NEED HELP!! (15 points)

It is not sufficient evidence to conclude that the spinner is broken. He should not suspect that the spinner is broken

Chris spinning the spinner and getting the green color four times in a row does not necessarily indicate that the spinner is broken. The probability of landing on green on each spin is independent of previous spins, assuming the spinner is fair and unbiased.

To determine if the spinner is broken, we would need to compare the observed results to the expected results based on the known probabilities. In this case, since the spinner has four equal sections (2 red, 1 green, 1 blue), the probability of landing on green on any given spin is 1/4.

The probability of getting green four times in a row, assuming independence, is (1/4) * (1/4) * (1/4) * (1/4) = 1/256, which is a relatively low probability but still possible.

Therefore, based solely on getting green four times in a row, it is not sufficient evidence to conclude that the spinner is broken.

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Answer:

a= 11.55

Step-by-step explanation:

If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45

Hope this helps!

Answer:

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

Step-by-step explanation:

2(w+2w+6)=228 feet

2w+4w+12=228

6w=228-12

6w=216

w=36

So, 2w+6=78

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.

To find the dimensions of the tennis court, we can set up a system of equations based on the given information:

Equation for the perimeter:

The perimeter of a rectangle is given by the formula:

P = 2(length + width).

In this case,

228 = 2(l + w)

Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:

w = l

To solve the system of equations:

Substitute the value of l from the second equation into the first equation:

\(228 = 2((2w + 6) + w)\)

Simplifying the equation:

\(228 = 2(3w + 6)\)

Divide by 2 on both sides

\(114 = 3w + 6\)

Subtract by 6 on both sides

\(108 = 3w\)

Divide by 3 on both sides

\(w = 36\)

Substituting the value of w back into the second equation:

\(l = 36\)

Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.

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Answer:

x>−6 and x<3 which is (-6,3)

Step-by-step explanation:

Answer:

$31.53

Step-by-step explanation:

I used a calculator

The height of the basketball hoop is 13.32'.

What is law of similarity?

The Law of Similarity in mathematics states that if two geometric figures have the same shape but different sizes, then they are considered similar. This means that the corresponding angles of the two figures are congruent, and the corresponding sides are proportional in length.

Formally, if we have two geometric figures A and B, and if every angle of figure A is congruent to the corresponding angle of figure B, and if the ratio of the length of any pair of corresponding sides of A and B is constant, then we can say that A and B are similar figures.

Here we can see two triangle and base of two triangle is given.

Here base of small triangle is 12' and the base of big triangle is (12'+25') = 37'.

It is also given that height of small triangle is 4'3.84".

Now we want to find the height of the basketball hoop which is equal to height of big triangle.

Let the height of the basketball hoop be x.

So, by law of similarity ratios,

12'/37' = 4'3.84"/x

Now, 4'3.84" = 4.32'

So, 12'/37' = 4.32'/x

Therefore, x = 13.32'

Therefore, the height of the basketball hoop is 13.32'.

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The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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The Answer: Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.

Answer:

A

Step-by-step explanation:

Answer:

angle 1 and angle 5

Step-by-step explanation:

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.

y2(t) = t * e^(-t) is a solution of the homogeneous equation y'' + (2 - 1/t) y' + (1 + 8/t) y = 0. We will use the method of variation of parameters to determine a particular solution to the nonhomogeneous equation y'' + (2t+8) y' + (t+8) y = 0.First, we need to find the Wronskian of y1(t) = e^(-t) and y2(t) = t * e^(-t).W(y1, y2)(t) = | e^(-t)   t e^(-t)  |   =   -e^(-t)By the variation of parameters formula, the particular solution is given by y(t) = - y1(t) * integral[(y2(s) f(s)) / (W(y1, y2)(s))] ds + y2(t) * integral[(y1(s) f(s)) / (W(y1, y2)(s))] dswhere f(t) = 0 and W(y1, y2)(t) = -e^(-t).Thus, y(t) = c1 * e^(-t) + c2 * t e^(-t)where c1 and c2 are constants to be determined from the initial conditions.y(1) = c1 * e^(-1) + c2 * e^(-1) = 8/e ---> (1)c1 + c2 = 8y'(1) = - c1 * e^(-1) + c2 * e^(-1) + c2 * e^(-1) = 2/e ---> (2)- c1 + 2c2 = 2/eSolving the system (1)-(2) yields c1 = 10/e and c2 = -2/e.The solution to the initial value problem is thus:y(t) = e^(-t) * (66/7 - 10/(7t^2)).The 100 word answer:Thus, the solution to the given initial value problem is y(t) = e^(-t) * (66/7 - \(10/(7t^2)).\)

The odds that 7 of the cat-loving students get Heads while 12 of the dog-loving students get Tails are approximately 0.004.

The odds that 7 of the cat-loving students get Heads while 12 of the dog-loving students get Tails can be calculated using the binomial probability formula. The probability of a cat-loving student getting a Head is 0.5, and the probability of a dog-loving student getting a Tail is also 0.5. The formula for the binomial probability is P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where n is the total number of trials, k is the number of successful outcomes, p is the probability of success, and C(n, k) represents the number of ways to choose k successes from n trials.

In this case, we have 11 cat-loving students and 17 dog-loving students. We want to find the probability that exactly 7 cat-loving students get Heads and exactly 12 dog-loving students get Tails. Using the binomial probability formula, we can calculate P(X = 7) as follows:

P(X = 7) = C(11, 7) * (0.5)^7 * (0.5)^(11 - 7) * C(17, 12) * (0.5)^12 * (0.5)^(17 - 12)

To calculate the odds, we divide the probability of the desired outcome by the probability of the complementary outcome (not getting 7 Heads for cat-loving students and 12 Tails for dog-loving students). The odds are given by the formula Odds = P(X = k) / P(X ≠ k).

In this case, the main answer would be the calculated value of P(X = 7) divided by the probability of the complementary outcome.

So, to calculate the exact probability and odds, we can use the binomial coefficient to calculate the number of ways to choose the successful outcomes. The binomial coefficient C(n, k) represents the number of ways to choose k successes from n trials.

For the probability of getting exactly 7 Heads for cat-loving students and 12 Tails for dog-loving students:

P(X = 7) = C(11, 7) * (0.5)^7 * (0.5)^(11 - 7) * C(17, 12) * (0.5)^12 * (0.5)^(17 - 12)

C(11, 7) = 330 (number of ways to choose 7 successes out of 11 trials)

C(17, 12) = 6188 (number of ways to choose 12 successes out of 17 trials)

(0.5)^7 = 0.0078125 (probability of getting 7 Heads for cat-loving students)

(0.5)^12 = 0.000244140625 (probability of getting 12 Tails for dog-loving students)

Now we can calculate P(X = 7):

P(X = 7) = 330 * 0.0078125 * 0.0078125 * 6188 * 0.000244140625 ≈ 0.003983

To calculate the odds, we need to calculate the probability of the complementary outcome (not getting 7 Heads for cat-loving students and 12 Tails for dog-loving students):

P(X ≠ 7) = 1 - P(X = 7) ≈ 1 - 0.003983 = 0.996017

Finally, the odds can be calculated as:

Odds = P(X = 7) / P(X ≠ 7) ≈ 0.003983 / 0.996017 ≈ 0.004

Therefore, the odds that 7 of the cat-loving students get Heads while 12 of the dog-loving students get Tails are approximately 0.004.

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The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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Answer:

x²-8x-1=0

comparing above equation with ax²+bx+c=0

a=1

b=-8

c=-1

x=

\(x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \)

=(--8+-√(64-4×1×-1)/2×1

=8+-√(64+4)/2

taking positive

x=(8+√68)/2=2(4+√17)/2=4+√17

taking negative

x=(8-√68)/2=2(4-√17)/2=4-√17

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Answer:

£72

Step-by-step explanation:

let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x

Then

x + 3x + 6x = 10x = £240 ( divide both sides by 10 )

x = £24

Gordon gets 3x = 3 × £24 = £72

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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The percentage of right-handed people is 1%.

Percent signifies out of one hundred. It is frequently represented by the symbol "%," even when there aren't 100 entries. After that, the figure is scaled so that it can be put in comparison with 100. Additionally, changes in numerical quantities are denoted by percentages.

We have a bowl of fruit, for instance, with three apples and one orange. Three out of four, or 3/4, or 75 out of 100, or 75 percent, are apples.

A ratio can also be expressed as a fraction or decimal in addition to being written as a percentage. There are methods for converting decimals or fractions to percentages.

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the level of water is rising at approximately 0.05 feet per minute at the instant the water reaches a depth of 2 feet

Now, First, we need to find the volume of water in the trough when the depth is 2 feet.

Since the cross section is an equilateral triangle, we can use the formula for the area of an equilateral triangle

(A = (√(3)/4) × s) to find the area of the cross section.

Hence,

A = (√(3)/4) × 6

A = 9√(3)

Then, we can use the formula for the volume of a triangular prism

V = A x l) to find the volume of water in the trough.

V = 9√(3) × 12

V = 108√3) cubic feet

Now that we know the volume of water, we can use the formula for the rate of change of volume with respect to time dV/dt = A  dh/dt) to find how fast the level of water is rising at the instant the water reaches a depth of 2 feet.

dV/dt = 4 cubic feet per minute

A = 9√(3) h = 2 feet

dV/dt = A dh/dt

4 = 9sqrt(3) dh/dt

dh/dt = 4 / (9sqrt(3))

dh/dt ≈ 0.05 feet per minute

Therefore, the level of water is rising at approximately 0.05 feet per minute at the instant the water reaches a depth of 2 feet

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Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

One bag of shavings covers 5 square feet.

To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.

The number of bags needed for the floor of the cage is therefore :

18 / 5 = 3 3/5 bags

roots = {-2, -6}

Factors: (x + 6) and (x + 2)

Answer:

5  10   15   20  

4   8    12   16

Step-by-step explanation:

Flour: 5,10,15,20

Sugar:4,8,12,16

so the amount of flour you need is 20 cups and the amount of sugar is 16 cups

Step-by-step explanation:

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

Answer:

88.3

I just think so

I dont have a 20 letter explantion

Answer:

Rs. 450

Step-by-step explanation:

Selling Price ----- 750

Reduced by 40% therefore 40/100 x 750

=300

750-300= 450

Answer:

$450

Step-by-step explanation:

40 percent *750 =

(40:100)*750 =

(40*750):100 =

30000:100 = 300

750-300=$450

Answer:

Step-by-step explanation:

Answer:

  (a)  Point R is at (−40, 40), a distance of 70 units from point Q

Step-by-step explanation:

Point Q is on the same horizontal line as P, but is 30 -(-40) = 70 units away. If point R is 70 units above point Q, its y-coordinate will be -30 +70 = 40.

Point R is at (−40, 40), a distance of 70 units from point Q