Macy wants to know if the number of words on a page in her grammar book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.  MeanMedianMean Absolute DeviationGrammar49.7418.4Math34.5441.9 She claims that because the mean number of words on each page in the grammar book is greater than the mean number of words on each page in the math book, the grammar book has more words per page. Based on the data, is this a valid inference? (1 point)  a No, because there is a lot of variability in the grammar book data.  b Yes, because there is a lot of variability in the grammar book data.  c Yes, because the mean is larger in the grammar book.  d No, because the mean is larger in the grammar book.​

To send the frequency distribution data to Excel, you can follow these steps:

1. Open Excel on your computer.

2. Create a new worksheet or open an existing one where you want to import the data.

3. Label the first column as "Number of Tests Performed" and the second column as "Number of Patients".

4. In the first column, enter the values 0, 1, 2, 3, and 4 or more in separate cells, corresponding to the number of tests performed.

5. In the second column, enter the corresponding values 14, 8, 4, 4, and 2, which represent the number of patients for each category of tests.

6. Select both columns by clicking and dragging over the cells.

7. Go to the "Copy" option in the Excel toolbar or use the Ctrl+C keyboard shortcut to copy the selected data.

8. Switch to the Excel worksheet where you want to paste the data.

9. Select the first cell where you want to paste the data.

10. Right-click on the cell and choose the "Paste" option or use the Ctrl+V keyboard shortcut to paste the data.

Now, the frequency distribution data from the emergency room tests should be successfully transferred to Excel.

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Answer: yes

Step-by-step explanation: i just did 450 / 5, 9, and 10

After simplifying i^61 we get the answer is i

Define Complex number

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labelled i sometimes known as the imaginary unit, and satisfying the equation i² = 1.

We have the given expression : i ^ 61

Rewrite it,

i ^ 61 as (i^4)^15 * i

we know, i² = -1

so, i ^ 4 = i² * i² = -1 * -1 = 1

so, put i ^ 4 value,

⇒1^15 * i

power 1 to the 15 is 1,

⇒1 * i

⇒ i

Hence, the answer is ' i '

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Answer:

The answer choice is D.

Step-by-step explanation:

Multiply 5 and 8

= 40

Then put d to 40

=40d

And also multiply 6 with 5

which equals to 30.

Now the expression would be: 40d + 30

\(y = \frac{1}{2}x +2\\\)

Equations of a line written in Slope-Intercept Form are usually written as \(y = mx +b\) where \(b\) is the constant and is also the \(y\)-intercept. \(mx\) is the \(x\) term where \(m\) is the slope. Also, the \(y\) term is usually found at left side of the equation and it has to have \(1\) as its coefficient.

From the given equation we can see the constant \(-8\) is on the left side but only the \(y\) term gets to be on the left side so let's add \(8\) to both sides of the equation to cancel out \(-8\).

\(4y -8 = 2x \\ 4y -8 +8 = 2x +8 \\ 4y = 2x +8\)

We can also see that the \(y\) term has a coefficient of \(4\). So let's divide both sides of the equation by \(4\) to make the coefficient of the \(y\) term to \(1\)

\(4y = 2x +8 \\ \frac{4y}{4} = \frac{2x +8}{4} \\ y = \frac{1}{2}x +2\)

Based on the information provided, the total tax this person will need to pay is $2,622,2.

The amount of money you pay for taxes depends on your income as there are specific percentages to be paid. In the case the income is $25000, this income matches the range $7,825 - $31,850, and therefore you should pay 50 plus 15 percent of the amount over 7,825. Based on this, let's calculate the money to be paid:

$25,000 - $7852 = $17, 148 x 0.15 (15%) = $2,572.2 + $50 = $2622.2

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Answer:

$15

Step-by-step explanation:

Discount = $50 x 30% = $15

Step-by-step explanation:

❁ \( \underline{ \underline{ \large{ \tt{ \: G \: I \: V \: E \: N}}}} : \)

❁ \( \underline{ \underline{ \large{ \tt{ T \: O \: \: F \: I \: N \: D}}}} : \)

❁ \( \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : \)

\( \boxed{ \sf{Discount \: amount = Dis\% \: of \:MP}}\)

Plug the known values :

➝ \( \large{ \tt{30\% \: of \: 50}}\)

Convert 30% to fraction. For that divide 30 by 100 and remove the percentage symbol.

➝ \( \large{ \tt{ \frac{30}{100} \times 50}}\)

➝ \( \large{ \tt{ \bold{ \$ \: 15}}}\)

\( \large{ \underline{ \pink {\boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{ \bold{ \$ \: 15}}}}}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day! ツ

# \( \underline{ \underbrace{\tt{ \pink{Carry \: on \: learning ! }}}}\)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

A

Step-by-step explanation:

y = x - 2

Well A should work. Let's try it.

y = 3 - 2

y = 1

So (3,1) is a solution

1,3

1 - 2 = -1. That's not the same as 3 so B does not work.

(-1,3)

y = -1 - 2

y = - 3  So this doesn't work either.

3,-1

y = 3 - 2

y = 1           just as we found for A. D is not an answer. The answer is A.

Correct option is C. They use the ground for feeding more often than

for perching.

High-flying animals use the ground for food and movement, but very rarely perch. The passage indicates that flying animals flap their wings when climbing steep slopes and runways.

Therefore, option D is incorrect. The statements of option A and B are not supported by text and are therefore incorrect.

"At field sites around the world, Ken Dial saw a pattern in how young pheasants, quail, tinamous, and other ground birds ran along behind their parents. “They jumped up like popcorn,” he said, describing how they would flap their half-formed wings and take short hops into the air. So when a group of graduate students challenged him to come up with new data on the age‑old ground-up-tree-down debate, he designed a project to see what clues might lie in how baby game birds learned to fly.

Ken settled on the Chukar Partridge as a model species, but he might not have made his discovery without a key piece of advice from the local rancher in Montana who was supplying him with birds. When the cowboy stopped by to see how things were going, Ken showed him his nice, tidy laboratory setup and explained how the birds’ first hops and flights would be measured. The rancher was incredulous.

...........................................

W A I R takes on surprising explanatory powers. With one fell swoop, the Dials came up with a viable origin for the flapping flight stroke of birds (something gliding animals don’t do and thus a shortcoming of the tree-down theory) and an aerodynamic function for half-formed wings (one of the main drawbacks to the ground-up hypothesis)."

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The number of travel books sold each month is 1598.

To find the number of travel books sold each month, we need to multiply the total number of books sold by the percentage of books that are in the travel category.

The given pie chart shows the distribution of the most popular book categories sold by Book Street Books, expressed as percentages of the total number of books sold each month.

The percentage of books sold that are travel books is 47%, so we need to multiply 0.47 by the total number of books sold

Number of travel books sold = 0.47 x 3400

Multiply the numbers

= 1598

Rounding this to the nearest integer gives us

Number of travel books sold each month = 1598

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The given question is incomplete, the complete question is:

Book street books sells about 3400 books each month. the pie chart displays the most popular book categories, by percentage, each month. find the number of travel books sold each month. round your answer to the nearest integer.

Answer:

Step-by-step explanation:

12

This is what we call a 45-45 traingle

This means that the lengths of the two non-hyptonouse lengths are the same

luckily we're given that it's 6√2

We can then use the pathagaryem theory to solve for the last side

we have

(6√2)²+(6√2)²=x²

Put this into your calculator and get

144= x²

x = 12

The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.

From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.

Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.

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By using Akaike Information Criterion(AIC) to compare various models , We need to consider 16 models to find the one with lowest AIC.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

A mathematical tool for assessing how well a model matches the data it was derived from is the Akaike information criterion (AIC).

It's formula is:

AIC=2k-2ln(L)

predictors=independent variables=3

k=independent variables+1=4

Categorical variable= 4 levels

Total number of models to be considered = 4 * 4 =16

Since, Every layer (characteristics of variable) must interact with the predictors variable to calculate AIC and find the lowest one.

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The kind of sample that is described in the scenario is a lottery sample.

The lottery sample is the kind of sample that is described in the scenario in which 500 people attend a charity event, and each of them buys a raffle ticket.

The ticket stubs are placed in a drum and mixed thoroughly, and out of them, a few are drawn.

People whose tickets are drawn are declared winners of a prize. It is a type of probability sampling that depends on the element of chance.

In this type of sample, the probability of selecting an element is unknown and cannot be measured. I

t is a random process in which the probability of winning or being selected for the sample is entirely based on chance.

Hence, the lottery sampling technique is the appropriate one in the scenario.

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Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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The difference quotient for the function f(x) = 69x + 2 is a constant value of 69. This means that the average rate of change of the function over any interval is always 69.

To evaluate and simplify the difference quotient for the function f(x) = 69x + 2, we first need to understand what the difference quotient represents. The difference quotient is a mathematical expression that measures the average rate of change of a function over a given interval. It is defined as:

[f(x + h) - f(x)] / h,

where h represents a small change in the x-values.

Let's proceed with calculating the difference quotient for the given function:

[f(x + h) - f(x)] / h

= [(69(x + h) + 2) - (69x + 2)] / h

= [69x + 69h + 2 - 69x - 2] / h

= (69h) / h

= 69.

To simplify the expression, we used the distributive property to expand the function f(x + h). Then, we simplified the numerator by combining like terms. The constant terms 2 and -2 canceled each other out. The h term in the numerator can be factored out, which allows us to cancel it out with the h term in the denominator. Finally, we are left with the simplified expression of 69.

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Answer:

a= 2/(x-5)

Step-by-step explanation:

y=a(x-5)+4. If the y intercept is -6

=> 6= a(x-5)+4

=> a(x-5)=6-4=2

=> a= 2/(x-5)

Answer:

this is the answer

Step-by-step explanation:

748 024 578

The range of the 200 measurements is 17 cm and one of the measurements is 49.5 cm, it is possible for another measurement to be 34 cm (option d).

To determine if a particular measurement can be one of the 200 measurements, we need to consider the range of the measurements and the given measurement of 49.5 cm. The range is calculated by subtracting the smallest measurement from the largest measurement. In this case, the range is 17 cm. Since the given measurement is 49.5 cm, the smallest measurement would be 49.5 - 17 = 32.5 cm.

Considering the options provided, only 34 cm falls within the range of possible measurements (32.5 cm to 49.5 cm). Therefore, 34 cm could be another one of the 200 measurements.

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Answer:

Tia would have to buy 5 packages of cups which equals 60 cups and cost $15. She would then have to buy 6 packages of paper plates which equals 60 plates and cost $32.42. Altogether Tia would have to buy 6 packages of plates and 5 packages of cup for the cost of $48.42.

Hope it helps :)

Brainliest pls?

Have a good day/night

Answer:

yes i can help you

Step-by-step explanation:

Evaluation of x³-6x² +8x is "x(x-4)(x-2)".

Factorising x³-6x² +8x

Factor out x

x(x² -6x+8)

Factor the expression by grouping. First, the expression needs to be rewritten as x²+ax+bx+8. Find a and b,

a+b=-6

ab=1 X 8=8

As ab is positive, a and b have the same sign. As a+b is negative, a and b are negative. List all such integer pairs that give product 8.

-1, -8

-2, -4

Calculate the sum of each pair

-1-8= -9

-2-4= -6

The solution is the pair that answers the sum -6.

Thus, a= -4, b= -2

Rewrite x² -6x+8 as (x²-4x)+(-2x+8)

Factor out x

x(x-4)-2(x-4)

Factor out common terms by using the distributive property, that is A (B - C) = AB - AC

(x-4) (x-2)

Rewrite the complete factored expression

x(x-4) (x-2)

Thus, the answer to the factorization of equation x³-6x² +8x is x(x-4) (x-2).

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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By applying either of these methods and confirming that the solution satisfies both equations, you can verify the correctness of the answer without relying on graphing.

1. To graph the line represented by the equation y = mx + b in slope-intercept form, you can follow these steps:

- Identify the slope (m) and the y-intercept (b) from the equation. The slope represents the rate of change of the line, while the y-intercept is the point where the line intersects the y-axis.

- Plot the y-intercept on the coordinate plane. This point will have coordinates (0, b).

- Use the slope to determine additional points on the line. The slope tells you how much the y-coordinate changes for every unit increase in the x-coordinate. For example, if the slope is 2, for every unit increase in x, the y-coordinate will increase by 2 units. So you can choose another point by starting from the y-intercept and moving horizontally (increasing x) and vertically (increasing y) according to the slope.

- Connect the plotted points with a straight line. This line represents the graph of the equation y = mx + b.

2. When the equation is in standard form Ax + By = C (where C ≠ 0), you can graph the line using the following steps:

- Rewrite the equation in slope-intercept form by solving for y. For example, if the equation is 2x + 3y = 6, you can rewrite it as y = (-2/3)x + 2.

- Identify the slope and y-intercept from the rewritten equation.

- Plot the y-intercept on the coordinate plane.

- Use the slope to determine additional points and plot them accordingly.

- Connect the plotted points with a straight line, representing the graph of the equation Ax + By = C.

3. A straight line is a geometric figure that extends infinitely in both directions and has a constant slope. It can be represented by an equation in various forms, such as slope-intercept form (y = mx + b) or standard form (Ax + By = C). Straight lines have a uniform rate of change and do not curve or bend.

4. When you have the equations for two different lines, "solving" the system of equations means finding the point of intersection, if any, where the two lines cross each other. This point represents the coordinates that satisfy both equations simultaneously. Solving the system involves finding values for x and y that make both equations true at the same time.

5. To check the correctness of a solution to a 2x2 system of equations without graphing the lines, you can use the method of substitution or the method of elimination. Here's a brief explanation of both methods:

- Substitution method: Take the values of x and y from the solution and substitute them back into both equations. If the resulting expressions on both sides of the equations are equal, the solution is correct.

- Elimination method: Add or subtract the equations in a way that eliminates one variable. Solve for the remaining variable. Then substitute the found value back into one of the original equations. If both sides of the equation are equal, the solution is correct.

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Answer:

\(\boxed {b = 3}\)

Step-by-step explanation:

Solve for the value of \(b\):

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

-Use Distributive Property:

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

-Combine like terms:

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

\(-10 + 20b = 29 + 7b\)

-Take \(7b\) and subtract it from \(20b\):

\(-10 + 20b - 7b = 29 + 7b - 7b\)

\(-10 + 13b = 29\)

-Add \(10\) on both sides:

\(-10 + 10 + 13b = 29 + 10\)

\(13b = 39\)

-Divide both sides by \(13\):

\(\frac{13b}{13} = \frac{39}{13}\)

\(\boxed {b = 3}\)

Therefore, the value of \(b\) is \(3\).

The collection gadget with the given transfer function and an enter of x(t) = cos(t) has a frequency response given through Y(s) = cos(t) * \([8(s+1)/(s+2)(s^2 + 4)]\). The gadget is solid due to the poor real part of the pole at s = -2. The absence of zeros in addition contributes to system stability.

To set up the frequency reaction of the collection system, we want to calculate the output Y(s) inside the Laplace domain given the input X(s) = cos(t) and the transfer function of the device.

The switch function of the series machine, as proven in Figure 1, is given as H(s) = \(8(s+1)/(s+2)(s^2 + 4).\)

To locate the output Y(s), we multiply the enter X(s) with the aid of the transfer feature H(s) and take the inverse Laplace remodel:

Y(s) = X(s) * H(s)

Y(s) = cos(t) * \([8(s+1)/(s+2)(s^2 + 4)]\)

Next, we want to determine the stability of the overall gadget. The stability is determined with the aid of analyzing the poles of the switch characteristic.

The poles of the transfer feature H(s) are the values of s that make the denominator of H(s) equal to 0. By putting the denominator same to zero and solving for s, we are able to find the poles of the machine.

S+2 = 0

s = -2

\(s^2 + 4\)= 0

\(s^2\) = -4

s = ±2i

The machine has one actual pole at s = -2 and complicated poles at s = 2i and s = -2i. To investigate balance, we observe the actual parts of the poles.

Since the real part of the pole at s = -2 is poor, the system is stable. The complicated poles at s = 2i and s = -2i have 0 real elements, which additionally contribute to stability.

Sketching the poles and zeros at the complex plane, we see that the machine has an unmarried real pole at s = -2 and no 0. The pole at s = -2 indicates balance because it has a bad real component.

In conclusion, the collection gadget with the given transfer function and an enter of x(t) = cos(t) has a frequency response given through Y(s) = cos(t) *\([8(s+1)/(s+2)(s^2 + 4)]\). The gadget is solid due to the poor real part of the pole at s = -2. The absence of zeros in addition contributes to system stability.

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The correct question is:

" Establish the frequency response of the series system with transfer function as specified in Figure 1, with an input of x(t) = cos(t). Determine the stability of the connected overall system shown in Figure 1. Also, sketch values of system poles and zeros and explain your answer in terms of the contribution made by the poles and zeros to overall system stability. x(t) 8 5 s+1 s+2 Figure 1 Block diagram of series system s+2 S² +4"

Answer:

it's AAS is my opinion

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!

Answer:

128 cm²

Step-by-step explanation:

given the scale factor of sides = 3 , then

ratio of surface area = 3² = 9

then the surface area of the smaller pyramid is

1152 cm² ÷ 9 = 128 cm²

Josue has 8 pennies and 5 Nickels and N+P=13 and 0.01P + 0.05N ≥ 0.33 are system of equations that could be used to determine the number of pennies and the number of nickels that Josue has

Two or more expressions with an Equal sign is called as Equation.

Given,

Josue has $0.33 worth of pennies and nickels.

total of 13 pennies and nickels altogether.

Let N be number of Nickels and P be number of Pennies

P + N =13..(1)

Therefore

0.01P + 0.05N ≥ 0.33..(2)

From 1,

P=13-N

0.01(13-N)+0.05N ≥ 0.33

0.13-0.01N+0.05N ≥ 0.33

0.13+0.04N ≥ 0.33

0.04N≥ 0.33-0.13

0.04N≥ 0.33-0.13

0.04N≥ 0.2

Divide both sides by 0.04

N=5

From 1, N+P=13

5+P=13

Subtract 5 from both sides

P=13-5

P=8

Hence, Josue has 8 pennies and 5 Nickels and N+P=13 and 0.01P + 0.05N ≥ 0.33 are system of equations that could be used to determine the number of pennies and the number of nickels that Josue has

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