Which one is it please help thank you.


The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-school program. Students are 38% likely to join the dance team; 18% likely to participate in the school play; 42% likely to join the yearbook club; and 64% likely to join the marching band. Many students choose to participate in multiple activities. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. If Event A = sophomore or junior, what is Event A'?

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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Answer:

20

Step-by-step explanation:

(4 + 6)2 | Parenthesis first

(10) × 2 | Distribute

20

In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

The definite integral of ∫(3x⁴)dx can be found by using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum: ∫(3x⁴)dx = lim n→∞ [3(x1⁴)Δx + 3(x2⁴)Δx + ... + 3(xn⁴)Δx], where Δx = (b-a)/n and xi = a + iΔx for i = 0, 1, ..., n. By simplifying this expression and taking the limit as n approaches infinity, we can find the exact value of the definite integral. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). Applying this theorem, we can find an antiderivative of 3x^4, which is (3/5)x⁵, and evaluate it at the limits of integration: ∫(3x⁴)dx = [(3/5)x⁵]3⁰ = 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum and simplify the expression to find the exact value. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). By finding an antiderivative of 3x⁴)and evaluating it at the limits of integration, we can obtain the exact value of the integral. In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

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The points of intersection for the polar curves r = 1 + cos(θ) and r = 1 - cos(θ) on the interval 0 ≤ θ < 2π are (π/2, 1) and (3π/2, 1).

The points of intersection for the polar curves r = 1 + cos(θ) and r = 1 - cos(θ), we need to set the two equations equal to each other and solve for θ.

1 + cos(θ) = 1 - cos(θ)

By simplifying the equation:

2cos(θ) = 0

Dividing both sides by 2:

cos(θ) = 0

From the unit circle, we know that cosine is equal to zero at θ = π/2 and θ = 3π/2.

Now, we substitute these values of θ back into the original equations to find the corresponding values of r:

For θ = π/2:

r = 1 + cos(π/2) = 1 + 0 = 1

For θ = 3π/2:

r = 1 + cos(3π/2) = 1 + 0 = 1

Therefore, the points of intersection for the polar curves r = 1 + cos(θ) and r = 1 - cos(θ) on the interval 0 ≤ θ < 2π are (π/2, 1) and (3π/2, 1).

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She spent $733.29 dollars on the computer

Answer:

D = 3

Step-by-step explanation:

edge 2022

Answer:

it would be 150 more, so 1650

Step-by-step explanation:

divide 1500 by 10 to get 10%

Answer:

Step-by-step explanation:

speed = distance/time

however speed is a compound measure

distance to school = speed x time

                               = 30mph x 1/3hr

                               = 10m

time =  10m / 45mph

       = 13.3 (recurring)

       = 13 mins

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer: (x+1)^2 + (y-0)^2 = 8pi^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(a_1=2\\a_2=-8\\\\q=\frac{-8}2=-4\\\\a_n=a_1\cdot q^{n-1}\\\\a_8=2\cdot(-4)^7=2(-16\,384)=-32\,384\)

A 95% credible interval for the number of people who will be alive in the year 3000 CE would be highly speculative and uncertain, and it's important to approach such predictions with caution and recognize the limitations of available data and modeling techniques.

AI language model, I do not have the ability to predict the future or estimate the number of people who will be alive in the year 3000 CE.

Any attempt to provide a 95% credible interval for such a prediction would be purely speculative and highly uncertain.

The estimation of future population size is a complex and multi-disciplinary field that involves various factors such as birth rates, death rates, migration, technological advancements, and social changes.

Even with the best available data and modeling techniques, any prediction of future population size would be highly uncertain and subject to error.

Moreover, predicting the population size in the year 3000 CE would require a very long-term outlook that goes beyond the scope of available data and statistical methods.

It's important to note that population trends can be influenced by a wide range of factors that are difficult to predict accurately, including geopolitical events, natural disasters, technological breakthroughs, and social and cultural changes.

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Answer:

.023------ 7/30

.4------ 4/9

1.6----- 5/3

3.5------ 32/9

All I did was divide each fraction (the numerator by the denominator) and use the answer I got to match the fraction with the decimal.

hope this helps!

Answer:

Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.

The system of inequalities represents the given situation are x+y<2 and x-y>1.

Given that, the sum of two numbers is less than 2.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the first number be x and the second number be y.

x+y<2 -------(1)

If we subtract the second number from the first, the difference is greater than 1.

x-y>1 -------(2)

Therefore, the system of inequalities represents the given situation are x+y<2 and x-y>1.

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When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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Answer:

a = 2

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer:

a=3

Step-by-step explanation:

24=3(2a-14)-3a

distribute

24=6a-42-3a

subtract 3a from 6a

24=3a-42

add 42 to both sides

66=3a

divide 3

3=a

a=3

hope this helps :)

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

Answer:

The distributive property states that you can "distribute" the contents of one parentheses into the other to find an answer.

Let's first break down the larger number in the second parentheses:

400 + 10 + 5.

Then, let's multiply all those numbers by 3.

400 x 3 = 1200. 10 x 3 = 30. 5 x 3 = 15.

Then add up all the numbers and you get 1245.

Answer:

1245

Step-by-step explanation:

400+10+5

400×3=1200. 10×3=30. 5×3=15

In linear equation, 24.7 knots is the distance between the ships changing at 3 pm.

What in mathematics is a linear equation?

V = √18² + 17²  = √324 + 289  = √613 = 24.7

\(V_{AB}\) = Velocity of ship A relative to ship B,

\(V_{AS}\) = Velocity of ship A relative to sea,

\(V_{BS} =\) Velocity of ship B relative to sea,

Consider a cartesian coordinate system in which X axis is oriented East and Y axis is oriented North.

\(V_{S} =\) ( - 18 ,0 ) Knots

\(V_{BS}\) = ( 0 , +17) Knots

\(V_{AB} = V_{AS} + V_{SB}\)

\(V_{AB} = V_{AS} - V_{BS}\)

\(V_{AB} =\) ( -18 , 0  ) - ( 0 , 17 ) = ( -18 , 17 )

       = √18² + 17²  = = √324 + 289  = √613 = 24.7

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Score of 62.816 is the lowest score that can be earned in the California Police Officer Standards and Training test to be eligible to be hired by the agency.

We have a normal distribution of scores for the california peace officer standards and training Let X be the random variable representing scores for the California Police Officer Standards and Training test, X ~ Normal(50, 10²).

Mean = 50

Standard deviations = 10

Let x be the lowest score that can be earned to be eligible to be hired by the agency that is x is the lowest score than can be earned to get in top 10%. Therefore, P(X > x) = 0.10

P((X- 50)/10 > (x- 50)/10) = 0.10 (converting Normal variate to Standard Normal variate)

P(Z > (x - 50)/10) = 0.10 --(1)

From the Standard Normal Distribution table, P(Z > 1.2816) = 0.10 -- (2)

From comparing the equation (1) and (2),

=> (x- 50)/10 = 1.2816

=> x-50 = 12.816

=> x = 62.816

Thus, the required lowest score is 62.816.

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The distance from y=[5,5] to the line through u=[6,8] and the origin is 1 units.

The length of the line segment connecting any two places is referred to as their distance. In coordinate geometry, the distance between two points can be computed by measuring the length of the line segment connecting the two points.

The length of the line segment connecting any two places represents the distance between them. There is just one line that connects the two places. So, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

The objective is to compute the distance from y to the line through u and the origin.

\(y=\left[\begin{array}{c}5&5\end{array}\right] and \ u=\left[\begin{array}{c}6&8\end{array}\right]\)

from the  slope - intercept on the graph, the equation of line can be expressed as :

y = mx + b

where;

m = slope = \(\frac{y_2-y_1}{x_2-x_1}\)

b = y - intercept,

Similarly, we are being informed that the line  passed through \(u=\left[\begin{array}{c}6&8\end{array}\right]\)  and origin, so ;

x1 = 0, y1 = 0

x2 = 6, y2 = 8

slope = \(\frac{y_2-y_1}{x_2-x_1}\)

m = 8/6 = 4/3.

Also, since the line pass through the origin:

Then

y = mx + b

0 = m(0) + b

b = 0

From y = mx + b

y = mx + (0)

y = mx

3y = 4x

3y - 4x = 0

4x - 3y =0

The distance of a point (x,y) from a line ax +by + c = 0 can be represented with the equation:

\(d=\frac{|ax+by+c|}{\sqrt{a^2+b^2} }\)

The distance from \(y=\left[\begin{array}{c}5&5\end{array}\right]\)  to the line 4x - 3y = 0  is:

\(d=\frac{|4x-3y+0|}{\sqrt{4^2+3^2} }\\\\d= \frac{20-15}{\sqrt{25} } \\\\d=5/5\\\\d=1\)

The distance from y = [5,5] to the line through u = [6,8] and the origin is 1 units.

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Answer:

y = 1/2x+5

Step-by-step explanation:

You have two points so you can find the slope

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

m = (8-3)/(6 - -4)

   (8-3)/(6+4)

    5/10

 1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

  a.  $110,700

Step-by-step explanation:

You want to know the value of a $141,000 house after 15 years, if it declines in value 1.6% each year.

The value multiplier each year is ...

  1 - 1.6% = 1 -0.016 = 0.984

When the house value is multiplied by this factor 15 times, it becomes ...

  $141,000×0.984^15 ≈ $110,700

Russell's house is worth about $110,700.

Mark is 21 years of age Sean is 16 and Jason is 14years of age

f