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
3.
Long's Coffee Shop sells a refill mug for $8.95 Each refill costs $1.50 last month lanice spent $26.95 on
a mug and refills. How many refills did she buy?
Answer:
12
Step-by-step explanation:
So since the total was 26.95 subtract the base cost of the mug which is 8.95
26.95-8.95=18.00
Then since each refill is 1.50 divide by 1.50
18/1.50=12
Lanice bought 12 refills last month
Please help me!
You have the opportunity to lease space for your business. The property owner has proposed a four year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years? A.)$13,200 B.)$22,000 C.)$31,390 D.)$32,440
Answer:
C.)$31,390
Step-by-step explanation:
You can use the formula to calculate the future value to find the answer:
FV=PV*(1+i)^n
FV= future value
PV= present value= 29,000
i= interest rate=2%
n= number of periods of time= 4
Now, you can replace the values in the formula:
FV=29,000*(1+0.02)^4
FV=29,000*(1.02)^4
FV=31,390
According to this, the answer is that the annual rent would be $31,390 at the end of four years.
Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.
Answer:
Step-by-step explanation:
CACA POOP
Answer:
464
Step-by-step explanation:
hwe
Use the expression 3-7p^2+11(4+n)3−7p 2 +11(4+n)3, minus, 7, p, squared, plus, 11, left parenthesis, 4, plus, n, right parenthesis to find an example of each kind of expression.
Answer:
2 - 4x² + 15(3 + y)
Step-by-step explanation:
Given.
3 -7p²+11(4+n)
Required
Write similar expression:
The given expression can be split into:
3, -7p² and 11(4 + n)
3 can be replaced with 2 or any number (but let's stick with 2).
-7p² can be replaced with -4x²
Lastly,
11(4 + n) can be replaced with 15(3 + y)
Bringing them together, we have:
2 - 4x² + 15(3 + y)
So, an expression similar to 3 - 7p² + 11(4 + n) is 2 - 4x² + 15(3 + y)
Please note that, there are other similar expressions
Answer:
difference: 3-7p^2
Factor: ( 4+n )
product: 11( 4+n )
Step-by-step explanation:
help with math pls pls
Answer:
62 degrees
Step-by-step explanation:
If 167 degrees is the whole angle measurement, then you take 167-105.
Which compound inequality describes the solutions graphed below?
Answer:
A. x ≤ -2 or x > 3
Step-by-step explanation:
The number line shows two possible values of x which represents a compound inequality.
There are two arrows in opposite direction on the number line.
The arrow that starts at -2 and goes to your far left, has a shaded small circle "o". This connotes that -2 is included in the possible values of x. Thus, this means the possible value of x is equal to -2 or less than -2 ==> x ≤ -2.
The other arrow starts at 3 and has an unshaded small "o", implying that 3 is not included in the possible values of x. Thus, x > 3.
The compound inequality in the graph indicates either statement is true, since each solution do not overlap, hence, the word to use here would be "OR", showing a union.
Therefore, the solution of the compound inequality would be x ≤ -2 or x > 3.
Solve the inequality and graph the solution. 1/2x < 6
Answer:x<12
Step-by-step explanation:
2/1 x 1/2x<6/1 x 2/1
X<12
Mid point of 11.29 and 11.30
Answer:
11.295
11.29 and 11.30 are already two digit decimals, we can not get another 2 digit decimal. We have to make a 3 digit decimal.
11.295 falls between 11.29 and 11.30.
Hope this helps you!
Answer:
11.295
Step-by-step explanation:
cmon now. That was pretty easy lol
6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?
Answer:
I haven't seen this question before, but the correct way to write it is 78+78+78=234
How much smaller is x−3 than x+4?
Answer:
Try 1
Step-by-step explanation:
The difference between 3 and 4 is one.
Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?
Answer:
$62.50 because
Step-by-step explanation:
250÷4=62r2
62.50•4=250
Ms. Beg withdraw $62.5 from her account to pay for her services.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.
to with
So, to withdraw from the account to pay for services each month
= 250/4
= 125/2
= 62.5
Hence, she withdraw $62.5 from her account to pay for her services.
Learn more about unitary Method here:
https://brainly.com/question/22056199
#SPJ5
guys I need followers
Answer:
Followers You need
Answer:
ok
Step-by-step explanation:
2 1.3.3 Quiz: Random Sampling
Question 1 of 10
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks'
random samples:
• Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Which sample is likely to have the least variability?
A. The Network A sample
OB. The Network B sample
OC. The Network C sample
Answer:
A. The Network A sample
Step-by-step explanation:
The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.
In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.
Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Answer:
A.
Step-by-step explanation:
Just took the test
PLEASE HELP Please i don’t understand
Answer:
answer is 5
Step-by-step explanation:
f(5)= -5×5^2+26×5
= -125+130
= 5
please help i’ll give the brain
Answer:
a. it depends if you're rounding it.
Step-by-step explanation:
45 pounds is 20.4117 kilograms.
Answer: C, 50.
Step-by-step explanation:
So there are talking about ¨much¨ you have to multiply/simplify the same number.
Which equals to 50 kilograms.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?
To find the length of Bentley’s long run, you would use:
5 – 2.25
Question 1 options:
True
False
Answer:
True
Step-by-step explanation:
If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.
show work for each abcd
Given f(x)=18x +8, find x when f(x) =14
Answer:
x=1/2 or x=0.5
Step-by-step explanation:
14=18x+8 so 18x =6 so x=1/2
Answer:
x = 1/3
Step-by-step explanation:
14 = 18x + 8
Subtract 8 from both sides.
6 = 18x
Divide both sides by 18.
6/18 = x
Simplify.
1/3 = x
f(x) = 2( x ) + 10, Solve when given f(x) = -22 sorry it’s just I didn’t get function notation
Answer:
x=-16
Step-by-step explanation:
[tex]2x + 10 = - 22[/tex]
[tex]2x = - 22 - 10 = - 32[/tex]
[tex]x = - 32 \div 2 = - 16[/tex]
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.
Answer:
90
Step-by-step explanation:
4x/5 = 2x+4/3 Please hurry I’m in a rush
Answer:
x=10
Step-by-step explanation:
Answer:
x = - 5/3
Step-by-step explanation:
Calculate the product
4x/5 = 2x + 4/2
Reduce the faction with 2
4x/5 = 2x + 2
Multiply both sides of the equation by 5
4x = 10x + 10
Move variable to the left-hand side and change its sign
4x - 10x = 10
Collect like terms
-6x = 10
Divide both sides of the equation by -6
x = - 5/3
Solution
x = -5/3
Alternate form
x = -1 2/3, x = -1.6
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?
Option:
a. for every 13 dogs, there are 25 cats.
b. there are twice as many cats as dogs at the shelter.
c. the shelter has more dogs than cats.
d. there are 25 animals in the shelter.
Answer:
a. for every 13 dogs, there are 25 cats.
Step-by-step explanation:
Represent Dogs with D and Cats with C;
So;
[tex]\frac{D}{C} = \frac{13}{25}[/tex]
By comparison:
[tex]D=13[/tex]
[tex]C = 25[/tex]
This implies that:
For every 13 D, there are 25 C
Hence: Option A is true
A writer gets paid a writer's fee of $3000 plus
$1.50 for each copy of the book that is sold. Create
a function rule for this situation.
Answer:
y = 1.50x + 3000
Step-by-step explanation:
16. The Venn diagram below represents two sets of numbers.
?
Integers
Which of the following would be the best label for the set represented by the
shaded circle?
Any rational number is in the form p/q, where p,q are integers and q is nonzero.
If we made q = 1, then p/q turns into an integer which is why the set of integers is inside the set of rational numbers.
For instance, if p = 7 and q = 1, then p/q = 7/1 = 7 is an integer and it is rational too.
What is the slope of the line that passes through the points (4,2) and (-16, -10)?
Write your answer in simplest form.
Answer:
3/5
Step-by-step explanation:
Answer:
Yup the answer is 3/5 :))
Step-by-step explanation:
9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
Answer:
0.5818
Step-by-step explanation:
Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.
Answer:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
Given that:
[tex]\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67[/tex]
Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818
Flaws occur at random along the length of a thin copper wire. The number of flaws per mm follows a Poisson Distribution with a mean of 2.3 flaws per mm. Determine the probability of exactly 2 flaws in 1 mm of wire.
Answer:
0.265
Step-by-step explanation:
Given that :
Number of flaws per mm follows a poisson distribution:
Mean flaws per mm (x) = 2.3
Probability of exactly two flaws in 1 mm of wire
P(X = 2) = (x² * e^-x) / x!
P(x = 2) = (2.3² * e^-2.3) / 2!
P(x = 2) = (5.29 * 0.1002588) / 2
P(x = 2) = 0.265
Hi can you help me in this? Ann works in a supermarket for 10.00 pero hour She recieved a raise yo 12.00 what is the percent of chance in her hourlt wage?
Answer:
20%Step-by-step explanation:
GivenInitial wage = 10 peso/hourNew wage = 12 peso/hourSolutionThe difference
12 - 10 = 2 peso/hourPercent of change
2/10*100% = 20%
Which equation would help determine the cost of 4 erases?
Choose 1 answer
Answer:
explain in details pls
please help I will give a lot of points
btw its 2 questions
Answer:
please wait two mins I will give you the answer, but which question 2 or 3
