(b) In fact, 16 of the tests were significant at the 5% level and 6 tests were significant at the 1% level, but these significant results were not evenly spread out over the different response variables. In each case below, compare the number of significant results to the number expected just by random chance at each level. (Don't round off your answers.) Does increased arts education appear to have a statistically significant impact in the areas specified? (i) Forty-eight of the tests were in four areas (absences, math, reading, and science) and had only 1 result significant at the 5% level and no results significant at the 1% level. At the 5\% level: Expected just by random chance: Number of significant tests observed: At the 1\% level: Expected just by random chance: Number of significant tests observed: Does increased arts education appear to have a statistically significant impact in these areas? eTextbook and Media

Answer:

what's the ratio?

Step-by-step explanation:

Answer:

whats the ratio

Step-by-step explanation:

Answer:

b. 2456 * ( 900 + 90 + 2) will give the same answer as 2456 * 992

Hope it will help :)

Answer:

ASA

Step-by-step explanation:

the angles of the vertex are vertical angles, so they are congruent.

We have a congruent side between two congruent angles

The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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Answer:

x=15/8

Step-by-step explanation:

Answer:

40 pensil

Step-by-step explanation:

Dari pertanyaan di atas, kita diberitahu bahwa:

Dita memiliki 10 kotak pensil

1 kotak pensil = 36 pensil

10 kotak pensil =

Cross Multiply

10 × 36 = 360 pensil.

Dari pertanyaan tersebut, kami diberitahu bahwa Dita memiliki 9 orang teman dan ia membagikan semua pensilnya secara merata kepada mereka di hari ulang tahunnya.

Jumlah pensil yang diterima setiap teman dihitung sebagai:

360 pensil ÷ 9 teman

= 40 pensil.

Oleh karena itu, setiap teman mendapat 40 buah pensil.

Polynomial identities are mathematical expressions that are true for all values of the variables involved.

Polynomial identities play a fundamental role in algebra and can be used to solve problems, prove mathematical statements, and describe numerical relationships. These identities are equations that hold true for any values of the variables involved. For example, the polynomial identity (a + b)^2 = a^2 + 2ab + b^2 is valid for all values of a and b. By using polynomial identities, we can simplify expressions, factorize polynomials, solve equations, and establish connections between different mathematical concepts.

Polynomial identities provide a powerful tool for proving mathematical statements. By manipulating and rearranging expressions using these identities, we can demonstrate the validity of various mathematical relationships. These identities also help us describe numerical relationships, such as the patterns and properties of polynomial functions. By applying polynomial identities, we can analyze the behavior of polynomials, determine the roots or zeros of functions, identify symmetry properties, and investigate the interactions between coefficients and variables. Polynomial identities serve as the building blocks for algebraic reasoning and provide a framework for understanding and exploring the intricate structures of polynomial expressions and equations.

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Answer: C, 12

Step-by-step explanation:

Got it correct on edge

Answer:

C: 12

Step-by-step explanation:

Took the quiz

Answer:

x=21 degrees

Step-by-step explanation:

x degrees and 159 degrees are supplementary angles

this means that x+159=180 degrees

x=21 degrees

Answer:

3/4

Step-by-step explanation:

The distance between the two points is five.

\(d=\sqrt{((x2-x1)^2+(y2-y1)^2)} \\\\(x2-x1) = (3 - 7) = -4\\\\(y2-y1) = (7 - 4) = 3\\\\(-4)^2 + (3)^2 = 16 + 9 = 25\\\\\sqrt{25} =5\)

The probability that Ann picked a ball from the second box given that she selected an orange ball is 0.56 or 56% (rounded to two decimal places).

We can use Bayes' theorem to calculate the probability that Ann picked a ball from the second box given that she selected an orange ball.

Let A be the event that Ann selected an orange ball, and B be the event that Ann picked a ball from the second box. We want to find P(B|A), the probability that Ann picked a ball from the second box given that she selected an orange ball.

We know that there are two boxes, each with a probability of 1/2 of being selected. The probability of selecting an orange ball from the first box is 3/7, and the probability of selecting an orange ball from the second box is 7/11. Therefore, the probability of selecting an orange ball overall is:

P(A) = P(A|B)P(B) + P(A|B')P(B')

= (7/11)(1/2) + (3/7)(1/2)

= 25/42

Now we can use Bayes' theorem:

P(B|A) = P(A|B)P(B)/P(A)

= (7/11)(1/2)/(25/42)

= 14/25

Therefore, the probability that Ann picked a ball from the second box given that she selected an orange ball is 0.56 or 56% (rounded to two decimal places).

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Option A, B and C lines on the drawing would be greater than 12 meters in real life.

A scale drawing is an object that has been enlarged.

By multiplying each length by a scale factor, an expansion alters the size of an object, making it larger or smaller.

A ratio is typically used to describe a drawing's scale.

4cm = 6 meters

so, 1 cm = 6/4 mt = 1.5mt

a) 6cm = 6×1.5 mt = 9mt

b) 10 cm = 10×1.5 mt = 15mt

c) 12 cm = 12×1.5mt = 18mt

d) 16 cm = 16×1.5mt = 24mt

Option A, B and C lines on the drawing would be greater than 12 meters in real life.

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Answer:

The equation is -

y = x

Explanation:

Given -

y = x + 4

We have to find a line passing through the point (2, 2) and parallel to the given line.

Find the slope of the given line.

It is the coefficeint of a

mi = 1

The two lines are parallel. Hence m₂ = m₁ = 1 Where m2is the slope of the second

line.

You have slope and the points (2, 2) Find the Y intercept

y = mx + c

2 = (1) (2) + C

2 =2+ C

C= 2- 2=0

Y-Intercept C = Oand slope m₂ = 1

Fix the equation

y = x

The number of main effects that need to be examined is equal to the number of independent variables. The correct option is B.

What is a variable?

Dependent and independent variables are variables in mathematical modeling, statistical modeling, and experimental sciences. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent on the values of other variables due to some law or rule.'

The phrase "independent variable" means exactly what it says. It is a variable that is unrelated to the other variables being measured. Age, for example, could be considered an independent variable. The main effect is the effect of a single independent variable on a dependent variable, and all other independent variables are ignored. Consider a study that investigated the efficacy of dieting and exercise for weight loss.

Therefore, the correct option is B.

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a. The probability density function is f(x) = 1 for 0 ≤ x ≤ 1 and f(x) = 0 elsewhere. b. The probability of generating a random number between 0.25 and 0.75 is 0.5 (50%). c. The probability of generating a random number ≤ 0.3 is 0.3 (30%). d. The probability of generating a random number > 0.7 is 0.3 (30%).

To determine the probability density function (pdf) for the given function, we need to calculate the integral of the function over its entire domain and normalize it so that the total area under the curve is equal to 1.

a. Probability Density Function (pdf):

For 0 ≤ x ≤ 1, f(x) = 10, and elsewhere, f(x) = 0.

To find the pdf, we need to calculate the integral of f(x) over its domain [0, 1]:

∫[0,1] f(x) dx = ∫[0,1] 10 dx = 10x ∣[0,1] = 10(1) - 10(0) = 10

To normalize the pdf, we divide each value by the total area:

f(x) = 10/10 = 1 for 0 ≤ x ≤ 1

f(x) = 0 elsewhere

Therefore, the pdf is:

f(x) = 1 for 0 ≤ x ≤ 1

f(x) = 0 elsewhere

b. Probability of generating a random number between 0.25 and 0.75:

To calculate the probability of generating a random number between 0.25 and 0.75, we need to calculate the integral of the pdf over this range and normalize it:

P(0.25 ≤ x ≤ 0.75) = ∫[0.25,0.75] f(x) dx

Since the pdf is constant (equal to 1) over this range, the probability is simply the width of the range:

P(0.25 ≤ x ≤ 0.75) = 0.75 - 0.25 = 0.5

Therefore, the probability of generating a random number between 0.25 and 0.75 is 0.5 (or 50%).

c. Probability of generating a random number ≤ 0.3:

To calculate the probability of generating a random number with a value less than or equal to 0.3, we need to calculate the integral of the pdf over the range [0, 0.3]:

P(x ≤ 0.3) = ∫[0,0.3] f(x) dx = ∫[0,0.3] 1 dx = x ∣[0,0.3] = 0.3 - 0 = 0.3

Therefore, the probability of generating a random number ≤ 0.3 is 0.3 (or 30%).

d. Probability of generating a random number > 0.7:

To calculate the probability of generating a random number with a value greater than 0.7, we need to calculate the integral of the pdf over the range (0.7, 1]:

P(x > 0.7) = ∫[0.7,1] f(x) dx = ∫[0.7,1] 1 dx = x ∣[0.7,1] = 1 - 0.7 = 0.3

Therefore, the probability of generating a random number > 0.7 is 0.3 (or 30%).

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--The given question is incomplete, the complete question is given below " f(x)={10​ for 0≤x≤1 elsewhere ​ a. Select the probability density function. b. What is the probability of generating a random number between 0.25 and 0.75 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.7 (to 1 decimal place)?  "--

Answer:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

\( PQ + QR + RS + ST = PT \)

If the function is f(x) = eˣ Cos(x) where (0≤ x ≤2π) , then the function will be increasing in interval (0, π/4) U (7π/4, 2π), and decreasing in interval (π/4, 7π/4) .

In order to find the intervals where function f(x) = eˣ Cos(x) is increasing and where it is decreasing, we find the points where the derivative of the function, f'(x), is positive and negative,

The derivative of function : f(x) = eˣ cos(x) is:

⇒ f'(x) = eˣ cos(x) + eˣ (-sin(x))

⇒ eˣ (cos(x) - sin(x))

So , To find the intervals where f'(x) is positive or negative, we can use the sign of the derivative to determine if the function is increasing or decreasing.

we  know that ;

⇒ When f'(x) > 0, the function is increasing.

⇒ When f'(x) < 0, the function is decreasing.

For function  " eˣ (cos(x) - sin(x)) " ,

we can see that f'(x) is positive when cos(x) > sin(x) and negative when cos(x) < sin(x).

By using a unit circle, we can see that the inequality cos(x) > sin(x) is satisfied for x in the interval (0, π/4) U (7π/4, 2π), and

the inequality cos(x) < sin(x) is satisfied for x in the interval (π/4, 7π/4) .

The given question is incomplete , the complete question is

Determine the intervals where the function f(x) = eˣ Cos(x) where (0≤ x ≤2π) is increasing and where it is decreasing ?

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Answer:

D) $14

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

To find the shaded area you subtract the area of the triangle from the area of the rectangle:

Then, Tony's mistake was that he added the areas instead of subtract it.

The shaded are is:

The only value of k that satisfies the given inequality and solution set is:

k = 0.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We are given the inequality:

1/2 < k - 4x < 2k + 8

We are also given the solution set of the inequality:

{-3 < x < 2} and {-3 < x < 7/8}

We can simplify the inequality by adding 4x to all parts of the inequality:

1/2 + 4x < k < 2k + 8 + 4x

Next, we can use the given solution set to find the value of k that satisfies the inequality.

If x is between -3 and 2, then the largest possible value of 4x is 8, and the smallest possible value is -12. Therefore:

1/2 + 8 < k < 2k + 8 + 8

or

8.5 < k < 2k + 16

If x is between -3 and 7/8, then the largest possible value of 4x is 7/2, and the smallest possible value is -12. We have:

1/2 + 7/2 < k < 2k + 8 + 7/2

or

4 < k < 2k + 23/2

The intersection of these two solution sets is:

8.5 < k < 2k + 16

and

4 < k < 2k + 23/2

Simplifying the second inequality:

4 < k < 4 + 2k + 23/2 - 2k

or

4 < k < 23/2

Therefore, k must be between 8.5 and 23/2, inclusive.

However, we also need to check if k = 0 satisfies the inequality.

1/2 < 0 - 4x < 2(0) + 8

or

1/2 < -4x < 8

or

-1/8 > x > -2

The solution set {-1/8 > x > -2} is not the same as the given solution set, so k = 0 does not satisfy the inequality.

Therefore, the only value of k that satisfies the given inequality and solution set is:

k = 0.

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Answer:

Step-by-step explanation:

Vertical asymptotes exist where there is a problem in the denominator of a fraction. The only time there will be a problem in the denominator is when a value is plugged in that causes it to go to 0. To find the vertical asymptote(s) of a function, set the denominator equal to 0 and solve for x:

2x + 3 = 0 and

2x = -3 so

x = -3/2

The vertical asymptote is the vertical line x = -3/2

Answer:

This tells us that the vertex is at (−2, 9) and the equation of the axis of symmetry is x = −2. To find the x-intercepts, we put y = 0 to obtain

(x + 2)2 − 9 = 0

(x + 2)2 = 9

x + 2 = 3  or  x + 2 = −3

 x = 1   or   x = −5.

Step-by-step explanation:

Image result for Which quadratic function has a y-intercept of 4? y=x2−2x+4 y=x2+2x+9 y=−x2+3x y=x2+13x+12

The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.

Answer:

X is the answer so ez lolololol is the first thing

Answer: m = -3/7 or -0.428

Step-by-step explanation:

You m = 5 - 2 x -9 - (-2) and m = -3/7 or 0.428

If $5,860 was raised, following statements are true:

319 people attended.

52 children attended.

The total amount of money raised from adults attending is more than 10 times the total amount of money raised from children attending.

A statement in mathematics is a declarative utterance that can only be either true or false. A proposal is another name for a statement. It's important that there be no ambiguity. A sentence can only be true or untrue and not both for it to be a statement.

Given

Tarin organized this table to determine the number of adults, a, and children attending a fundraiser based on the total number of people attending and the total amount of money raised.

If $5,860 was raised, following statements are true:

319 people attended.

52 children attended.

The total amount of money raised from adults attending is more than 10 times the total amount of money raised from children attending.

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Answer:

X^2+ 2x+35

Step-by-step explanation:

Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.

Answer:

4\(x^{2}\)+9x+23

Step-by-step explanation:

Answer:

the domain is: 0,-3,4,2,-2.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1. look at the graph window, the y axis goes up by 1 (2, 3, 4, 5, etc), and my answer assume the x axis is the same (it is not pictured)

2. split the triangle into two. the separated spot can be at x=3 because it forms two right triangles (right triangles have 90 degrees)

3. triangle dimensions: the first one is 2 by 4. to find the area of a rectangle, you multiply the length by width and divide by 2. 2 x 4 = 8, 8 divided by 2 is 4.

4. the second triangle is 4 by 5. 4 x 5 = 20, 20 divided by 2 is 10.

(you divide by 2 because two right triangles can make a square)

5. add the area of the two triangles, 20 plus 4 is . . .

24!

we have our answer :)

Answer:

4x + 3y >/= to 12

Step-by-step explanation

The required inequality is 4x + 3y ≤ 12 which represents the number of red peppers and tomatoes.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Red peppers and tomatoes for salsa cost no more than $12. Red peppers are $4 per pound, while tomatoes are $3 per pound.

To write the inequality, we can let x represent the number of pounds of red peppers and y represents the number of pounds of tomatoes.

The total cost of the red peppers is 4x dollars and the total cost of the tomatoes is 3y dollars.

We know that the total cost of both the red peppers and tomatoes combined is 12 dollars.

Therefore, the inequality to represent is 4x + 3y ≤ 12.

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When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.

To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:

Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+

Taking the natural logarithm of the expression, we have:

\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)

Now, we can rewrite the expression as:

\(lim [sinx * ln(tanx)]\)as x approaches 0+

Applying L'Hospital's Rule, we differentiate the numerator and denominator:

\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+

Simplifying the expression:

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+

\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+

\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+

Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞

Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.

Case 2: lim\(tan(x^{sinx})\)as x approaches 0+

We can rewrite the expression as:

lim\(tan(x^{(sinx)})\) as x approaches 0+

This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:

lim \(tan(0^{(sin0)})\) as x approaches 0+

lim\(tan(0^0)\)as x approaches 0+

The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.

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