Answer:
(a) 5.48%
(b) 17.82 years
(c) 21.19%
(d) 15.21 years
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
µ=12 years and σ=2.5 years.
(a) What percent of the radios will function for more than 16 years?
For x = 16
z = 16 - 12/2.5
z = 1.6
Probability value from Z-Table:
P(x<16) = 0.9452
P(x>16) = 1 - P(x<16)
1 - 0.9452
= 0.054799
Converting to percentage = 0.054799 × 100
= 5.4799%
Approximately = 5.48%
(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.
find the z score of the 99th percentile = 2.326
Hence:z = (x-μ)/σ
2.326 = x - 12/2.5
Cross Multiply
2.326 × 2.5 = x - 12
5.815 = x - 12
x = 12 + 5.815
x = 17.815
Approximately = 17.82 years
(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?
When x < 10
Hence,
z = 10 - 12/2.5
z = -0.8
Probability value from Z-Table:
P(x<10) = 0.21186
Converting to percentage
0.21186 × 100
= 21.186%
Approximately = 21.19%
(d) If 10% of the radios will function for more than X years, find X.
The z score would be : 100 - 10%
= 90th percentile z score
We find the z score of the 90th percentile = 1.282
Hence:z = (x-μ)/σ
1.282 = x - 12/2.5
Cross Multiply
1.282 × 2.5 = x - 12
3.205 = x - 12
x = 12 + 3.205
x = 15.205
Approximately = 15.21 years
What’s the numerator for the following rational expression please I need help quick taking test currently
Answer:
Well, the most reasonable explanation would be j+8 or 8+j
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy).
Answer: P(S-name U Boy) = [tex]\dfrac58[/tex]
Step-by-step explanation:
Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Now, P(S-name U Boy) = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]
[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]
Hence, P(S-name U Boy) = [tex]\dfrac58[/tex]
The income from the spanish club bake sale was $465. Expense for the sale totlaed $50. Using integer addition find the total profit or loss from the bake sale
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Answer:
profit: $415
Step-by-step explanation:
Profit = Income - Expense
= $465 - 50
= $415
The profit from the bake sale was $415.
__
If you consider the above subtraction not to be "integer addition," then the equation you want to evaluate is ...
profit = $465 + (-50) = $415
Subtraction is the same as addition of the opposite.
2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = ?
Answer:
The answer is 10080
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1
=5+10029+12+34
=10080 answer
I need help on this angle measurement paper
Answer this and ill will help back and give brainliest
Answer:
Gh 2
Step-by-step explanation:
2
Standardization of Normal Distribution is the process of
Answer:
Step-by-step explanation:
Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.
For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3-
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Answer:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504Step-by-step explanation:
1. The sample space is all 16 possible sequences of T or F of length 4:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff
__
2. The number of possibilities is the product of the numbers of choices at each stage:
5 × 7 × 4 × 6 = 840 . . . different meals
__
3. 9C3 = 9!/(3!·6!) = 84
__
4. 9P3 = 9!/6! = 504
for what natural values of n are the value of the following expression equal to a natural number: n+6/n
Answer:
n=1, n=2, n=3, n=6
Step-by-step explanation:
Natural #=1, 2, 3, ...
6 is the largest natural number possible here
1, 2, 3, 6 are factors of 6
n is equal to all factors of 6.
which graph represents the compound inequality -3 greater than and greater than 1
Answer:
Its the 3rd option
Step-by-step explanation:
when -3 is greater hence (-infinity,-3)
when the number is greater than 1 then (1,infinity), hence
from top to bottom, the 3rd option is the answer:
(-infinity,-3) UNION (1,infinity)
match each statement to the reasons for the geometric proof. Part 3
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Answer:
4 1 5 3 6 2
Step-by-step explanation:
The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.
The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.
__
Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:
A - 4 (reflexive prop)
B - 1 (given)
C - 5 (ASA)
D - 3 (alt int angle)
E - 6 (the end point of the proof)
F - 2 (definition)
If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?
Answer:
$4.06 per gallon $4.06 x 7 = $28.42
Step-by-step explanation:
Which event has theoretical probability of exactly 1/5 select three options
The spinner is divided into 10 equal sections.
Which event has theoretical probability of exactly 1/5? Select three options.
A) spinning a number less than 3
B) spinning a 4 or 5
C) spinning an odd number
D) spinning a number greater than 8
E) spinning a number less than 8
Answer:
Options A, B & D are correct
Step-by-step explanation:
From the image attached, we can see that the total number on the spinner is 10.
Now, we want to find which event has theoretical probability of exactly 1/5
Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option B: spinning a 4 or 5 means 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.
Thus, probability = 5/10 = 1/2
This option is wrong.
Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.
Thus, probability = 2/10 = 1/5
This option is correct
Option E: numbers less than 8 are;
1,2,3,4,5,6,7. That's a total of 7 numbers.
Probability = 7/10
Thus, this option is wrong.
Answer: A, B, D
Step-by-step explanation:
Solve for indicated variable
Answer:dusy
Step-by-step explanation:
Answer:
h = SA/(2πr) - r
Step-by-step explanation:
From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:
[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]
For homework, a student had to complete 54 problems total. If she finished 9 problems in
class, what is the ratio of problems she still needs to complete to problems that she's
already finished?
Answer:
10
Step-by-step explanation:
Answer:
45:9
Step-by-step explanation:
12 students is what percent of 60 students?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
I believe it is 20% based on what I know.
(HELP! MARKING BRAINLIEST) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?
Answer:
14 packs per hour
Step-by-step explanation:
The store sold 57 - 15 = 42 packs of toilet paper in 3 hours.
42 packs in 3 hours = 42/3 = 14 packs per hour
PLEASE HELP!!!!!!!!!!!!
(also if you dont know please dont answer so the people who know see this)
Answer:
1. A, B, F, G, L
2. A, B, C, F, G, L, M
3. D, K
Step-by-step explanation:
1. THEY ALL HAVE 4 RIGHT ANGLES
a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?
Answer:
i feel as though you have to multiply base times height
Step-by-step explanation:
you would have to multiply it
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic
Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!
Anthony has t tickets. Charlie has 2 less than triple the number of tickets that Anthony has. In terms of t, how many tickets does Charlie have?
Answer:
3t-2
Step-by-step explanation:
if anthony has t tickets multiply that by 3 with 3t and subtract 2
On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
I'll give brainiest!
Answer:
88.9
Step-by-step explanation:
A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.
Answer:
18 credits per semester
Step-by-step explanation:
Based on the information given the rate at which she is earning credits is 18 credits per semester.
Using this formula
Credits earning rate=Ending credit-Beginning credits /Number of semesters
Where:
Ending credits=117 credits
Beginning credits=9 credits
Number of semesters=6
Let plug in the formula
Credits earning rate=117-9/6
Credits earning rate=108/6
Credits earning rate=18 credits
Inconclusion the rate at which she is earning credits is 18 credits per semester.
Learn more here:https://brainly.com/question/25458096
If f(x) = 3[x] + 5, find f(x) if x = 4.3
PLS ANSWER I HAVE TO TURN IN SOON
Answer:
F(x) = 17.9
Step-by-step explanation:
Plug in x. 3(4.3) + 5 = 17.9
Which equation represents a linear function?
Group of answer choices
y – 5 = x(–x + 2)
y – 5 = x – 20
y(x – 1) = 9
y(y – 1) = x + 25
Please please help me please it due today at 6:50pm please help will mark the brainiest please please help
Answer:
6. nebula
7. once the sun reaches the end of its life cycle it will become a white dwarf star
8. i cant see the rest fo the question
Step-by-step explanation:
hope this helps
Help pleaseee!
Thank you!
Answer:
The fourth graph
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
Ava bought 1.7 lb of plums and 7.2 lb of peaches how many was her total. Plums:$0.23. per pound peaches:$1.22 per pound
Answer:
0.391+8.42=8.811
8.811 in dollars is 10.42 United States Dollars
Step-by-step explanation:
Your answer is 10.42 c:
Please help I’m stuck on this question
the answer is b. the rest is so it can be enough charecters so i can post this answer