what is the area of this polygon? enter your answer in the box. units²

The null hypothesis would be H0: p = 0.05. The alternative hypothesis would be Ha: p < 0.05.

When forming hypotheses in this context, we typically state a null hypothesis (H0) and an alternative hypothesis (H1). Here's how you can fill in the blanks:

Null hypothesis (H0): The percentage of U.S. adults who suffer from a mental illness has not changed. H0: p = 0.05

Alternative hypothesis (H1): The percentage of U.S. adults who suffer from a mental illness has decreased. H1: p < 0.05

In this case, "p" represents the percentage of U.S. adults with a mental illness. The social worker will use statistical tests to analyze data and determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

Learn more about the Null Hypothesis:

brainly.com/question/28920252

#SPJ11

Answer:

12 ^ 1/2 or \(\sqrt{12}\)

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as \(\sqrt{ }\)

So the inverse of squaring 12 is

12 ^ 1/2 or \(\sqrt{12}\)

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

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

\(\sqrt{x} = x^{1/2}\)

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

\(\sqrt[n]{x} = x^{1/n}\)

which says the nth root of x is the same as x^(1/n).

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

To learn more about inequatity refer to :

brainly.com/question/2456006

#SPJ1

Answer:

you need to give us the equation or we can't help you

Step-by-step explanation:

i'm sorry if this is not what you're looking for :(

Answer: q = -3, p = 6

Step-by-step explanation:

Multiply second equation by 3. 6q + 9q = 9. Equation one minus equation two which gives you p = 6. Then plug it in the second equation. 12 + 3q = 3. 3q = -9. q = -3.

First, the definition of parallel lines is:

Lines on a plane that never meet. They are always the same distance apart.

Considering the definition we draw the parallel line as a line that has all its points at the same distance of the one that passes through A and B.

Answer:

5/6

Step-by-step explanation:

Answer:

0.013 = 13/1000

0.3125=5/16

0.375 =3/8

0.13=13/100

Step-by-step explanation:

Answer:

x = \(-\frac{1}{3}\), y = 2

Step-by-step explanation:

3x + 3y - 7 = 12x + y

6y - 12x - 1 = -45x

(3x - 12x) + (3y - y) = 7

(-12x + 45x) + 6y = 1

-3(-9x + 2y = 7)

33x + 6y = 1

27x - 6y = -21

33x + 6y = 1

60x = -20 -> x = -20/60 = -1/3

-9x + 2y = 7 -> y = \(\frac{7+9x}{2}\) = \(\frac{7+9*-\frac{1}{3}}{2}\) = 2

Answer:

84

Step-by-step explanation:

This is a combination problem with repetition. Since there is an unlimited number of each type of cookie, we can choose 6 cookies from a pool of 4 types of cookies.

The formula for choosing r items from n types with repetition is:

(n + r - 1)C(r)

Where C is the combination function.

Using this formula, we can calculate the number of ways to choose 6 cookies:

(4 + 6 - 1)C(6) = 9C6 = 84

Therefore, there are 84 ways for Angelina to choose 6 cookies from Sam's Kookie shop, if she can choose any combination of chocolate chip, sugar, oatmeal, and snickerdoodle cookies with unlimited supply.

There is a significant difference between the population proportion of this type of five-syllable sequence in the newly discovered manuscript and Plato's Republic.

To determine whether the population proportion of the type of five-syllable sequence in the newly discovered manuscript is different from Plato's Republic, we can perform a hypothesis test.

Let's set up the null and alternative hypotheses:

Null Hypothesis (H0): The population proportion of the type of five-syllable sequence in the newly discovered manuscript is the same as Plato's Republic.

Alternative Hypothesis (H1): The population proportion of the type of five-syllable sequence in the newly discovered manuscript is different from Plato's Republic.

We are given that in Plato's Republic, approximately 26.1% of the five-syllable sequences are of the type where two syllables are short and three are long.

Now, let's calculate the expected number of sequences of this type in the newly discovered manuscript based on Plato's Republic proportion:

Expected number = Proportion in Plato's Republic * Sample size

= 0.261 * 317

≈ 82.437

Next, we can perform a hypothesis test using a significance level (alpha) that determines the threshold for rejecting the null hypothesis. Let's assume alpha to be 0.05.

Using the binomial distribution, we can calculate the probability of observing 61 or fewer sequences of this type out of a sample size of 317, assuming the null hypothesis is true:

P(X ≤ 61) = sum of binomial probabilities for X = 0 to 61 with n = 317 and p = 0.261

If this probability is less than the significance level (0.05), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Performing the calculations, we find that P(X ≤ 61) ≈ 0.000000001 (very low probability).

Since this probability is extremely small (less than 0.05), we can conclude that the data provide strong evidence to suggest that the population proportion of this type of five-syllable sequence in the newly discovered manuscript is different from Plato's Republic.

Therefore, based on the given data, we can say that there is a significant difference between the population proportion of this type of five-syllable sequence in the newly discovered manuscript and Plato's Republic.

learn more about proportion here

https://brainly.com/question/33460130

#SPJ11

The y-intercept of the line of best fit is the value of y when the x-value is equal to 0, which in this case would represent the predicted grade of a student who reported 0 hours of study.

Intercept is a mathematical concept that describes the point at which a line crosses the y-axis on a graph. It is represented by the letter ‘b’ and is the point at which the line of best fit intersects with the y-axis. When graphing a linear equation, the intercept can be determined by substituting a value of ‘0’ for the x-variable in the equation. This will provide the y-value at which the line crosses the y-axis, which is the intercept. Intercepts are useful in many mathematical applications, such as in physics or economics, as they can provide insight into the behavior of a system.

To learn more about intercept
https://brainly.com/question/24212383
#SPJ1

In Algebra 2, the concept of linear functions and rate of change is introduced. Linear functions are represented by equations in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

The slope represents the rate of change of the function, indicating how much the dependent variable (y) changes for every unit change in the independent variable (x). It measures the steepness or inclination of the line. By analyzing the slope, one can determine if the function is increasing or decreasing and the direction of the line.

Linear functions are fundamental in algebra, as they describe relationships that can be represented by straight lines on a graph. The slope of a linear function is a crucial concept, as it quantifies the rate of change. The slope is calculated by finding the ratio of the vertical change (change in y) to the horizontal change (change in x) between any two points on the line. This rate of change indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x). A positive slope indicates an increasing function, while a negative slope represents a decreasing function. The magnitude of the slope determines the steepness of the line. The y-intercept, represented by the value of b, indicates the point where the line crosses the y-axis.

In the context of the mentioned textbook pages (20-21), it is likely that you will find explanations, examples, and practice problems related to linear functions, rate of change, slope, and y-intercept. These pages may cover topics such as finding the slope given two points, determining the equation of a line given its slope and y-intercept, graphing linear functions, and understanding the relationship between the slope and rate of change. It is recommended to refer to your textbook directly to access the specific content and exercises provided on those pages.

To learn more about linear functions: -brainly.com/question/21107621

#SPJ11

The correct answer is OD. 8x + 1.

To divide 8x³ + x² - 32x - 4 by x² - 4, we can use polynomial long division.

The dividend is 8x³ + x² - 32x - 4, and the divisor is x² - 4.

We start by dividing the highest degree term, which is 8x³, by x². This gives us 8x.

Next, we multiply the divisor x² - 4 by the quotient 8x. The result is 8x³ - 32x.

Subtracting 8x³ - 32x from the dividend, we get x² - 32x.

Now, we divide x² - 32x by x² - 4. This gives us 1.

Multiplying the divisor x² - 4 by the quotient 1, we get x² - 4.

Subtracting x² - 4 from the remaining dividend, which is -32x, we get -32x + 4.

Since we can no longer divide, the final result is the quotient we obtained: 8x + 1.

Therefore, the correct answer is:

OD. 8x + 1.

for such more question on polynomial

https://brainly.com/question/15702527

#SPJ8

The equivalent expression is $\boxed{4^{15} \cdot 5^{10}}$.

We can simplify the expression inside the parentheses first, using the rule that says when you raise a power to another power, you multiply the exponents:

$\left(\dfrac{4^{3}}{5^{-2}}\right)^{5} = \left(4^{3} \cdot 5^{2}\right)^{5}$

Now, we can use the rule that says when you raise a product to a power, you raise each factor to the power:

$\left(4^{3} \cdot 5^{2}\right)^{5} = 4^{3 \cdot 5} \cdot 5^{2 \cdot 5}$

Simplifying further:

$4^{3 \cdot 5} \cdot 5^{2 \cdot 5} = 4^{15} \cdot 5^{10}$

we can substitute this expression back into the original expression:

$\left(\dfrac{4^{3}}{5^{-2}}\right)^{5} = \left(4^{3} \cdot 5^{2}\right)^{5}$

To simplify this expression further, we can use the rule that says when you raise a product to a power, you raise each factor to the power:

$\left(4^{3} \cdot 5^{2}\right)^{5} = 4^{3 \cdot 5} \cdot 5^{2 \cdot 5}$

Simplifying the exponents, we get:

$4^{3 \cdot 5} \cdot 5^{2 \cdot 5} = 4^{15} \cdot 5^{10}$

Learn more about Angles

https://brainly.com/question/26111088

#SPJ11

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

Learn more about inequality at https://brainly.com/question/25275758

#SPJ1

Answer: -49.25 feet below sea level

Explanation: 30.75 - 30.75 - 18.5 = -49.5

Hope this helps!

Answer:

118906

Step-by-step explanation:

that's the answer

Of the 180 students in a college course, of the 4 1 students earned an a for the course, of the students 3 earned a b for the course, and the rest of the students earned a c for the course. So, 136 students earned a C for the course.

To find the number of students who earned a C in the course, we'll follow these steps:

1. Determine the total number of students in the course.
2. Find out how many students earned an A and how many earned a B.
3. Subtract the number of A and B students from the total to find the number of C students.

We are given that there are 180 students in the course. It is also mentioned that 41 students earned an A and 3 students earned a B.

Now let's perform the calculations:

Step 1: We know that the total number of students is 180.

Step 2: We need to find the combined number of A and B students. We are given that 41 students earned an A, and 3 students earned a B. So, to find the total number of A and B students, we simply add these two numbers:

41 (A students) + 3 (B students) = 44 (A and B students)

Step 3: To find the number of C students, we subtract the total number of A and B students (44) from the total number of students (180):

180 (total students) - 44 (A and B students) = 136 (C students)

So, 136 students earned a C for the course.

To know more about college refer here:

https://brainly.com/question/30452149

#SPJ11

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

\(\frac{29}{20}\)= p x \(\frac{20}{20}\)

now u end up with 1.45=p

hope it helped

Answer:

If Frank is planting b seeds in one and 5b + 10 in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.

brainliest?

The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.

The voltage across 8 identical bulbs is 110 V

Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V

According to the question,

The current flowing through the bulb = 0.56 A

So according to Ohm's Law,

V = IR

13.75 = 0.56 * R

R = 24.55 Ω

The power dissipated in each bulb can be calculated as

P = VI

P = 13.75 * 0.56 = 7.7 W

Learn more about Ohm's Law:

https://brainly.com/question/19892453

#SPJ4

In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.

When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:

Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb

Next, use Ohm's Law to find the resistance of each bulb:

Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb

Finally, find the power dissipated in each bulb using the formula:

Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb

To learn more about voltage visit;

https://brainly.com/question/29445057

#SPJ11

Answer:

the correct answer is y = 2x+1

Answer:

Step-by-step explanation:

An identity is an equation which is always true, no matter what values are substituted. 2 x + 3 x = 5 x is an identity because 2 x + 3 x will always equal regardless of the value of . Identities can be written with the sign ≡, so the example could be written as 2 x + 3 x ≡ 5 x .

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

Learn more about Probability here :

https://brainly.com/question/14210034

#SPJ1

For the function f(x) = -a probability density function the total area under the curve of f(x) over the interval [0, ∞) is equal to 15, which is not equal to 1.

For a function to be a probability density function (PDF), it must satisfy the following conditions:

f(x) is non-negative for all x in the given interval.

The total area under the curve of f(x) over the given interval must be equal to 1.

Let's check if the given function f(x) = \(e^{(-x/15)}\) satisfies these conditions on the interval [0, ∞):

The function f(x) = \(e^{(-x/15)}\) is always positive on the interval [0, ∞), since \(e^{(-x/15)}\) is a positive exponential function for all x.

To check if the total area under the curve of f(x) over the interval [0, ∞) is equal to 1, we can evaluate the definite integral:

∫[0,∞] \(e^{(-x/15)}\) dx

Using u-substitution with u = -x/15 and du = (-1/15) dx, we get:

∫[0,∞] \(e^{(-x/15)}\) dx = (-15) ∫[0,∞] \(e^u\) du = (-15) \([e^u]_{[0,\infty]}\) = (-15) [\(e^{(-\infty)}\) - \(e^{(0)}\)]

Since \(e^{(-\infty)}\) is equal to zero, we get:

∫[0,∞] \(e^{(-x/15)}\) dx = 15

Learn more about the probability density function at

https://brainly.com/question/31039386

#SPJ4

Answer:

2x-4

Step-by-step explanation:

2x-4

mx+b format

Answer:

x=6

Step-by-step explanation:

convert the mixed number to a improper fraction..then multiply both sides of the equation by 6...collect like terms..then divide both sides by 37..then you should get your answer...