Convert.
pints = 61 quarts

Answer:

y = –three-fourthsx

Step-by-step explanation:

The graph of this equation runs through the point (2/3, 9/5), and it illustrates an inverse proportion, where y is inversely proportional to x.

An inverse proportion in mathematics is a relationship between two variables where a rise in one variable causes a fall in the other and vice versa. The two variables are thus inversely proportional to one another.

Let x be the independent variable and y be the dependent variable in an inverse proportion. Then the general form of an inverse proportion is:

y = k/x

where k is a constant of proportionality.

To find the specific formula for an inverse proportion that goes through the point (2/3, 9/5), we can substitute these values into the equation and solve for k:

y = k/x

9/5 = k/(2/3)

Multiplying both sides by (2/3), we get:

k = (9/5) * (2/3) = 6/5

Therefore, the specific formula for the inverse proportion is:

y = (6/5) / x

y = 6/(5x)

This equation represents an inverse proportion, where y is inversely proportional to x, and the graph of this equation passes through the point (2/3, 9/5).

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The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let A = the students get an A

Let B = the student's studied for the psychology test

We know that probability:

P(B) = 60% = 0.60  and

P(A/B) = 25% = 0.25

We know that:

[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]

Now the probability that someone that gets an A actually studied for the Psychology test:

P(A∩B) = P(B) ×0.25

P(A∩B)  = 0.60×0.25

P(A∩B)  = 0.15

Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

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Answer:

=d+6c

Step-by-step explanation:

I hope this is the right answer

Answer:

y = -1/2x+1

Step-by-step explanation:

First step is to find the slope

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

    = ( 4-2)/(-6 - -2)

       (4-2)/(-6+2)

       2/-4

     -1/2

Then we can use the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = -1/2x+b

Substitute a point into the equation to find b

2 = -1/2(-2) +b

2 = 1+b

Subtract 1 from each side

1 =b

y = -1/2x+1

y = mx + b

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

So y = (-1/2)x + 1 is the equation

ANSWER:

[tex]y=(-\frac{1}{2})x[/tex]+1

so letter c

The method which is used for every third person on a list of soccer players selected for a survey is known as systematic sampling.

The sampling method is the method of selecting the subset from the set to make a statical inference.

Because of its simplicity, systematic sampling, also known as the nth name selection approach, is frequently employed instead of random sampling. Following the collection of the sample, every nth person of the population is registered in the sample.

Thus, the systematic sampling method is used.

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Answer:

∅

Step-by-step explanation:

y = -x - 2

3x + 3y = 6

3x + 3(-x - 2) = 6

3x - 3x - 6 = 6

0x - 6 = 6

0 = 12

SOLUTION DNE (∅)

I hope this helps!

Answer:

16.3 ft

Explanation:

circumference of circle = 2πr       ( r is the radius )

Here radius = 2.6 ft

Circumference:

Digram :

[tex] \setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 2.6ft\ cm}\end{picture}[/tex]

[tex] \\ \\ [/tex]

Given :

[tex] \\ \\ [/tex]

To find :

[tex] \\ \\ [/tex]

Solution :-

We know :

[tex] \boxed{ \rm Circumference_{(\sf circle)} = 2\pi \: radius}[/tex]

[tex] \\ [/tex]

So:-

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2\pi \: radius \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2 \times \dfrac{22}{7} \times 2.6\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2 \times \dfrac{22}{7} \times \dfrac{26}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{44}{7} \times \dfrac{26}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{1144}{7 \times 10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{1144}{70} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Circumference_{(\bf circle)} =16.34~ft\{approx\} \\ [/tex]

Answer:

∠ E ≈ 71°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos E = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EG}{EF}[/tex] = [tex]\frac{21}{63}[/tex] , then

∠ E = [tex]cos^{-1}[/tex] ( [tex]\frac{21}{63}[/tex] ) ≈ 71° ( to the nearest degree )

Answer:

B

Step-by-step explanation:

Is the correct answer

The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.25%  is $4,779.19.

Given Data

A = P + I where

P (principal) = $3,500.00

I (interest) = $1,279.19

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.25/100

r = 0.0225 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,500.00(1 + 0.0225/1)^(1)(14)

A = 3,500.00(1 + 0.0225)^(14)

A = $4,779.19

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Step-by-step explanation:

[tex] = 1 \frac{1}{2} - 1 \frac{1}{4} \\ [/tex]

[tex] = \frac{1 \times 2 + 1}{2} - \frac{1 \times 4 + 1}{4} \\ [/tex]

[tex] = \frac{3}{2} - \frac{5}{4} \\ [/tex]

[tex] = \frac{3}{2} \times \frac{2}{2} - \frac{5}{4} \times \frac{1}{1} \\ [/tex]

[tex] = \frac{6 - 5}{4} \\ [/tex]

[tex] = \frac{1}{4} \\ [/tex]

The probability that client D will be able to live to be 59 years old is 0.4.

Youe information is incomplete. Therefore, an overview of probability will be given.

Let's assume that there is an entire population of 50 people and the number of those that lives to 59 years is 20.

Therefore, the probability that can be deduced of those that live to 59 years will be:

= 20/50 × 100

= 2/5 × 100.

= 40%

= 0.4

In conclusion, the probability is 0.4.

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Answer:

10n-13

Step-by-step explanation:

The value of the definite integral is 68.

We have,

Break down the integral into two parts:

[tex]\int\limits^6_2 (5f(x) + 2)dx = \int\limits^6_2(5f(x)dx + \int\limits^6_2(2)dx[/tex]

Given that the average value of f(x) on this interval is 3, replace 5f(x) with 5 * 3 = 15:

[tex]\int\limits^6_2 (5f(x)dx = \int\limits^6_2(15)dx[/tex]

= 15(6 - 2)

= 15(4)

= 60

And,

[tex]\int\limits^6_2 2 dx = 2 [6 - 2] = 8[/tex]

Adding both parts of the integral:

= 60 + 8

= 68

Therefore,

The value of the definite integral is 68.

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Answer:

Sector area= 3.143 units²

Arc length = 2.095 units

Answer:

arc length = 3 * 40° * (PI / 180)

arc length = 2.0943951024

sector area = (radius * angle (radians))

sector area = (3 * 0.6981317008)

sector area = 3.1415926536

Source: https://www.1728.org/radians.htm

Step-by-step explanation:

Answer:

B) Rs. 200 is C.P. when shopkeeper gains 20% even though he offers 20% discount on a watch having M.P. Rs 300

Answer:

18 Games

Step-by-step explanation:

For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.

Total Games * Percentage won in fraction form = Games won

Fill the values.

30 * 3/5 = X

Simplify

18=X

Answer:

Likekly

Step-by-step explanation:

P(particular event) = [tex]\frac{2}{3}[/tex]

Out of 3, 2 is success. so, it is likely

Answer:

(

x

,

y

)

=

(

26

5

,

−

6

5

)

Step-by-step explanation:

Answer:

x = 85°

y = 45°

Step-by-step explanation:

For x, a line measures 180°, so subtract 95° from 180° to get 85°.

For y, all the angles in a triangle measure to 180°, and since we know x, add it to 50° and subtract it from 180°. 85° + 50° = 135°, and 180° - 135° = 45°

Answer:

x = 85

y = 45

Step-by-step explanation:

for x, angles on a straight line add up to 180 so 95 + x = 180 then evaluate for x

for y, angle in a triangle add up to 180 so 50+85 (as evaluated for x) +y= 180 and evaluate for y

Answer:

Hamilton

Hamilton

Hamilton

Circuit

Circuit

Answer:

I think the answer is No

Step-by-step explanation:

It is not a function because there cannot be two points on the same x value. Hope I remembered this correctly.

Answer:

I guess both of the answers are correct.Hope the picture will help you.....

Answer: the answer on khan academy is 144 pie units^3

Any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

Given quadratic equation is:

[tex]x^{2} +bx+5=0[/tex]

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.

To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.

[tex]D\geq 0[/tex]

[tex]b^{2} -4(1)(5)\geq 0[/tex]

[tex]b^{2}-20 \geq 0[/tex]

[tex]b^{2} -(2\sqrt{5}) ^{2}\geq 0[/tex]

[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]

b∈[tex](-\infty,-2\sqrt{5}][/tex]∪[tex][2\sqrt{5},\infty)[/tex]

Hence, any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

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Answer:

high chance tat it is 405/88. mixed farction = 4 53/88

Step-by-step explanation:

Answer:

120 degrees

Step-by-step explanation:

the angle at the center is called the central angle and you can tell because J is the center of the circle

The minor arc that is between point H and point K (the shorter way) is the same measure as the central angle

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

Form the task content;

The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

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Answer:

137

Step-by-step explanation:

There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.

16 · 8 = 128 cans

The amount of cans Maria brought is already given. All that's left is to add the amounts.

128 + 9 = 137

They brought 137 cans in all.

hope this helps!