A survey of magazine subscribers showed that rented a car during the past months for business reasons, rented a car during the past months for personal reasons, and rented a car during the past months for both business and personal reasons. Round your answers to three decimal places. a. What is the probability that a subscriber rented a car during the past months for business or personal reasons? b. What is the probability that a subscriber did not rent a car during the past months for either business or personal reasons?
Answer:
[tex]P(business\ or\ personal) = 69.8\%[/tex]
[tex]P(Not(business\ or\ personal)) = 30.2\%[/tex]
Step-by-step explanation:
The question has missing details; however, the giving parameters are:
[tex]P(business) = 45.8\%[/tex]
[tex]P(personal) = 54\%[/tex]
[tex]P(both) = 30\%[/tex]
Solving (a): Business or Personal
This is calculated as follows:
[tex]P(business\ or\ personal) = P(business) + P(personal) - P(both)[/tex]
[tex]P(business\ or\ personal) = 45.8\% + 54\% - 30\%[/tex]
[tex]P(business\ or\ personal) = 69.8\%[/tex]
Solving (b): Not business or personal
This is calculated using complements of probability;
[tex]P(Not(business\ or\ personal)) = 1 - P(business\ or\ personal)[/tex]
[tex]P(Not(business\ or\ personal)) = 1 - 69.8\%[/tex]
[tex]P(Not(business\ or\ personal)) = 30.2\%[/tex]
5. What is the different forms of 5.39?
An investment that you bought for________ and sold for________ made a profit.
A. $700; $600
B. $600; $500
C. $700; $500
D. $600; $700
Answer:
D: $600;$700
Step-by-step explanation:
If you made a profit by selling it then you got more money in return.
Could I please have BRAINLIEST.
What is the constant of proportionality in the equation y=x/9?
0
1/9
8/9
1
Answer: B 1/9
Step-by-step explanation:
Solve for k.
(2k + 2)=(k + 5)
Answer:
k=3
Step-by-step explanation:
Move k over to the 2k side and 2 to the five 5-2=3 and 2k-k=k
k+2=5
k=3
(See pic) identify wheather the relation is a function and the correct domain
Answer:
good question
Step-by-step explanation:
3. A square has vertices (0,0),(5,2).(3,7), and (-2,5). Which of these statements is true?
A. The square's side length is 5.
B. The square's side length is between 5 and 6.
C. The square's side length is between 6 and 7.
D. The square's side length is 7
Answer:
B. The square's side length is between 5 and 6.
Step-by-step explanation:
We are given a square with vertices
A(0,0), B(5,2), C(3,7), and D (-2,5)
We solve using the Formula
√(x2 - x1)² + (y2 - y1)²
Where we have (x1, y1) and (x2, y2)
For AB
A(0,0), B(5,2)
= √(5 -0)² + (2 - 0)²
= √5² + 2²
= √25 + 4
= √29
= 5.3851648071
For BC
B(5,2), C(3,7),
= √(3 - 5)² + (7 - 2)²
= √-2² + 5²
= √4 + 25
= √29
= 5.3851648071
For A D
A(0,0),D (-2,5)
√(-2- 0)² + (5 - 0)²
= √-2² + 5²
= √4 + 25
= √29
= √5.3851648071
For CD
C(3,7), D (-2,5)
√(-2 - 3)² + (5 - 7)²
= √-5² + -2²
= √25 + 4
= √29
= 5.3851648071
The lengths of the sides of the square is equal to each other.
Therefore, the statement that is true about this square is option
B. The square's side length is between 5 and 6.
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level? I'll give brainliest if I get it right!
Answer:
12-39=x
Step-by-step explanation:
What is the exponential form of 100000
Answer:
10^4
Step-by-step explanation:
-1 3/5÷40 please answer quick!
Answer: -0.04
Step-by-step explanation:
7∣x−2∣+7=−2∣x−2∣+2
Pls answer
simplify the following y^-1z^5×y^3z^2
Answer:=y^3z^7y
Step-by-step explanation:
Question
If y varies directly as w and y = 8, when w =
2
find the equation that relates v and w.
Provide your answer below:
FEEDBACK
MORE INSTRUCTION
Content attribution
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w
2x + y = 5
4x - 2y = 6
Answer:
Assuming you want to solve for x,
x = 2
Step-by-step explanation:
2x + y = 5
Solve for y
y = 5 - 2x
4x - 2y = 6
Solve for y
y = -3 + 2x
Since both these equations equal y, they must equal each other.
Make an equation for these to equal each other.
Then solve for x
5 - 2x = -3 + 2x
+ 2x + 2x Add
5 = - 3 + 4x
+ 3 +3 Add
8 = 4x
/4 /4 Divide
2 = x
Nina owns a coffee shop. Nina has 992.4 kg of coffee.
She needs to put the coffee into bags that each hold 0.6
kg.
How many bags will be filled?
Answer:
1654
Step-by-step explanation:
divide 992.4 by 0.6
Answer:
1654
Step-by-step explanation:
divide 992.4 / 0.6
PLEASE HELPPPP
A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
a.
21,926,800
b.
2,826,800
c.
16,273,200
d.
1,790,600
Answer:
b
Step-by-step explanation:
Find the inverse for the relation.{ (-5,7), (-6, -8), (1, -2), (10, 3) }
Answer:
{(7, -5), (-8, -6), (-2, 1), (3, 10)}Step-by-step explanation:
The inverse for the relation (a, b) is (b, a).
Therefore the inverse for the relation
{(-5, 7), (-6, -8), (1, -2), (10, 3)}is
{(7, -5), (-8, -6), (-2, 1), (3, 10)}{(7, -5), (-8, -6), (-2, 1), (3, 10)} is the inverse for the relation { (-5,7), (-6, -8), (1, -2), (10, 3) }.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, few coordinates { (-5,7), (-6, -8), (1, -2), (10, 3) }
We need to find inverse relation of these coordinates.
Since, The inverse of a relation is a relation obtained by interchanging or swapping the elements or coordinates of each ordered pair in the relation.
Inverse relation in sets can be defined using the ordered pairs. The domain and range of an inverse relation can be written by swapping the domain and range of that relation. That means the domain of relation will be the range of its inverse, and the range of relation will be the domain of its inverse.
The inverse for the relation (a, b) is (b, a).
Therefore, the inverse for the relation { (-5,7), (-6, -8), (1, -2), (10, 3) } is:
{(7, -5), (-8, -6), (-2, 1), (3, 10)}
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ2
If positive integer number n has exactly 8 divisors, what is the least number of divisors can n^2 have?
Answer:
The simpler case is the number:
n = a^7, where a is prime.
We use this so we avoid having cross numbers by multipliying different prime numbers. because for example lets compare:
2^2 = 4 has 3 divisors, 4, 2 and 1.
(4*4) = 16 has the divisors: 1, 2, 4, 8 and 16. (5 divisors).
Now let's mix primes:
2*3 = 6 has 3 divisors, 3, 2 and 1.
6*6 = 36
(3*2*1)*(3*2*1) = 36
then the divisors are:
3*3, 3*2, 3*1, 2*2, 2*1, 1*1, 3*2*2, ..., etc.
You can clearly see that this has a lot more divisors than the previous case.
Then returning to the answer:
a^7 can be divided by a, a^2, a^3, ..., and by itself, a^7 (and 1, so we have exactly 8 divisors).
Now, we can write:
n^2 = (a^7)^2 = (a^(2*7)) = a^14.
By the same logic that was used above, a^14 has 14 + 1 divisors.
Then the smallest number of divisors possible is 15.
A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now?
Answer:
The daughter is 4, the father is 40
Step-by-step explanation:
If the daughter is 4 then the father is 40, 10 *4 = 40
in five years the daughter will be 9, 9 * 5 = 45
Answer:
The daughter is 4, the father is 40
Step-by-step explanation:
If the daughter is 4 then the father is 40, 10 *4 = 40
in five years the daughter will be 9, 9 * 5 = 45
2. Before you open a checking account, why might you want to figure out how many
in-network ATMs are near your home or school?
Answer:
because if there are ATMs that arent in network, then you wont have coverage for what you pay for
The pH of a substance added to a citrate buffer, y, depending on the ratio of citric acid to sodium citrate, x, can be modeled using the equation y = 6.4 – log x. If the pH of the substance is 6.5, what is the ratio of citric acid to sodium citrate?
xxxxA.0.79
B. 1.26
C. 5.59
D.7.20
It's A
Answer:
Yes it's A. 0.79
Step-by-step explanation:
You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79
Answer:
A. 0.79
Step-by-step explanation:
edge 2020
HELP!! WILL MARK BRAINLIEST!! SEE ATTACHMENT AND ANSWER THEM ALL!
Answer:
1.) yes
2.)yes
3.)no
4.)yes
5.)no
Step-by-step explanation:
Answer: yes, yes, no, yes, no
soni has 196 pencils. if she puts equal amounts of pencils into eight boxes,she has four pencils left.How many pencils does she put in the box?
which strategy could help solve this world problem?
Answer:
The answer is D) If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
Step-by-step explanation:
1. -3=
IN
2. 27 - 5.0 = -13
3. 4x - 5 = 27
4. ; +5=12
5.3(2x + 3) + 3 = -2 (2-6)
6. 102- 4 (1+4x) = -4(2-3)
Answer:
3. 4x-5=27
4x=27+5
4x=32
x=8
5. 3(2x+3)+3=-2(2-6)
(6x+9)+3=-4+12
6x+9+3=8
6x+12=8
6x=8-12
6x=-4
x=-4/6
x=-2/3
6. 102-4(1+4x)=-4(2-3)
102-4-16x=-8+12
98-16x=4
-16x=4-98
-16x=94
x=94/-16
x=6
Find mGJI
A. 15
B. 75
C. 100
D. 105
Answer: B
Step-by-step explanation:
Marks age next year will be three times jims age from 2 years ago. If the sum of their ages now is 21, how old are they? plz help, I am gonna get killed by my parents.
Answer: Mark is 14 and Jim is 7.
Step-by-step explanation: It says that next year Mark will be threee times older than Jim was 2 years ago.
The wrk is:
7-2=5(Jims age 2 years ago)
5x3=15
15-1=14(you subtract 1 because Mark's current age is 14 because it says that next year it will be 3 times Jim's)
A home builder wants 5 acres of land split into 13 equal sections. Three of these expressions give the number of acres of land each home will have. Which one does NOT? Choices:
A: 13 divided by 5
B: 5/13
C: 1/13 of 5
D: 5 divided by 13
Answer:
b 5/13
Step-by-step explanation:
The Classic Hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders of food and beverages by phone and transmits them to the kitchen and the bar at an average of 2 minutes per order. Each food order is prepared in an average of 15 minutes in the kitchen. There are five equally competent chefs in the kitchen, each of whom prepares complete orders, working in parallel. The one bartender takes 3 minutes to fill each beverage order, and works in parallel with the kitchen. When the kitchen and bar order are both ready, a waiter takes them to the room. There are eight waiters to provide the service, and each order takes 20 minutes for a waiter to put together and deliver. What is the capacity rate of each activity
Jameson is leading a fundraiser to raise money for a river cleanup event. So far, he has collected $34.16 towards his goal of $220. Jameson uses the
progress bar to chart the money collected for the fundraiser.
River Cleanup Fundraiser Progress Bar
$34.16
$0
$20
$40
$60
$80 $100 $120 $140 $160 $180 $200 $220
What value represents the midpoint of the amount of money that Jameson has not yet collected?
$92.92
$110.00
O $127.08
O $144.16
Type the correct answer in each box. Use numerals instead of words. What is the y intercept of this quadratic function f(x)=-x*2+10x-22
Answer:
Y-intercept is (0, -22)
Step-by-step explanation:
Answer:
The Y-Intercept is -22
Step-by-step explanation:
