Suppose that in a ring toss game at a carnival, players are given 5 attempts to throw the rings over the necks of a group of bottles. The table shows the number of successful attempts for each of the players over a weekend of games. Complete the probability distribution for the number of successful attempts, X. Please give your answers as decimals, precise to two decimal places. Successes | # of players 0 33 1 60
2 32 3 27 4 15
5 8

The ratio of the time Thabo spent doing homework to the time he spent at school is 2:7.

Ratio refers to the relative size of a quantity compared to another.

Ratios are expressed as percentages, from 0% to 100%, as fractions, as proportions or decimals, from zero to one, and in ratio forms (:).

To compute the ratio as a decimal, it is the quotient of one quantity and another comparative quantity.

Activity                      Time

Sleeping                   8 hours

At school                  7 hours

Doing homework    2 hours

Playing sport            4 hours

Watching TV            2 hours

Eating                       1 hour

Total hours =        24 hours

Ratio of time doing homework to the time spent at school = 2:7

The sum of ratios = 9 (2 + 7)

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Answer:

Step-by-step explanation:

2723.76=2723.8

To find the value of c, we can use the given information that y(-5) = y(5).

Let's solve the differential equation and find the expression for y(t) first.

The given differential equation is: y'(t) - cos(t) * y(t) = -2 * cos(t) * e^(-c)

To solve this linear first-order ordinary differential equation, we can use an integrating factor. The integrating factor is e^(-∫cos(t)dt) = e^(-sin(t)).

Multiplying both sides of the equation by the integrating factor, we get:

e^(-sin(t)) * y'(t) - cos(t) * e^(-sin(t)) * y(t) = -2 * cos(t) * e^(-sin(t)) * e^(-c)

Now, we can rewrite the left-hand side using the product rule for differentiation:

(d/dt)(e^(-sin(t)) * y(t)) = -2 * cos(t) * e^(-sin(t)) * e^(-c)

Integrating both sides with respect to t, we have:

∫(d/dt)(e^(-sin(t)) * y(t)) dt = ∫(-2 * cos(t) * e^(-sin(t)) * e^(-c)) dt

e^(-sin(t)) * y(t) = -2 * ∫(cos(t) * e^(-sin(t)) * e^(-c)) dt

Now, let's integrate the right-hand side. Note that the integral of e^(-sin(t)) * cos(t) is not an elementary function and requires special functions to express.

e^(-sin(t)) * y(t) = -2 * F(t) + k

where F(t) represents the antiderivative of (cos(t) * e^(-sin(t)) * e^(-c)) and k is the constant of integration.

To determine the value of k, we can use the initial condition y(5) = e^5 + c:

e^(-sin(5)) * (e^5 + c) = -2 * F(5) + k

Now, we can substitute y(-5) = y(5) into the equation:

e^(-sin(-5)) * (e^(-5) + c) = -2 * F(-5) + k

Using the fact that e^(-sin(-5)) = e^sin(5), we have:

e^sin(5) * (e^(-5) + c) = -2 * F(-5) + k

Since y(-5) = y(5), we can equate the two expressions:

e^(-sin(5)) * (e^5 + c) = e^sin(5) * (e^(-5) + c)

Now, we can solve for c:

e^(-sin(5)) * e^5 + e^(-sin(5)) * c = e^sin(5) * e^(-5) + e^sin(5) * c

Simplifying the equation, we get:

e^(5 - sin(5)) + e^(-sin(5)) * c = e^(-5 + sin(5)) + e^sin(5) * c

e^(-sin(5)) * c - e^sin(5) * c = e^(-5 + sin(5)) - e^(5 - sin(5))

c * (e^(-sin(5)) - e^sin(5)) = e^(-5 + sin(5)) - e^(5 - sin(5))

c = (e^(-5 + sin(5)) - e^(5 - sin(5))) / (e^(-sin(5)) - e^sin(5))

Calculating this expression numerically, we find:

c ≈ -2.027

Therefore, the value of c is approximately -2.027.

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Answer: $3.20 is the sales tax

Step-by-step explanation:

\(\frac{8x40}{100} =3.2\) (8 times 40 divided by 100)

please mark brainliest if this helped :)

Answer:

The answer is $22.77.

Step-by-step explanation:

15%=$2.97

7% tax= $1.30

18.50+1.30=19.80

2.97+19.80=22.77

Total: $22.77

The current ix can be found using nodal analysis by solving the following equations:

V1 - V2 = 2ix

V2 - 0 = 3ix

The first equation states that the voltage at node 1 minus the voltage at node 2 is equal to 2ix. The second equation states that the voltage at node 2 is equal to 3ix.

The first equation can be derived from the fact that there is a current of 2ix flowing from node 1 to node 2. The second equation can be derived from the fact that there is a current of 3ix flowing from node 2 to ground.

Solving the two equations, we get ix = 1/5.

Apply KCL to node 1:

V1 - V2 = 2ix

Apply KCL to node 2:

V2 - 0 = 3ix

Solve the two equations for ix:

ix = 1/5

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Answer:

0.0000005

Step-by-step explanation:

The negative exponent means the number is small.

Hope it helps! :)

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:\(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation \(f(x) = ax^n + bx^n-1 + cx^n-2 + … + z\), where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: \(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

Answer:

There is a little over 1 gallon

Step-by-step explanation:

Answer:

this question provides no content for me to answer but i want the points and i will be taking them Thankyou!

Step-by-step explanation:

here is the same sentence translated in spanish

el viaje en coche desde la casa de kileys hasta el aeropuerto

Answer:

\(Dom_{f}=[-3,\infty)\)

\(Range_{f}=(-\infty,-2]\)

Step-by-step explanation:

I understand the correct function is \(f(x)=-\sqrt{x+3} - 2\)

Domain of f

\(x+3\geq 0\\x\geq -3\)

Thus, \(Dom_{f}=[-3,\infty)\)

Range of f

\(Range_{f}=(-\infty,-2]\)

Answer:

742

Step-by-step explanation:

Divide 1060 by 10 to get 106. This is 10% of his score.

100-30 is 70, so Val scored 70% of Peeta’s points.

Multiply 106 by 7 find 70%

Val scored 742 points

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

Area of the given triangle is 132 sqr inches.

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. Area is the total amount of area occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the region that its boundary encloses. The quantity of unit squares that span a closed figure's surface is its area.

Heron's formula in mathematics provides the triangle's area in terms of its three side lengths, a, b, and c. it is given by

area= \(\sqrt{s(s-a)(s-b)(s-c)}\) where s is the semi perimeter.

In the given triangle,

let a=15

b= 18

c= 21

s= \(\frac{a+b+c}{2}\)

s=\(\frac{15+18+21}{2}\)= 27

using heron's formula,

area= \(\sqrt{s(s-a)(s-b)(s-c)}\)

area= \(\sqrt{27(27-15)(27-18)(27-21)}\)

       = \(\sqrt{17496}\)= 132.27 sqr inches

        ≈132 sqr inches

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Answer: 54 sqrt 6

Step-by-step explanation: I have no clue how to get to this answer, but I got it wrong on the test and this is what it says the right answer is.

Answer:

6/11 games

Step-by-step explanation:

Take the total number of wins, losses, and ties, and add them up to get the total number of games.

3+2+6=11

Then divide the wins by the number of games to get the fraction.

6/11

Answer:

0.002

Step-by-step explanation:

you have to count from the point 3 numbers down you jet to 0.002 look at the number next to it if is above 5 the 0.002 goes to 0.003 but if the number is under 5 the answer remains 0.002

Answer:

0.00209
In scientific notation: 2.09 × 10⁻³

Step-by-step explanation:

The original had 6 significant digits 2,0,8,8,1,5

The result after rounding up has 3 significant digits 2, 0, 9

Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

The width of a confidence interval is determined by the level of confidence and the variability of the data

. A higher level of confidence requires a wider interval to capture a larger range of possible values. Therefore, the widest confidence interval would be associated with the highest level of confidence.

In this case, option (d) 99% would produce the widest confidence interval. A 99% confidence interval is wider than a 90%, 95%, or 98% confidence interval because it allows for a greater level of certainty in capturing the true population parameter. This increased level of confidence necessitates a wider interval to accommodate a larger range of potential values.

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The probability that all 6 flips result in heads is 1/64

The given coin is flipped 6 times. The number of heads and tails could vary from 0 to 6.Let H be the number of heads and T be the number of tails. Then the possible values of H and T are, H=0 and T=6 H=1 and T=5 H=2 and T=4 H=3 and T=3 H=4 and T=2 H=5 and T=1 H=6 and T=0

For the given question, it is given that more heads are flipped than tails.So the possible values of H are 4, 5 and 6.So the total number of possible outcomes with more heads than tails is the sum of the possible outcomes with 4, 5 and 6 heads which is, 1+6+15 = 22 (from the combinations formula)Now, the probability that all 6 flips result in heads, given more heads are flipped than tails is,

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T)P(H > T) = 22/64

P(all 6 are heads | H > T) = 1/21 (there is only one possibility where all 6 flips are heads)

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T) = (22/64) × (1/21) = 1/64

Therefore, the probability that all 6 flips result in heads, given more heads are flipped than tails is 1/64.

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Answer:

\({\boxed{\boxed{\tt { TYSM!!}}}} \ \)

Answer:

Step-by-step explanation: hi

Answer:

10 meters.

Step-by-step explanation:

We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.

It rebounded 2/3 of 6 meters, which is 4 meters.

6 meters add 4 meters is 10 meters.

The period of the movement, where 30 rotations are made every 45 seconds, is 1.5 seconds.

The period of the motion is the time it takes for one complete rotation (revolution). To find the period of the motion, we can divide the total time by the number of rotations (revolutions).

In this case, the total time is 45 seconds and the number of rotations (revolutions) is 30. So, the period of the motion is:

Period = Total time / Number of rotations (revolutions)

Period = 45 seconds / 30

Period = 1.5 seconds

Therefore, the period of the motion is 1.5 seconds.

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The cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

The volume of a cylinder having a radius of r units, and a height of h units, is given by the formula, V = πr²h.

In the question, we are asked to find the radius (r), of a cylindrical water tank, with a volume of 490π feet³, and a height of 10 feet.

Substituting the value of V = 490π feet³, and h = 10 feet, in the formula for the volume of a cylinder, V = πr²h, we get:

490π feet³ = π.(r²)(10 feet).

Rearranging this, we can write:

r² = (490π)/(10π) feet²,

or, r² = 49 feet²,

or, r = √49 feet,

or, r = 7 feet.

Thus, the cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

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The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 8² + 3 × 78² + 3 × 7

Simplify the expression, then we have

⇒ 8² + 3 × 78² + 3 × 7

⇒ 64 + 3 × 6084 + 21

⇒ 85 + 18252

⇒ 18337

The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer:

0.44x10^3

Step-by-step explanation:

The number has to be from 1 to 10, not below 1, like 0.44 does.

a) The number of bacteria in the initial population is 34.

b) The exponential growth model is y = 34 * e^(kt)

Given data:

(a) To find the initial population, we can use the exponential growth formula:

y = A * e^(kt)

Where:

y = population at time t

A = initial population

k = growth rate

t = time

Given that there are 105 bacteria after 2 hours, so plug in these values into the formula:

105 = A * e^(k*2)

Similarly,  given that there are 325 bacteria after 4 hours:

325 = A * e^(k*4)

We now have a system of equations:

105 = A * e^(2k)

325 = A * e^(4k)

To solve for A, divide the second equation by the first equation:

325/105 = e^(4k)/e^(2k)

Simplifying further:

325/105 = e^(2k)

Taking the natural logarithm of both sides:

ln(325/105) = ln(e^(2k))

ln(325/105) = 2k

Solving for k:

k = 0.56493

Substitute it back into one of the original equations to solve for A. Let's use the first equation:

105 = A * e^(2k)

Substituting k = ln(325/105) / 2:

105 = A * e^(2 * ln(325/105) / 2)

Simplifying:

105 = A * (325/105)

A = 105 * (105/325)

A ≈ 34 (rounded to the nearest whole number)

Hence, the initial population is approximately 34 bacteria.

(b) Now that we have the initial population, A, and the growth rate, k, we can write the exponential growth model for the bacteria population:

y = 34 * e^(kt)

where t represents the time in hours.

Hence, the exponential equations are solved.

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In order to test for any positive autocorrelation in the data, you would use the Pearson correlation coefficient. This measures the strength and direction of a linear relationship between two variables. The level of significance that you set depends on the size of your dataset, but generally should be 0.05 or less.

To test for positive autocorrelation, you need to compare the Pearson correlation coefficient with the critical value of the correlation coefficient. The critical value is determined by the level of significance you have set. If the Pearson correlation coefficient is greater than the critical value, then you can conclude that there is a significant positive autocorrelation.

It is important to keep in mind that a positive correlation does not necessarily mean that there is a cause and effect relationship between the two variables. It only means that the two variables move in the same direction.

In conclusion, if the Pearson correlation coefficient is greater than the critical value, then you can conclude that there is a significant positive autocorrelation.

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The missing length of the triangle can be found using the Pythagorean Theorem which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can use the formula c² = a² + b² where c is the hypotenuse, a is the opposite side and b is the adjacent side.

To find the missing length, we can rearrange the formula to solve for b: b² = c² - a². Substituting the given values,

we have: b² = (0.5)² - (0.3)².

Simplifying the equation, we get: b² = 0.16.

Taking the square root of both sides, we get: b = 0.4 cm.

Therefore, the missing length of the triangle is 0.4 centimeters.

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