What is the slope of 3x 5y =- 15?

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Answer:  f(x) = 2x - 3

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

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

y - (-5) = 2(x - (-1))

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3

Answer:C

Step-by-step explanation:

Answer:

24 brownies

Step-by-step explanation:

You have to multiply 6x4 because there are 6 baskets and 4 brownies being split

Answer:

15

Step-by-step explanation:

The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.

Answer:

15

Step-by-step explanation:

So, to find the hypotenuse you must use the pythagreons theorm:

A^2+B^2=C^2

Now, we knowt hat A and B is the side lengths.(9 and 12)

The hyoptenuse is C.

So, lets plug in our values for A and B, and find C:

A^2+B^2=C^2

=

9^2+12^2=C^2

Now lets square each number except for C, since its a unknown value:

81+144=C^2

Now combine the 144 and 81:

225=C^2

Finally, square root both sides so C^2 becomes C:

15=C

So the answer for the hyotenuse is 15!

Hope this helps!

To determine these intervals, one can use the function's critical points, zeros, or other methods, such as testing values or using calculus.

The intervals over which a function is positive, negative, or equal to zero can be determined by analyzing the function's graph. If a function is positive over an interval, its graph is above the x-axis over that interval, meaning that its values are positive. If a function is negative over an interval, its graph is below the x-axis over that interval, meaning that its values are negative. If a function is equal to zero over an interval, its graph passes through the x-axis over that interval, meaning that its values are equal to zero. To determine these intervals, one can use the function's critical points, zeros, or other methods, such as testing values or using calculus.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Step-by-step explanation:

I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).

but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.

just for the undoing the 1/2 :

that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.

so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.

in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1

FYI - the numerator still represents an original "to the power of" operation.

so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).

Answer:

Dont you you jusy divide?

Step-by-step explanation:

Since it is a right triangle, we can apply trigonometric functions:

Tan a = opposite side / adjacent side

Where:

a= angle = x

Opposite side = 98

Adjacent side = 180

Replacing:

Tan x = 98/180

Solve for x

x = arc tan (98/180)

x= 28.57°

Relative frequencies are calculated by dividing the count by the total count in the column or row.

Joint relative frequencies show the proportion of individuals in a specific category of two variables.

They are calculated by dividing the count of individuals in a specific category by the total number of individuals surveyed.

In a two-way table, they are represented by the cells and give a sense of how the two variables are related to each other.

For example, in the given table, the joint relative frequency of males who plan to go to college is 0.35, which means 35% of the surveyed males plan to go to college.

Joint relative frequencies can be used to identify patterns and relationships between two variables, such as how gender and college plans are related.

joint relative frequencies:

Yes No Total

M 0.35 0.23 0.58

F 0.33 0.19 0.52

1

Marginal relative frequencies:

Yes No Total

M 0.58 0.42 1

F 0.52 0.48 1

1

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The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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The mean, standard deviation, of the average number of moths in 30 traps is approximately 0.5 ± 0.018 and is approximately 0.5 respectively. The probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

The mean of the average number of moths in 30 traps can be calculated as the mean of a sample of 30 trap counts, where the mean of each sample follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30) (using the standard error of the mean formula). Therefore, the mean of the average number of moths in 30 traps is:

mean = 0.5 ± 0.1/sqrt(30) = 0.5 ± 0.018

So the mean of the average number of moths in 30 traps is approximately 0.5 ± 0.018.

The standard deviation of the average number of moths in 30 traps can also be calculated using the standard error of the mean formula:

standard deviation = standard error of the mean * sqrt(sample size)

standard deviation = 0.5/sqrt(30) * sqrt(30) = 0.5

So the standard deviation of the average number of moths in 30 traps is approximately 0.5.

Using the central limit theorem, we can assume that the sample mean of the 30 traps follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30). We want to find the probability that the average number of moths in 30 traps is greater than 0.4.

To do this, we can standardize the sample mean using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

z = (0.4 - 0.5) / (0.5/sqrt(30)) = -1.8257

Using a standard normal distribution table or calculator, we can find the probability that Z is greater than -1.8257, which is approximately 0.965. Therefore, the probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

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Answer:

I do not see the question.

Step-by-step explanation:

Answer:

It equals 5 /n2+4n+3

Answer:

C. 5 /n+3

Step-by-step explanation:

Answer:

4x²( x¹0 - 16)

Therefore, the expression 4x¹0-64x² can be rewritten as 4x²(x¹0 - 16) by factoring out the greatest common factor.

4x²(x^8 - 16)

Then, we can use the difference of squares formula to factor x^8 - 16, which gives:

4x²(x^4 + 4)(x^2 + 2)(x^2 - 2)

Therefore, the fully factored form of 4x¹0-64x² is 4x²(x^4 + 4)(x^2 + 2)(x^2 - 2).

Answer:

see explanation

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary, thus

∠ M + ∠ N = 180 , substitute values

3x + 8x - 40 = 180, that is

11x - 40 = 180 ( add 40 to both sides )

11x = 220 ( divide both sides by 11 )

x = 20

Thus

∠ M = 3x = 3(20) = 60°

∠ N = 8x - 40 = 8(20) - 40 = 160 - 40 = 120°

The blanks are filled as follows

Step one

Equation 2x + y = 18 Isolate y,

y = 18 - 2x

Step Two:

Equation 8x - y = 22, Plug in for y

8x - (18 - 2x) = 22

Step Three: Solve for x by isolating it

8x - (18 - 2x) = 22

8x - 18 + 2x = 22

8x + 2x = 22 + 18

10x = 40

x = 4

Step Four: Plug what x equals into your answer for step one and solve

y = 18 - 2x

y = 18 - 2(4)

y = 18 - 8

y = 10

So the solution to the system of equations is x = 40 and y = 10

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For the given function, we have that:

The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.

Hence, the domain is [-4,4] for the given function.

The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.

For this problem, the function does not cross the x-axis, hence it has no zeros.

Looking at a graph, we have that:

Hence, for the given function:

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Answer:

C

Step-by-step explanation:

If you look at the constant terms for each of them, ABD is 18, and only C is 14

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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Answer:

$110 x 7 =$770. A weeks stay at the Plaza Hotel will cost $ 770.00. 7 days multiplied by $110 will cosr $770

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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The statement is true. If both t1 and t2 are one-to-one, then t1 t2 is one-to-one.

Where t1 and t2 are both linear transformations from vector space V to vector space W, this is the result of the composition of functions. The composition t1 t2 is a new function that is formed by applying t1 to the output of t2. If both t1 and t2 are one-to-one, then the composition t1 t2 is also one-to-one.

To prove this, let's assume that t1 t2 is not one-to-one, which means that there exist two different inputs in V that produce the same output in W under t1 t2. Let's call these two inputs x1 and x2, and their corresponding outputs y in W. Since t1 is one-to-one, it follows that t1(x1) and t1(x2) are different vectors in W. However, since t1 t2(x1) = t1 t2(x2) = y, we can see that t2(x1) and t2(x2) are the same vector in V.

This contradicts the assumption that t2 is one-to-one, and therefore the original assumption that t1 t2 is not one-to-one is false. Thus, we can conclude that if t1 and t2 are both one-to-one, then t1 t2 is also one-to-one.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Dividing the given equation by 25 we get:

Applying the natural logarithm to the above equation we get:

Finally, solving for x we get:

Answer: Option A.

The mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

For the mean for the number of people with the genetic mutation in groups of 800, we can multiply the proportion of the population with the mutation by the total number of people in each group.

We know that about 14.5% of the population has the genetic mutation, we can express this as a proportion by dividing 14.5 by 100: 0.145.

Next, we multiply this proportion by the total number of people in each group (800) to find the expected number of people with the genetic mutation in a group of 800:

Mean = Proportion × Total number of people

     = 0.145 × 800

     ≈ 116

Therefore, the mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

This means that, on average, we would expect about 116 out of the 800 people randomly selected to have the genetic mutation where each eye has a different color.

However, it's important to note that this is an expected value and the actual number may vary in each group due to randomness.

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