PLS SOLVE THESE QUESTIONS WITH EXPLAINATION

When two players A and B alternately flip a fair coin, the probability  E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).

We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).

\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)

As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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A table that shows the length and width of at least 3 different rectangles is shown below.

All the rectangles have the same perimeter.

An equation to represent the relationship is x + y = 18.

The independent variable is length and the dependent variable is width.

A graph of the points is shown in the image below.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(x + y)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

36 = 2(x + y)

18 = x + y

Length       Width     Perimeter

10                   8              36

14                   4              36

15                   3              36

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Answer:

jnoioikop

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Hahahahahahhahahahhahaha

The conclusion results in a Type I error.

To determine whether the conclusion results in a Type I error, a Type II error, or a correct decision, we need to analyze the given information.

In this scenario, the test is conducted to compare a hypothesized population mean, denoted as μ, with a specific value of 58. The null hypothesis (H₀) states that μ is equal to 58, while the alternative hypothesis (H₁) suggests that μ is not equal to 58.

A significance level, denoted as α, is set at 0.05, which means that the researcher is willing to accept a 5% chance of making a Type I error - rejecting the null hypothesis when it is actually true.

The test statistic, z, is calculated to assess the likelihood of the observed data given the null hypothesis. In this case, the test statistic value is z = -2.14.

Since the test statistic is negative and falls in the rejection region of a two-tailed test, we can compare its absolute value to the critical value for a significance level of 0.05.

Looking up the critical value in the standard normal distribution table, we find that for a two-tailed test with α = 0.05, the critical value is approximately 1.96.

Since |z| = |-2.14| = 2.14 > 1.96, we have sufficient evidence to reject the null hypothesis.

Now, if the true value of μ is actually 58, and we reject the null hypothesis that μ = 58, it means we have made a Type I error - concluding that there is a difference when, in reality, there is no significant difference.

Therefore, the conclusion in this case results in a Type I error.

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Answer:

( 2, - 1 )

Step-by-step explanation:

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center of a circle with radius r

~~~~~~~~~

x² + y² - 4x + 2y - 11 = 0

( x² - 4x + 4 ) - 4 + ( y² + 2y  + 1 ) - 1 - 11 = 0

( x - 2 )² + ( y + 1 )² = 4²

Coordinates of the center of a circle are ( 2, - 1 )

Answer:

15

Step-by-step explanation:

Use the distance formula

d = distance

\(d=\sqrt{(10-1)^2 + (-4 - (8))^2\\\)

Solve the equation to get the following:

\(d=\sqrt{9^2 + (-12)^2}\)

\(d = \sqrt{81+144\)

\(d=\sqrt{225\)

\(d = \sqrt{15\)

the probability that at most 3 complaints will be received during the next 4 hours is 0.2381 or approximately 23.81%.

Let X be the number of complaints received in 4 hours. Then X follows a Poisson distribution with mean λ = 0.5 complaints/hour × 4 hours = 2 complaints.

To find the probability that at most 3 complaints will be received during the next 4 hours, we can use the Poisson probability formula:

P(X ≤ 3) = e^(-λ) * [λ^0/0! + λ^1/1! + λ^2/2! + λ^3/3!]

P(X ≤ 3) = e^(-2) * [1/1 + 2e^(-2)/1! + 4e^(-2)/2! + 8e^(-2)/3!]

P(X ≤ 3) = 0.2381

what is number?

A number is a mathematical object used to quantify and measure things. It can be used to represent quantities such as size, amount, distance, time, and many other things. Numbers can be integers, fractions, decimals, or irrational numbers, and they can be positive, negative, or zero. In mathematics, numbers are used to perform calculations and solve problems in various fields such as science, engineering, economics, and more.

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Answer:

SAS

Step-by-step explanation:

∠CBA ≌ ∠DBA are equal by SAS

The zeros of the polynomial P(x) are x = 1/2, x = -3, x = -1, and x = 2. These are the values of x that make P(x) equal to zero.

To find the zeros of the polynomial P(x), we need to set it equal to zero and solve for x:
(2x - 1)(x+3)(x+1)(x-2) = 0

We know that a product of factors equals zero if and only if at least one of the factors is equal to zero.

Therefore, we can set each factor equal to zero and solve for x:
2x - 1 = 0  or  x+3 = 0  or  x+1 = 0  or  x-2 = 0

Solving each of these equations, we get:
2x - 1 = 0  -->  x = 1/2
x+3 = 0  -->  x = -3
x+1 = 0  -->  x = -1
x-2 = 0  -->  x = 2

Therefore, the zeros of the polynomial P(x) are x = 1/2, x = -3, x = -1, and x = 2. These are the values of x that make P(x) equal to zero.

We can also see from the factored form of the polynomial that each factor corresponds to a root or zero of the polynomial.

The factor (2x - 1) corresponds to the root x = 1/2, the factor (x+3) corresponds to the root x = -3, the factor (x+1) corresponds to the root x = -1, and the factor (x-2) corresponds to the root x = 2.

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a' is factoring out from the \(ax^2+bx\)

The correct option is (2)

Here is the some steps from the question:

Step 1: –c = \(ax^2 + bx\)

Step 2: -c = \(a[x^2+\frac{b}{ax} ]\)

The best explains or justification of step 2:

=> 'a' is taken out common from \(ax^2+bx\) .

When we take out 'a' we divide each term by 'a'. so it becomes :

\(a[x^2+\frac{b}{ax} ]\)

Hence, 'a' is factoring out from the \(ax^2+bx\)

So, We can call the 'factoring the binomial'

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The given question is incomplete, complete question is:

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which best explains or justifies Step 2?

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

The missing sides and angles of the triangle are

1. . A = 45 degrees.

2. B = 45 degrees.

3. BC = 3 and AB = 3 sqrt (2).

4. BC = 4 and AB = 4 sqrt (2).

5. BC = 9, then AB = 9 sqrt (2).

6. AB = 7V2, then BC = 7 .

7. If AB = 2√2, then AC = 2.​

An Isosceles Right Triangle is an angular design in the shape of a right triangle comprising two equal sides - forming congruent legs, and additionally, the third side (also known as the hypotenuse = c) being longer in length.

In this particular angle, the two legs are congruent to each other as well as proportional to the square root of two times one leg's length.

Mathematically, using Pythagoras' theorem

c^2 = a^2 + a^2

c^2 = 2a^2

Eventually, by taking the square root of both expressions, we obtain:

c = sqrt (2a^2)

c = a * sqrt (2)

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Answer:

ratios, fractions, statistics, and percentage increase or decrease.

Step-by-step explanation:

Answer:

The answer is 5.05

Step-by-step explanation:

Let the number be x,

5/9 = 0.56

Now,

x × 11/100 = 5/9

x = 5 × 100 ÷ 9 × 11

x = 500/99

x = 5.05

Thus, The number is 5.05

-TheUnknownScientist 72

Answer:

Plus all the fractions together .

Which equals to 35/4 cm

Step-by-step explanation:

hope it helps you !!

The perimeter of the quadrilateral is P = 8 3/4 cm

Given data:

The perimeter of a quadrilateral is the sum of the lengths of all its sides. A quadrilateral is a polygon with four sides. The formula for finding the perimeter of a quadrilateral depends on the specific type of quadrilateral.

So, the sides of the quadrilateral is represented as:

AB = 3 1/2 cm

BC = 2 cm

CD = 1 4/5 cm

DA = 1 9/20 cm

So, the perimeter is P = 3 1/2 cm + 2 cm + 1 4/5 cm + 1 9/20 cm

On simplifying ,

P = 3.5 cm + 2 cm + 1.8 cm + 1.45 cm

P = 8.75 cm

Hence , the perimeter is P = 8 4/3 cm

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Answer:

I beleive the new stage would be 50 meters wide

Step-by-step explanation:

I took the quiz on ed

Answer:

30

Step-by-step explanation:

You take a protractor and put at c then you measure

Answer:

Dali Lang po Yan Kaya mopo yan

The dividend in the formula P3 = Dx/(R - g) is for period e. three.

In the given formula P3 = Dx/(R - g), the dividend, Dx, refers to the cash flow or payment made during a specific period. The subscript "3" in P3 indicates the period of time for which the dividend is associated.

In the given formula, P3 = Dx/(R - g), the subscript 3 represents the period of time for which we are calculating the dividend.

The dividend, Dx, represents the cashflow or payment made during a specific period. In this case, the dividend is associated with period 3.

Therefore, the dividend in the formula corresponds to period e. three.

The dividend in the formula P3 = Dx/(R - g) is for period e. three

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The required probability is 5/285.

Given that,

Number of blue marbles  = 6

Number of red marbles    = 6

Number of black marbles = 6

Use the conditional probability formula to determine the probability of drawing three blue marbles in a row without replacement.

Since there total 20 marbles,

Therefore,

The probability of drawing one on the first draw = 6/20

Since there are now only 5 blue marbles left out of a possible total of 19,

Assuming the first draw was a blue marble,

The probability of drawing another blue marble = 5/19.

The probability of drawing a third blue marble    = 4/18

(because there are now only 4 blue marbles left out of a total of 18 marbles),

Given that the first two draws were blue marbles.

Thus, with no replacement, the  probability  of drawing 3 blue marbles in a row is,

= (6/20) (5/19) (4/18)

= 5/285.

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Answer:

80

Step-by-step explanation:

add 60 plus 4o then subtracted from 180

Answer:

x = 100°

Step-by-step explanation:

40 + 60 =

100

Hope this helps!

Please mark as brainliest.

a = -9, b = 24, and c = -16, the coordinates of point B are (4/3, 0), and there are no values of k for which f(x) = k has ONLY negative roots.To show that a = -9, b = 24, and c = -16

The general form of a quadratic equation is:

f(x) = \(ax^2 + bx + c\)

Comparing this with the provided information, we can deduce that a = -9, b = 24, and c = -16.

Now, let's move on to calculating the coordinates of point B.

The coordinates of a point on a graph can be represented as (x, y). In this case, we are looking for the coordinates of point B.

To calculate the x-coordinate of point B, we can use the formula:

x =\(-b / (2a)\)

Substituting the values, we have:

x =\(-24 / (2 * -9) = -24 / -18 = 4/3\)

So the x-coordinate of point B is 4/3.

To calculate the y-coordinate, we substitute the x-coordinate into the quadratic equation:

\(f(4/3) = -9(4/3)^2 + 24(4/3) - 16\)

Simplifying the expression:

\(f(4/3) = -16 + 32 - 16 = 0\)

Therefore, the y-coordinate of point B is 0.

Hence, the coordinates of point B are (4/3, 0).

Moving on to determining the value(s) of k for which f(x) = k has ONLY negative roots, we need to consider the discriminant of the quadratic equation.

The discriminant, denoted by Δ, is given by:

Δ =\(b^2 - 4ac\)

In this case, a = -9, b = 24, and c = -16. Substituting the values:

Δ = \(24^2 - 4(-9)(-16) = 576 - 576 = 0\)

Since the discriminant is equal to zero, this indicates that the quadratic equation has only one root or repeated roots. Therefore, there are no values of k for which f(x) = k has ONLY negative roots.

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It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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The green square in the middle of the interval represents the sample mean, x-bar, computed from 20 observations.

In statistics, a confidence interval is a range of values that estimates the true value of a population parameter with a certain level of confidence. In this case, we are estimating the mean of a population using a sample.

When we draw a sample of size 20 from the population and calculate the sample mean, x-bar, we get a single estimate of the population mean. The green square represents this estimate, which is the average of the 20 observations in the sample.

It's important to note that the sample mean is an estimate of the population mean, not the exact value. The confidence interval provides a range of values within which the true population mean is likely to fall. The width of the interval represents the precision of the estimate, with a narrower interval indicating higher precision.

To summarize, the green square in the middle of the interval represents the sample mean, x-bar, computed from 20 observations. It is an estimate of the population mean, not the exact value, and is part of the confidence interval that provides a range of values for the true population mean.

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Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an exponential equation.

General form of an exponential function:

 \(f(x)=ab^x\)

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

\(f(x)=1000000(0.978)^x\)

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

\(\implies f(10)=1000000(0.978)^{10}=800500.1586\)

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

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The probability of a radiation measurement of 599 or higher from a mountain known to have terrorists, assuming no nuclear danger, is about 0.0668.

We are given that the radiation levels observed by the satellite are normally distributed with a mean of 490 and a variance of 2916. We want to find the probability of a random radiation measurement being 599 or higher, assuming there is no nuclear danger.

First, we need to standardize the radiation level of 599 using the formula:

z = (x - mu) / sigma

where x is the radiation level, mu is the mean, and sigma is the standard deviation. Substituting the values we have:

z = (599 - 490) / √(2916) = 1.5

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score of 1.5 or higher. The table or calculator will give us the area under the standard normal curve to the right of 1.5.

Using a calculator, we can find this probability as follows:

P(Z > 1.5) = 0.0668 (rounded to four decimal places)

Therefore, the probability of a random radiation measurement being 599 or higher is approximately 0.0668, assuming there is no nuclear danger.

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Answer:

\(46 + 14\sqrt6\)

Step-by-step explanation:

Hello!

Multiply by distributing:

The final answer is 46 + 14√6

The manufacturer would lose a total profit of $100,000 and a per-unit profit of $10 by producing 70,000 units instead of the demanded 80,000 units.

To calculate the total profit and per-unit profit lost, we need to consider the difference between the actual production and the demand, as well as the profit per unit.

Let's assume the profit per unit is $10.

The manufacturer produces 70,000 units, but the demand is for 80,000 units, resulting in a shortage of 10,000 units.

Total profit lost = shortage * profit per unit = 10,000 * $10 = $100,000

Therefore, the total profit lost in this scenario is $100,000.

To calculate the per-unit profit lost, we divide the total profit lost by the shortage:
Per-unit profit lost = total profit lost / shortage = $100,000 / 10,000 = $10

Therefore, the per-unit profit lost in this scenario is $10.

By understanding the difference between the actual production and the demand, as well as the profit per unit, we can determine the total profit and per-unit profit lost when producing fewer units than the demand.

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The equation of the line passing through the two given points in slope-intercept form is: y = (-5 / 6)x - 1/6

To find the equation of the line passing through the two given points (–6, 1) and (6, –9) in slope-intercept form, we need to first find the slope of the line.

The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\(m = (y_2 - y_1) / (x_2 - x_1)\)

Substituting the values of the given points, we get:

m = (-9 - 1) / (6 - (-6))

m = -10 / 12

m = -5 / 6

Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find its slope-intercept form. The point-slope form of a line passing through a point \((x_1, y_1)\) with slope m is given by:

\(y - y_1 = m(x - x_1)\)

Substituting the values of the slope and one of the given points (–6, 1), we get:

y - 1 = (-5 / 6)(x - (-6))

y - 1 = (-5 / 6)(x + 6)

Simplifying this equation, we get:

y = (-5 / 6)x - 1/6

Therefore, the equation of the line passing through the two given points in slope-intercept form is: y = (-5 / 6)x - 1/6

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Answer:

option 1 4+1.50r<25 is the answer