The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
Given here,
Mean (μ) = 3 years 6 months
= (3×12)+6 = 42 months
Standard deviation (σ) = 9 months
We will find the z-score using the formula: z = (X - μ)/σ
Here X₁ = 2 years 3 months
= (2×12)+3 = 27 months
and X₂ = 3 years 3 months
= (3×12)+3 = 39 months
So, z (X₁ =27) =
and z (X₂ =39) =
According to the standard normal table,
P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707
So, P(27 < X < 39)
= 0.3707 - 0.0485
= 0.3222
= 32.22 % [Multiplying by 100 for getting percentage]
So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.
What is a normal distribution?A normal distribution is a continuous probability distribution that describes a symmetric, bell-shaped curve of data.
It is also known as a Gaussian distribution or a bell curve.
The normal distribution is used to model many real-world phenomena, such as measurements of height, weight, blood pressure, and IQ scores, among others.
We have,
To solve this problem, we first need to standardize the values of 2 years 3 months and 3 years 3 months, using the mean and standard deviation of the distribution.
The mean of the distribution is 3 years 6 months, which is equivalent to 3.5 years, and the standard deviation is 9 months, which is equivalent to 0.75 years.
The standardized value of 2 years 3 months is:
z1 = (2 + 3/12 - 3.5) / 0.75 = -1.33
The standardized value of 3 years 3 months is:
z2 = (3 + 3/12 - 3.5) / 0.75 = -0.33
We can now use the standard normal table to find the probability of a randomly selected hard drive lasting between 2 years 3 months and 3 years 3 months.
P (-1.33 ≤ Z ≤ -0.33) = P(Z ≤ -0.33) - P(Z ≤ -1.33)
From the standard normal table, we find that:
P(Z ≤ -0.33) ≈ 0.3708
P(Z ≤ -1.33) ≈ 0.0918
Now,
P(-1.33 ≤ Z ≤ -0.33) ≈ 0.3708 - 0.0918 = 0.279
Thus,
The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.
Learn more about normal distribution here:
https://brainly.com/question/31327019
#SPJ5
PLEASE HELP THIS IS HARD
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling two numbers with a sum that is less than 7?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
5/12
Step-by-step explanation:
1 (1,1) (1,2) (1,3) (1,4) (1,5) -5
2 (2,1) (2,2) (2,3) (2,4) -4
3 (3,1) (3,2) (3,3) -3
4 (4,1) (4,2) -2
5 (5,1) - 1
I took each row from the table and deleted the die rolls that added up to less than 7.
(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)
Then add the number of rolls. (5+4+3+2+1= 15)
Find the total number of possible rolls [(6)(6)=36]
Put them in fraction form, rolls that are less than 7/total number of rolls
You get 15/36
Reduce the fraction by adding the numerator and the denominator by 3.
Your final answer is 5/12.
Explain the advantages and disadvantages of a non-linear rate structure.
Please, help!
Answer:
advantage: it uses memory very efficiently than linear data structures
disadvantages: Non - linear data structures are quite hard to understand and implement than linear data structures
The graph of g is a translation 2 units left of the graph of f(x) = x−−√x. What is the domain of g? A. all real numbers B. x ≥ −2 C. x ≥ 0 D. x ≥ 2
4 units left means change in x
y=x√x+2So
Solve for domain
x+2≥0x≥-2Domain=[-2,oo)Option A
The domain of g is x ≥ -2, which is option B.
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
the graph of g is a translation 2 units left of the graph of f(x) = x√x.
When f(x) is translated k units to the left, the new function will be f(x + k).
So the new function g is,
g(x) = (x + 2) √(x + 2)
In order for the function to be defined, the part inside the square root must be greater than or equal to 0.
x + 2 ≥ 0
x ≥ -2
Hence the domain is x ≥ -2.
Learn more about Translation here :
https://brainly.com/question/29288435
#SPJ3
Central school is hosting a Centrel has talent show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after first wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money select all that apply
Answer:
A,B,D,E
Step-by-step explanation:
yes
NEED HELP WITH NUMBER 4! GIVING BRAINLIEST AND 20 POINTS TO BEST ANSWER. GIVE MODELS IF U CAN! THANKS! YOU CAN DO IT! :D
Answer:
10/21
Step-by-step explanation:
5
7
+
2
3
=
5 × 3
7 × 3
+
2 × 7
3 × 7
=
15
21
+
14
21
=
15 + 14
21
=
29
21
=
1 8
21
[tex]Hello[/tex] [tex]There![/tex]
Let's do this step-by-step explanantion!
[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]
Apply the fraction rule:
[tex]\frac{5x2}{7 x 3}[/tex]
Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]
[tex]=\frac{10}{7 x 3}[/tex]
Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]
[tex]=\frac{10}{21}[/tex]
Answer:
[tex]\frac{10}{21}[/tex]
Also, sorry. I wasn't able to give you a model.
Hopefully, this helps you!!
[tex]OwoSokka[/tex]
ANSWER NOW NEEDS TO BE DONE WITHIN 90 MIN!!!!
What percent of the students received a score below 64, if the mean grade on a test was 70 and the standard deviation was 6.
Using the normal distribution, it is found that 15.87% of the students received a score below 64.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].
The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64 - 70}{6}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
Hence, 15.87% of the students received a score below 64.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Please help!! 155 questions 2 hours in I need help!
Answer:
the first one And the first one only
Step-by-step explanation:
supplementary angles are angles that add up to 180.
Hope this helps! :)
f(x) if f(x-2)=2-x
RSM IS KILLING ME HERE
also there's some more like this but if ik how to do this i might be able to figure those out
thanks!
Answer:
[tex]f(x)=-x[/tex]
Step-by-step explanation:
[tex]f(x-2)=2-x[/tex]
To change [tex]f(x - 2)[/tex] into [tex]f(x)[/tex], substitute [tex]x=x+2[/tex]:
[tex]\implies f((x+2)-2)=f(x+2-2)=f(x)[/tex]
Therefore, substitute [tex]x=x+2[/tex] into both sides of [tex]f(x-2)=2-x[/tex]:
[tex]\implies f((x+2)-2)=2-(x+2)[/tex]
[tex]\implies f(x)=-x[/tex]
Let's spot out.
f(x-2)=2-xPut x+2 in place of x
f(x+2-2)=2-(x+2)f(x)=2-x-2f(x)=-xIf i have 36 assignments how many should i do a week to have it all done in 6 weeks
25 points
Answer: 6
Step-by-step explanation: 36/6 = 6
Answer:
6
Step-by-step explanation:
[tex]\frac{36}{6}[/tex][tex]=6[/tex]
6x6=36
can somone help me i need this quick ill give brainlist
Answer:
A
Step-by-step explanation:
40/100+ 3/10 AKA 30/100=70/100
subtract 70 from 100 and you get 30
so 30/100 donuts are cinnamon
hope that helps
What is origin? Write down the coordinates of origin.
Answer:
(0, 0)
Step-by-step explanation:
Origin is the center of the coordinate plane which is located where the x-axis and y-axis meet
i kinda need help! No links No files :)
Answer:
14 sq. units
Step-by-step explanation:
We know that :
Area (Δ) = 1/2 x Base x HeightBase
Take the difference between the lowest x-value and highest x-value-4 + 8 = 4 unitsHeight
Take the difference between the lowest y-value and highest y-value9 - 2 = 7 unitsArea
1/2 x 4 x 728/214 sq. unitsa fair coin is flipped 11 times exactly 9 are tails
The probability of having tails is 9/11
Data;
N = 11tails = 9ProbabilityThis is the possibility of an event occurring. In a sample space of 11 coin flips, tails came up 9 times and head came up 3 times
Number of time head came up = [tex]11-9 = 3[/tex]
The probability of having tails is calculated as
[tex]p = \frac{9}{11}[/tex]
The probability of having head is calculated as
[tex]p = \frac{3}{11}[/tex]
The probability of having tails is 9/11
Learn more on probability here;
https://brainly.com/question/24756209
Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3
Answer:
As Per Given Information
we have been asked to determine the consine ratio of ∠K .
[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]
with respect to ∠K .
substitute the given value & let's solve it for k .
[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]
Therefore,
Cosine ratio for ∠k is 3/5Your answer is (c) 3/5
Point P(−5.15, −7.05) is a reflection across the x-axis of which of the following points?
(−5.15, 7.05)
(−7.05, −5.15)
(5.15, −7.05)
(7.05, 5.15)
Is (-7, -3) a solution to this system of equations?
x = -7
y = -x - 10
Yes or no
===========================================================
Explanation:
The point (-7,-3) means x = -7 and x = -3
Right off the bat, the first equation x = -7 is proven true based on the first coordinate.
Let's now plug the coordinates into the second equation.
y = -x-10
-3 = -(-7)-10
-3 = 7-10
-3 = -3
Which is a true statement.
Both equations are true when (x,y) = (-7,-3)
This is why it is a solution to the system. It turns out it's the only solution to this system. This system is consistent and independent.
You can use a graphing tool like Desmos to plot the two equations, and you should see them crossing at the point (-7,-3)
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
x = -7
y = -x - 10
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the first equation, for x, into the first equation:
x = -7
y = -x - 10
y = -(-7) - 10 <== multiplying two negatives, makes a positive
y = 7 - 10
y = - 3 <== the value of y
Now, we find the value of x by substituting - 3 for y:
y = -x - 10
- 3 = -x - 10
+10 +10
7 = -x <== you can't have a negative variable
/-1 /-1
-7 = x <== the value of x
(x, y) ==> (-7, -3)
Therefore, yes (-7,-3) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
help please
What is the surface area of a cube with an edge of 5 cm?
Answer:
150 cm^2
Step-by-step explanation:
A cube has 6 surfaces
Each surface square = 5 by 5
So.....
5 x 5 (or 25) times 6
25 x 6 = 150
Hope this helps!
Covert 135 degrees to radian
Answer:
2.35619
Step-by-step explanation:
Answer:
2.35619
Step-by-step explanation:
Deg to Rad = ° x pi / 180
JL and MO are parallellines.
Which angles are alternate exterior angles?
Answer:
<N and <K
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of the two parallel lines and are opposite of each other yet their measure is equal to each other.
The pair of angles that meet these requirements mentioned above are angle N and angle K.
You have just inherited $150,261 from a trust that has matured. you would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. determine, from the given information, the amount of the annual withdrawals. round to the nearest cent. a. $16,578.03 c. $15,978.10 b. $162,851.31 d. $15,575.98
The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.
What is the amount?The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P ia the annual payment
PV is the present value = $150,261
r is the rate of intreast = 9.1% = 0.091
n is the time period= 20
The formula for the annual payment is found as;
[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]
Hence the amount of the annual withdrawals will be $16,574.24.
To learn more about the amount refer to the link;
https://brainly.com/question/12184047
What is the solution to the system
x + 4y = -8
x - 4y = -8
Answer:
x = -8
y = 0
Step-by-step explanation:
2 1/8 - 1 1/4 can someon e help????
Answer:7/8
Mixed number just do it
ABSOLUTE VALUE FUNCTION
PLS HELP WILL GIVE BRAINLY FOR CORRECT ANSWER ONLYY
B) [tex]\sf y=\left|x-3\right|[/tex]
The original graph has x-intercept : 3 || y-intercept : 3Calculate the y-intercept and x-intercept for every function.Here in option B,
y-intercept:
y = |x-3|
y = |0-3|
y = 3
x-intercept:
0 = |x-3|
x - 3 = 0
x = 3
Thus option B is correct.
simplified?
0.0007 - (4.9 × 10^-7)
A.
4.8993 × 1^0-7
B.
6.9951 × 10^-7
C.
2.1 × 10^-4
D.
6.9951 × 10^-4
Answer:
Option B
Step-by-step explanation:
Given the following question:
In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.
[tex]0.0007 - (4.9\times 10^{-7} )[/tex]
[tex]4.9\times10^{-7} =0.00000049[/tex]
[tex]0.0007-0.00000049[/tex]
[tex]0.0007-0.00000049=0.00069951[/tex]
[tex]=0.00069951[/tex]
[tex]0.00069951=6.9951 \times10^{-7}[/tex]
[tex]=6.9951 \times10^{-7}[/tex]
Your answer is "6.9951 × 10^-7" or option B.
Hope this helps.
Solve and show the answer in simplest terms 2 over 5 + 1 over 3
Answer:
11/15
Step-by-step explanation:
2/5+1/3
Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.
Can you pls help me with this
Rob needs to mix 4.5 liters of liquid fruit punch concentrate with 0.5
liters of water to make fruit punch. Rob has 13.5 liters of fruit punch
concentrate. How much fruit punch can he make?
A money box contains only 10-cent and 20-cent coins. There are 40 coins with a total value of $6.50. How many coins of each?
Answer:
10x+20y= 350
Step-by-step explanation:
Add the decimal. 3.50
Let's assume that all the coins are 10-cent coins.
The total value would be 10 x 40 = 400 cents = $4
So, it would be $2.5 less than the actual total value,
We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.
Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)
-> There are 25 20-cent coins and 15 10-cent coins
Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5
Bbh. Pls help i am stuck and need it i give 25 pts thanks
Answer:
8 cm
Step-by-step explanation:
You want the base of a triangle, given its height is 3 cm. From the base of 12 cm, the same triangle has a height of 2 cm.
AreaThe area of a triangle is given by the formula ...
A = 1/2bh
The area will be the same for any (base, height) pair of dimensions. The height is always measured perpendicular to the base. The base is generally one side of the triangle.
ApplicationHere, the longest side is labeled 12 cm, and the perpendicular distance to the opposite vertex (height) is labeled 2 cm. This means the triangle area is ...
A = (1/2)(12 cm)(2 cm) = 12 cm²
The distance perpendicular to the unknown side is shown as 3 cm. This gives you a clue that using the area of the triangle to find the unknown side is probably useful.
A = 1/2bh
12 cm² = 1/2(b)(3 cm)
8 cm = b . . . . . . . . . . . . multiply by 2/(3 cm)
The value that goes in the box is 8.
__
Additional comment
The attachment is drawn to scale.
<95141404393>
A little confused can I get some help?
Answer:
Step-by-step explanation:
4+(7-5)2= 8 I guess