Find the perimeter of the polygon.
5 cm
6 cm
6 cm
8 cm
a.
25 cm
b. 20 cm
c.
30 cm
d. 28 cm

Answer: (x - 3) (x + 1)

Step-by-step explanation:

To factorize the quadratic expression x^2 - 2x - 3, we are looking for two binomial factors that, when multiplied together, will give us the original expression.

The expression can be factored as follows:

x^2 - 2x - 3 = (x - 3)(x + 1)

The factors are (x - 3) and (x + 1).

Answer:

8 minutes

Step-by-step explanation:

The first pump can drain in 8 minutes, therefore:

Rate of the first pump = 1/8

Working together, they can drain the pool in 4 minutes, therefore:

Rate of both pumps = 1/4

Let the time taken by the second pump =t

Rate of the second pump = 1/t.

We then have:

\(\dfrac{1}{8}+ \dfrac{1}{t}=\dfrac{1}{4}\\$Collect like terms$\\\dfrac{1}{t}=\dfrac{1}{4}-\dfrac{1}{8}\\\dfrac{1}{t}=\dfrac{2-1}{8}\\\dfrac{1}{t}=\dfrac{1}{8}\\$Therefore:\\t = 8 minutes\)

It would take the second pump 8 minutes to drain the pool alone.

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

If 50% of the watches produced by the factory are defective, and the store buys a random sample of 400 watches, we can expect approximately 200 of those watches to be defective.

Considering that 50% of the watches produced by the factory are defective, and assuming that the store's purchase of 400 watches represents a random sample, we can expect around 200 of those watches to be defective.

This estimation is based on the assumption that the proportion of defective watches in the sample aligns with the overall proportion in the factory's production. it's important to note that there might be some variability, and the actual number of defective watches in the sample could differ slightly from the expected 200.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

x = -2

Step-by-step explanation:

-7x + 23 = 37

~Subtract 23 to both sides

-7x = 14

~Divide -7 to both sides

x = -2

Best of Luck!

Answer:   True

Step-by-step explanation:

The term inside the parentheses after the summation sign is

       x-sub-i    minus    x-bar

x-bar is the mean average of all the individual n observations. In statistics, it is usually just called the 'mean' for short.

x-sub-i stands for each individual observation: x-sub-1, x-sub-2, and so on

So that means (x-sub-i   -   x-bar) means the difference we get if we do the subtraction, using x-sub-i as the first term in the subtraction.

For an illustration of this, suppose we have a sequence of 5 observations. Since there are 5 observations, n = 5.

x-sub-1  = 4

x-sub-2 = 7

x-sub-3 = 3

x-sub-4 = 11

x-sub-5 = 5

We obtain the mean by adding all the observations and then dividing by the number of observations, n.

The sum 4+7+3+11+5 = 30 and 30/5 = 6.

So the mean, x-bar, = 6.

Now let's look at all the differences between each observation and x-bar.

In the same order as the observations, we get

4 - 6  = -2

7 - 6  =  1

3 - 6 = -3

11 - 6 = 5

5 - 6  = -1

If we add up all the differences, just like we are doing in the summation homework problem, we have (-2)+1+(-3)+5+(-1) = 0.

It also works if you make x-bar the first term in the subtraction. Either way will work, as long as you are consistent about it from one subtraction to the next.

This is always the case with a mean average, so the summation is assured to be zero.

I hope this helps.

Answer:

No, I used a proportion to find the number of students in the school who likely to prefer to play sports.

Step-by-step explanation:

23/80 = 115/400; 115 students

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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Answer:

what is the question so I can answer

The probability of obtaining sufficient participants for their study is 0.0029.

The probability of researchers at a firm finding enough subjects for their study can be calculated using binomial probability.

Binomial probability is a probability distribution that calculates the probability of one event's occurrence in a specified number of experiments or trials that produce either positive or negative outcomes.

The probability that an event will occur in n number of trials or experiments is determined using the following formula:

P(X=a) = ⁿCₐ * p^a * (1-p)^(n-a)

Where ⁿCₐ is the number of combinations of "n" items taken "a" at a time.

"p" is the probability of an event occurring.

"(1-p)" is the probability of an event not occurring.

"n" is the number of experiments, and "a" is the number of successful events.

Let us solve the problem now. We have n = 729 and p = 0.04

We need to find out the probability of finding 19 children with the gene for their study. This means that we need to find out P(X=19)Now, we can calculate it as:

P(X=19) = ⁿCₐ * p^a * (1-p)^(n-a)

Putting the given values, we get:

P(X=19) = ⁷²⁹C₁₉ * (0.04)^19 * (1 - 0.04)^(729 - 19)

≈ 0.0029

Hence, the probability of finding enough subjects for their study is 0.0029.

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The methods used to summarize or describe characteristics of data are called descriptive statistics.

Descriptive statistics refers to the branch of statistics that focuses on summarizing and describing the main features or characteristics of a dataset. These statistics provide a way to organize, present, and analyze data to gain insights and understand the data's properties. Here are some key points about descriptive statistics:

Data summarization: Descriptive statistics aim to summarize the main aspects of a dataset, including measures of central tendency (such as mean, median, and mode) that provide information about the typical or average value of the data. Measures of dispersion (such as range, variance, and standard deviation) describe the spread or variability of the data points.

Presentation and visualization: Descriptive statistics often involve presenting data in a meaningful and concise manner. This can be done through various graphical representations, such as histograms, bar charts, box plots, or scatter plots. These visualizations help to provide a clear understanding of the distribution, patterns, and relationships within the data.

Sample statistics and population parameters: Descriptive statistics can be calculated for either a sample or an entire population. Sample statistics are calculated based on data from a subset of the population, while population parameters describe the entire population. Sample statistics, such as sample mean or sample standard deviation, provide estimates or approximations of the population parameters.

Descriptive statistics are widely used in various fields, including social sciences, business, healthcare, finance, and many others. They offer a concise and informative summary of data, enabling researchers, analysts, and decision-makers to gain insights, communicate findings, and make informed decisions based on the characteristics of the data.

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The value of an 8 in the tens place as a fraction of an 8 in the hundreds place is 1 / 10.

In the number system we use, each digit's value is determined by its position and is ten times the value of the digit to its right. Therefore, the value of an 8 in the tens place is 10 times the value of an 8 in the ones place.

Likewise, the value of an 8 in the hundreds place is 10 times the value of an 8 in the tens place, which in turn is 10 times the value of an 8 in the ones place. Therefore, the value of an 8 in the hundreds place is 10 x 10 times the value of an 8 in the ones place.

So in equation form, we have:

= 8 / 80

= 1 / 10

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Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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In match play, when the players agree to consider the hole tied after it has begun, the ruling is known as "halving the hole."

In match play, if the players agree to consider the hole tied after it has begun, the hole is deemed halved, and the players move on to the next hole without any penalty strokes. This is called "conceding the hole" and is a common practice in match play.

This means that both players receive half a point for the hole, and the match proceeds to the next hole.

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The exact area enclosed by the entire curve is A = 2π (area enclosed by one loop is  4π^2 square units.The area enclosed by one loop of the given polar curve is 2π square units.

A) To sketch the graph of r = 2 sin θ, we can plot points for various values of θ and connect them to form the curve. Here is a rough sketch of the graph:

```

         |

       / | \

     /   |   \

   /     |     \

 /       |       \

/_________|_________\

         θ

```

The curve starts at the origin (0, 0) and extends outward in a wave-like pattern.

B) To find the area enclosed by one loop of the polar curve, we can use the formula for the area of a polar region, which is given by:

A = (1/2) ∫[θ1, θ2] r^2 dθ

Since we want to find the area enclosed by one loop, we need to determine the values of θ1 and θ2 that correspond to one complete loop. In this case, the curve completes one full loop from θ = 0 to θ = 2π.

Therefore, the area enclosed by one loop is:

A = (1/2) ∫[0, 2π] (2 sin θ)^2 dθ

  = (1/2) ∫[0, 2π] 4 sin^2 θ dθ

  = 2 ∫[0, 2π] (1 - cos(2θ))/2 dθ

  = ∫[0, 2π] (1 - cos(2θ)) dθ

  = [θ - (1/2)sin(2θ)] [0, 2π]

  = 2π

Therefore, the area enclosed by one loop of the given polar curve is 2π square units.

C) To find the exact area enclosed by the entire curve, we need to determine the number of loops it completes. Since the given equation is r = 2 sin θ, it completes two full loops from θ = 0 to θ = 4π.

Thus, the exact area enclosed by the entire curve is:

A = 2π (area enclosed by one loop)

 = 2π (2π)

 = 4π^2 square units.

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.............true ?

The slope of a line parallel to 1 2 is also 1 2. The equation for a line parallel to the line with equation y = mx + b is y = mx + b + c, where c is any constant.

The slope of a line parallel to 1 2 is the same as the slope of 1 2, which is 1 2.

The slope of a line is calculated by dividing the change in the y-values by the change in the x-values. In the case of 1 2, this is (2-1)/(2-1), which equals 1/1, or 1 2. So the slope of any line parallel to 1 2 is also 1 2. Parallel slope intercept form is a form of linear equation that describes a line parallel to a given line. It is written as y = mx + b, where m is the slope of the line and b is the y-intercept of the line. This form is useful for finding equations of lines that are parallel to a given line.

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Answer:

The first one, third one, fourth one, and sixth one.

Step-by-step explanation:

I hope this helps!

The margin of error by multiplying the standard error by the critical value: ME = 1.96 * SE

To find the margin of error, we first calculate the standard error (SE) of the difference between the sample proportions. The formula for SE is:

SE = sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2))

Here, p1 and p2 are the sample proportions, and n1 and n2 are the respective sample sizes. In this case, x1 = 251, x2 = 77, n1 = 392, and n2 = 259.

The sample proportions are calculated as:

p1 = x1 / n1

p2 = x2 / n2

Next, we substitute the values into the formula to find the standard error:

SE = sqrt((251/392)*(1-(251/392))/392) + ((77/259)*(1-(77/259))/259))

Once we have the standard error, we can find the margin of error (ME), which is calculated as:

ME = z * SE

For a 95% confidence level, the critical value z is approximately 1.96.

Finally, we calculate the margin of error by multiplying the standard error by the critical value:

ME = 1.96 * SE

Round the answer to six decimal places to obtain the margin of error.

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Answer:

-12.6

Step-by-step explanation:

Answer:

12.6 this is the answer

Step-by-step explanation:

sporting get up in subtracting numbers

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Answer:

y = - 2x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 and c = 4 ( crosses y- axis at (0, 4 ) ) , then

y = - 2x + 4 ← equation of line

Answer:

2,10

Step-by-step explanation:

we can see where the line touches the x-axis but right at the line making the points have a 0 as the y, (2,0) and (10,0) the others have don´t have 0 in the y place. To make it short there are 2 points touching the x-axis, not above or below but on the line.  

Answer:

1/2

Step-by-step explanation:

since every time you divide by 2, the common ratio is 1/2

Answer:

Based on the alternating series test, we can conclude that the series Σ((-1)^n)/(2^(5+n)) converges.

Step-by-step explanation:

To determine if the series Σ((-1)^n)/(2^(5+n)) converges or diverges, we can use the alternating series test.

The alternating series test states that if a series has the form Σ((-1)^n)*b_n or Σ((-1)^(n+1))*b_n, where b_n is a positive sequence that decreases monotonically to 0, then the series converges.

In the given series, we have Σ((-1)^n)/(2^(5+n)). Let's analyze the terms:

b_n = 1/(2^(5+n))

The sequence b_n is positive for all n and decreases monotonically to 0 as n approaches infinity. This satisfies the conditions of the alternating series test.

Therefore, based on the alternating series test, we can conclude that the series Σ((-1)^n)/(2^(5+n)) converges.

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Hi!

1.)

a:A u B=

\((1.0. - 5. \frac{1}{2} .e)\)

(The same elements are written once.)

b:A u C

\((1.0 - 5. \frac{1}{2} .2)\)

c:B u C

\(( - 5 .1.e.0.2)\)

Note:I used dots to mean commas .

Good work!

Answer:

C. Eating bagels instead of eating doughnuts provides no real health benefits.

Step-by-step explanation:

There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.