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?

The slope of f(x) = x² - x + 2 at x = 3 is 6.

The limit definition of a derivative is given by:

f'(x) = lim(h->0) [f(x+h) - f(x)] / h

To find the slope of f(x) = x² - x + 2 at x = 3, we need to evaluate this expression at x = 3.

f'(3) = lim(h->0) [f(3+h) - f(3)] / h

f'(3) = lim(h->0) [(3+h)² - (3+h) + 2 - (3² - 3 + 2)] / h

f'(3) = lim(h->0) [(9 + 6h + h² - 3 - h + 2 - 9 + 3 - 2)] / h

f'(3) = lim(h->0) (6h + h²) / h

f'(3) = lim(h->0) (h(6 + h)) / h

f'(3) = lim(h->0) (6 + h)

Now we can evaluate the limit by plugging in h = 0:

f'(3) = 6 + 0 = 6

Therefore, the slope of f(x) = x² - x + 2 at x = 3 is 6.

Learn more about limit on:

https://brainly.com/question/282767

#SPJ1

Using percentages we know that the bucket which is of 460 grams is made up of 92 grams of recyclable plastic.

A% is a mathematical figure or ratio that denotes a percentage of 100.

Ratios, fractions, and decimals are some of the numerous ways to represent a dimensionless connection between two numbers.

The symbol "%" is generally written after the integer to denote percentages.

A figure or ratio that is stated as a fraction of 100 is referred to as a percentage in mathematics.

So, in the given situation we will use percentages to get what % of recyclable plastic is used as follows:

= 460/100 * 20

= 4.60 * 20

= 92 grams

Therefore, using percentages we know that the bucket which is of 460 grams is made up of 92 grams of recyclable plastic.

Know more about the percentage here:

brainly.com/question/24877689

#SPJ1

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

To know more about Intersection points visit,

https://brainly.com/question/29248863

#SPJ4

Answer:

H. 4.7

Step-by-step explanation:

Area=22

Side²=22

Side=√22

=4.69

=4.7

If you don't wanna do the calculations, just see the square of 3,4 and 5.

3²=9

4²=16

5²=25

22 is somewhere between 4² and 5².

4.7 is the answer.

Hope it helps :)

All of the following contribute to the success of incumbent members of Congress n election campaigns EXCEPT Incumbents tend to understand national issues better than do their challengers.

The term "incumbent" has several meanings depending on the context, but it generally refers to someone who holds a particular position or office. The most common usage of this term is in the context of politics, where an incumbent is the current holder of a political office, such as a president, governor, or member of Congress. An incumbent candidate is the candidate who is currently holding a political office and is running for re-election.

In other fields, the term incumbent is used to describe someone who holds a particular job, position or role and is responsible for certain tasks or duties, for example an incumbent employee, an incumbent contractor, an incumbent provider, etc.

Read more on incumbent here: https://brainly.com/question/17045847

#SPJ1

Complete question not found

The expressions, 7/3 and -7/-3 are equivalent.

-7 ÷ (-3) = -7/-3 = 7/3

Hence, two options, A and D, are correct.

The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

The compliment of 72° = 18°

The compliment of 35° = 55°

The compliment of 48.4° = 41.6°

The compliment of 65.8° = 24.2°

The compliment of 84.93° = 5.07°

Explanation:

The given angles: 72°, 35°, 48°24', 65°48', 84°56'.​

we need to do some convertion:

48°24':

24' = 24 minutes

we divide by 60 to convert from minute to degree

24' = 24/60 = 0.4°

48°24' = 48° + 0.4° = 48.4°

65°48':

48' = 48 minutes = 48/60 = 0.8°

65°48' = 65° + 0.8° = 65.8°

84°56':

56' = 56/60 = 0.93°

84°56' = 84° + 0.93° = 84.93°

The angles are: 72°, 35°, 48.4°, 65.8°, 84.93°

To get the compliment of the angles, we will subtract each of them from 90°

Compliment angles are equal to 90°

The compliment of 72° = 90-72 = 18°

The compliment of 35° = 90 -35 = 55°

The compliment of 48.4° = 90 - 48.4° = 41.6°

The compliment of 65.8° = 90 - 65.8° = 24.2°

The compliment of 84.93° = 90 - 84.93° = 5.07°

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

Learn more about population:https://brainly.com/question/30324262

#SPJ1

The cuboid has the following dimensions (A = 11 in, B = 4 in, C = 8 in, D = 4 in) and the following surface areas: Lateral: S = 264 in², Total: S' = 328 in².

In this problem we find a cuboid, whose lateral and total surface area must be found. The lateral surface area is the sum is the sum of the areas of all faces except bases and the total surface area is the sum of the areas of the six faces. The area formula needed for the surface area is the rectangle:

S = w · h

Where:

Sides

A = 11 in, B = 4 in, C = 8 in, D = 4 in

Lateral surface area

S = 2 · (11 in) · (4 in) + 2 · (11 in) · (8 in)

S = 88 in² + 176 in²

S = 264 in²

Total surface area

S' = 2 · (4 in) · (8 in) + 264 in²

S' = 328 in²

To learn more on surface areas of solids: https://brainly.com/question/31635099

#SPJ1

There is a 32.81% chance (0.3182) that there will be between 32647 and 43559 ants on a randomly chosen acre.

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. We may calculate the likelihood that the value of the measure exceeds X by subtracting 1 from the pvalue.

The zscore of a measure X in a set with mean and standard deviation may be calculated as follows:

Z= X-μ/σ

μ = 42000   σ= 12275

The pvalue of Z when X = 32647 is deducted from the pvalue of Z when X = 43559 to get this value. So

X = 43559

z= 0.13 has a pvalue of 0.5517

X = 32647

z=  -0.76 has a pvalue of 0.2236

0.5517 - 0.2236 = 0.3281

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

To know more about standard deviation visit:
https://brainly.com/question/23907081

#SPJ4

The distance from the electrician to the satellite dish is approximately 9.238 meters when rounded to the nearest whole number, which is 9 meters.

To calculate the distance from the electrician to the satellite dish, we can use trigonometry and the concept of the angle of depression.

The angle of depression is the angle formed between the line of sight from the observer (electrician) to the object (satellite dish) and a horizontal line. In this case, the angle of depression is 60°.

Given that the vertical pole is 16 m high, we can consider it as the opposite side of a right triangle. The distance from the electrician to the satellite dish will be the adjacent side of the triangle.

Using the tangent function, which is defined as the opposite side divided by the adjacent side:

tan(60°) = opposite/adjacent

tan(60°) = 16/adjacent

We can rearrange the equation to solve for the adjacent side:

adjacent = 16 / tan(60°)

adjacent ≈ 16 / 1.732

adjacent ≈ 9.238

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

Step-by-step explanation:

Draw UT                         Construction

UT = UT                         Reflexive Property

BT = EU                           Given

BU = ET                           Given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

The bolded parts are the blanks you need to fill in.

Answer:

Draw UT                         construction

UT = UT                         reflexive property

BT = EU                           given

BU = ET                           given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

hope this helps!

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

Answer: B.  |x-100| = 25

Explanation:

Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.

The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.

The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.

The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.

The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

To know more about an equation follow

https://brainly.com/question/1640242

#SPJ2

Answer:

Bryan had 400$ in his bank account before he withdraw

Step-by-step explanation:

60$ ---- 15%(set what you have)

x$ ------100%(set what you need)

(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )

x=400

Answer:

A coefficient is the number in front of the letter/variable.

A constant is just a number.

Example:

In \(6x\), the coefficient is \(6\).

But if there is no variable for example \(3\), then the constant is \(3\).

Answer:

-4

Step-by-step explanation:

The form of a liner equation is y=mx+b.  b is 0 in this example.  So we are left with y=-4x

-4 is the m, the slope.  It is also called the unit rate of change.  It tells us how much y changes for each 1x unit.  

y     x

0    0

-4    1   One unit changes y by -4 :  The unit rate of change.

-8    2

Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375

What do you mean by capital?

Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.

A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.

Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375

So, Total assets= £10,375

Payable=  £1,600, loan from Rub= £2,500, Balancing figure= £6,275

Total liabilities= £10,375

To learn more about capital from the given link

https://brainly.com/question/29548445

#SPJ1

Answer:

Reproduction in Gymnosperms: Gymnosperms are heterosporous and sexual reproduction is oogamous type. In living gymnosperms the reproductive structures are arranged in the form of strobili or cones (except the ovulate structures of Cycas).

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I just guessed and check :)

But if you recheck my answer it's correct!

Angela: 10 years

Cat: 10 months

In 1 year:

Angela: 11 years

Cat: 22 months

I hope this helps!

Answer:

I think Angela is 10 years old today.

Answer:

You've got it right. Unless its because the answer is negative.

Step-by-step explanation:

i'm sorry, hope this helps

Answer:

\(p ≤6\)

Step-by-step explanation:

Inequality: \( - 4p +36 ≥2p\)

Collect like terms

→ \( - 4p - 2p≥ - 36\)

→ \( - 6p≥ - 36\)

Divide both sides by -6

→ \( \frac{ - 6p}{ - 6}≤\frac{ - 36}{ - 6} \)

Therefore: \(p ≤6\)

Answer:

D

Step-by-step explanation:

it is d because 28 and 32 =60 like your expression