According to a recent study, more than 900 people move to Florida each day! In fact, data show that only

37% of current Florida residents were born in Florida. Let be the proportion of people who were born in

Florida out of a random sample of 154 Florida residents. Determine the following probabilities. Round

solutions to four decimal places, if necessary

Answer:

Yes! Water is moist.

Step-by-step explanation:

Water is moist because water is a liquid.

From the dictionary:

moisture:

"water or other liquid diffused in a small quantity as vapor, within a solid, or condensed on a surface."

moisture is a type of liquid, and water can be 'diffused in a small quantity as vapor'

So, logically, water is moist.

Given the information sin(O) = -1 and cos(e) > 0 with e in quadrant 3, we can determine the quadrant, x, y, and r values, and then find the six trigonometric ratios for O.

First, determine the quadrant for O:
Since sin(O) = -1 and cos(e) > 0, we know that O is in quadrant 4, where sine is negative and cosine is positive.

Next, find x, y, and r:
Given sin(O) = -1, we know that y/r = -1. Since sin(O) is at its minimum, this occurs when y = -1 and r = 1. With e in quadrant 3, x must be negative. Since cos²(e) + sin²(e) = 1, we have x² + (-1)² = 1, so x² = 0, and x = 0.

Now, calculate the six trigonometric ratios for O:
1. sin(O) = y/r = -1/1 = -1
2. cos(O) = x/r = 0/1 = 0
3. tan(O) = y/x = -1/0 (undefined, as we cannot divide by 0)
4. sec(O) = r/x = 1/0 (undefined, as we cannot divide by 0)
5. csc(O) = r/y = 1/-1 = -1
6. cot(O) = x/y = 0/-1 = 0

So, O is in quadrant 4 with x=0, y=-1, and r=1. The trigonometric ratios are sin(O)=-1, cos(O)=0, tan(O)=undefined, sec(O)=undefined, csc(O)=-1, and cot(O)=0.

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Answer:

19

Step-by-step explanation:

=========================================================

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90  by using probability.

Prize                $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

p=x1p1+x2p2+x3p3+x4p4

p=1.0.60+5.0.30+10.0.05+20.0.04

p=3.90

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).

Relative Frequency Definition.

Subjective Probability.

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Answer:

B) 2 + 3x = 8

Step-by-step explanation:

Option B is not an expression as expressions do not have equal signs.

The value of the variable x will be 2. Then the radius of the circle will be 5.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is x + 3. And the area of the circle is 25π. Then the equation will be

25π = π(x + 3)²

(x + 3)² = 25

x + 3 = 5

x = 5 - 3

x = 2

Then the radius will be

r = x + 3 = 2 + 3 = 5

The value of the variable x will be 2. Then the radius of the circle will be 5.

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Answer: The general solution of the differential equation is in the screenshot provided

Step-by-step explanation:

Answer:

A= 168 minutes or 2 hours and 48 minutes.

B= 3 tyres

Step-by-step explanation:

The percentage of the data that is above a z-score of 0.83 can be calculated using the standard normal distribution table. To find this percentage, we need to determine the cumulative probability of the data above the given z-score.

To calculate the percentage, we need to find the area under the standard normal curve to the right of 0.83. The standard normal distribution table provides the cumulative probabilities for various z-scores. Looking up the z-score of 0.83 in the table will give us the corresponding cumulative probability.

However, it is important to note that in the provided question, the data values are given (21.40, 79.63, 78.02, 20.33), but it is not clear which data point corresponds to the z-score of 0.83. Without this information, it is not possible to determine the percentage of the data above the given z-score.

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a)  Frequency tree is mentioned below. b) P(Sonnet not shortlisted) = 0.477 c) P(Limerick not shortlisted) = 0.185.

In its simplest form, probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability can be used to make predictions about the outcomes of random events. For example, in a game of chance like roulette, the probability of a particular number coming up is known and can be used to determine the odds of winning.

a) Frequency tree:

                Total: 1000

                        /            \

                   /                      \

   Sonnet (750)                    Limerick (250)

           /            \                                /         \

Shortlisted    Not Shortlisted   Shortlisted    Not Shortlisted

           /                  \                                /           \

        273              477                          65         185

b) Probability of a sonnet not shortlisted:

Number of sonnets not shortlisted = Total sonnets - Shortlisted sonnets

Number of sonnets not shortlisted = 750 - 273

Number of sonnets not shortlisted = 477

P(Sonnet not shortlisted) = 477 / 1000

P(Sonnet not shortlisted) = 0.477

c) Probability of a limerick not shortlisted:

Number of limericks not shortlisted = Total limericks - Shortlisted limericks

Number of limericks not shortlisted = 250 - 65

Number of limericks not shortlisted = 185

P(Limerick not shortlisted) = 185 / 1000

P(Limerick not shortlisted) = 0.185

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Answer:

I have not J.H.S 3 , because the questions look like some J.H.S 3 ,so please I am very sorry that I can't help u in this questions . Thanks

Step-by-step explanation:

well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: \(\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}\).

\((\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\\)

Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical

\((\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}\)

Answer:

When you look in the dictinary it says this...*pick any they all will get the answer correct!

Step-by-step explanation:

definition for power in math!

In mathematics, power refers to the number arrived at by raising a number to an exponent.

brainliest? hope this helps!

The domain over which the bacteria population Increases is \(d \ge 3\)

The function is given as;

\(d = \sqrt{5.2d - 15.6} + 2\)

Set the radicand greater than or equal to 0

\(5.2d - 15.6 \ge 0\)

Add 15.6 to both sides

\(5.2d \ge 15.6\)

Divide both sides by 5.2

\(d \ge 3\)

Hence, the domain over which the bacteria population Increases is \(d \ge 3\)

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Answer:

31/24 or 1 7/24

Step-by-step explanation:

1 3/8 in an improper fraction is 11/8:

1 times the denominator (8)= 8, add the numerator (3), and get 11

then keep the original denominator

multiply 11/8 by 3 to get 33/24

multiply 1/12 by 2 to get 2/24

now you have the same denominator and can subtract

33/24-2/24= 31/24

Answer:

-263

Step-by-step explanation:

just evaluate

Answer:

The figure is a parabola

Step-by-step explanation:

Answer:

Step-by-step explanation:

First find the diameter of the small pizza.

Area = π r²

We have the area 201 in².

Let's subsitute into the formaula to find diameter of the small pizza.

201 in² = (3.14)π²

Divide both sides by π.

64.013 = r²

√64.013 = √r

8 = r (approximately) diameter is 2 times the radius.

So if the diameter of the small pizza is 8 × 2 = 16.

And the diameter of the large pizza is 16 × 2 = 32

Area of large pizza = π r²

radius would be half the diameter or 16

Area = 3.14 × 16²

803.84 in²

Randomized algorithms that guarantee exact solutions are named after the city of Las Vegas.

Las Vegas algorithms are a class of randomized algorithms that provide solutions that are guaranteed to be exact. These algorithms take advantage of randomness in their execution but ensure that the output is always correct. The name "Las Vegas" is derived from the concept of gambling in Las Vegas, where the outcomes are based on chance but the rules ensure fair play.

Las Vegas algorithms achieve their guaranteed exactness by employing techniques such as randomization, Monte Carlo methods, or probabilistic analysis. Despite the random components, these algorithms incorporate mechanisms that allow them to verify the correctness of the solution produced. If the initial random choices do not yield an exact solution, the algorithm may employ additional random iterations until it converges to an exact solution with a high probability.

By guaranteeing exact solutions, Las Vegas algorithms provide a valuable approach in solving certain computational problems where deterministic algorithms may be impractical or inefficient. These algorithms offer a balance between randomness and reliability, making them suitable for a wide range of applications in fields such as optimization, cryptography, and simulation.

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Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

\(\boxed{\sf B. \ 0}\)

Step-by-step explanation:

\(\sf 7(x + 2) = 7x-10\)

Expand brackets.

\(\sf 7x+14 = 7x-10\)

Subtract 7x and 14 from both sides.

\(\sf 7x+14 -7x-14= 7x-10-7x-14\)

\(\sf 0=-24\)

There are 0 solutions.

Answer:

The sign of a regression coefficient tells you whether there is a positive or negative correlation between each independent variable and the dependent variable. A positive coefficient indicates that as the value of the independent variable increases, the mean of the dependent variable also tends to increase.

Step-by-step explanation:

Either she dosent want to admit that she likes you or she dosnt even like u

Answer:

well, she may have her walls up when you are around her. she is scared to hurt you so she just pushes you away instead. My suggestion would be to act like her friend and that every time you work your way closer pretend that its just like in the beginning aka keep pretending your just regular friends nothing more. Then when you notice her starting to open up a little more start  working your way out of the friend zone.

Step-by-step explanation:

Answer:

2x + x/2 = 10

Step-by-step explanation:

The volume is increasing at a rate of 16755.21 mm³/s when the diameter is 100 mm.

We are given that the radius of a sphere is increasing at a rate of 4 mm/s.

Let's first write the formula of the volume of a sphere;

\(V=43πr3V  =\frac{4}{3}\pi r^3V  =34πr3\)

Now we can differentiate it by using the chain rule;

\(V'=43π3r2drdt+4πr3(4)orV'   =4πr2drdt\)

The problem asks for how fast the volume is increasing, so we need to find V' when the diameter is 100 mm, or r=50 mm.

Thus;

\(V'=4π(50²)(4)   =40,000πV'   =125663.71 mm³/s\)

Therefore, the volume is increasing at a rate of 125663.71 mm³/s when the diameter is 100 mm. Now we round to two decimal places to get;V'=16755.21 mm³/s.

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The probability that all three are female is  0.281

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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Answer:

\(\frac{19}{30}Hours\)

Step-by-step explanation:

=> 38 minutes

To express 38 minutes in the fraction of an hour, we'll divide it by 60

=> \(\frac{38}{60} Hours\)

In Simplest Form:

=> \(\frac{19}{30}Hours\)

Answer:

Step-by-step explanation:

38/60

=19/30

the curve described by the equation r^2 = 5 represents a circle with a radius of √5 centered at the origin in the Cartesian coordinate system.

To find the Cartesian equation for the curve r^2 = 5, we can rewrite it in terms of x and y coordinates. The polar coordinates (r, θ) can be converted to Cartesian coordinates (x, y) using the formulas x = r * cos(θ) and y = r * sin(θ).

Substituting the equation r^2 = 5 into these formulas, we have x = √5 * cos(θ) and y = √5 * sin(θ). Simplifying further, we get x^2 + y^2 = 5, which is the Cartesian equation of a circle with a radius of √5 centered at the origin (0, 0).

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The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:

P(heads up) = 16/40

Simplifying the fraction by dividing both the numerator and denominator by 8, we get:

P(heads up) = 2/5 or 0.4

Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.

To find the experimental probability of the coin landing heads up, you'll need to use the following formula:

Experimental probability = (Number of successful outcomes) / (Total number of trials)

In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:

Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)

Now, divide 16 by 40 to get the probability:

Experimental probability (heads up) = 16/40 = 0.4 or 40%

So, based on the results, the experimental probability of the coin landing heads up is 40%.

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