7 yd
Determine the Volume. Write an exact answer.
A)
B)
C)
6861 cubic yards
228.61 cubic yards
718.31 cubic yards
18
27

To find the area to the left of z = -a, we can use the properties of the standard normal distribution and symmetry.

The standard normal distribution is a symmetric distribution with a mean of 0 and a standard deviation of 1. The area to the right of z = a is given as 0.3, which means the area to the left of z = a is 1 - 0.3 = 0.7.

Since the standard normal distribution is symmetric, the area to the left of -a is the same as the area to the right of a. Therefore, the area to the left of z = -a is also 0.7.

This symmetry property of the standard normal distribution allows us to find probabilities and areas without using tables or technology. By utilizing the properties of symmetry and the known areas, we can determine probabilities and areas associated with different z-values. In this case, the area to the left of z = -a is simply the same as the area to the right of z = a, which is 0.7.

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Answer:

sdfgfgav

Step-by-step explanation:

We have to divide the shape into two

It will give us a Rectangle and a Trapezium

Answer:

8

Step-by-step explanation:

if you mean 8/ (3/3), Then you get 8 because 3/3 = 1 and 8/1 is 8. Also if you put that equation into a calculator then you get 8

Answer:

3.90

hope its help

Step-by-step explanation:

y=3.87

n=d/3.90

Excute. by down interval 34.0

Answer: I simplified it for you lol

Step-by-step explanation: Simplify the matrix.

19 + 266 inches

The function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

A location where two or more straight lines or curves intersect is referred to as a vertex . A vertex in geometry is sometimes referred to as a corner or an intersection point. The phrase is frequently used to refer to the highest or lowest point on a curve or surface, the place where two lines intersect to make an angle, and the point where two sides of a polygon meet.

The vertex form of the equation of a parabola is given by:

\(y = a(x - h)^2 + k\)

where (h, k) represents the vertex of the parabola.

Using the given vertex and the point (6,0), we can find the value of "a" and plug it into the vertex form to get the equation of the parabolic path of the water stream.

Step 1: Find the value of "a"

Since the vertex is (3,5), we know that:

h = 3

k = 5

Using the point (6,0), we can find the value of "a" as follows:

\(0 = a(6 - 3)^2 + 5\)

\(0 = 9a + 5\)

\(9a = -5\)

\(a = -5/9\)

Step 2: Plug in the values of h, k, and a into the vertex form:

\(y = (-5/9)(x - 3)^2 + 5\)

Therefore, the function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

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Answer:

The population is everyone listed in the city phone directoy; the sample is the 75 people selected

Step-by-step explanation:

Answer:

y = 7x +2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (- 1, - 5 )

m = \(\frac{-5-2}{-1-0}\) = \(\frac{-7}{-1}\) = 7

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = 7x + 2 ← equation of line

Answer: the answer is C

Answer:

C. plane HJG

Step-by-step explanation:

hope this helped :-)

There are some traits that rectangles, squares, and rhombuses have in common. These are also some differences between them. Rectangles, squares, and rhombuses all have 4 sides. If a shape is a rectangle the diagonal sides will be congruent. If a shape is a square all the sides will be congruent, the shape will also have a right angle. The diaganles of a rombus are perpendicular.

a) True. If lim n → [infinity] an = 0, then by definition of convergence, for any ε > 0 there exists an N such that for all n > N, |an| < ε. Thus, an is convergent.

b) False. If sin(20) > 0, then the series diverges (by comparison to the harmonic series), and if sin(20) ≤ 0, then the series oscillates and does not converge.

c) True. If lim n→[infinity] an = L, then by definition of convergence, for any ε > 0 there exists an N such that for all n > N, |an - L| < ε/2. Thus, for all n > N, |a(2n+1) - L| ≤ |a(2n+1) - an| + |an - L| < ε/2 + ε/2 = ε, so lim n→[infinity] a(2n+1) = L.

d) True. If −1 < α < 1, then as n→[infinity], αn approaches 0 from above (if α > 0) or below (if α < 0), and since it is always positive, it must approach 0.

e) False. For example, if an = (-1)^n and bn = (-1)^(n+1), then both sequences diverge but their sum is identically 0.

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Answer:

-3a + 6 + 36a = 32a + 4

a = - 2

Answer: is it 0 -6

Step-by-step explanation:

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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Answer:

y = -28

Step-by-step explanation:

21 = -3/4y

so:

-3/4y = 21

divide both sides by -3/4:

(-3/4y)/(-3/4) = 21/(-3/4)

y = -28

a) The Standard Deviation measures the dispersion of a data set. A high value means your data is spread out, while a lower value means the data is tightly clustered.

b) The Mean measures the central value of a data set. This is typically the best measurement of the true value.

c) The accuracy of a series of measurements is best understood by looking at the Standard Deviation of the Mean.

d) The precision of a series of measurements is best understood by looking at the Standard Deviation.

e) If you double the number of measurements taken, only the Standard Deviation of the Mean changes by a meaningful amount.

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The three angles above the bottom line are supplementary, so they add up to 180° in measure:

2x° + 90° + x° = 180°

3x° + 90° = 180°

3x° = 90°

x = 30

The angles with measure x° and 2y° are congruent, since they form a pair of interior angles that alternate with respect to the transversal (in this case, this is the ray that starts from the bottom line and point up and to the right, and passes through the parallel upper line). So

2y° = x°

2y° = 30°

y = 15

Below the upper line, the two angles 2y° and z° are supplementary, so

2y° + z° = 180°

30° + z° = 180°

z = 150

The conditions for normality have been met for the sampling distribution of the difference in sample means of two populations of coins (pennies and quarters) where a random sample of 25 pennies was selected, and the mean age of the sample was 32 years, and a random sample of 35 quarters was taken, and the mean age of the sample was 19 years.

For each of the samples, the sample size is sufficiently large (n1 = 25, and n2 = 35), and we have no information about the population distribution. We can use the Central Limit Theorem to conclude that the sampling distribution of the difference in sample means is approximately normal.

Population standard deviation is known or the sample size is sufficiently large: We do not know the population standard deviation of the two populations. Therefore, we must ensure that the sample size of each group is large enough to justify using the Central Limit Theorem.

Both the sample sizes (25 and 35) are greater than 30. Therefore, the sample size is sufficiently large, and we can use the Central Limit Theorem to assume that the sampling distribution of the difference in sample means is approximately normal.

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Answer:

interest money is the amount of money a lender or a financial institution receives for lending out money

1). The limit lim(u→2) is √3/2.

2).The LHL, RHL, and the function value, we see that the LHL and RHL are not equal to the function value at a = 1. Therefore, the function is discontinuous at x = 1.

To evaluate the limit lim(u→2), we substitute u = 2 into the function expression:

lim(u→2) = √√(4u+1)/(3u-2)

Plugging in u = 2:

lim(u→2) = √√(4(2)+1)/(3(2)-2)

= √√(9)/(4)

= √3/2

Therefore, the limit lim(u→2) is √3/2.

The function f(x) is defined as follows:

f(x) = { √√(4x+1)/(3x-2) if x ≠ 1

{ 1 if x = 1

To determine if the function is discontinuous at a = 1, we need to check if the left-hand limit (LHL) and the right-hand limit (RHL) exist and are equal to the function value at a = 1.

(a) Left-hand limit (LHL):

lim(x→1-) √√(4x+1)/(3x-2)

To find the LHL, we approach 1 from values less than 1, so we can use x = 0.9 as an example:

lim(x→1-) √√(4(0.9)+1)/(3(0.9)-2)

= √√(4.6)/(0.7)

= √√6/0.7

(b) Right-hand limit (RHL):

lim(x→1+) √√(4x+1)/(3x-2)

To find the RHL, we approach 1 from values greater than 1, so we can use x = 1.1 as an example:

lim(x→1+) √√(4(1.1)+1)/(3(1.1)-2)

= √√(4.4)/(2.3)

= √√2/2.3

(c) Function value at a = 1:

f(1) = 1

Comparing the LHL, RHL, and the function value, we see that the LHL and RHL are not equal to the function value at a = 1. Therefore, the function is discontinuous at x = 1.

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g^{-1} means g^{-1}(r) the inverse we need

Interchange v and r

Find v

That's the inverse

For an artery with radius 0.9 cm, v is given as a function of r by v = g(r) = 18,500(0.81 − r^2). then v = √(0.81-r/18500) is the inverse of the function.

Function is a type of relation, or rule, that maps one input to specific single output. if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

\(f^{-1}: Y \rightarrow X\)

Similalry \(g^{-1}\) means \(g^{-1}(r)\) the inverse we need

v=18500(0.81 - r²)

Then Interchange v and r

r = 18500(0.81-v²)

To solve for velocity v;

v² = 0.81-r/18500

v = √(0.81-r/18500)

That is the inverse of the function.

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The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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\( \rm \to8 = 2 + 4x\)

\( \\ \)

\( \rm \to8 - 2= 4x\)

\( \\ \)

\( \rm \to6= 4x\)

\( \\ \)

\( \rm \to 4x = 6\)

\( \\ \)

\( \rm \to x = \dfrac{6}{4} \)

\( \\ \)

\( \rm \to x = \cancel \dfrac{6}{4} \)

\( \\ \)

\( \rm \to x = \dfrac{3}{2} \)

Answer:

The answer is 3/2.

Step-by-step explanation:

8-4x=2

1. Subtract 8 from each side. 8-8-4x=2-8

2. Then you get -4x= -6

3. Next you divide each side by -4.  -4x/-4 = -6/-4

Lastly, you get your answer as x= 3/2

The solution that satisfies both line graphs is known as the point of intersection. In other words, it is the point where both lines cross each other. This point represents the values of the variables that make both equations true simultaneously. To find the point of intersection, you can graph both lines on the same coordinate plane and locate where they cross.

Alternatively, you can solve the system of equations algebraically using techniques such as substitution or elimination.

Once you have found the point of intersection, you can verify that it satisfies both equations by plugging in its coordinates into each equation and ensuring that they both yield a true statement. The point of intersection is the unique solution that satisfies both equations, as it is the only point where both lines intersect. If the lines do not intersect (i.e., they are parallel), then there is no solution that satisfies both equations. If the lines are the same (i.e., they overlap), then there are infinitely many solutions that satisfy both equations.

In summary, the solution that satisfies both line graphs is the point of intersection, which can be found either graphically or algebraically. It is the unique point that makes both equations true simultaneously and represents the values of the variables that satisfy both equations.

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there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

How can I find the probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

there is a jar containing 27 black

and 33 gold jelly beans.

you will get a chance to draw 10 jellybeans at random from the jar.

on each draw, what is probability of drawing a gold jelly bean

Add up the total number of jellybeans, 27 + 33 = 60

Divide the number of gold jellybeans by the total: 33/60 and reduce the fraction to 11/20

=0.55

Hence, there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

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Answer:

Step-by-step explanation:

34 millimeter

False. It is not optimal for Anil to give Bala one-third of the lottery money (£33.33). According to Anil's preferences, his utility function is given by u(A,B) = min{2A, B}.

This function implies that Anil values his own money (A) more than the money he gives to Bala (B). By giving Bala one-third of the money, Anil would keep only £66.67 for himself, which is less than what he could potentially keep if he gave Bala a smaller amount. To maximize his own utility, Anil should give Bala the minimum amount possible, which in this case would be zero.

Anil's utility function indicates that he values his own money (A) twice as much as the money he gives to Bala (B). By maximizing his utility, Anil would want to keep as much money for himself as possible, while still giving Bala some amount of money. In this case, Anil can keep £100 for himself, which is the maximum amount possible, while giving Bala £0.

This division of money maximizes Anil's utility according to his preferences. Therefore, it is not optimal for Anil to give Bala one-third of the lottery money; instead, he should give Bala the minimum amount of £0 to maximize his own utility.

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Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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