Answer:
$100 worse off
Step-by-step explanation:
Number of Breakdowns : 0, 1, 2, 3, 4
Prob.: 0.50, 0.25, 0.10, 0.10, 0.05
Cost of a breakdown = $2,000
cost of a preventive maintenance program is $2,000 per month
Expected probability of breakdown:
E(x) = Σ(X * p(x)) = (0*0.5) + (1*0.25) + (2*0.10) + (3*0.10) + (4*0.05) = 0.95
E(x) * cost of breakdown = (0.95 * 2000) = $1900
Hence, difference between breakdown and preventive maintenance
1900 - 2000 = - $100
$100 worse off
Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).
Unit vector along the direction v = <3,1,-4> is :
[tex]\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}[/tex]
So, unit vector opposing the [tex]\hat{v}[/tex] is :
[tex]\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}[/tex]
so, vector of magnitude 3 units in opposite direction from v is :
[tex]\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)[/tex]
Hence, this is the required solution.
Pls help with right answer pls
Answer:
fifths
Step-by-step explanation:
I believe it is fifths since there are 5 people in the family, each person can get 3/5 of the pumpkin bread making it equal with nothing left over.
Which ordered pair, when graphed, would not show a function?
(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
(number of employees, number of hours worked)
Answer:
a) miles per gallon, gallons in tankStep-by-step explanation:
All the options show functional relationship but the first one
a) miles per gallon, gallons in tank
There is no direct relationship between these parameters as miles per gallon depends on the speed and the way of driving. This won't be a function when graphed.b) length of shadows/time of day
Shadow depends on the time of the day and its length wont repeat at different angles. This is a function.c) temperature in F, temperature in C
This is a function as each input will have a unique output.d) number of employees, number of hours worked
Hours of work depends on number of employees. This is a functional relationship.Answer:
(number of employees, number of hours worked)
Step-by-step explanation:
Identify the following number. Choose all that apply.
−9
Answer:
negative nine ?
Step-by-step explanation:
I don't understand
Answer:
-9 is the answer
The other choices I can think of is below
Step-by-step explanation:
X= -9
-|9|
Bag A contains 3 red balls and 3 blue balls.
Bag B contains 1 red ball and 3 blue balls.
A ball is taken at random from bag A and placed in bag
B. A ball is then chosen from bag B. What is the probability
that the ball taken from B is red?
Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:
[tex]p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}[/tex]
3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
1 (06.06 LC
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the collected data, the least squares
regression line is y3.27 2.14, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least squares
regression line (points)
of your the estimated number of tots per minute increases by 27
The question is incomplete. Here is the complete question.
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is [tex]y=3.27+2.14x[/tex], where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?
a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.
b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.
d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.
e. The slope has no meaning because the units of measure for x and y are not the same.
Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
Step-by-step explanation: The least-squares regression is a method of fitness, i.e., it fits a data set of number into an equation.
In this case, the relationship between number of texts per minute and customer age is given by a line equation:
[tex]y=3.27+2.14x[/tex]
in which, y represents the number of texts per minute and x is the age.
In a line equation, slope is the measure of steepness, i.e., how inclined the line is.
In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.
what is the process of solving sequential pattern C,D,F,G,J,K,O,P,__
C, D, (skip E)
F, G, (skip H and I)
J, K, (skip L, M, and N)
O, P, ...
If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.
(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)
Step-by-step explanation:
[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]
~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]
~Like terms are those which have the same base. Combine the like terms :
⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]
⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]
Step-by-step explanation:
Key skills needed for understanding: Combining Like Terms
1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]
- Since you are adding here, you can remove the parentheses.
- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]
2) Now we have to combine like terms in order to simplify this equation.
Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing - these terms are numbers such as 9 or 5).
You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.
3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].
[tex]8a^2 - ab + 2b + 9[/tex] is the answer.
Hope you understood and have a nice day!! :D
find the value of x?!??????
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
the difference of a number squared and six
Answer:
x^2-6
Step-by-step explanation:
This is an easy math question, I will give a lot of points.
Answer:
2.5 km/per hour
Step-by-step explanation:
do you want an explanation?
Hope it helps buddy.......
Pls help me with this
Answer:
Step-by-step explanation:
Remark
They are alternate interior angles and therefore equal.
Solution
8x - 10 = 3x + 90 Subtract 3x from both sides
8x - 3x - 10 = 90 Combine the left
5x - 10 = 90 Add 10 to both sides
5x = 90 + 10
5x = 100 Divide by 5
x = 20
================
That isn't the answer. You need 3x + 90
<B = 3*20 + 90
<B = 60 + 90
<B = 150
if
[tex]g(x) = - {4x}^{2} - 3x + 2[/tex]
determine g(-2).
Answer:
Its is right -8
Step-by-step explanation:
because put the value of x andalso know the multiply
im doing some math homework and i have a question its there is a propotional relationship between the number of months a person had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is 47.94. The point (6,47.94) is shown on the graph below i need to take a picture of the graph to show you and the question is what is the constant of proportional in this relationship? can you help me its due today help
Answer:
The area of a square plot is 1600 meter square . The side of the plot is
Answer:
1600 metre square
........
Which expression is equivalent to the given expression?
6y−12
Answer:
it is 6(y-2)
Step-by-step explanation:
Tommy buys a new stereo that sells for $1052.75 plus taxes. At the time of the
purchase the taxes and a $40 deferral charge are paid. The selling price is paid in
12 monthly payments.
A) What is the total amount to be paid at the time of the purchase?
B) What is the amount of each monthly payment?
Answer: See explanation
Step-by-step explanation:
A. What is the total amount to be paid at the time of the purchase?
This will be the selling price of the stereo with the tax and the deferral. This will be:
= $1052.75 + $40
= $1092.75
B) What is the amount of each monthly payment?
Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:
= $1092.75 / 12
= $91.06
simplyfy 0.064/0.84 and leave the answer in standard form
Answer:
0.07619047619.
Answer:7.619 x 10 -2
Step-by-step explanation
Standard form :)
Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
Answer:
THE ANSWER IS 0.003
Solve for t. 6t + 4 = -2
1 cm = ________ g
need help asap plsss
Answer:
1 cubic meter is equal to 1000000 gramscan u pls help me with this question
Answer:
15.58
Step-by-step explanation:
it is
3. A student measures the time it takes for a sheet of paper to fall to the ground from a marked height. The student then crumples the same piece of paper and drops the paper from the same. What variable did the student change?
Answer:
independent variable is the shape of the paper
dependent variable is the time it takes to fall
Multiply: 14.3 x 0.5
Answer:7.15
Step-by-step explanation: You multiply it
which. values are solutions to the inequality below
x^2<144
a. 12
b.11
c.7
d.-20
e.-8
f.-12
Answer:
I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.
Answer:
b, c, and e since they're all less than 144 when squared. negative numbers will turn positive when squared and they're bigger than 144 so they're incorrect.
Solve 2/3 divided by 4/5
a.6/15
b.6/8
c.8/15
d.5/6
Answer:
d.5/6
Step-by-step explanation:
2/3÷4/5
2/3×5/4
5/6
Answer:
2/3÷ 4/5 is 5/6
.
Step-by-step explanation:
-4 = r/20 -5
Solve for r. Show your steps
Answer:
r = 20
Explanation:
-4 = r/20 - 5
Simplify both sides of the equation-4 = r/20 - 5
-4 = 1/20r + -5
-4 = 1/20r - 5
Flip the equation1/20r - 5 = -4
Add 5 to both sides1/20r - 5 + 5 = -4 + 5
1/20r = 1
Multiply both sides of the equation by 20(20)1/20r = 1(20)
r = 20A store is instructed by corporate headquarters to
put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Can someone help? It would be appreciated! ♡︎
Answer:
Find out the selling price.
To prove
As given
A store manager instructs his employees to mark up all the items by 25%. An item that the store bought for $16.
25% is written in the decimal form.
= 0.25
25% of the $16= 0.25 × 16
= $4
Selling price of the item = Original price of item + 25% of the $16
= $16 + $4
= $ 20
Therefore the selling price of the item is $20.
Step-by-step explanation:
I was gonna steal the points but you seem nice. Have a good day!
Perimeter is always measured in square units.
True
False
false
Step-by-step explanation:
the perimeter is all the sides added up whereas the area is length × width
area is measured in square units not perimeter
The perimeter does not measures in square units because area should be measured.
What is the perimeter?A perimeter refers to the closed path that encompasses or outlines and represents the two-dimensional shape or a one-dimensional length. The perimeter of a circle is known its circumference.
Therefore, we can say that the The perimeter does not measures in square units because area should be measured.
hence, it is false.
learn more about perimeter here: https://brainly.com/question/17211131
simplify the expression 5(a+3)
Answer:
5a + 15
Step-by-step explanation:
To simplify, simply distribute 5 to all terms within the parenthesis. Multiply in this case:
5(a + 3):
5 * a = 5a
5 * 3 = 15
5a + 15 is your answer.
~
Answer:
5a x 15
Step-by-step explanation:
distribute the five