The diameter of a circle is 2.6 inches. What is the circle's area?
Use 3.14 for Pi and round your answer to the nearest hundredth.

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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The equation used to solve this problem is x + y + z = 100000,  0.04x + 0.06y + 0.08z = 6700 and y = z

An equation is an expression showing the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 4% (short term), y represent the amount of money invested at 6% (intermediate term) and z represent the amount of money invested at 8% (long term)

Since an investor has $100,000 to invest, hence:

x + y + z = 100000    (1)

Also, the investor wishes to have a return of $6700, hence:

0.04x + 0.06y + 0.08z = 6700   (2)

Equal amounts invested in intermediate and long term bonds. This gives:

y = z     (3)

The third equation used to solve this problem is y = z

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Answer:

The pattern is:

Step-by-step explanation:

they are the first letters of each month in the year -

J - January

F- Febuary

M - March

A - April

M - May

Continuing...

J - June

J - July

A - August

S - September

O - October

N - November

D - December

Answer:

Step-by-step explanation:

hello :

the cannonball hit the ground when h=0

-5t² + 40t=0 means : -5t(t- 8)=0

t=8

a. The system of equations is

b. For the hexagon

A hexagon is a regular polygon with six sides.

Let x be the acute angles of the hexagon and y be the obtuse angles of the hexagon.

Since he measures of the obtuse angles in the hexagon are 30 more than twice the measures of the acute angles, we have that

y = 2x + 30

Also, we know that the sum of  interior angles of a polygon is (n - 2)180.

Since x  is the interior angle and n = 6, we have that

6x = (n - 2)180.

x = (n - 2)180/6

x = 30(n - 2)

So, the system of equations is

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Since

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Substituting n = 6 into (2), we have

x = 30(6 - 2)

x = 30(4)

x = 120

Substituting x = 120 into (1), we have

y = 2x + 30

y = 2(120) + 30

y = 240 + 30

y = 270

So,

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The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

2835 its basically multiple

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

Answer: -12 x 4

Step-by-step explanation:

12 times 4 is 48

Rule: A negative multiplied by a positive, will always give you a negative.

So, -12 is a negative number and 4 is a positive number.

Negative x Positive = Negative

Positive x Negative = Negative

-12 x 4 = -48

Answer:

2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = 4 ( subtract x from both sides )

y = 4 - x → (1)

xy = - 48 → (2)

substitute y = 4 - x into (2)

x(4 - x) = - 48

4x - x² = - 48 ( multiply through by - 1 )

x² - 4x = 48

solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2) x + (- 2)² = 48 + (- 2)²

(x - 2)² = 48 + 4 = 52 ( take square root of both sides )

x - 2 = ± \(\sqrt{52}\) ( add 2 to both sides )

x = 2 ± \(\sqrt{52}\)

substitute this value into (1)

y = 4 - (2 ± \(\sqrt{52}\) ) = 4 - 2 ± \(\sqrt{52}\) = 2 ± \(\sqrt{52}\)

then the 2 numbers are

2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)

Jake is incorrect in his assertion that the BYOB should charge 2.25 per can.

Profit maximization is the process by which businesses ensure that the best output and price levels are achieved in order to maximize their returns. The firm adjusts influential factors such as sale price, production cost, and output levels to achieve its profit goals.

Price     QD      T*R(P*Q)   Total cost(ATC*Q)    Profit(TR-TC)

2          1000     2000              2750                    -750

2.25      750     1687.5                 2625                   -937.5

Profit maximization ensures that favorable output and price are achieved in order to maximize its return, whereas Loss minimization ensures that there is a lower loss on return in the long run. Given that the loss realized is lower in $2 per unit than in $2.25 per unit, Jake's assertion that BYOB should charge $2.25 per can is incorrect.

Note: The point on the graph represents the profit-maximizing price and quantity for BYOB.

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Complete question

BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market.

Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss.

If triangle ABC is congruent to triangle DEF, then all four statements must be true about the triangles: AB=EF, AB=DE, ∠A=∠E, and ∠B=∠D.

When two triangles are congruent, it means that they have the same size and shape. To show that triangle ABC is congruent to triangle DEF, we need to show that all corresponding sides and angles are equal.

The statement AB=EF means that the lengths of side AB and EF are equal. Similarly, the statement AB=DE means that the lengths of side AB and DE are equal.

The statement ∠A=∠E means that angle A in triangle ABC is equal to angle E in triangle DEF. Similarly, the statement ∠B=∠D means that angle B in triangle ABC is equal to angle D in triangle DEF.

By the Congruence of Triangles axiom (SSS), if two triangles have three sides of equal length, then they are congruent. Therefore, since AB=EF, AB=DE, and ∠A=∠E, we can conclude that triangle ABC is congruent to triangle DEF.

Furthermore, since ∠B=∠D, we can conclude that all four statements (AB=EF, AB=DE, ∠A=∠E, and ∠B=∠D) must be true in this case.

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Answer:

150 Wh

I guess the question means, how much money is wasted on lighting in a year ?

$0.50

Step-by-step explanation:

3 × 10W × 5 hours = 150 Wh

2 × 10W × 1 hour × 365 × 0.068 / 1000

divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.

=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =

= 7.3 × 0.068 = $0.50 (rounded from 0.4964)

For right triangle LMN, the required ratio equivalent to tan(L) is 5 /13.

In this case, in order to find the ratio equivalent to tan (L).

tan(L) = opposite / adjacent side

tan(L) = NM /LN

Here given

NM = 5cm

LN = 13cm

We already know that tan(L) = perpendicular / adjacent

from given,

tan (L) = 5 / 13

As a result, the required ratio for triangle LMN is 5/13.

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Answer:

7/8

Step-by-step explanation:

I got it right

Answer:

7/8

Step-by-step explanation:

cuz

The answer is b, my teacher explained it to me on a test. Don't know if he's right because he was a substitute.

If an entire function f(z) satisfies Re f(z) ≠ Im f(z) for all z ∈ C, then f(z) must be a constant function.

Let's assume that f(z) is an entire function that satisfies Re f(z) ≠ Im f(z) for any z ∈ C. We want to prove that f(z) is a constant function.

Consider the function g(z) = e^(if(z)), where i is the imaginary unit. Since Re f(z) ≠ Im f(z), we can conclude that g(z) is never equal to zero for any z ∈ C.

By the entire function identity theorem, g(z) must be a non-zero entire function. However, non-zero entire functions have no zeros in the complex plane.

Since g(z) has no zeros, its reciprocal 1/g(z) is also an entire function.

Now, let's consider the function h(z) = g(z) * 1/g(z). Since g(z) and 1/g(z) are entire functions with no zeros, their product h(z) is also an entire function with no zeros.

By the identity theorem, h(z) must be identically equal to 1, meaning it is a constant function.

Therefore, f(z) = if^(-1)(ln(h(z))) is also a constant function, as it is constructed from the inverse logarithmic function applied to a constant function.

Hence, we have shown that if an entire function f(z) satisfies Re f(z) ≠ Im f(z) for all z ∈ C, then f(z) is a constant function.

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Answer:6.25 laps

Step-by-step explanation:

24/3=8

1 lap is 8 min

50/8=6.25

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

B.  -12.4 + 20.6s.

Step-by-step explanation:

Perimeter = 2*length + 2 * width

= 2(3.1s - 1.6) + 2(7.2s - 4.6)

= 6.2s + 14.4s - 3.2 - 9.2

= 20.6s - 12.4

= -12.4 + 20.6s.

\(\boxed{-12+20.6s}\)

To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.

2(3.1s - 1.6) + 2(7.2s - 4.6)

This is equal to:

6.2s + 14.4s - 3.2 - 9.2

Simplified, this is equal to:

20.6s - 12.4

(We have to switch it around, but this answer is equal to option b.)

-12.4 + 20.6s

Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)

To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

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Answer:

The equation tan−1(8.9/7.7) = x can be used to find the measure of angle LKJ.

Step-by-step explanation:

bc i know lol :) pls like tytytyty

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;

The volume of the vessel, v = π•r^2•h/3

\( \frac{h}{r} = \frac{40}{8} = 5\)

h = 5•r

Therefore;

v = π•r^2•(h)/3 = π•(h/5)^2•h/3

v = π•h^3/75

By chain rule of differentiation, we have;

\( \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} \)

Which gives;

\(π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} \)

\( \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } \)

When the height is 12 cm from the vertex, we have;

\( \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 \)

When the vessel is one-quarter filled, we have;

v = π•h^3/75

π•(40)^3/(75×4) = π•h^3/75

10•(40)^2 = 16,000 = h^3

h = (16,000)^(1/3) = 25 (approx)

Which gives;

\( \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 \)

When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.

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The critical numbers of the function f(theta) are:

theta = nπ for any integer n

theta = 2nπ + π/3 and 2nπ + 5π/3 for any integer n.

To find the critical numbers of the function \(f(theta) = 2cos(theta) + sin^2(theta)\), we need to find the values of theta where the derivative of the function equals zero or does not exist.

The derivative of f(theta) with respect to theta is:

f'(theta) = -2sin(theta) + 2sin(theta)cos(theta)

Setting f'(theta) equal to zero and factoring out sin(theta), we get:

f'(theta) = 0

sin(theta)(2cos(theta) - 2) = 0

This equation is true when either sin(theta) = 0 or 2cos(theta) - 2 = 0.

When sin(theta) = 0, theta can be any integer multiple of π.

When 2cos(theta) - 2 = 0, we have:

2cos(theta) = 2

cos(theta) = 1

This is true when theta = 2nπ for any integer n.

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The required solution of the equation is (2,5). The correct option is A. (2,5).

\(y=x+3.....(1)\\2x+y=9......(2)\)

putting the value of y from eq. 1 in eq. 2 we get,

\(2x+x+3=9\\3x=9-3\\3x=6\\x=2\)

putting the value of x=2 in eq. 1 we get,

\(y=2+3\\y=5\)

Hence, the required solution of the equation is (2,5).

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