a coach can hold 50 people how many coaches would be needed for 830 people?

0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = \(^{10}C_3p^7q^3\)

or, P ( x = 3) = \(^{10}C_3(0.5)^7(0.5)^3\)

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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Answer:

Step-by-step explanation:

there u go!!

The segments of AB in the circle are equal to the corresponding segments of CD.

In geometry, a chord of a circle is a straight line segment whose endpoints lie on the circle. The chord does not necessarily pass through the center of the circle.

To prove this, we can draw two perpendiculars from point P to the chords AB and CD,

Let's label the points where the perpendiculars meet the chords as E and F, respectively. By the intersecting chords theorem, we have:

AE × BE = CE × DE

And

PE × EF = FE × PD

Since AB and CD are equal chords, we have:

AE = CE

BE = DE

CF = DF

Also, since the perpendiculars from point P are equal in length, we have:

PE = PF

Substituting these values into the equations above, we get:

AE × BE = CE × DE

AE × (AE + EF) = CE × (CE + EF)

AE²+ AE × EF = CE² + CE × EF

AE² - CE² = CE × EF - AE × EF

(AE + CE) × (AE - CE) = EF × (CE - AE)

AB × EF = CD × EF

Since EF is common to both sides, we can divide both sides by EF, and we get:

AB = CD

Therefore, the segments of AB are equal to the corresponding segments of CD, as required.

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The complete question is:

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the center makes equal angles with the chords.

Answer:

25

Step-by-step explanation:

Nolan gains 5 feet every 5 seconds.

therefore he moves 1 foot (faster) each second.

it will take 25 seconds.

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

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Therefore, the solution to the system of linear equations is: x₁ = -5, x₂ = 11, x₃ = -18.

To solve the system of linear equations:

3x₁ + 2x₂x₃ = 10

-x₁ + 3x₂ + 2x₃ = 5

x₁ - x₂ - x₃ = -1

We can use various methods such as substitution, elimination, or matrix methods. Here, we'll use the elimination method.

Step 1: Multiply the second equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

-(3x₁ - 9x₂ - 6x₃ = 15)

-7x₂ - 4x₃ = -5 (Equation A)

Step 2: Multiply the third equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

(3x₁ - 3x₂ - 3x₃ = -3)

-x₂ - x₃ = 7 (Equation B)

Step 3: Add Equation A and Equation B:

-7x₂ - 4x₃ = -5

+(-x₂ - x₃ = 7)

-8x₂ - 5x₃ = 2 (Equation C)

Step 4: Multiply Equation B by 8 and subtract it from Equation C:

-8x₂ - 5x₃ = 2

+8x₂ + 8x₃ = -56

3x₃ = -54

Step 5: Solve for x₃:

x₃ = -54/3

x₃ = -18

Step 6: Substitute the value of x₃ back into Equation B to solve for x₂:

-x₂ - x₃ = 7

-x₂ - (-18) = 7

-x₂ + 18 = 7

-x₂ = 7 - 18

-x₂ = -11

x₂ = 11

Step 7: Substitute the values of x₂ and x₃ into Equation A to solve for x₁:

-7x₂ - 4x₃ = -5

-7(11) - 4(-18) = -5

-77 + 72 = -5

-5 = -5

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The circumference of a circle: C = 67.98 cm

Radius of the circular lawn, which is difference between outer radius of  path and inner radius of path.

outer radius:  \(r1 = (132 + 2T)/2 = (132 + 2(22))/2 = 88 ft\)

inner radius:  \(r2 = 132/2 = 66 ft\)

radius of circular lawn is r = r1 - r2 = 22 ft

Now using formula for the area of a circle:

A = πr^2 = π(22^2) ≈ 1520.53 ft^2

To find the circumference of a circle with area 367 cm^2, we can use the formula for the area of a circle to find the radius:

\(A = \pi r^2 \\r^2 = A/\pi = 367/\pi\)

r ≈ 10.80 cm

Then we can find the circumference using the formula for the circumference of a circle:

C = 2πr ≈ 2π(10.80) ≈ 67.98 cm

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Answer:

|3x+4| +6

Step-by-step explanation:

f(x) = |3x+4| +2

g(x) =4

f(x) + g(x) =  |3x+4| +2 +4

               =  |3x+4| +6

Answer:

1 time

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

The statement "(dbl num, 2)" does not correctly represent rounding the value of "dbl num" to two decimal places. The correct notation for rounding a number to two decimal places is typically represented as "round(dbl num, 2)" or "dbl num rounded to 2 decimal places."

:)

Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Answer:

712,402,207

Step-by-step explanation:

;)

Answer: 711,142,207

Step-by-step explanation:

A semicircle rotated around its axis gives sphere, rectangle  rotated around its axis gives sphere . and a right triangle  rotated around its axis gives sphere

what is rectangle?

A rectangle is a four-sided flat shape with straight sides and four right angles. It is a type of parallelogram, with opposite sides equal in length and parallel to each other. The area of a rectangle can be calculated by multiplying its length and width, while its perimeter can be found by adding the lengths of all four sides.

In the given question,

A semicircle rotated around its axis gives sphere,

A  rectangle  rotated around its axis gives sphere .

A right triangle  rotated around its axis gives sphere

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The total number of reptile/fish pets written in scientific notation is 1.6*10^8

We know that there are estimates to be:

Notice that all these numbers writen in scientific notation, and we need to add them.

To add them, the exponent in the 10 must be equal in both numbers, so we can rewrite:

1.5*10^8 = 150*10^6

Now we can add these two to get:

150*10^6 + 9.5*10^6 = 159.6*10^6

Now to write this as scientific notation, we need to have only one digit on the left side of the decimal point, so we can rewrite this as:

159.6*10^6 = 1.596*10^8

Rounding this to two decimal places we will get:

1.596*10^8 = 1.6*10^8

So there are 1.6*10^8 pet fish and pet reptile in the US.

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Answer: 60

Step-by-step explanation:  if it takes her 5 hours to make 30 bows, then in 10 hours it will taker 60

Step-by-step explanation:

people to have the hospital and they will have to give her 60bowls

G. One sample t-test for a proportion.

E. Two sample t-test for means independent.

A. In scenario 1, the nutrition major is interested in comparing the mean IQ scores of two groups: those who like Ovaltine and those who don't. Since the sample size of the group who don't like Ovaltine is small (n=5), it's not appropriate to use a z-test. Instead, a one-sample t-test for a mean can be used to compare the mean IQ scores of those who like Ovaltine to a hypothesized population mean (which could be the population mean IQ score, assuming that Ovaltine preference doesn't affect IQ).

B. In scenario 2, the engineering major is interested in comparing the means of two independent groups (oak wood beams and elm wood beams) with equivalent standard deviations. Since the sample sizes are both 50 and the standard deviation of the population is unknown, a two-sample t-test for means can be used to compare the means of the two groups.

C. In a matched pairs difference in means scenario, each subject in a sample is paired with another subject based on some characteristic that affects the outcome of the study (such as age, weight, or gender). In this scenario, the difference in scores between each pair of subjects is calculated, and a one-sample t-test can be used to determine whether the average difference between the two groups is statistically significant.

D. In a two-sample z-test for means scenario, the researcher is interested in comparing the means of two independent groups with known population variances. This type of test is rarely used in practice since population variances are usually unknown.

E. In a two-sample t-test for means independent scenario, the researcher is interested in comparing the means of two independent groups with unknown population variances. This is the most commonly used test for comparing the means of two independent groups.

F. In a one-sample z-test for a proportion scenario, the researcher is interested in testing whether a sample proportion is significantly different from a hypothesized population proportion.

G. In a one-sample t-test for a proportion scenario, the researcher is interested in testing whether a sample proportion is significantly different from a hypothesized population proportion when the sample size is small and/or the population variance is unknown.

H. In a two-sample z-test for the p1-p2 scenario, the researcher is interested in comparing two proportions in two independent groups with known population variances.

I. If none of the above tests are appropriate for a particular scenario, then another type of test (such as a chi-square test or ANOVA) may be needed.

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Answer:

-2

Step-by-step explanation:

6(7b + 4) = -60

First you have to foil and then that would be:

42b + 24 = -60

Subtract 24 from the left side

42b = -84

Divide both sides by 42

b = -2

The system of the equations are:

y = 10 + 4x

y = 25 + x

The height of tree is 30 inches tall.

The graph is given below.

The solution is (5, 30).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation

We have,

Maple tree:

The maple tree that is 10 inches tall is

growing 4 inches per month,

This can be written as,

y = 10 + 4x _____(1)

Where y is the height of the tree.

Oak tree:

The oak tree is 25 inches tall and is growing 1 inch per

month.

This can be written as,

y = 25 + x ______(2)

Where y is the height of the tree.

Now,

From (1) and (2),

In a few months, the two trees will be the same height.

So,

10 + 4x = 25 + x

4x - x = 25 - 10

3x = 15

x = 5

Now,

y = 10 + 4x = 10 + 4 x 5 = 10 + 20 = 30

y = 25 + x = 25 + 5 = 30

Thus,

The height of tree is 30 inches tall.

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Answer:

We know that:

Each mechanic can change the oil of 3 cars per hour.

The number of mechanics can change between 0 and a maximum of 4.

Then we can write the variable:

Y = number of oil changes per hour.

Y = 3*X

Where X is the number of mechanics working.

The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.

Now, the domain will be: {0, 1, 2, 3, 4}

The possible numbers of mechanics working at the same time.

And for the range we must replace those values in our equation, and see the possible values of Y.

Y(0) = 3*0 = 0

Y(1) = 3*1 = 3

Y(2) = 3*2 = 6

Y(3) = 3*3 = 9

Y(4) = 3*4 = 12

Then the range is: {0, 3, 6, 9, 12}

Answer:

6,562.5 miles

Step-by-step explanation:

The proportion is 1,875 miles/1 hour.

At that speed, the distance can be calculated when the time is known, which is 3.5 hours in this case:

  (1,875 miles/hr)*(3.5 hr) = 6562.5 miles

Answer:

270

Step-by-step explanation:

1080*1/4 is the same as 1080/4 which is 270

Answer:

The answer is C

Step-by-step explanation:

If you cancel the common factor of 4.

Rolle's Theorem has the following conditions:

f(x) must be continuous in [a,b]

f(x) must be differentiable in (a,b)

f(a) = f(b)

What is rolle's theorem?

Following are the prerequisites for Rolle's Theorem:

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Answer:

A

Step-by-step explanation:

T o show the inverse, the output becomes the input

The input is the output

The input is 2,4,6,8

The output is 1,3,5,7

They will also be in the same order so 1 went to 2 so 2 will go to 1

The difference between the circumference of circle X and the circumference of Circle Y will be 6.28 inches.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference. Let d be the diameter of the circle.

The circumference of the circle will be

C = πd units

Circle X has a diameter of 5 inches. Then the circumference is given as,

⇒ π x 5

⇒ 3.14 x 5

⇒ 15.7 inches

Circle Y has a diameter of 3 inches. Then the circumference is given as,

⇒ π x 3

⇒ 3.14 x 3

⇒ 9.42 inches

The difference is calculated as,

⇒ 15.70 - 9.42 inches

⇒ 6.28 inches

The difference between the circumference of circle X and the circumference of Circle Y will be 6.28 inches.

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9514 1404 393

Answer:

  31

Step-by-step explanation:

If we assume the number of potatoes is proportional to the weight, then we can write the equation ...

  n/10 = 10/3.2

  n = 100/3.2 = 31.25 . . . . . . . multiply by 10

There may be 31 potatoes in a 10-lb bag.

Answer:omg really hahah xd

Hahaha

Step-by-step explanation:

Answer:

SpongeBob youre my idol

Step-by-step explanation:

x= -21 / 40

I hope it will help you

The probability of observing a value between 2% and 14% is approximately 0.854.

To calculate the probability of observing a value between 2% and 14% in a normal distribution with a mean of 9% and a standard deviation of 4%, we can use the Z-score formula.

The Z-score is calculated by subtracting the mean from the observed value and dividing it by the standard deviation:

Z = (observed value - mean) / standard deviation

For the lower value of 2%:

Z1 = (2 - 9) / 4

Z1 = -7 / 4

Z1 = -1.75

For the upper value of 14%:

Z2 = (14 - 9) / 4

Z2 = 5 / 4

Z2 = 1.25

Next, we need to find the cumulative probability associated with these Z-scores using the Z-table or a calculator. Looking up the values in the Z-table, we find:

P(Z < -1.75) ≈ 0.0401

P(Z < 1.25) ≈ 0.8944

To find the probability of observing a value between 2% and 14%, we subtract the cumulative probability of the lower value from the cumulative probability of the upper value:

P(2% < value < 14%) = P(-1.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.75)

                    ≈ 0.8944 - 0.0401

                    ≈ 0.8543

Rounding to three decimal places and truncating, the probability of observing a value between 2% and 14% is approximately 0.854.

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