A gaming company claimed that their role-playing games take over 65 hours to complete. A sample of 300 gamers played their role-playing games and were able to complete them with a mean time of 63, hours with a standard deviation of 10 hours. Using a 1% level of significance, test the gaming company's hypothesis.

A. Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
B. Reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
C. Fail to reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

The distance the plane flies between the two cities is 2,475 miles.

Given that, an aeroplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind.

We need to find the distance the plane flies between the two cities.

To get the distance, multiply the speed by time. You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time.

Let the speed of an aeroplane while travelling from Los Angeles to New York City be x.

Then the speed of an aeroplane during the return trip will be x-99.

Now, Distance=Speed × Time

So, x × 5 = (x-99) × 6 1/4

⇒5x=25/4 (x-99)

⇒20x=25x-2475

⇒5x=2475

⇒x=495

The speed of an aeroplane is 495 mph.

Now, the distance = 5x =5 × 495

=2,475 miles

Therefore, the distance the plane flies between the two cities is 2,475 miles.

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Answer: plane

Step-by-step explanation:

plane fliying in the sky it go fl y

Length of the other leg is  13.23 inches.

Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.Hence if L is the length of the other leg in inches, then20^2=5^2+l^2

or

400=225+L^2

or

L^2=400−225=175

Hence L=√175=13.23

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Answer:

Step-by-step explanation:

2+-x15 = -3

15.2 2 /15 -x =3

30 -x /15 = -3 x= 75

Answer:

Mode is 6.55

Step-by-step explanation:

To find the mode, you put the numbers in order from least to greatest and count how many times each number occurs. In this case its 6.55.

Answer: the mode set is 6.55

Step-by-step explanation:

First, order the data set:

5.88  6.12  6.21  6,55  6.55  6.55  7.47  7.48  7.48  8.37

The mode set is 6.55

The volume of the solid generated by revolving the region R bounded by

y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9 around x-axis = 0.25 cubic units

Given the region R bounded by y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9.

We will find the volume of the solid obtained by revolving this region around the x-axis through disc integration method.

The disc integration method is used to find the volume of a solid obtained by revolving a region around an axis parallel to x-axis.

Then, volume, V = [tex]\int\limits^0_{ln9} {y^2} \, dx[/tex]

                            = [tex]\int\limits^0_{ln9} {(e^{-2x})^2} \, dx[/tex]

                            = [tex]\int\limits^0_{ln9} {e^{-4x}} \, dx[/tex]

                            = [tex]\frac{e^{-4x}}{-4} |_{x=0\ to \ x=ln9}[/tex]

                            = [tex]\frac{e^{-4 ln9}}{-4} +\frac{1}{4}[/tex]

                            = [tex]\frac{9^{-4}+1}{4}[/tex] ≈ 0.25 cubic units

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Answer: The equation is true

Step-by-step explanation:

Since x=3 and y= 5

Substitute the values for x and y

y=2x-1

5=2(3)-1

5=6-1

5=5

⇒The equation is true

Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of rooms is x.

Each room is built to hold 6 puppies, so x rooms hold 6x puppies.

The equation for this is:

And the solution is 13 rooms.

Answer:

x = - 12

Step-by-step explanation:

- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1

- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)

multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions

- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3

- 22x + 12 = - 3x + 240 ( add 3x to both sides )

- 19x + 12 = 240 ( subtract 12 from both sides )

- 19x = 228 ( divide both sides by - 19 )

x = - 12

Answer:

D. 2.1775 x 10^7

Step-by-step explanation:

I just finished the quiz and got it correct

Hope its not to late!

Answer:

2.1775 x 107

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

.30*12+x=.40(12+x)

3.6+x=4.8+.40x

x-.40x=4.8-3.6

.6x=1.2

x=1.2/.6

x=2 gallons of acid needs to be added.

Proof:

.30*12+2=.4(12+2)

3.6+2=.4*14

5.6=5.6

Rani will use 3/2 cups of white rice for 3 cups of milk.

"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."

Now, for the given question;

1 cup of white rice is required for every 2 cups of milk by Rani.

Thus,

2 cups of milk ------> 1 cup of white rice.

So, using unitary method. Divide both side by 2.

1 cups of milk ------> 1/2 cup of white rice.

Now, calculate for the 3 cups of milk.

multiplying both side by 3.

3 cups of milk ------> 3/2 cup of white rice.

Therefore, the 3/2 cups of white rice required for the 3 cups of milk.

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The water level after the rainfall in the Colorado River is 3.35 meters.

The water level after the rainfall can be determined using the mathematical operation of addition.

A mathematical operation changes the output value of some input values.

For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.

The average water level in the Colorado River = 2.55 m

Increase in water level following the large rainfall = 0.8 m

New water level after the rainfall = 3.35 M (2.55 + 0.8)

Thus, the water level after the rainfall in the Colorado River is 3.35 meters.

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Answer:

270

Step-by-step explanation:

From (1) and (2), we get,

> y + 90 = 2/3X

> 1/3 X + 90 = 2/3X

> 90 = 1/3 X

> X = 270

Therefore

Answer:

• [tex](f+g) (x)[/tex]  = [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex] = [tex]5x - \sqrt x - 2[/tex]

Step-by-step explanation:

[tex]f(x) = 7x - 2[/tex]

[tex]g(x) = \sqrt{x} + 2x[/tex]

To calculate [tex](f+g) (x)[/tex] and [tex](f-g)(x)[/tex], we have to add and subtract [tex]f(x)[/tex] and [tex]g(x)[/tex] respectively:

• [tex](f+g) (x)[/tex]

⇒ [tex]f(x) + g(x)[/tex]

⇒ [tex]7x - 2 \: + \sqrt{x} + 2x[/tex]

⇒ [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex]

⇒ [tex]7x - 2 - (\sqrt x + 2x)[/tex]

⇒ [tex]7x - 2 - \sqrt x - 2x[/tex]

⇒ [tex]5x - \sqrt x - 2[/tex]

The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the

Six Sigma process

The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.

A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.

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The coordinates of point A is(-1,5) of coordinate  plane.

What is the short definition of a coordinate plane?

For point (x1,y1) and (x2,y2) on coordinate plane if m is the midpoint of these points, then coordinate of mid point  is given by

(x1+x2)/2,  (y1+y2)/ 2

Given point

B= (-5,1)

M = (-3,3)

we have to find point A, let it be (x,y)

using the above formula , midpoint m is

-3= (-5+x)/ 2                    3=  (1+y)/ 2

-3*2= -5+x                           6= 1 +y

-6 +5 = x                             6-1 =y

x = -1                                    y = 5

Thus, the coordinates of point A is(-1,5).

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It is appropriate to use a sample at

Options A, C, and D

This is further explained below.

Generally, Placement with respect to one's immediate environment; is the manner in which something is arranged. the whole physical, social, and psychocultural influences that operate upon a person to direct and control his or her conduct is referred to as an individual's environmental context.

In conclusion, It is OK to utilize a sample while answering the following question: What proportion of people who drive pick-up trucks want their next vehicle purchase to be another pick-up truck?

How many people do you think would utilize a walkway that was constructed over a major road? Alternatives A, C, and D

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Ralph would most likely get more items correct than his Grandmother.

If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.

Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.

Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.

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Answer:

12

Step-by-step explanation:

√144 = 12

The amount of tax deductions in one payment period and one year based on a Social Security tax rate of 6.2% and Medicare tax rate of 1.45% are;

13. Kim's weekly Medicare deductions is $7.888

Her annual Medicare deductions is $410.176

14. Jeffrey's annual Social Security tax deductions is $3,517.0616

15. Kareem's annual Medicare tax deductions is $606.97

16. A. Parker's annual Social Security tax deductions is $4,836

B. His annual Medicare tax deductions is $1,131

According to the accounting firm BGM website,in the year 2022, an employee is expected to pay a tax of 6.2% of the first $147,000 of wages, for Social Security, and a Medicare tax of 1.45% of the first $200,000

13. Kim's gross weekly salary is $544.

Given that 544 × 52 = 28,288 < 200,000, we have;

Kim's Medicare deduction for one pay period is 0.0145 × $544 = $7.888

Kim receives her payment weekly, therefore, multiplying by 52 gives;

Annual Medicare tax;

52 × $7.888 = $410.176

14. Jeffrey's semimonthly salary = $2,181.80

Jeffrey's tax deductions for Social Security for one pay period is therefore;

0.062 × $2,181.80 = $135.27160

The number of semimonthly payment periods in a year = 26

Jeffrey's annual Social Security tax deductions is therefore;

15. Kareem's gross biweekly salary is $1,610

Kareem's Medicare deductions per pay period is therefore;

0.0145 × $1,610 = $23.345

The number of biweekly pay periods in a year is 26

Kareem's total Medicare deductions for the year is therefore;

16. Parker's gross monthly salary is $6,500

A. Parker's Social Security deductions for one month is therefore;

0.062 × $6,500 = $403

The deductions in a year is therefore;

B. Parker's Medicare deductions for one month is given by the equation;

0.0145 × $6,500 = $94.25

Parker's Medicare deductions for one year is therefore;

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Answer: 2 1/2 hours

Step-by-step explanation: 45/18 = 2 1/2

Answer:

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]

Step-by-step explanation:

Answer:

iakajakakam kwokwmajsj kakajnsnsj wjjsjajsj sjsjjsjs

Step-by-step explanation:

Answer:

pqr²−p²r−q²r+pq

Step-by-step explanation:

Let's simplify step-by-step.

pq(r²+1)−r(p²+q²)

Distribute:

=(pq)(r²)+(pq)(1)+−p²r+−q²r

=pqr²+pq+−p²r+−q²r

=pqr²−p²r−q²r+pq

Answer:    The price per foot will be 2.74$

Step-by-step explanation:

what is the relation between yard and foot?

The value of one yard is  equal to3 feet.

That is given by ,

1 yard =3 feet.

we have 2 yards piece of aluminium wire

Firstly,we have to find the cost of 2 pieces of aluminium wire.

2×3=6

The cost is 16.44

16.44/6=2.74.

Therefore the price per foot will be $2.74.

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Answer:2.74

Answer:

on what nothing there

Step-by-step explanation: