A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?
Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
Learn more about the standard deviation here:
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One equation in a system is y = 2x - 4. Which equation gives the system no solution?
y = 2x - 4
y = 2x + 9
y = 1/4x - 4
y = -2x + 4
Answer:
[tex]y = 2x + 9[/tex]
Step-by-step explanation:
Step 1: I have to compare the equation given to the equation of a straight line
From the question, we have:
[tex]y = 2x - 4 \\ y = mx + c[/tex]
hence m = 2 and c = -4
So, the choice B: y = 2x + 9
Gives : m = 2 and c = 9
Hence since m is the same that is (= 2) and c is different, hence the equation has not solution then.
So, the answer is choice B
Helppppppp plzzzzzzzzz
Ewan HH
Step-by-step explanation:
Ewanjajsbehudbeiisiejebejehehehheehhehehe
Answer:
???
Step-by-step explanation:
Is 2 a solution of 4.3 + 12 = 4? Complete the statement.
• The equation is ?
when x = 2, so 2 ?
a solution.
22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?
A. 60 in.
B. 40 in.
C. 30 in.
D. 20 in.
PQ are the first two letters and AB are the first two letters.
Since the windows are similar the letters in one are in the same orientation as the other ones.
This means PQ would be the same as AB
PQ = 60
The answer is A. 60 in.
Answer:
a
Step-by-step explanation:
(5x+1)(5x-1) simplify
Answer:
(25x^2-1)
Step-by-step explanation:
I know the simplified form of (5x+1)(5x-1)=25x^2-1.
I know because I did the box method. So, I did 5x times 5x and got 25x^2. Then, I did 5x times 1 and got 5x. Next, I did -1 times 5x and got -5x. Next, I did -1 times 1 and got -1. Then, I took these terms I got in the box and put them together, and I got 25x^2+-5x+5x-1. I had to then simplify this equation. I added like terms.
In conclusion, the simplified form of (5x+1)(5x-1) is (25x^2-1).
Combine the like terms to create an equivalent expression.
and please only use the signs what I gave you in the screen shot thank you
Answer: 6k+19
Step-by-step explanation:
Like terms are terms with the same variables and powers. Since k is the variable in 7k and k, we have to do 7k-k=6k. Then because 19 isn’t a like term to 6k we just leave it. So the answer is 6k+19.
Hope this helps :)
take your time please.
Step-by-step explanation:
6/5(4)=24/20
1/2(5)=5/10
3/9(7)=21/63
3/8(5)=15/40
4/3(9)=36/27
2/4(8)=16/32
9/6(2)=18/12
7/5(6)=42/30
4/7(3)=12/21
Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4
4:3
3:7
7:3
A classroom had 16 computers. If the ratio of computers to ipads was 4 : 5, how many ipads does the classroom have?
Answer:
20 ipads
Step-by-step explanation:
The ratio is 4 : 5
4:5
*4 *4
16c :20i
16 Computers and 20 Ipads.
What is the solution set for 4x+ 9 <17?
A- x>2
B- x<2
C-x>4
D-x<4
Answer:
The awnser is d i think
Corey spent 18 minutes coloring. She spent 6 times as many minutes reading
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
X-11=28 Show work I. Need helpp
Answer:
39-11=28 so that means X=39
Step-by-step explanation:
all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer
Answer:
x = 39
Step-by-step explanation:
step 1.
Add 11 to both sides
x - 11 = 28
x - 11 + 11 = 28 + 11
step 2. Add the numbers
− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!
What value of x makes this equation true?
0.8x + 14 = 3.8x - 16
Step-by-step explanation:
The value should be
0.8x-3.8x=-16-14
-3x=-30
X= -30/-3= 10 Answer
Plz help!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
hello : here is an solution
HELP FAST! TRUE OR FALSE , RIGHT ANSWERS ONLY
Answer:
I think it could be true, but maybe its false
Step-by-step explanation:
Jennie is standing 52 km away from the Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcan??
9514 1404 393
Answer:
2.64°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
Here, the side of the right triangle in this geometry that is adjacent to the angle of elevation is the distance to the volcano: 52 km. The side opposite is the height of the volcano: 2.4 km. Then the angle α is found from ...
tan(α) = 2.4/52
α = arctan(2.4/52) ≈ 2.64°
The angle of elevation from Makayla's position is about 2.64°.
Answer:
Solution :-Since Jennie is standing away so,
[tex] \sf \: \tan( \arctan) = \dfrac{2.4}{52} [/tex]
=> 2.64⁰
Multiply (2-5i)(2+5i)
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
What is the total surface of the square
pyramid
Answer:
960.
Step-by-step explanation:
A large bakery makes cakes in two shifts: shift A and shift B. Suppose that, on average, cakes from shift A weigh
7.4 kg with a standard deviation of 0.2 kg. For shift B, the mean and standard deviation are 7.0 kg and 0.1 kg,
respectively.
Every day, the bakery takes an SRS of 25 cakes from each shift. They calculate the mean weight for each sample,
then look at the difference (A - B) between the sample means.
What are the mean and standard deviation (in kilograms) of the sampling distribution of CA - TB?
Answer:
D
Step-by-step explanation:
Khan Academy
An ice company has y lbs of ice in stock. The company sells 500 lbs of ice and then receives a new shipment of 5x lbs of ice. Which expression represents the
weight of ice the ice company has now?
Answer:
yes
Step-by-step explanation:
no sabo
Pls help ignore my answers :v.
so u r already finished? don't post it next time
I need help with this question-
36. Cone A is similar to Cone B with a scale factor 3:5. If the surface area of Cone B is 725 ft^2, find the surface area of Cone A.
Answer:
uhh 7 maybe?
Step-by-step explanation:
i dont know
Sam can type 20 words in 35 secorcs. How many words can he type in 90 seconds?
Answer:
51 words
Step-by-step explanation:
20words=35 seconds
? =90 seconds
Cross multiplication to get
(90×20)/35
1800/35
51.42
Meaning he can type 51 words in 90 seconds
Answer:
he can type about 51 words in 90 seconds because
use proportion
7x = 360
x = 51 3/7
x is about 51
Step-by-step explanation:
Graph logarithmic function g(x)=log3x
Answer:
Step-by-step explanation:
The logarithmic equation provided can be seen graphed in the image attached below. We can see from the graph that as the line approaches the +3 on the y-axis it moves infinitely towards positive infinity on the x-axis. Never truly touching the y-value of 3 but instead increasing less and less every time towards it.
WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integer.
Answer:
I wont be able to help much and get you till all the way to the end but here is what i know:
Step-by-step explanation:
The radius of the smaller circle is 6, and the longer segment adds up to 12 since 6 + 6 = 12. the area of the whole bigger circle would be 452.389, by using the formula of the area of a circle "πr²". This is what i can tell and the only part I'm confused in how to find the area of JUST the shaded part. I hope this helped a bit!
To exercise, Ana goes up and down a ladder. She starts at the sixth step and walks as follows: up 3 steps, down 4 steps, up 2 steps, down 3 steps. On what step does she end up?
Answer:
step 4
Step-by-step explanation:
she's at 6 then goes up 3 which would mean she's at step 9. then she goes does 4 so subtract 9-4=5. She would be on step 5 but she decides to go up 2 so add. 5+2=7. then she goes down 3 steps so subtract. 7-3=4. she ends up at step 4.
At a restaurant, the bill comes to $80. You decide to leave a 12 % tip. How much did you leave for the tip?
Answer: 0.12
Step-by-step explanation: I think that should be the answer if not im sorry i just wanted to help. :(
Find the surface area of the figure below
9514 1404 393
Answer:
144 square meters
Step-by-step explanation:
The formula for surface area of a cuboid is useful.
A = 2(LW +H(L+W))
A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)
A = 144 m²
The surface area of the figure is 144 square meters.
I need help please.
Answer:
i think the anwser is 2
Step-by-step explanation:
Answer: 24 cubes
Step-by-step explanation: