A hotel has three clevators. One of themis a freight elevator. When pressing thebutton, one of the elevators randomlyservices your floor. If you use theclevators six times, what is the probabilitythat you use the freight elevator at leasttwo times?
Answers
You take into account that the probability of getting the freight elevator in one case. Such a probabilty is given by:
p = 1/3 because there are three elevator
For the case in which you use the elevator six times, the probability of getting the freight elevator will be:
P = 2/(3*6) = 2/18 = 1/9
where it is taken into account that the total number of moments in which the elevator is used.
Related Questions
When dilations represents a reduction ?
Answers
A dilation represents a reduction when the coefficients(number that goes at left) of x and y are less in value than 1.
For example, in this case there are three options bigger than 1 ( they are 1.2 , 4/3 , and 3/2)
and theres one option smaller than 1. ( That is 0.8)
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Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
Answers
Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5
Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.
What is equation?It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.
Part A:
The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.
Part B:
The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.
Part C:
Solving the equation from Part A:
x + 0.7 = 4.5
Subtract 0.7 from both sides:
x + 0.7 - 0.7 = 4.5 - 0.7
x = 3.8
Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.
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what is da rate to question
Answers
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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simplify ( 3/4)2
A. 3/4
B. 6/8
C. 9/16
D. 2 1/4
Answers
Answer:
answer is C
Step-by-step explanation:
(3/4)(3/4)= 9/16
Chris took 3 4/5 hours to clean the bathroom. He took 2 1/2 hours to clean the kitchen. How much longer did it take Chris to clean the bathroom ?Write your answer as a mixed number in simplest form.
Answers
As we are comparing the time it took Chris to clean the bathroom and the kitchen, we need to subtract the time that Chris took to clean the kitchen from the time he took to clean the bathroom, as shown below.
\(3\frac{4}{5}_{}-2\frac{1}{2}=\frac{15+4}{5}-\frac{4+1}{2}=\frac{19}{5}-\frac{5}{2}\)Then,
\(\begin{gathered} \Rightarrow3\frac{4}{5}_{}-2\frac{1}{2}=\frac{2\cdot19-5\cdot5}{5\cdot2}=\frac{38-25}{10}=\frac{13}{10} \\ \Rightarrow3\frac{4}{5}_{}-2\frac{1}{2}=\frac{10}{10}+\frac{3}{10}=1+\frac{3}{10}=1\frac{3}{10} \\ \Rightarrow3\frac{4}{5}_{}-2\frac{1}{2}=1\frac{3}{10} \end{gathered}\)The answer is 1 3/10 hours
The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola’s equation? A. 8 B. -8 C. -2 D. 2
Answers
Answer:
Option C is correct
Step-by-step explanation:
Given: vertex of this parabola is at (-2,-3)
To find: coefficient of the squared expression in the parabola’s equation if the x-value is -1, the y-value is -5
Solution:
The equation of parabola is of the form \(y=a(x-h)^2+k\)
Here, a is the coefficient of the squared expression in the parabola’s equation.
Put \((h,k)=(-2,-3)\,,\,(x,y)=(-1,-5)\)
\(-5=a(-1+2)^2-3\\-5+3=a(1)^2\\-2=a\\a=-2\)
So, the coefficient of the squared expression in the parabola’s equation is \(-2\)
A lawyer has numbered the cases that he is working on. He has criminal cases numbered 1,2,3,4 and civil numbered 1,2,3,4,5. Let R be the event of selecting a criminal case, C the event of selecting a civil case, E the event of selecting an even numbered case, and O the event of selecting an odd case. Selecting the criminal case number 4 is an example of which of the following events? Select all correct answers. Select all that apply: C′ R AND O C OR O C AND O C AND E R AND E
Answers
C′
R AND E
Because the case is criminal and the number is even, the case is an outcome of R and E. Therefore, it is also an outcome of R AND E, and C′.
The correct order of events during a criminal trial is represented by the following. The state makes opening arguments. The defense presented opening arguments. The defense presents its opening arguments before the state presents its case. The state makes opening arguments. The state presents its case first, and then the defense presents its case. It was the first time. The defense has opening arguments. The state makes opening arguments. The state presents its case first before the defense. The state presents opening arguments. The state presents its case first, then the defense presents its case.
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Help please if you can I beg
Answers
Subtract to find the difference in calories:
150-78 = 72
divide the difference by 150:
72/150 = 0.48
Multiply by 100 to get the percent:
0.48 x 100 = 48%
Answer: 48 %
Answer:
first of all subtract as given in question
158-78
after that divide the difference by 150
72/150=0.48
now at last multiply it with 100=0.48×100=48
!!!!!!!!!!!!!!!!!!!!!!!!Simplify, please. x^2+x−12/x−2/3x^2+11x−4/x^2−4
Answers
Answer:
x^2+3x+2/x^2-x-2
Step-by-step explanation:
That should simplify it
Answer:
(x² - x - 6) / (3x - 1)Step-by-step explanation:
See steps of simplification below:
(x² + x − 12) / (x − 2) ÷ (3x² + 11x − 4) / (x² − 4) =(x² + x − 12) / (x − 2) × (x² − 4) / (3x² + 11x − 4) =(x - 3)(x + 4) / (x - 2) × (x + 2)(x - 2) /(3x - 1)(x + 4) =(x - 3)(x + 2) / (3x - 1) =(x² - x - 6) / (3x - 1)The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?
The complex numbers have equal imaginary coefficients.
The complex numbers have equal real numbers.
The complex numbers have opposite imaginary coefficients.
The complex numbers have opposite real numbers.
Answers
Answer:
D).The complex numbers have opposite real numbers.
Step-by-step explanation:
I just test and kid above got it wrong eng2023
1/15 of the students in a class voted for a trip to the zoo.One third voted for a trip to the museum.what fraction of class did not vote?
Answers
Answer:
Step-by-step explanation:
Let's start by finding the fraction of students who voted for the trip to the zoo and the fraction of students who voted for the trip to the museum:
1/15 of the students voted for the zoo.
1/3 of the students voted for the museum.
To find the fraction of students who did not vote, we need to subtract the fraction of students who voted from 1 (which represents the whole class):
1 - 1/15 - 1/3
To subtract these fractions, we need to find a common denominator:
1 - 1/15 - 1/3 = 15/15 - 1/15 - 5/15
Simplifying the numerator gives:
= (15 - 1 - 5)/15
= 9/15
So, 9/15 or 3/5 of the class did not vote.
What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x
Answers
The given expression represents the area. Find the side length of the square. 49x + 70x + 25
Answers
Answer:
(7x+5) is the length of the square
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + B^2
Substituite values in and you will find this
What would be the final elevation if a moth is flying at at 9 meters above the ground and changes by -4?
a. 5 meters
b. -5 meters
c. 13 meters
d. -13 meters
Answers
which pair of numbers is relatively prime?
A.13 and 98 B.40 and 135 C. 82 and 116 D. 45 and 108
Answers
Answer: A. 13 and 98
Step-by-step explanation: their only GCF is 1.
Solve this system of equations
{y=2x
X=-y+6
Answers
Answer:
Step-by-step explanation:
x = -2x + 6
3x = 6
x = 2
y = 2(2)
y = 4
(2,4)
What is the radical form of each of the given expressions?Drag the answer into the box to match each expression. 5 2/35 1/23 2/53 5/2
Answers
To find the radical form of the expression we can use the next formula:
\(a^{\frac{b}{c}}=\sqrt[c]{a^b}\)By replacing the known values we obtain:
\(\begin{gathered} 5^{\frac{2}{3}}=\sqrt[3]{5^2} \\ 5^{\frac{1}{2}}=\sqrt[2]{5^1}=\sqrt[]{5^{}} \\ 3^{\frac{2}{5}}=\sqrt[5]{3^2} \\ 3^{\frac{5}{2}}=\sqrt[2]{3^5}=\sqrt[]{3^5} \end{gathered}\)A man is 4 times as old as his son. In 5 years time he will be 3 times as old as his son. What is the present age of the son in years.
Answers
Answer: 40 years old.
Step-by-step explanation:
Let man's age = a
Let son's age = b
Since a man is 4 times as old as his son, therefore
a= 4b
In 5 years, he will only be 3 times as old as his son, therefore
a+5=3(b+5)
Apply substitution method :
4b+5=3b+15
b=10
a=40
what is the pattern 2 10 40 120
Answers
Answer:
2 plus 3
Step-by-step explanation:
What is 4.239 rounded to the neareast hundreth
Answers
Answer:
4.24
Step-by-step explanation:
round the hundredths place according to the thousandths place
if the thousandths place (in this case 9) is 5 or greater, round the hundredths place up
if the thousandths place is less than 5, keep the hundredths place the same number
Answer:
4.24
Step-by-step explanation:
since there's a 9 in the thousandths it will change the 3 to a 4
Write 7,855.1 as an Ordinary Notation
Answers
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
Is the solution x = 4 correct?
1. Check the solution in the equation.
2. Justify your answer
Enter your answer and your justification in the space
provided.
Answers
Yes, the solution is correct as x = 4
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.
These expressions are also composed of operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
8 - √x = 10
collect the like terms
- √x = 10 - 8
subtract the values
- √x = 2
Then, we have;
√x = -2
Take the square root of both sides
x = (-2)²
x = 4
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You stop at the grocery store on the way home to pick up a few items. Round to the place of the first digit the items valued at $3.72, $.41, $1.28, and $.65.
Answers
Answer: 3.7 + 0.41 + 1.3 + 0.7
Step-by-step explanation: for 3.7 you see the number after 7 is 2 and that tells u to round down
0.41 - the digit after the 4 is 1 so u round down
1.3 - the digit after the 2 is 8 so u round up
0.7 - the digit after the 6 is 5 so u round up
Juan spins two different fair spinners. One spinner has numbers 1 through 8. The other has letters A through F. What is the probaility that one spinner will land on 3 and the other will land on C?
Answers
Answer:
...
Step-by-step explanation:
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answers
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780
Can you please find and solve the unknown variable.
Answers
The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
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i need to solve this so can you pls hlp
Answers
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)