Answer:
0.4
Step-by-step explanation:
hope this helps!
People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below:
Pink Lemonade: 156 males, 72 females
Yellow Lemonade: 104 males, 48 females
Answer
Step-by-step explanation:
You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.
Pink Lemonade Yellow Lemonade TOTAL
Male 156 104 260
Female 72 48 120
TOTAL 228 152 380
P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6
P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6
Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6
Independents events are events that can happen independently on their own. Events A and B are independent if P(A|B) = P(A).
The "prefer pink" event and "female" event are independent because [tex]P(P|F) = P(P) = 0.6[/tex]
To do this, we make the following representations:
[tex]P \to[/tex] Pink Lemonade
[tex]Y \to[/tex] Yellow Lemonade
[tex]M \to[/tex] Male
[tex]F \to[/tex] Female
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
[tex]P(P|F) \to[/tex] the probability that a selected person prefers pink provided that the person is female
[tex]P(P) \to[/tex] the probability that a selected person is female
P(P| F) is calculated as:
[tex]P(P| F) = \frac{n(P\ n\ F)}{n(F)}[/tex]
i.e. the number of females who prefers pink divided by the number of females
From the table, we have:
[tex]n(P\ n\ F) = 72[/tex]
[tex]n(F) = 72 + 48 =120[/tex]
So, the probability is:
[tex]P(P| F) = \frac{72}{120}[/tex]
[tex]P(P| F) = 0.6[/tex]
[tex]P(P)[/tex] is calculated as:
[tex]P(P) = \frac{n(P)}{Total}[/tex]
i.e. the all people who prefer pink divided by total number of people
From the table, we have:
[tex]n(P) = 156 + 72 = 228[/tex]
[tex]Total = 156 + 72 + 104 + 48 = 380[/tex]
So, the probability is:
[tex]P(P) = \frac{228}{380}[/tex]
[tex]P(P) = 0.6[/tex]
Recall that:
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
And we have:
[tex]P(P| F) = 0.6[/tex]
[tex]P(P) = 0.6[/tex]
Hence, the events are independent because:
[tex]P(P|F) = P(P) = 0.6[/tex]
Option (a) is correct
Read more about independent events at:
https://brainly.com/question/12543071
A blue print for a house has a scale of 1 in: 5feet The living room has a length of 25 inches and a width of 3 inches what is the actual area of the living room
Answer: 1875 square ft
Step-by-step explanation:
Ratio: 1 in: 5ft
Living room length: 25in=125ft
Living room width: 3in=15ft
125x15= [tex]1875^{2} ft\\[/tex]
are you smarter than a 7th grader get your answers by answering this question please please please please please
Answer:
F
Step-by-step explanation:
8 - (2-3) -1 = 8
6 - (-2) = 8
8-(2-3)-1=6-(-2)
Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he breaks it into smaller parts using place value to make it easier to multiply. Use the drop-down menus to show the area of each part.
Answer:
300, 120, 80 and 32 respectively.
Step-by-step explanation:
To break it down for easy multiplication, write
38 as 30 + 8
14 as 10 + 4
Now let's multiply
(30 + 8)(10 + 4) = 300 + 120 + 80 + 32
So the areas of each part would be
300, 120, 80 and 32 respectively.
solve for c: 2(c - 6) = 9c + 2
Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?
Answer:
4.8 smaller pieces
Step-by-step explanation:
Total length of wood = 3.6 feet
Length of each piece = 0.75 feet
How many smaller pieces will they be able to make?
Number of smaller pieces of wood = Total length of wood / Length of each piece
= 3.6 feet / 0.75 feet
= 4.8 smaller pieces
Number of smaller pieces of wood = 4.8
if an object has a density of 6.g/mL and you put it into water, will it sink or float?
Step-by-step explanation:
If an object has a higher density than the fluid it is in (fluid can mean liquid or gas), it will sink. If it has a lower density, it will float. Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density.
what is "The temperature outside at 6 a.m. is 4 degrees celsius. The temperature rising by 1.5 degrees celsius every hour." in a mathematical equation!! please help
Answer:
7 a.m is 5.5
Step-by-step explanation:
(6=4)+1.5=(_+1.5)
make a T chart
thats how it should work for you
7.
After determining the number of T-shirts and caps to purchase, the senior
class officers forgot to include shipping costs. The fabric textile company
charges shipping and handling fees according to the number of T-shirts and
caps purchased
One of the class officers writes the function f(n) = 20n + 275, where n is the
number of T-shirts purchased, and f(n) is the amount of money available to
spend on caps.
Which description does 20 represent in the class officer's function? Select all
that apply.
A. the shipping cost
B. the cost per T-shirt
C. the rate of change in the graph
D. x-intercept
Ey-intercept
Answer:
B
Step-by-step explanation:
HELP!!! 15 POINTS!!!!
Answer:
Nothing
Step-by-step explanation:shahhahhahahahhaha
Right triangle JKL is shown below.
What is the measure of
nearest degree.
Answer:
Step-by-step explanation:
Hypotenus=6
Adjacent=4
H and A
Cos x degrees= A divided by H
4 divided by 6=0.666666666
cos inverse(0.6666666666666666)
=48.2
=48
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students left 1395 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.
Step-by-step explanation:
Given: Total seats = 3100
Seats vacant= 1395
Seats occupied by 6th graders = 3100-1395 = 1705
The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]
[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]
Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.
PLEASE HELP IT IS EASY!!!!!!!!!!!!!! I HAVE AN EXAM!!!!!!!!!!!!!!! A student took 75 minutes to answer a combination of 30 multiple-choice and extended-response questions. She took 2 minutes to answer each multiple-choice question and 5 minutes to answer each extended-response question.
Determine which two equations best represent the situation given that R represents the number of extended-response questions and M represents the number of multiple-choice questions.
Determine the number for each type of question on the test.
Answer:
M+R=30
2M+5R=75
R=5
M=25
Step-by-step explanation:
-2(M+R=30)
2M+5R=75
-2M-2R=-60
2M+5R=75
__________
3R=15
R=5
2M+5(5)=75
2M+25=75
2M=50
M=25
What is 5+5x•40 if x equals 5
I need help with number 11 just the answers no need to show work!
looking at the graph what does the y intercept tell you about the puppies in the litter? help me
Jacob stated that he solved the equation 2x+3=5 using addition and multiplication property of equality. Which statement is true?
A. Jacob added -3 to both sides and multiplied both sides by 1/2
B. Jacob added -3 to both sides and multiplied both sides by 2
C. Jacob added 3 to both sides and multiplied both sides by 1/2
D. Jacob added 3 to both sides and multiplied both sides by 2
Answer:
It is A.
Step-by-step explanation:
It shows the steps that distribute everything properly
WHOEVER ANSWERS IT WILL GET BRAINIST ASAP DUE IN 5 MINUTES
Answer:
D
Step-by-step explanation:
Plz help I make u brainliest
Answer:
1. you got it dude
Step-by-step explanation:
..............
Answer:i believe the answer is 23
Please answer correctly. I will give you the brainliest and 15 points!!! plzzzzzzzzzzzzz need ASAP
Which of these is not a possible r-value?
Answer:
D
Step-by-step explanation:
A value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. Therefore, it is not D
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. One-third c. StartFraction 1 Over 7 EndFraction b. StartFraction 1 Over 11 EndFraction d. StartFraction 3 Over 14 EndFraction
Answer: The answer would be the favorable out some (how many blues) over the total outcomes (all marbles added together)
So the answer would be 3/14 or 21%
NEED HELP ASAP DONT HAVE TIME PLSSS Mr and Mrs. Neal want to repaint the outside of their house. To get the specific shade of green that they want the salesperson at the hardware store needs to mix green paint and white paint in the ratio of 7:2. How many gallons of white paint will the salesperson need if she uses 14 gallons of green paint? 0 49 4 0 1 hing O 28
Answer:
Your answer is 4
Step-by-step explanation:
because if it’s a 7:2 ratio and you have 14 gallons of green paint then you will need 4 gallons of white paint.
Answer:
4 gallons of white paint
Step-by-step explanation:
If the ratio of the mix is 7:2, then all you need to do is multiply both sides by 2 and you get the ratio of 14:4
The salesperson will need 4 gallons of white paint
And 14 gallons of green paint
Which is an equation?
Answer:
c
Step-by-step explanation:
because it has an equal sign
Answer:
C
Step-by-step explanation: becuase it has an equal sign
For addition, drag tiles onto the board.
To form a group. place one tile on top of another.
Which expressions have the same solution as -4(6)?
Check all that apply.
-4-6)
O 4(-6)
O 6(-4)
-8(2)
O 12(-2)
Board sum: 0
what is the equation of the line
Answer:
x=3
Step-by-step explanation:
No matter what happens to the y value, x always stays on the number 3, so y does not matter for this equation, it is simply x=3.
Answer:
simply x=3
Step-by-step explanation:
For the algebraic equation, select the property or properties that could be used to solve it.
-7(2x -5) = -49
Group of answer choices
Addition or Subtraction Property of Equality
Multiplication or Division Property of EQuality
Distributive Property
Commutative Property
Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest
what is a simplified fractional eqeuvilent of a teminating decimal .68
Answer:
17/25
Step-by-step explanation:
0.68 is read as "sixty-eight hundredths."
Write sixty-eight hundredths as a fraction: 68/100
Now we reduce 68/100.
68/100 = 34/50 = 17/25
Answer:
17 /25
Step-by-step explanation:
0.68
is the same as
6
10
+
8
100
=
68
100
68
÷
4
100
÷
4
=
17
25
As 17 is a prime number we stop at this point. srry if this in not correct
1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
can someone help me !
Angle 1 and Angle 3
This is because the two angels are congruent due to the consecutive angles theorem,
