I. In the testing of a new production method, 18 employees were selected randomly and asked to try the new method. The sample mean production rate for the 18 employees was 80 parts per hour and the sample standard deviation was 10 parts per hour. Provide 90% confidence intervals for the populations mean production rate for the new method, assuming the population has a normal probability distribution.

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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45 years will take for 15 grams of strontium to decay to 5 grams

What is strontium?

The chemical element strontium has the atomic number 38 and the symbol Sr. Strontium is a soft, silver-white, yellowish metallic element that is an alkaline earth metal and has a strong reactivity to chemicals. When the metal is exposed to air, a thick layer of dark oxide forms.

Equation Given.

\(P = Po e^{-0.0244t}\)

given P = 5 gram

          \(P_o = 15 gram\)

Hence ,time taken

\(5 = 15 e^{-0.0244t}\)

\(\frac{5}{15} = e^{-0.0244t}\)

Taking log both side,

\(ln(\frac{1}{3} )=ln (e^{-0.0244t})\\\\-1.098 = -0.0244t\\\\t=\frac{1.098}{0.0244}\\\\t=45years\)

Hence, 45 years will take for 15 grams of strontium to decay to 5 grams.

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Answer:

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Step-by-step explanation:

A doctor is measuring the average height of male students at a large college.

The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team.

Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Since we know that the confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

For the given case, the confidence level is 95% and the corresponding confidence interval is (63.5, 74.4) which represents the true mean of heights for male students at the college where the doctor measured heights.

Therefore, it is valid to conclude that the doctor is 95% confident that the mean height of male students at the college is within the interval of (63.5, 74.4).

Answer:

x = 3

This equation has only one solution.  The only number that will make both sides of the equation equal is 3.

Step-by-step explanation:

2(4x -3) -8 = 4 + 2x  Distribute the 2

8x -6 -8 = 4 + 2x  Combine like terms

8x -14 = 4 + 2x  Subtract 2x from both sides S(Subtraction property of equality)

6x - 14 = 4  Add 14 to both sides (subtraction property of equality)

6x = 18  Divide both sides by 6 (division property of equality)

x = 3

Check:

2[4(3) - 3] - 8 = 4 + 2(3)

2(12 - 3) - 8 = 4 + 6

2(9) - 8 = 10

18 - 8 = 10

10 = 10

Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test

Answer:

y= 3x + 5

Step-by-step explanation:

y

the intecept cross x=3 and y=5

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

Ok I wont

Step-by-step explanation:

You told me not to answer so I'm not.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:

The correct answer is C. President Wilson included resolutions specifically about European territories in his Fourteen Points because territorial disputes among European nations were a major reason the war began in the first  place.

Step-by-step explanation:

The Fourteen Points were the pacifist plan devised by President Woodrow Wilson at the end of World War I, with the aim of avoiding tensions between the former European combatants of the conflict and thus achieve a lasting peace between nations, framed in the League of Nations as supranational entity. Basically, the Fourteen Points sought to avoid the imposition of excessive sanctions on the defeated, as well as the obtaining of great benefits by the winners, so as not to break the territorial status quo prior to the war and thus avoid generating tensions in the future.

Answer:

C.) Territorial disputes among European nations were a major reason the war began in the first place.

Step-by-step explanation:

This is correct if it is for Connexus :)

Answer:

If the point (1,5) lies on a circle with center (0,0), then the radius of the circle is the distance from the center to the point (1,5), which is:

r = sqrt((1-0)^2 + (5-0)^2) = sqrt(26)

So the equation of the circle is:

x^2 + y^2 = 26

To find a point in quadrant 2 that lies on the circle, we need to find a point with a negative x-coordinate and a positive y-coordinate that satisfies this equation.

Among the given options, only (a) (-5,1) and (e) (-2,3) have a negative x-coordinate. Let's check if they satisfy the equation of the circle:

For point (a) (-5,1):

x^2 + y^2 = 26

(-5)^2 + 1^2 = 26

25 + 1 = 26

This point does not lie on the circle.

For point (e) (-2,3):

x^2 + y^2 = 26

(-2)^2 + 3^2 = 26

4 + 9 = 26

This point also does not lie on the circle.

Therefore, among the given options, there is no point in quadrant 2 that lies on the circle.

Step-by-step explanation:

since the center of the circle is at the origin, that means that the circle is evenly going through all four quadrants - one quarter arc after the other.

the point (1, 5) is in the first quadrant (upper right one, positive x, positive y).

the circle arc in the second quadrant (upper left one, negative x, positive y) is the mirrored image of the arc in the first quadrant across the y-axis.

so, the point on it gets mirrored too.

that means, it's coordinates are then the same y and the x is converted to its negative value :

(-1, 5)

that is the easily identifiable point in the second quadrant that has to be on the circle.

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer:

24

Step-by-step explanation:

\(360 \div 15=24\)

Answer:

x=28.928571 AKA the answer is 28

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

1. The completion of the inventory table is as follows:

2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO      Weighted-Average

Ending inventory          $425          $691                $573

Cost of goods sold      $492          $226               $344

FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $425 ($917 - $492)

Cost of goods sold = $492 (12 x $20 + 12 x $21)

FIFO:

Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)

Cost of goods sold = $226 ($917 - $691)

Weighted Average:

Ending inventory = $573 (40 x $14.33)

Cost of goods sold = $344 (24 x $14.33)

                                    Units  Unit Cost    Total Cost

Jan. 1      Beg. Inventory  20     $8.00           $160

May 10   Purchases          15     $11.00           $165

June 30 Purchases          17    $20.00         $340

Dec. 10  Purchases          12    $21.00          $252

Total                                64                          $917

Units sold                       24

Ending inventory           40 (64 - 24)

Average cost = $14.33 ($917/64)

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2. Calculate the cost of the ending inventory and the cost of goods sold under LIFO, FIFO, and Weighted-Average.

100:224 = 61:x, or 61/100 = x/224

Cross multiply; 100x=13664

Then, divide by 100; x=136.64, or about 137 groups would contain all girls

Answer:

(-4,-6),(-2,-5),(0,-4),(4,-2)

Step-by-step explanation:

(x,y)

x represents the x co-ordinate of a point

y represents the y co-ordinate of a point

Answer:

-6,-2,0,4

Step-by-step explanation:

Since x comes before y in an ordered pair, you would need to find the where the x is, then search for the y number it connects with. For finding the x, use the y part, and look for the numbe it connects with on the graph. In this case youy pairs would be, (-4,-6) (-2,-5) (0,-4) (4,-2). Hope I helped!

Answer:

See below

Step-by-step explanation:

The Mean Squared Error is approximately 22.734.  It is the average squared difference between the predicted values and the actual values in a dataset.

Mean Squared Error (MSE) is a common metric used to measure the accuracy of a statistical model or predictor.

To calculate the Mean Squared Error (MSE), we first need to square the absolute errors and then take the average of the squared errors.

The squared errors for each observation are:

\(1^2 = 1\\5.8^2 = 33.64\\2.22^2 = 4.9284\\6^2 = 36\\7.4^2 = 54.76\\2.66^2 = 7.0756\)

To find the MSE, we add up the squared errors and divide by the number of observations:

MSE = (1 + 33.64 + 4.9284 + 36 + 54.76 + 7.0756) / 6

= 136.404 / 6

= 22.734

Therefore, the Mean Squared Error is approximately 22.734.

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Answer:

1. range = {-8,-6,0,8}

2. My graph is attached to this response as a photo.

Step-by-step explanation:

1. ⭐What is the "domain" of a function?

⭐What is the "range" of a function?

⭐What is the "set notation"?

Therefore, we have to find the corresponding y-values for the given x-values, and then write said y-values in set notation.

To find the corresponding y-values for the given x-values, substitute each given x-value into g(x) and solve for g(x).

✦ When x = -3

\(g(x) = 2x-2\)

\(g(-3) = 2(-3) -2\)

\(g(-3) = -6 -2\)

\(g(x) = -8\)

✧ y = -8

________________________________________________________

✦ When x = -2

\(g(-2) = 2(-2) -2\)

\(g(-2) = -4-2\)

\(g(-2) = -6\)

✧ y = -6

________________________________________________________

✦ When x = 1

\(g(1) = 2(1) -2\)

\(g(1) = 2-2\)

\(g(1) = 0\)

✧ y = 0

________________________________________________________

✦ When x = 5

\(g(5) = 2(5) -2\)

\(g(5) = 10 -2\)

\(g(5) = 8\)

✧ y = 8

________________________________________________________

Next, we have to write the y-values in set notation. Make sure to write it from least to greatest.

range = {-8, -6, 0, 8}

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

B. x = 0.9

C. x = 1.9

D. x = 1.1

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

\(\\ \sf\longmapsto 0.775\)

\(\\ \sf\longmapsto 0.77\)

\(\\ \sf\longmapsto 0.8\)

Option A is correct

What the given experiment demonstrates is; The magnitude of acceleration according tp newton's second law of motion

Newton's second law of motion states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

This law basically establishes a relationship between the net force and the acceleration, which is expressed as;

∑ F = m a

where;

∑F is the sum of the external forces

m the mass of the body

a is the acceleration of the body

The initial situation in the question shows the block and a baking mass. This means that an acceleration is created towards the hanging mass expressed as;

W₁ = M₁ g

F = ma

Thus;

M₁g = m a

a = (M₁g/m)

where;

W₁ is the weight of the body  

M₁ is the mass of the body hanging under the acceleration of gravity.

For the second case, there are two masses, with one on each side, and so we have;

∑ F = W₁ - W₂

∑F = (M₁ - M₂) g

Using Newton's second law of motion gives us;

(M₁ - M₂ )g = ma

a = (M₁ - M₂ )mg

Thus, the acceleration depends on the difference of the hanging masses which proves Newton's second law of motion.

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