In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind.
What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?
Answer:
30 members.
Step-by-step explanation:
Given that in a group of 100 politicians, 40 are in Party I and 60 are in Party II, and that the members of the latter Party change their minds completely randomly every day, independently of all others and also independently of all evidence, knowing that of the 60 members in Party II, 10 are in favor and 50 are against Proposition 88 and that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind, to determine the distribution of the number of members in Party II who will favor Prop 88 the following logical reasoning must be performed:
In every coin toss there is a 50% chance that it will come up heads, and a 50% chance that it will come up dry. Thus, we could affirm that each member of Party II has a 50% chance of changing their vote, that is, that an estimated half of the members will change their position. Thus, knowing that initially 10 are in favor and 50 are against Proposition 88, in case half changes their position, the 10 in favor would become 5 in favor and 5 against, and the 50 against would become 25 for and 25 against. In this way, some 30 members of Party II will favor Prop 88.
A plane with the tailwind is 500 km/h. While going against the wind it is 410 km/h. What is the speed of the plane without wind?
Answer:
45
Step-by-step explanation:
Let the plane speed be x
Let the wind speed be y
x +y= 500.....equation 1
x -y= 410........equation 2
x + y= 500
-
x- y= 410
2x= 90
x= 90/2
x= 45
From equation 1, substitute 45 for x
x + y= 500
45 + y= 500
y = 500-45
x = 455
Hence the speed of the plane is 45
Does anybody know the answer's to, 2,3, and 4?
what was the least of rows she could use?
what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by
Answer:
B. multiply by
What is 2 1/4 - 1 2/5 please help me
Answer: 17/20=0.85
Step-by-step explanation:
what is difference between point and dot
Answer:
A dot is a physical object, not a mathematical object. A dot has a size and is roughly circular, but the size is not defined. It’s a fuzzy concept; how big does it have to be before it’s no longer a dot but a blot? An how irregular can a dot be?
A point is a mathematical object in geometry. It has a position but no size. It has no definition because none of the basic objects of mathematics has a definition. The axioms of geometry give relationships between and properties of undefined terms such as point, line and plane.
Step-by-step explanation:
if I have around 9 5-day weeks or 65 days to complete 116 assignments how many assignments do I do for every 5 day week, every day, even tell me how many to do every month
Answer:
You have:
9 weeks ⇒ 116 assignments ⇔ 116/9 ≈ 13 a week9*5= 45 days ⇒ 116 assignments ⇔ 116/45 ≈ 2.6 a day2.25 months ⇒ 116 assignments ⇔ 116/2.25 ≈ 52 a monthIf you consider working weekends as well:
9*7 = 63 days ⇒ 116 assignments ⇔ 116/63 ≈ 2 a dayFor assignments to do for every 5-day week :
9 weeks = 116 assignments
∴ For every week = 116/9 = 13 assignments
________________________________
For assignments to do for every day :
9 weeks = 116 assignments
We have 5 days in 1 week
∴ 9 weeks = 9 × 5 = 45 days
∴ For every day = 116/45 = 3 assignments (approx.)
________________________________
For assignments to do for every month :
1 month = about 30 days
∴ 65 days = 2 months 5 days = 2.2 months (approx.)
∴ For every month = 116/2.2 = 52 assignments (approx.)
Solve .
- 3a + 8 = 14
Answer:
a = -2
Step-by-step explanation:
-3a + 8 = 14
First you want to combine the constants by subtracting 8 from both sides.
-3a = 6
Now you want to isolate a by dividing both sides by -3.
a = -2
Check your answer by plugging -2 back into the equation.
-3(-2) + 8 = 14
6 + 8 = 14
14 = 14
Your answer is correct.
Hope this helps!
is gemini a bad sign be honest
Answer:
it depends on the person
Answer:
yea , we are tbh , we toxic . but we kinda lovable . we dont like large spaces . and we snakes
Step-by-step explanation:
How would you determine what fraction strips with rhe same denominator would fit exactly under 1/2 & 1/3. What are they?
Step-by-step explanation:
[tex] \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{1}{6} \\ \\ \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{1}{6} [/tex]
[tex] { \boxed{{ \bold{{ \pink{e}}{ \blue{x}}{ \purple{p}}{ \green{l}}{ \red{a}}n{ \purple{a}}{ \orange{t}}{ \red{i}}on}}}}[/tex]
we equate first under the fraction (denominator)find the number of products that allow the denominators to be the samethe result that both fractions have the same denominatorAnswer DetailsLesson : MathGrade : 4#I hope this helps°^°
answer for brainliest
Laura buys an unfair coin online. The coin is supposed to land heads up 75% of the time. If this is true, what is the
probability that in 20 flips, the first 15 land heads up and the last 5 land tails up?
Answer:
C . (0.75) 15 x (0.25) 5
Step-by-step explanation:
Took the assignment in edge, it’s right
Its based off of the rule P(A and B) = P(A) x P(B) from multiplication rule for independent events.
The probability that in 20 flips, the first 15 land heads up and the last 5 land tails up is 0.000390625.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If the coin is supposed to land heads up 75% of the time, then the probability of getting heads on a single flip is 0.75 and the probability of getting tails is 0.25.
To find the probability that in 20 flips, the first 15 land heads up and the last 5 land tails up, you can use the formula for the probability of independent events:
P(A and B) = P(A) × P(B)
where A and B are independent events, and P(A) and P(B) are the probabilities of events A and B occurring, respectively.
In this case, the probability of the first 15 flips landing heads up is P(A) = 0.75¹⁵, and the probability of the last 5 flips landing tails up is P(B) = 0.25⁵.
Therefore, the probability that in 20 flips, the first 15 land heads up and the last 5 land tails up is:
P(A and B) = P(A) × P(B) = (0.75¹⁵) × (0.25⁵) = 0.000390625
Learn more about probability here:
brainly.com/question/11234923
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A standard basketball court is a rectangle with the length 94 feet and width 50 feet. How much square feet or flooring would you need to purchase in order to replace the court ?
Answer:
4700 ft
Step-by-step explanation:
Find the area (l x w)
94 x 50 = 4700 feet
DON'T FORGET UNITS
Answer:
simple ans in 90
Step-by-step explanation:
because 40 + 50 = 90
what is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)
Answer:
[tex]y + 6 = -2 (x-4)[/tex]
Step-by-step explanation:
Point-slope formula is represented by the equation [tex]y-y_1 = m (x-x_1)[/tex]. When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope of the line. Since we know the slope is -2, substitute -2 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for [tex]x_1[/tex] and -6 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)[/tex]
Answer:
y=-2x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-2(x-4)
y+6=-2(x-4)
y=-2x+8-6
y=-2x+2
Van purchased a DVD player on sale. The original selling price was $179.30. The sale price was $157.17. What is the first step in finding the percent markdown? Find the percent markdown.
Answer:
no seeeeeee hablar inglés pero quiero ayudar pero como hablas inglés no puedo lo siento pero si sabes español dime que escribiste ok
I can’t seem to get an answer on this im stuck anyone that can help
Answer:
7nmzksjsvdoasbxlwkdhaos
(SAT Prep) Find the value of x
How many inches are in 8.43 yards
Answer:303.48
Step-by-step explanation:
A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?
Answer:
20,00,00
Step-by-step explanation:
What is 3.64 as a mixed number in its simplified form
Answer:
[tex]3 \times \frac{16}{25} [/tex]
Answer:
3.64 as a mixed number is 3 and 64/100 and simplified would be 3 and 16/25Step-by-step explanation:
PLEASE HELP! ASAP PLEASE!
Answer:
4, it's an isosceles trapezoid, so sides TP and RA should be equivalent
Grace looked at the thermometer outside and saw that it read -8 °F. Which is the best description for this temperature? A-8 °F is farther away from 0 °F than 8 °F is. B-8 °F is 8° below 0°. C-6 °F is colder than -8 °F. D-8 °F is warmer than 0 °F
Answer:
-8 °F is 8° below
Step-by-step explanation:
it's negative 8 so its 8 below
f(x) = (3.x4 + 1)2
Determine the total number of roots of each polynomial function
Answer:
6
Step-by-step explanation:
a circle has a radius of 2x inches. if the radius is multiplied by a factor of 3/8. what is the new area of the circle
Answer:
(PI x 3/4x square) inches
Step-by-step explanation:
A of a circle = pi times radius squared
A = pi times 3/4x - that is 2x times 3/8
A = 3.14 (or whatever you use for pi) x 3/4 x inches square
solve each formula for the specified variable
which table represents a linear function?
Answer:
D. (2,7) (4,9) (6,11) (8,13)
Step-by-step explanation:
If you download the DESMOS app or go on their website (legit not fake) you will find that D will be a line function.
Hope this helped
person or institution who invests the money or makes the funds available.
Answer:
A person (or institution) who invest the money or makes the funds available is called the lender or creditor.
Step-by-step explanation:
Mary and Peter shared a cookie. Mary ate three tenths. Peter ate four tenths. How much is left?
Answer:
b.
Step-by-step explanation:
...
Answer:
3/10
Step-by-step explanation:
Mary ate 3/10
Peter ate 4/10
that equals 7/10
so 3/10 is left
The Question To It Is Find the length of the third side. If necessary,round to the nearest tenth
Answer:
8
Step-by-step explanation:
Using Pythagoras theorem, The missing side is equal is sqrt(10^2-6^2) = 8