Answer:
The average yearly replacement cost is approximately $32,211,500
Step-by-step explanation:
Exponential Distribution
P(X < x) = 1 - e -x/
[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]
For the CPU, μ = 3 years
The probability that a CPU fails in less than 1 year is therefore;
P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]
For the RAM, μ = 2 years
The probability that a RAM fails in less than 1 year is therefore;
P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]
For the hard drive, μ = 5 years
The probability that a hard drive fails in less than 1 year is therefore;
P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]
The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;
P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)
∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423
∴ P(C ∪ R ∪ H) ≈ 0.64423
There is a 0.64423 chance that a laptop will require replacement
For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;
The average yearly replacement cost, 'Cost' is given as follows;
Cost = 500 × 100,000 × 0.64423 = 32,211,500
The average yearly replacement cost, Cost ≈ $32,211,500
What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?
Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
The explicit formula for the arithmetic sequence is D, a(n) = 4/5 + 1/6(n- 1)
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
The explicit formula is given by:
[tex]T_n = a + (n-1)d[/tex]
Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms).
Therefore, to find d:
29/30 - 4/5
29/30 - 24/30
d = 5/30
d = 1/6
Now putting them into the formula:
a(n) = 4/5 + 1/6(n- 1)
The last answer choice is right.
Learn more about arithmetic sequence here:
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Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
is .5 a integer? xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answer:
No
Step-by-step explanation:
Fractions and decimals are not considered integers
Identify segment AB all possible ways.
9.
10.
11.
12.
See attached
Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
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In a raffle, 200 tickets are sold.
The tickets are either red or blue.
The winning ticket is picked at random.
(a)
What is the probability that the winning ticket is green?
Answer:
0%
Step-by-step explanation:
Answer:
there is a zero percent chance that the winning ticket will be green if all of the tickets are either red or blue
BEUH PLEASE ANWSERRDDD THIS
Answer:
Circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
Suppose that there are 27 sophomores and 14 juniors in a Physiology class. Two students are chosen at random to participate in a class demonstration. What is the
probability of choosing two students at random and the first is a junior and the second one is a sophomore? Round your answer to four decimal places, if necessary.
Jeff translates triangle FGH 2 units left and 4 units up.
What are the new coordinates of point F after the translation?
O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
PLZ HELP FAST ILL GIVE POINTS AND BRAINLYEST
Answer:
C. (2,6)
Step-by-step explanation:
Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)
F (4,2) -> (4-2 , 2+4) -> (2 , 6)
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
Which algebraic expression represents this mathematical statement?
the product of 7 and a number
Answer:
C. 7 * n
Step-by-step explanation:
-2 is the ________ of 2
Answer: -2 is the numerical opposite of the number 2. Any numbers opposite is it's negative form. (except for 0 due to there being no opposite for something that is not negative or positive.)
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
The logo on a shirt is in the shape of a parallelogram. What is the area of the parallelogram? Round to the nearest tenth.
Answer:
90
Step-by-step explanation:
you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box
Answer:
I dont know can u explaining more
Step-by-step explanation:
its not clear too much
Rationalize the denominator and simplify 2√x-3 √y / √x+ √y
2√x−3√xyx+√y is your answer.
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
can someone help i will give brainlest
Answer:
Your answer is x+ 9.Thanks.
The zeroes of the function are
-2 and 0
0 and 4
-2, 0, and 4
1. x=-2, x=0
So, the equation in factored form would be x(x+2)=0.
2. x=0, x=4
So, the equation in factored form would be x(x-4)=0.
3. x=-2, x=0, x=4
So, the equation in factored form would be x(x+2)(x-4)=0.
Answer:
-2, 0, and 4
second part is none
third part is B
Step-by-step explanation:
I ended up doing it right now
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
Find the value of x in the triangle below.
Answer:
Can't be Solved
Step-by-step explanation:
tan x = opp/adj
tan x = 23/11
tan x = 2.09090909 which is about
tan x = 2.09
x = 64.4 degrees which is the tangent of 2.09 in degrees.
x = 64.4 degrees
This is the only way to solve, since no answer is equivalent it can't be solved.
Mr. Jones has fives eats on the school’s trip to Grand Canyon for his students. In how many different ways Mr. Jones can select a group of five from his class of 35?
Evaluate the following expression.
6^-3
Answer:
.0046, if you mean the -3 to be an exponent
Step-by-step explanation:
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments
GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
Answer:
the answer is 29.7
Step-by-step explanation:
inverse tangent of (4/7)
Example 5:
Mrs. Williams writes the following number on the board.
276,954
She instructs her students to write a number where the value of the 6 in their number is 10
times greater than the value of the 6 in the number on the board. Duwan writes the number
286,123. Is his answer correct? Explain how you know.
Answer:
No Duwan is in incorrect.
Step-by-step explanation:
When it asks for a number to be 10x greater, the answer would be in a digit that is 1 greater. For example 10x greater than 10 would be 100. You move the digit up once. An answer that Duwan could have used is: 260,000.
Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.
Ms. Wall will roll two number cubes. What is
the probability that she will roll a sum of 9 ?
Express your answer as a fraction.
(I'll give brainlist if u get it right)
Answer: 9/1
Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.
To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
For a sum of 9, the following combinations are favorable:
(3, 6), (4, 5), (5, 4), (6, 3)
So, there are 4 favorable outcomes.
The total number of possible outcomes is still 6 × 6 = 36.
The probability of rolling a sum of 9 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Simplifying the fraction, we get:
Probability = 1 / 9
Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n= 8? O 122 - 6+ 10; when n= 8, the value is 8. 12 O B- 6- 5+10; when n = 8, the value is 12. 02-6+10; when n = 8, the value is 11. O 6-9 +10, when n = 8, the value is 9
Answer:
the answer is 8
Step-by-step explanation:
the expression is written as (n/2 - 6)+ 10
therefore when n=8..
(8/2 - 6) + 10
we now have, (4-6)+10
(-2)+10=8...
An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers please help see the pic)
Answer:
28° 62°
Step-by-step explanation:
Hope this helps :)