When the temperature stays the same, the volume of a gas is inversely proportional to the pressure
of the gas. If a balloon is filled with 45 cubic inches of a gas at a pressure of 14 pounds per square
inch, find the new pressure of the gas if the volume is decreased to 15 cubic inches.
15
A) 28 pounds per square inch
B) pounds per square inch
14
D) 39 pounds per square inch
C) 42 pounds per square inch

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

Answer:

purple

Step-by-step explanation:

systems of equations involves lines that cross

Answer: 5

Step-by-step explanation:

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Son el B el C y el E

Answer:

C,

Step-by-step explanation:

This is because in a parallelogram the opposite angles are supposed to be congruent showing that when you draw line from opposite ends of the angles they will bisect at the middle of the parallelogram.

If you don't understand my explanation, you can comment and I make it more clear.

Answer: 37.5%

Step-by-step explanation:

Percentage = Given Quantity/Total Quantity*100

So here, it will be like: 45/120*100

                                    =0.375*100

                                    =37.5%

Answer: 10 visit

Step-by-step explanation:

Given

45 Points earned by signing up

11.5 points earned for each visit to the theatre

160 points are needed for a movie ticket

Suppose, after x visit he gets enough points to buy a movie ticket

[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]

So, after 10th visit, he earns a movie ticket

Answer:

9.42 cubic inches

Step-by-step explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.

Answer:

[i] 12x + 5 = 1/2(83 +95)

12x + 5 = 89

12x = 84

x = 7.

[ii] 9x + 7 = 1/2(198 + 7x - 8)

18x + 14 = 198 + 7x - 8

11x = 176

x = 16.

[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)

30x16 21x + 20

9x = 36

x = 4.

[iv] 20x - 4 = 360 - 2 × 72

20x = 220

x=220/20=11°

[v] 13x - 1 = 2(6x + 11)

13x - 1 = 12x + 22

x = 23.

[vi] 46 = 1/2(21x-5-x-23)

20x2892

20x = 120

x = 6.

[vii] 6x - 21 = 1/2(13x - 3-3x - 11)

12x - 4210x - 14

2x = 28

x = 14.

[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)

4x + 2 = 5x - 7

x = 9.

[ix] 9x - 4 = 180 - 76

9x - 4 = 104

9x = 108

x = 12.

Answer:

3

Step-by-step explanation:

Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Answer:

It’s the third option

Step-by-step explanation:

Cuz 4^2 - 2^2 equals the third option

Answer:

(2, 8)  and (3, 11)    --- > For example

Step-by-step explanation:

Plug in any number for x

I will use 2.

So if the equation is y = 3x + 2, then the new equation will be ...

y = 3(2) + 2

y = 6 + 2

y = 8     ----> One coordinate can be (2, 8)

Another number you could use is 3.

y = 3(3) + 2

y = 9 + 2

y = 11    ----> Another coordinate may be (3, 11)

Answer:

4W = 25

Step-by-step explanation:

The hanger is balanced, so each side must have the same quantity.

There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.

Answer:

We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:

We can form the equation:

4w = 25

w = 6.25

If u need anymore help understanding let me know :)

hope this helps :0

Step-by-step explanation:

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

Learn more about Percentage here :

https://brainly.com/question/626448

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Answer:

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answer:

23 lies between. 16 and 25

Answer:

360

Step-by-step explanation:

Answer: 15 years

Step-by-step explanation:

$140 doubled is $280 which happens every 15 years

Answer:

Percentage: 75%

Fraction: 3/4

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w