Amaya enters a competition to guess how many candies are in a jar.
Amaya’s guess is 115 candies.
The actual number of candies is 125.

What is the percent error of Amaya’s guess?

the z value needed to conduct a two tail test in a statistical inference problem, specifying a 90% level of confidence is 1.65

A confidence interval is based on the sample statistics and is used to estimate a population parameter.

For example, a sample mean is used to build a confidence interval to estimate the population mean.

the z value needed to conduct a two tail test in a statistical inference problem, specifying a 90% level of confidence is 1.65

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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the expression to represent how much the basketball team will receive is:
$4.50S + $2.25C

To find the amount that the basketball team will receive from the car wash, we need to start by finding the total amount of money raised. We can do this by multiplying the number of SUVs by $10 and the number of cars by $5, and adding those two products together. So the total amount raised can be expressed as:

Total amount = $10S + $5C

Next, we need to determine what percentage of the total amount will go to the basketball team. We know that 25% goes to the football team, 30% goes to the soccer team, and the remaining percentage goes to the basketball team. We can express this as:

Basketball team's share = (100% - 25% - 30%) x Total amount

Simplifying this expression, we get:

Basketball team's share = 45% x Total amount

Substituting the expression for the total amount that we found earlier, we get:

Basketball team's share = 45% x ($10S + $5C)

Simplifying this expression further, we get:

Basketball team's share = $4.50S + $2.25C

So the expression to represent how much the basketball team will receive is:

$4.50S + $2.25C

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Answer:

The weight of the dog = 12 Pounds.

The weight of the cat = 3× Of dogs weight.

= 3×12 = 36 Pounds.

Therefore cat is 36 Pounds.

Answer:

69 roses

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/10 * 5/4 = 1/8

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

Answer:

8√2

Step-by-step explanation:

This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2). Because this is a 45-45-90, both legs have the same measure, namely 8. Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple). That means that the hypotenuse has a measure of 8\sqrt{2}8

2

, which is d.

To solve the triangle using the Law of Sines, we can use the following formula:

\(\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\)

Given that \(\(\angle A = 38^\circ\), \(\angle C = 73^\circ\), and \(b = 19\),\) we can substitute these values into the formula and solve for the remaining sides \(\(a\) and \(c\).\)

\(\(\frac{a}{\sin(38^\circ)} = \frac{19}{\sin(B)}\) (1)\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\sin(B)}\) (2)\)

From equation (1), we can solve for \(\(\sin(B)\):\)

\(\(\sin(B) = \frac{19}{a} \cdot \sin(38^\circ)\)\)

Substituting this value into equation (2), we can solve for \(\(c\):\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\frac{19}{a} \cdot \sin(38^\circ)}\)\)

Simplifying, we get:

\(\(c = a \cdot \frac{\sin(73^\circ)}{\sin(38^\circ)}\)\)

Now we have expressions for both \(\(a\) and \(c\).\)

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The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

Answer:

2 decimal places

Step-by-step explanation:

just simple count the number of decimal points on both sides

Answer:

\(\huge\boxed{\sf 5y^2 -4}\)

Step-by-step explanation:

\(\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}\)

Answer:

135ft^2

Explanation

See photo for detailed analysis

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

B

Step-by-step explanation:

Answer:

$84.38

Step-by-step explanation:

Answer:

$84.3755 = $84.38

Step-by-step explanation:

Answer:

20 and 22 is median of the number line

The perimeter of DREPFQ is 1

In an equilateral triangle, the intersection is the centroid

From the information given, we have that;

AB =√3

Then, we can say that;

AG = BG = CG = √3/3

Also, we have that D, E, and F are the midpoints of the sides of triangle Then, DE = EF = FD = √3/2.

AP = BP = CP = √3/6.

To find the perimeter of DREPFQ, we need to add up the lengths of the line segments DQ, QE, ER, RF, FP, and PD.

The perimeter of DREPFQ is √3/6 × √3/2)

Multiply the value, we get;

√3× √3/ 6 × 2

Then, we get;

3/18

divide the values, we have;

= 0.167

Multiply this by six sides;

= 1

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The complete question:

G is the centroid of equilateral Triangle ABC. D,E, and F are midpointsof the sides as shown. P,Q, and R are the midpoints of line AG,line BG and line CG, respectively. If AB= sqrt 3, what is the perimeter of DREPFQ

Yes at 0.05 significance level we can conclude that mean income of those selecting plan B is bigger.

Given mean yearly income for sample of 40 subscribers is $57000 with standard deviation of $9200, mean yearly income for sample of 30 subscribers with standard deviation of $7100.

First we have been given significance level (α) of 0.05. So (1-α)=1-0.05=0.95 and we have to find Z score for this significance level. (1+0.95)/2=0.425

Z=1.44

Now we have to calculate margin of error which will be calculated as under:

\(M_{A} =Z*st/\sqrt{n}\)

=\(1.44*9200/\sqrt{40}\)

=1.44*9200/6.32

=1869.10

\(M_{B}=Z*st/\sqrt{n}\)

=\(1.44*7100/\sqrt{30}\)

=1.44*7100/3.47=2096.2

We know that margin of error shows the difference between real and calculated values. So if we increase mean of both plans by margin of error of respective plans then mean of plan A becomes=57000+1869.10=58869.10 and mean of plan B becomes =61000+2096.2=630622.2. We can clearly notice that mean of plan B is greater.

Hence it is reasonable to say that the mean of plan B is greater at the significance level of 0.05.

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The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.

To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.

To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.

Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.

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Answer:

8

Step-by-step explanation:

All you have to do is 14 - 6 = ?

Answer:

x+6=14

Step-by-step explanation:

Let x stand for Micahs age

14 is rauls age

subtract 6 from 14 to get micahs age

The mapping diagram above is a function since every element in set A is mapped to exactly one element in set B. There is no element in set A where there are two or more arrows pointing to different elements in set B.

We are given that;

Two sets table

Now,

A mapping from set A to set B represents a function if every element in set A is mapped to exactly one element in set B. That is, there should be no repeated elements in set A and no element in set A should have more than one arrow pointing to set B.

Looking at the mapping diagram, we can see that every element in set A is mapped to exactly one element in set B. There are no repeated elements in set A and no element in set A has more than one arrow pointing to set B.

Therefore, by the set  answer will be function.

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Answer:

4/9

Step-by-step explanation:

So, the ratio of the books is 8:10:6. After 2 books were taken off of each shelf, it became 6:8:4. All of these numbers added up is 18. So that means 8/18 of the books are math books, which can be simplified to 4/9.

Answer:

4/9

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

48 - 8c

Step-by-step explanation:

let c be the number of coworkers

48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.

Answer:

n = 48 - 8x

Step-by-step explanation:

n = how many chocolates Steve has left.

x = how many coworkers

The thoracic section of the spinal column is located in the upper back region and consists of 12 vertebrae that are connected to the 12 pairs of ribs. These ribs help protect vital organs such as the heart and lungs, and also play a role in breathing C thoracic.

Each pair of ribs is attached to a specific vertebra in the thoracic section of the spinal column. The top seven pairs of ribs are called true ribs because they attach directly to the sternum, or breastbone.

The next three pairs of ribs are called false ribs because they attach indirectly to the sternum through the cartilage of the seventh rib. The last two pairs of ribs are called floating ribs because they do not attach to the sternum at all, but instead end in the muscle tissue of the back.

The thoracic section of the spinal column also plays a crucial role in maintaining posture and supporting the weight of the upper body. When the thoracic vertebrae are aligned properly, the rib cage can expand and contract with each breath, allowing the lungs to function properly.

In conclusion, the 12 pairs of ribs attach to the thoracic section of the spinal column. This connection plays an important role in protecting vital organs, facilitating breathing, and maintaining proper posture.

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Answer:

0.001

Step-by-step explanation:

Answer:

\(\frac{1}{1000}\)

Step-by-step explanation:

\(10^{-3}\)

\(= \frac{1}{10^{3}}\)

\(= \frac{1}{1000}\)