The length of a rectangle is 2 times the width. If the perimeter is to be greater than or equal to 24 meters. What are the possible values for the width

The probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

This is a binomial probability problem, where we have a fixed number of trials (n=20) and each trial is either a success (voted in a local election) or a failure (did not vote in a local election).

The probability of success for each trial is p=0.18 (since the typical voter turnout is 18%). We want to find the probability of exactly 2 successes in 20 trials.

We can use the binomial probability formula to solve this problem:

\(P(X = k) = (n choose k) * p^k * (1-p)^{n-k}\)

where X is the random variable representing the number of successes (voters who voted in a local election), k is the number of successes we're interested in (k=2), n is the total number of trials (n=20), p is the probability of success (p=0.18), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and is calculated as:

(n choose k) = n! / (k! * (n-k)!)

Plugging in the values, we get:

\(P(X = 2) = (20 choose 2) * 0.18^{2} * (1-0.18)^{20-2}\)

= (190) * 0.0324 * 0.8222

= 0.382

Therefore, the probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

not a 100% sure just trying to help

Answer:

Step-by-step explanation:

The area outside of the semicircle is the difference of the areas of the rectangle and the semicircle.

Area of rectangle:

Area of the semicircle:

The area we are looking for is:

Correct choice is A

Answer:

x = 3, y = 4

Step-by-step explanation:

3x + y = 13

5x - 2y = 7

To solve by substitution, you solve one of the equations for a variable, and then plug it into the other equation.

I'm going to choose to solve the first equation for y, as that will be the easiest.

y = -3x + 13 (subtract 3x from both sides)

Now we plug this equation into the y in the second equation and solve for x.

5x - 2(-3x + 13) = 7 (distribute)

5x + 6x - 26 = 7 (combine like terms)

11x - 26 = 7 (add 26 to both sides)

11x = 33

x = 3

Now that we know x is 3, we can plug it in a solve either equation for y.

y = -3(3) + 13

y = -9 + 13

y = 4

Answer:

Look below.

Step-by-step explanation:

Good ol' Pythagorean Theorem.

To find the short side of the larger triangle, we'll use this equation:

\(a^{2} +b^{2} =c^{2} \\\\9^2+b^2=10^2\\81+b^2=100\\\)

You can solve the rest on your own.

Use the same type of equation for the smaller triangle, except your b would be the hypotenuse, so that equation would look something like this:

\(3^2+x^{2} = b^2\)

Hope it helped! Also, there seems to be a help video, if you didn't understand this explanation, why don't you go ahead and watch it?

Answer:

x ≈ 3.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left

let third side be h , then

h² + 9² = 10²

h² + 81 = 100 ( subtract 81 from both sides )

h² = 19

Using Pythagoras' identity in the right triangle on the right

x² + 3² = h²

x² + 9 = 19 ( subtract 9 from both sides )

x² = 10 ( take the square root of both sides )

x = \(\sqrt{10}\) ≈ 3.2 ( to the nearest tenth )

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer:

c) 1

Step-by-step explanation:

\(\frac{1}{2}\)(12·g)-h

g= \(\frac{1}{4}\) and h=\(\frac{1}{2}\); substitute back in the equation

\(\frac{1}{2}\)(12·\(\frac{1}{4}\)) - \(\frac{1}{2}\); multiply inside the parenthesis

\(\frac{1}{2}\)(3)- \(\frac{1}{2}\); multiply and notice the same denominator

\(\frac{3}{2}\)-\(\frac{1}{2}\) = \(\frac{2}{2}\) = 1; subtract the fractions

Answer:

\(y=-\frac{1}{5}x+9\frac{1}{5}\)

Step-by-step explanation:

\(y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}\)

Answer:

D. All real numbers

Step-by-step explanation:

The domain is the set of values that can be used for x. There is no restriction on x, so the domain is all real numbers.

Answer:

all real numbers

Step-by-step explanation:

The domain is the possible input values

Since x can be any value, the domain is all real numbers

The two triangles below are similar and the value of x is 2.5mm

To determine the value of x, we can use the concept of similar triangles, which states that corresponding angles of similar triangles are equal, and corresponding sides are proportional.

In the given diagram, we have two triangles, one with sides measuring 12 mm, x mm, and 10 mm, and the other with sides measuring 3 mm, x mm, and an unknown side (which we'll label as y mm).

Since the triangles are similar, we can set up the following proportion based on their corresponding sides:

12 mm / 3 mm = 10 mm / y mm

To solve for y, we can cross-multiply:

12 mm * y mm = 3 mm * 10 mm

12y = 30

Dividing both sides of the equation by 12, we find:

y = 30 / 12

Simplifying the fraction, we get:

y = 5 / 2

Therefore, the value of x is equal to y, which means x = 5/2 or 2.5 mm.

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Answer:

y = x + 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find slope m

m = (1 - 6)/(-1 - 4)

m = -5/-5

m = 1

y = x + b

Step 2: Find y-int b

y = x + b

1 = -1 + b

b = 2

Step 3: Rewrite equation

y = x + 2

Answer:

-80, -160, -320

Step-by-step explanation:

Answer: − 80 ,  − 160 , and  − 320

Step-by-step explanation:

From  − 5  to  − 10 , you multiplied by  2 . From  − 10  to  − 20 , you multiplied by  2 , and so on.

− 40  ⋅  2 = − 80  

− 80  ⋅  2  = − 160

− 160  ⋅  2 = − 320

I think 7/2 im not definate

The required all three situation are explained to the detector.

a. The equation for the distance-time graph of the student's motion is:

distance = rate × time + initial distance

where rate is the speed at which the student is walking (2 feet per second), time is the elapsed time in seconds, and initial distance is the distance between the student and the motion detector at the start (15 feet). This can be written in slope-intercept form as:

distance = 2t + 15

where the slope is 2 (the rate of change of distance with respect to time) and the y-intercept is 15 (the initial distance from the motion detector).

b. In this situation, the slope of the equation (2) represents the speed at which the student is walking towards the motion detector. It tells us that for every one second that passes, the student moves 2 feet closer to the motion detector. In other words, the slope represents the rate of change of distance with respect to time.

c. The y-intercept of the equation (15) represents the initial distance between the student and the motion detector. It tells us that at the start of the motion detector recording, the student was 15 feet away from the detector. When time is 0 (at the start), the distance traveled is just the initial distance, which is the y-intercept.

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A data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

Data set with an outlier:

Therefore, a data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

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Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
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Answer:

k=a+7

Step-by-step explanation:

Take 1 k away from both sides. I hope you found this useful!

Answer:

k = \(\frac{7}{2-a}\)

Step-by-step explanation:

2k = ak + 7 ( subtract ak from both sides )

2k - ak = 7 ← factor out k from each term on the left side

k(2 - a) = 7 ( isolate k by dividing both sides by (2 - a) )

k = \(\frac{7}{2-a}\)

Answer:

D) 3 units

Step-by-step explanation:

Hope this helps! Pls give brainliest!

If a random sample of 29 time intervals between eruptions has a mean greater than 106, it may be concluded that the average time between eruptions is longer than 106 units of time. However, it is important to note that the sample size of 29 may not be representative of the entire population of time intervals between eruptions, and therefore the conclusion drawn may not be entirely accurate.
Additionally, it is important to consider the variability of the data. If the standard deviation of the sample is high, it may indicate that there is a wide range of time intervals between eruptions, making it difficult to draw a definitive conclusion. On the other hand, if the standard deviation is low, it may indicate that the time intervals are more consistent, and the conclusion drawn may be more reliable.

Overall, it is important to consider both the mean and variability of the sample when drawing conclusions about the population of time intervals between eruptions. Further research and analysis may be necessary to validate the findings and provide a more accurate answer.

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Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

The solutions of the given inequality from the options are x=2, x=-2 and x=0. Therefore, options B, C and D are correct answer.

The given inequality is (2x-3)/4 + 9 ≥ 3 + 4x/3.

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

Solve the given inequality as follows:

Multiply 4 on both the sides of inequality.

That is, 4 × (2x-3)/4 + 4 × 9 ≥ 4 × (3 + 4x/3)

⇒ (2x - 3) + 36 ≥ 12 + 16x / 3

Multiply 3 on both the sides of inequality.

That is, 3 × (2x - 3) + 3 × 36 ≥ 12 × 3 + (16x / 3) × 3

⇒ 6x - 9 +108 ≥ 36 + 16x

⇒ 6x + 99 ≥ 36 + 16x

Subtract 6x on both the sides of inequality.

That is, 6x + 99 -6x ≥ 36 + 16x -6x

⇒ 99 ≥ 36 + 10x

Subtract 36 on both the sides of inequality.

That is, 99-36 ≥ 10x

⇒ 10x ≤ 63

⇒ x ≤ 6.3

The solutions of the given inequality from the options are x=2, x=-2 and x=0. Therefore, options B, C and D are correct answer.

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Answer:

A

Step-by-step explanation:

The answer is a because essentially what it's asking for is the y intercept.

it gives us what the value of y = 1 so all we have to do is find the constant rate of change which is 3 and subtract that from 8

8-3=5 so your answer is A

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer: Seven trillion i think

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3x^2=15x

Subtract 15x from both sides

3x^2-15x=0

Factor out 3x

3x(x-5)=0

Since 0 divided by any number is zero, we get that:

x-5=0

x=5

Answer:

58,578

Step-by-step explanation:

1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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