]
And the charges is [tex]y = 35[/tex]
Dogs that weigh between 15 and 40 pounds
This means that: [tex]15 < x \le 40[/tex]
And the charges is [tex]y = 40[/tex]
Dogs that weigh over 40 pounds
This means that: [tex]x > 40[/tex]
And the charges is [tex]y = 40 + (x - 40) \times 2[/tex]
Simplify
[tex]y = 40 + 2x - 80[/tex]
Collect like terms
[tex]y = 2x +40- 80[/tex]
[tex]y = 2x - 40[/tex]
So, the piece-wise function is:
[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]
See attachment for the graph of the piece-wise function
Read more about piece-wise functions at:
https://brainly.com/question/19338550
What is 3/100 - 1/50 equal?
Answer:
0.01?
Step-by-step explanation:
Round 9.96 to the nearest tenth
Answer:
10
I hope this helps!
How much will cost to buy beef for a family of 2 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?
Answer:
it will cost 5.99
Step-by-step explanation:
because each person getting half and there are 2 peeps so add up the meet to make on pound
Write an equation of the line below.
What is the length of LA?
The length of LA in the triangle will be 8.
How to calculate the triangle?From the information given, it was stated that both the triangles are similar.
In this situation, the length of LA will be:
= (12 × 4)/6
= 48/6
= 8
Therefore, the length of LA in the triangle will be 8.
Learn more about triangles on:
brainly.com/question/17335144
#SPJ6
Rename 2 1/2 as an improper fraction
Answer:
5/2
Step-by-step explanation:
Because that is the answer
Answer:
5/2
Step-by-step explanation:
Because it is an improper fraction so you move it to the top.
Pls Brainliest! ;) It would mean a lot!
Jackie earns $172 per week at her part time job. She is saving this money to buy a used car that cost $2000. At this rate, how many weeks will it take her to earn enough money to buy the car..? Explain.
Answer:
12 weeks
Step-by-step explanation:
It will take Jackie 12 weeks to buy her car because she earns 172 per week.
If you divide 2000 buy 172 you end up with 11.6
if you multiply 11 and 172 you get 1,892 which is just a little under 2000
if you add another week = 172$ you will arrive at 2064 which is enough to buy
her car.
Hope this helps.
Which of the following fractions has the same value as the decimal number 0.65?
Answer:
13/20
Step-by-step explanation: