help!! i need help asap! help is very much appreciated

The 96 % confidence interval for the cans, given the diameter and standard deviation, is (50.45, 53.55).

The 96% confidence interval for the mean diameter of soda cans manufactured by the company can be calculated using the following formula:

= Mean ± (critical value x standard deviation / square root of sample size)

The critical value for a 96 % confidence interval is 2. 33 so the lower bound of the interval is:

= 52 - ( 2.33 x 2. 3 / √12 )

= 50. 45

The upper bound of the interval is:

= 52 + ( 2.33 x 2. 3 / √12 )

= 53. 55

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The simplification of the expression is determined as -5x⁵ + x⁴ + 9x³ - 6x² - 43x - 96.

The given expression is simplified as follows;

The given expression;

(x⁴ + 5x³ - 5x² - 45x - 36) - (5x⁵ - 4x³ + x² - 2x + 60)

open the bracket as follows;

= x⁴ + 5x³ - 5x² - 45x - 36 - 5x⁵ + 4x³ - x² + 2x - 60

Collect like terms as follows;

= -5x⁵ + x⁴ + 9x³ - 6x² - 43x - 96

Thus, the simplification of the expression is determined as -5x⁵ + x⁴ + 9x³ - 6x² - 43x - 96.

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You are more likely to win by playing regular defense.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were won, 12 were lost.

And out of 50 prevent defense game, 29 were won, 21 were lost.

Probability to win the game by playing regular defense is:

P(win | regular) = 38/50 = 0.76

Probability to win the game by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58),

Hence, you are more likely to win by playing regular defense.

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The Projection of v onto w is (-3/2, 3/2).

The projection of v onto w is found by using the formula:proj_w(v) = (v · w / ||w||²) * w

Where v is the vector to be projected, w is the vector onto which we want to project v, and ||w||² is the magnitude of w squared.

To find the projection of v onto w if v = (-5,-2) and w = (1,-1), we first need to calculate the magnitude of w squared.||w||² = 1² + (-1)²= 2

Next, we need to calculate the dot product of v and w.v · w = (-5)(1) + (-2)(-1)= -5 - (-2)= -3

Now, we can use the formula above to find the projection of v onto w.proj_w(v) = (v · w / ||w||²) * w= (-3 / 2) * (1,-1)= (-3/2, 3/2)

Therefore, the projection of v onto w is (-3/2, 3/2).

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Answer:

6/12 ≈ 1/2

Step-by-step explanation:

Q) 2/3 × 3/4 = ?

→ a = 2/3 × 3/4

→ a = (2 × 3)/(3 × 4)

→ a = 6/12

→ [ a = 1/2 ]

1/2

Multiply the numerators and the denominators of both fractions,

2  *  3

_____    

3  *  4

= 6/12

Simplify.

1/2

Answers:

Slope = -900

Interpretation: The tank is losing 900 gallons of water per month

=======================================================

Explanation:

We see that the two points (0,9000) and (10,0) are on the diagonal line

Apply the slope formula

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

m = (0-9000)/(10 - 0)

m = -9000/10

m = -900

The slope is -900

An alternative way to find the slope is to use the hints given by your teacher. You'll divide the two legs of the triangle and you should get -900. Don't forget to make the slope negative.

The negative slope indicates the line goes downhill as we move from left to right, which matches what the graph shows.

A negative slope means the y value goes down as x goes up.

More specifically, the water in the tank goes down as the time value goes up.

The tank is losing 900 gallons of water per month. This is because x is in months and y is in gallons.

Answer:

X=3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 3

Hope this helps. Pls give brainliest.

Answer:

3

Step-by-step explanation:

5x-2=13

5x=13+2

5x=15

x=15/5

x=3

Answer:

D. x = 18 cm , y = 9

Step-by-step explanation:

With reference angle 60

perpendicular (p) = 9\(\sqrt{3}\)

base(b)= y

hypotenuse (h) = x

Then

sin 60 = p/h

\(\frac{\sqrt{3} }{2} = \frac{9\sqrt{3} }{x}\)

x = 18

Now

cos 60 = b/h

1/2 = y/18

y = 9

Hope it will help :)

Answer:

it's answer is

D. = 18 and y = 9

Given parameters:

Equation of the straight line;

              y - 3  = \(\frac{-1}{2}\)(x -2)

We can determine the slope of any straight line from the equation of such lines.

Generally, a straight line has the formula;

                   y  = mx  + C

where y is the y-axis coordinate and x is the x-axis coordinate

           m is the slope and c is the y-axis intercept

Now let us express the given equation in this format;

             y - 3  = \(\frac{-1}{2}\)(x - 2)

Multiply both sides by 2;

      2(y - 3) = -1(x -2)

        2y -6 = -x + 2

Rearrange to the form y = mx + c

       2y  = -x + 2 + 6

       2y  = -x + 8

   divide by 2;

         y = \(\frac{-1}{2}\)x + 4

        y = mx + c

the slope is m and it is equal to \(\frac{-1}{2}\)

If we chose different intervals for binning data in a frequency table can affect the level of detail, the frequency of values, and the distribution of values in each bin. It's important to choose an interval size that is appropriate for the dataset and provides meaningful insights into the data.  Here are some ways in which the frequency table could be affected.

Choosing different intervals will result in a different number of bins, which affect the detail. For example, a smaller interval size will result in more bins, which may give a more detailed view of the data.

The frequency of values in each bin will change depending on the interval size. For example, if we have a dataset with values from 0 to 100, and we choose an interval size of 10, we will have 10 bins, each with a frequency count of values falling into that range.

The distribution of values in each bin may vary depending on the interval size. For example, if we have a dataset with values ranging from 0 to 100 and we choose an interval size of 5, we may get a more detailed view of the distribution of values.

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Answer: See below

Step-by-step explanation:

The correct answers are :

A ) x + y = 57 - represents amount of tickets sold

F) 6x + 2.5y = 265 - represents amount of money earned

35 adult tickets were sold

The exponential relationship between x and y is represented graphically in the graph of 3ˣ = y, which can also be used to demonstrate the characteristics of exponential growth and decay.

A graph is a type of data structure made up of nodes (also known as vertices) and edges. Graphs are frequently employed to depict social, physical, and abstract networks. Data structures that involve relationships between various elements can also be represented using graphs. Social networks, road networks, and internet networks are a few instances of these data structures. Graphs are effective because they can efficiently and intuitively depict the relationships between various entities.

The graph of 3ˣ =y is a curve that starts at the origin (x=0, y=0) and rises steeply to the right. As x increases, y increases exponentially, forming a curve that looks like a smooth mountain with a steep peak.

At the origin (x=0, y=0), the y-axis is flat, indicating that y is equal to zero when x is equal to zero. As x increases, y increases exponentially, forming a smooth curve that rises steeply to the right. The graph then levels off as x increases and eventually reaches a horizontal plateau as x approaches infinity.

This graph can be used to illustrate the properties of exponential growth and decay, as well as the relation between x and y. For example, if y is doubled, x must be multiplied by 3 to maintain the same graph. Similarly, if x is halved, y must be divided by 3 in order to keep the line level.

The graph of 3ˣ = y provides a visual representation of the exponential relationship between x and y, and can be used to illustrate the properties of exponential growth and decay.

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Answer:

yeahh and made like the profile icon on the left hahahaha

Step-by-step explanation:

Answer:

3(n-5)=2n+16

Step-by-step explanation:

3 lots of 'n' and 5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)

Answer:

---------------------

Solve in below steps:

No solutions as we ended up with false equality.

Answer:

no solution

Step-by-step explanation:

0.5 ( -2 + 4d ) - 2d = -13

Solve the brackets.

-1 + 2d - 2d = -13

The term "-2d" cancels out, leaving us with:

-1 = -13

Since this equation is not true (the left side does not equal the right side), there is no solution to the equation.

In other words, there is no value of "d" that satisfies the equation.

Answer:

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In all ortho-para directing groups, the atom attached to the aromatic ring possesses an unshared pair of electrons. The ortho-para directing groups in organic chemistry refer to a group of functional groups that have the ability to direct substitution reactions towards either ortho or para positions in the aromatic ring.

The mechanism behind this behavior is attributed to the resonance or inductive effects of the substituent functional group.The ortho-para directing groups, unlike meta-directing groups, don't block the substitution reaction of the aromatic ring. They favor substitution at ortho and para positions of the ring. The feature common to all ortho-para directing groups is that the atom directly attached to the aromatic ring has a lone pair of electrons. This property allows them to stabilize positive charges generated on the aromatic ring during substitution reactions.

Hence, they direct the substitution reaction towards the ortho- or para-position. For instance, in nitrobenzene, the nitro group directs the incoming electrophile towards the ortho and para position as the nitrogen atom attached to the aromatic ring has a lone pair of electrons.

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Answer:

C. The atom directly attached to the aromatic ring is more electronegative than carbon.

Step-by-step explanation:

In ortho-para directing groups, the atom directly attached to the aromatic ring is more electronegative than carbon. This electronegativity difference creates a polar bond, which allows for efficient delocalization of the positive charge in the arenium ion. This polarization facilitates the stabilization of positive charge and makes the ortho and para positions more favorable for electrophilic aromatic substitution reactions.

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Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Slope: A number that describes both the direction and steepness of a line

Unit rate:A ratio that is used to compare quantities

Answer:

Sin [Tan(0)]

We know, Tan(0) =0

Therefore, Sin [0] =0

Step-by-step explanation:

First, we will find the equation for line A, then we will see that the correct options are B and F.

A general linear equation is written as:

y = a*x + b

Where a is the slope (or rate of change) and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope can be written as:

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

We can use that to find the slope for equation A.

I will use the points (1, 2) and (3, 10).

\(a = \frac{10 - 2}{3 - 1} = 4\)

then the equation is something like:

y = 4*x + b

To find the value of b, we can use one of the two points above, for example, if we use the first one, it means that when x = 1 we must have y = 2, then:

2 = 4*1 + b

2 - 4 = b

-2  =b

The equation for line A is:

y = 4*x - 2

Then we have:

Then the statements that are correct are:

B) "The y-intercept of Function A is less than the y-intercept of Function B."

F) "The rate of change of Function A is greater than the rate of change of Function B"

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9 + x

sum = addition so the answer would be 9 + ×

Answer:

a. 100 m

b. 900 m

c. 5,100 m

d. 8,800 m

e. -650 m

Step-by-step explanation:

The measure of angle ABO is 60 degrees. As O is the incenter of an isosceles triangle, the angle bisectors from O to AB and to the equal sides of the triangle are congruent.

Let the isosceles triangle be ABC with AB = AC and angle C = 100 degrees. Then, angle A is also 40 degrees. Since angle ABO is the exterior angle to triangle BOO100, it is equal to the sum of angles BOO100 and O100B.

Since triangle BOO100 is isosceles with BO = OO100, angle BOO100 = angle BOO = 40/2 = 20 degrees.

Similarly, triangle BO100 is isosceles with BO = O100, so angle BO100 = angle BCO = (180 - 100)/2 = 40 degrees. Thus, angle ABO is 20 + 40 = 60 degrees.

Therefore, the answer is (A) 40.

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Answer:

35 units

Step-by-step explanation:

Using Pythagoras Thereoem:

a² + b² = c²

21² + 28² = c²

c = √21² + 28² = √441 + 784 = √1,225 = 35 units

Answer:

The transformation shown is a reflection across the y-axis.

Step-by-step explanation:

The transformation shown is a reflection across the y-axis. (This is because A is mirrored over the y-axis to B)

Answer:

the answer is reflection

The value of x in the diagram of angle ABD and angle CAD is \(\sqrt{45}\).

Angle measurement is said to be the amount of rotation from the first to an endpoint of a ray.

The angle is known to be a positive angle when the rotation is said to be clockwise and also negative if the rotation is known to be  anticlockwise. Note that Angles can be measured through the use of of a lot of units.

Note that  ∠ ABD = ∠CAD.

\(\frac{5}{x} = \frac{x}{9}\)

x  =  \(\sqrt{45}\).

Therefore, The value of x in the diagram of angle ABD and angle CAD is \(\sqrt{45}\).

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Answer:

Step-by-step explanation:

The total cost (c) to put on the seminar is c = 6,930 + 130x + 575x, where x represents the number of students who enroll in the seminar.

The total cost (c) to put on the seminar can be modeled using the following equation -

c = 6,930 + 130x + 575x

here, x represents the number of students who enroll in the seminar.

The above equation takes into account the fixed costs of the conference room, instructor compensation, lab assistants, and promotion (6,930), as well as the variable costs of renting computers (130x) and the seminar fee charged to each student (575x).

As more students enroll in the seminar, the total cost will increase due to the additional computer rental and seminar fee costs.

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Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

Answer:

Step-by-step explanation: