Answer:
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Step-by-step explanation:
This question is solved treating these probabilities as Venn events.
I am going to say that:
Event A: Person invests in stocks.
Event B: Person invests in bonds.
65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks
This means that [tex]P(A) = 0.65[/tex]
38% end up investing in bonds
This means that [tex]P(B) = 0.38[/tex]
36% end up investing in both stocks and bonds.
This means that [tex]P(A \cap B) = 0.36[/tex]
What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
This is [tex]P(A \cup B)[/tex], given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this problem:
[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?
Answer:
the answer is 100:60:40 hope it helps
Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary.
Answer: the perimeter is 20
Step-by-step explanation:
Distance between C and D
Sqrt (-2-1)^2 + (1- -3)^2=
Sqrt -3^2 + 4^2=
Sqrt 25 = 5
Between D and E
Sqrt(5-2)^2+(0-4)^2=
Sqrt 25 = 5
Between E and F
Sqrt(1-5)^2+(-3-0)^2=
Sqrt 25=5
It is a square
The value of the perimeter of a quadrilateral is, 20 units
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Vertices are,
C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).
Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
CD = √(- 2 - 2)² + (1 - 4)²
CD = √16 + 9
CD = √25
CD = 5
DE = √( 2 - 5)² + (4 - 0)²
DE = √9 + 16
DE = √25
DE = 5
EF = √(5 - 1)² + (0 + 3)²
EF = √16 + 9
EF = √25
EF = 5
FC = √(- 2 - 1)² + (1 + 3)²
FC = √9 + 16
FC = 5
Thus, The value of the perimeter of a quadrilateral is,
CD + DE + EF + FC
5 + 5 + 5 + 5
20 units
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PLEAS HELP ASAP Fill in the missing probabilities on your paper and then answer the questions below. Make sure to type the ZERO before the decimal point. (example: 0.3 rather than .3) Give exact answers - do not round. please please please please help
This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.
The probabilities are:
P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8
Conditional probability:
In this problem, conditional probability concepts are used, and for this, we have that:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
P(A)
At the first node, we have that:
P(A) = 0.7
P(A and B):
From the first node, we have that [tex]P(A) = 0.7[/tex]
From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]
[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]
So
P(A and B) = 0.14
P(B):
P(B) = P(A and B) + P(not A and B).
P(not A) = 0.3, P(B|not A) = 0.4, then:
[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]
P(B) = 0.14 + 0.12 = 0.26
P(A or B)
We have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already have the three of them, so just replace:
[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]
Then
P(A or B) = 0.82
P(not B given A)
If A happens, either B happens, or it does not. That is:
P(B|A) + P(not B|A) = 1
Since P(B|A) = 0.2
P(not B|A) = 1 - 0.2 = 0.8
Then
P(not B given A) = 0.8
To take another look at conditional probability, you can check https://brainly.com/question/24161830
please help
solve for u
5u^2=-3u+2
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6
Answer:
D.
Step-by-step explanation:
5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.
Answer:
D. 5n - 6
Step-by-step explanation:
6 less means -6
The product of 5 and a number means 5 x n which is the same as 5n
And it wants us to subtract 6 from 5n
so we would write it as...
5n - 6
Help please anyoneee
Answer:
here's the answer to your question
Someone help me please
Answer:
16 cows
Step-by-step explanation:
i just guessed and checked using
4*cow heads + 2 * geese heads
i got 16 cows and 47 geese
5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five
Answer:
a
Step-by-step explanation:
3x+5=17
3x=17-5
3x=12
x=4
can someone please help me out marking brainliest
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours
1 hour = 60 minutes
3.5 hours x 60 = 210 minutes
210 minutes / 7.5 minutes per mile = 28 miles
Answer: 28 miles
whats the correct ordered pair for, x+y=12 and -x=-y-10
i'm doing this as a system, ok?
x + y = 12
- x = - y - 10
x + y = 12
-x + y = -10
2y = 2
y = 1
x + 1 = 12
x = 11
so, the ordered pair is (11, 1) -> remember that the x always comes first
hope it helps :)
Answer:yes yes culo Rotox (b
Step-by-step explanation: pro gard1bas x12x14x20¿142
find the value or x.
-
a. 5
b. 11
c. 25
d. 31
a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?
Answer:
1.23 kg
Step-by-step explanation:
(20.25 kg + 35.10 kg) : 45 = 1.23 kg
Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?
Answer:
-1
Step-by-step explanation:
Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.
This means we are looking for a vertical line.
Instead of lambda, I'm going to use u.
So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.
So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.
So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.
The value of λ is -1 and is perpendicular to vector a.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
Vector a = (1, 0) and b = (1, 1).
Here the vector is visualized as line is horizontal and has equation y=0.
Now, we have a + λb is perpendicular to vector a.
So, a + λb = (1, 0) + λ(1, 1)
= (1 + λ, 1)
Now, to get the vertical component we must have λ= -1.
Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.
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Write a function rule for the table. (Help please)
is it a,b,c or d
A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?
Answer:
8.69 per pair
Step-by-step explanation:
Take the total cost and divide by the number of pairs
26.07 /3
8.69 per pair
hlpppppppppppppppppppppppppppppppppp
Answer:
4th quadrant
Step-by-step explanation:
quadrant 4 is (+,-)
Answer:
It is the 4th quadrant!
Step-by-step explanation:
Hope it helps! ;D
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
I am really bad at algebra please help!!
I need it now please with explanation ☺️
Answer:
E. 7x
Step-by-step explanation:
3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .
So they remain the same.
(e) 12x
(f) 12x²
(g) 12x²
(h) 1x
(I) 2x²
(J) 2x²
(K) -10x
(L) -20x
(M) 6x²
(N) 20x²
(O) -15x²
(P) -12x³
Your answers were wrong so i did all of them
Quick tip the power comes only when you multiply and not when you add
For example x + x = 2x
x × x = x²
All the answers
Must click thanks and mark brainliest
Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?
Answer:
4 :45 pm
Step-by-step explanation:
2 : 20 + 17 minutes = 2:37
2:37 + 1hr 1 minute = 3 : 38
3 : 38 + 1 hr 7 = 4 :45 pm
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.
Answer:
B
Step-by-step explanation:
Answer:
B) It is a relation but not a function of X
Explanation:
What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.
A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.
If a ball is drawn at random, find the probability that it is neither blue nor red.
Answer:
1 /4
Step-by-step explanation:
Given that :
Number of red = 7
Number of Blue = 7
Number of green = 14
Total number of balls = 28
Probability of picking a ball that is neither red nor green.
Probability = required outcome / Total possible outcomes
P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answer:
[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
Which function shows a fabric with a price of $1.25 per square yard?
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).
Answer:
D
Step-by-step explanation:
Took the test
Brainliest pls
Answer:
D
Step-by-step explanation:
E 2020
please help ASAP geometry
Answer:
A' (-6,12)
B' (9,9)
C' (-3,0)
Answered by GAUTHMATH
Express (root 19 - root 7)(root 19 + root 7) in simplest form.
Answer
root 354
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(√19 -√7)(√19 +√7)
( a +b)( a -b) = a²-b²
(√19)² -(√7)² = 19 -7 = 12
can someone help me with this
Answer:
Infenitely many solutions
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x