A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office?
Answer:
Step-by-step explanation:
Suppose F represents the value that a room is unlocked.
Then, we can assume that the probability of unlocked homes is:
P(unlocked homes) = P(U)
P(unlocked homes) = 40%
P(unlocked homes) = 0.40
Also, let us represent the value of the locked room with G.
P(locked homes) = P(G)
P(locked homes) = (1 - 0.40)
P(locked homes) = 0.60
Let the probability of selecting a correct key be P(S)
It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.
Now; since only one will open the house, then:
P(select correct key) = P(S)
[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]
[tex]P(S) = \dfrac{21}{56}[/tex]
P(S) = 0.375
Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:
P(F ∪ (G∩S) = P(F) + P(G∩S)
P(F ∪ (G∩S) = P(F) + P(G) × P(S)
P(F ∪ (G∩S) = 0.40 + (0.60×0.375)
P(F ∪ (G∩S) = 0.40 + 0.225
P(F ∪ (G∩S) =0.625
Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation:
A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?
Answer:
620 milliliters
Step-by-step explanation:
1 milliliter= 0.001 liters
0.62L= move the decimal point 3 places to the left
0.62
06.2
062.
0620.
620 milliliters
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
Learn more about Equation:
https://brainly.com/question/2263981
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Answer:
15
Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30
Answer:
15
Step-by-step explanation:
The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
Classify the following triangle. Check all that apply.
9.8
120 5.2
200
40°
13.2
O A. equilateral
B. isosceles
C. right
D. acute
E. scalene
F. obtuse
h
Answer:
E and F
Step-by-step explanation:
✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.
✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.
Answer:
E F
Step-by-step explanation:
When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Rectangle
Just finished the post test right now.
Check all the statements that are true:
a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.
Answer:
a. True
b. False
c. True
d. True
e. False
f. True
g. False
h. True
i. True
j. True
Step-by-step explanation:
The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.
Answer:
true
false
true
true
false
true
false
true
true
true
23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes
Answer:
151/720
Step-by-step explanation:
1 day = 24 hours = 1440 minutes
5 hours 2 minutes = 302 minutes
302/1440 = 151/720
Find the volume of the triangular prism.
Answer:
595
Step-by-step explanation:
So, the first step in solving this problem is finding the area of the base. To do this, we can split the triangle into halves, making two triangles with legs 5 and 7. Now, we just need to find the area for one triangle, and then multiply it by 2. The area of one triangle with legs 5 and 7 is 17.5, because (5*7)/2 is the formula for finding the area of the triangle. Now, we need to multiply the area of this triangle by 2 to get the area of the full triangle. 17.5*2 = 35, so the area of the base of the triangular prism is 35. Now, all we have to do is multiply the base by the height. Eventually, multiplying 35 * 17, we get 595.
Help
Don’t use for points or will take it back
Answer:
134=2x
X= 67
hope it helps
Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?
Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4
0.5 g of salt is equal to how many milligrams show your work
Answer:
Amount of salt = 500 milligrams
Step-by-step explanation:
Given:
Amount of salt = 0.5 g
Find:
Amount of salt in milligrams
Computation:
1 gram = 1,000 milligrams
So,
Amount of salt = 0.5 x 1,000
Amount of salt = 500 milligrams
help ill give brainliest 9 − 3z + 4 + 6z − 2 = ______
15 + 9z
11 + 3z
11 + 9z
11 − 3z
15 + 3z
Answer:
11+3z
Step-by-step explanation:
You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z
Answer:
[B] 11 + 3zExplanation:
9 − 3z + 4 + 6z − 2
Group Like Terms-3z + 6z + 9 + 4 - 2
Add Similar Elements: -3z + 6z = 3z3z + 9 + 4 - 2
Add / Subtract: 9 + 4 - 2 = 113z + 11Help i can’t find this answer anywhere.
Answer:
B, I think that's the answer
Pls help ASAP I’ll brainlest
Answer:
b) x= -13
Step-by-step explanation:
Answer:
it's answer is= - 13.175
but it is not in option
so B) - 13
is right
what is sociallizatioj
Answer:
Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society
hope it helps you
please mark me as brainlist
Step-by-step explanation:
mixing up and following social norms and values as a member of the society is called socialization.
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
is y=5/7x+2,y=5/7x-30 parell or perpendicular
Answer:
is y=5/7x+2,y=5/7x-30 parell or perpendicular
It's parallel
hello twngan sus puntos!!
Answer:
2029jjajvdjsjsvdghsjsjbs
Answer:
Answer:
Step-by-step explanation:
Thanks for free points!
1.
Directions:
Factor each expression.
Then find the roots of each equation.
I found all the factors, but not sure the roots of each equation.
Answer:
a. – 4 or –3
b. –4 or –2
c. 4 or –3
d. 7 or 4
Step-by-step explanation:
To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.
Now, we shall give the answers to the question.
a. x² + 7x + 12 = 0
x² + 3x + 4x + 12 = 0
Factorise
x(x + 3) + 4(x + 3) = 0
(x + 4)(x + 3) = 0
x + 4 = 0 or x + 3 = 0
x = 0 – 4 or x = 0 – 3
x = – 4 or –3
Therefore, the roots of the equation are – 4 or –3
b. t² + 6t + 8 = 0
t² + 2t + 4t + 8 = 0
Factorise
t(t + 2) + 4(t + 2) = 0
(t + 4)(t + 2) = 0
t + 4 = 0 or t + 2 = 0
t = 0 – 4 or t = 0 – 2
t = –4 or –2
Therefore, the roots of the equation are –4 or –2
c. 2n² – 2n – 24 = 0
Divide through by 2
n² – n – 12 = 0
n² + 3n – 4n – 12 = 0
Factorise
n(n + 3) – 4(n + 3) = 0
(n – 4)(n + 3) = 0
n – 4 = 0 or n + 3 = 0
n = 0 + 4 or n = 0 – 3
n = 4 or n = –3
Therefore, the roots of the equation are 4 or –3
d. y² – 11y + 28 = 0
y² – 4y – 7y + 28 = 0
Factorise
y(y – 4) – 7(y – 4) = 0
(y – 7)(y – 4) = 0
y – 7 = 0 or y – 4 = 0
y = 0 + 7 or y = 0 + 4
y = 7 or 4
Therefore, the roots of the equation are 7 or 4.
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.
Karen: y = x +
Alice: y = x +
2. What are the slopes of the lines represented by the equations?
3. What are the y-intercepts of the lines represented by the equations?
4. Do the lines intersect?
5. How many solutions are there to this system of equations?
math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?
Answer:
(1)
Karen: [tex]y = 2x +3[/tex]
Alice: [tex]y = 2x +1[/tex]
(2): Slope is 2
(3) y intercept
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
[tex]x = loaves[/tex]
[tex]y = amount[/tex]
Solving (1): Complete the equation.
For Karen:
[tex]m = 2[/tex] --- the rate
[tex]b = 3[/tex] --- additional spendings
For Alice:
[tex]m = 2[/tex] --- the rate
[tex]b = 1[/tex] --- additional spendings
The general equation is;
[tex]y = mx +b[/tex]
For Karen, it becomes
[tex]y = 2x +3[/tex]
For Alice, it is:
[tex]y = 2x +1[/tex]
(2): The slopes.
In (1), we have:
[tex]m = 2[/tex] --- the rate (for both Karen and Alice).
This rate implies the slope.
Hence, the slope is 2
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
[tex]y = 2x +3[/tex]
[tex]y = 2x +1[/tex]
Subtract both equations
[tex]y-y = 2x-2x +3-1[/tex]
[tex]0 = 2[/tex]
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
Hence, it is not possible to spend the same amount for the same number of loaves
A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?
Step-by-step explanation:
me kuch nhi karunga
When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?Find c.
Round to the nearest tenth:
Answer:
Step-by-step explanation:
2/Sin(105) = c / sin(15)
2 * sin(15) = c * sin(105) Divide by Sin(105)
2 * sin(15)/Sin(105) = c
2 * 0.2679 = c
c = 0.539
c = 0.5