Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?
Answer:
3.33 m/s
Step-by-step explanation:
speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]
does anybody know how to solve this10+|7-5x|= 11
Answer:
-6/5
Step-by-step explanation:
The first thing that you will do is to remove the absolute value bars. So, it will look like this: 10+7+5x=11
Then, you will combine like terms. So, this is how it will look: 17+5x=11
Next, you will subtract 17 from both sides since it is a positive number, (use the subtraction property of equality) and it will look like: 17-17+5x=11-17
Then you get: 5x=-6
So, from there, you must divide. (use the division property of equality) 5x/5=-6/5
So, your answer is -6/5
Kylie is studying the change in the water level of Sweetgum Pond as part of a summer science experiment. In the first week of June, the change in the water level was – 4 centimeters. The next week it stormed almost every day, so the water level rose 7 centimeters.
Answer:
3 centimeters
Step-by-step explanation:
The computation of the change in the water level over the first two weeks of June is shown below:
= Rise in the water level - changed in the water level
= 7 centimeters - 4 centimeters
= 3 centimeters
hence, the change in the water level is 3 centimeter and the same is to be considered
We simply applied the above formula so that the correct value could come
Answer:
3
Step-by-step explanation:
in a sequence of numbers, a3=18, a4=14, a5=10, a6=6. Based on this information, which equation can be used to find the nth term in the sequence , an?
Answer:
i got an=-4+22 not thats not one of the answer choices..
Step-by-step explanation:
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
b. e
Step-by-step explanation:
Options B and E are the correct answers.
We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.
The translation is (x, y) → (–x, –y).
Therefore, options B and E are the correct answers.
To learn more about the transformation visit:
https://brainly.com/question/11709244.
#SPJ5
if tan A= 1,what is the value of A
Answer:
45°
Step-by-step explanation:
Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin, cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = [tex]\frac{\pi}{2} + n\pi[/tex]. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function ([tex]tan^{-1}[/tex]) and plug in 1 to find the primary answer of 45.
Which one?
A. B. C. or D?
Answer: c
Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.
Elizabeth made 80 cookies for the bake sale at school. She sold 35% of the cookies. How many cookies are left to sell tomorrow?
3x−(2x+1) for x=7 5/13
Answer:
83/13 or 6.3846
Step-by-step explanation:
i subsituted for x and used a calculator
Which one?
A. B. C. or D?
What’s the equation of (6,39) and (-5,-49)
if 2025 students are arranged in equal number of rows and columns find the number of students in each rows
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
.....
....,..,.....
Which list is in order from least to greatest?
Answer: A
Step-by-step explanation:
Scientific notation exponents are in order from least to greatest and 8.1 > 6
The last part is function but need help asap
I'm stumped. Help please
Write an equation of a line through the point (6, 2) with slope 2/3.
Answer:
y=2/3x-2
Step-by-step explanation:
Find the value of the expression:
4^3·25^3
Evaluate each expression. (-3)-8 and -3-8
Answer:
-11 and 24
Step-by-step explanation:
(-3)-8=-3*(-8)=24
-3-8=-11
hope this helps
brainliest?
Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?
Answer:
They will finish packing boxes at the same time after 91 minutes.
Step-by-step explanation:
From the question,
Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,
Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.
To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes
For Kaitlin, she will finish packing box(es) at the following times:
13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.
For Ambrose, he will finish packing box(es) at the following times:
7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.
From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.
Hence, They will finish packing boxes at the same time after 91 minutes.
1 less than the quotient of a number n and 6
Answer:
[tex]\frac{n}{6}[/tex] - 1
Step-by-step explanation:
whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.
?
Select the correct answer.
No, they only have 1 corresponding equal angle.
Yes, they have 2 corresponding equal angles
No, they are not the same size.
Yes, they are the same shape.
Help
Answer:
yes they have 2 corresponding equal angles.
Triangle ABC will be dilated according to the rule
[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
The answer is (1,0), but could someone explain how you get it, please?
Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.
In this case the center of dilation is located at F: (3,1)
The first step we must take is to find how many units point F is from vertex A.
In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)
Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)
4 * 0.25 = 1
8 * 0.25 = 2
This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:
1 unit vertically
2 units horizontally
Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:
Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)
Reference the second image to see this
Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.
~Just a girl in love with Shawn Mendes
Answer:
D 1,0
Step-by-step explanation:
credit to the one up above
Jaxon earned $123.90 at his job when he worked for 7 hours. How much money did he earn each hour?
Answer:
$17.70
Step-by-step explanation:
123.90 / 7 = 17.7
The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level.
A number line has points blank, A, negative 100, B, 0, C, 100, blank, D.
Which point is a representation of periscope height?
Point A
Point B
Point C
Point D
Answer:
d
Step-by-step explanation:
Answer:
It is point d
Step-by-step explanation:
Given m|n, find the value of x.
t
m
(9x+23)
(10x+6)°
Someone help?
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
If you have 24 questions how many answers can you miss to have a passing grade
Answer:
you have to get 15 right so for 60% or above so you can miss 9
Step-by-step explanation:
60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15
Answer: 7
Step-by-step explanation:
Because if 6 is 75% we can conclude 7 is 71%
There are 12 months in a year and 52 weeks in a year. What is the ratio of months to weeks in one year? A 6/27 B 3/13 C. 13/3 D. 27/6
Answer:
B.
Step-by-step explanation:
12/52=6/26=3/13
If one is subtracted from seven times a certain number,
the result is the same as if 31 is added to three times the
number. Find the number.
Answer:
The number is 8
Step-by-step explanation: