QUESTION 11
A box of 500 components contains 125 that are defective. Two components are drawn at random, tested and not replaced. Find
probability that both are defective.
A. 0.004
B. 0.0621
C. 0.25
D. 0.4985

Answer:

slope = -720

y-intercept: 8,000

Step-by-step explanation:

The slope in this case is a negative slope, since the word "decreased" is being used. The rate of 720 gallons per hour can be seen as -720 / 1, which gives you the -720 slope.

The y-intercept in an equation represents the initial value. Since 2,000 gallons has already been pumped out, the initial value is 8,000.

The constant rate at which the water decreases results in a straight line

function between the volume of water in the tank and time of pumping.

The slope is -720 (gal/hour)

The y-intercept is 8,000 (gallons)

Reasons:

The volume of the swimming pool = 10000 gallon

Volume of water already pumped out = 2,000 gallons

Rate at which the water is being pumped out = 720 gallons per hour

Required:

The slope and y-intercept of the function

Solution:

Volume of water in the tank = (10,000 - 20,000) gallons = 8,000 gallons

Volume of water decreasing from the tank after t hours = 720·t

Therefore;

Volume of water in the tank after t hours, is V(t) = 8000 - 720·t

Comparing the above function with the equation of a straight line, in slope

and intercept form, y = m·x + c, we have;

V(t) = -720·t + 8000

Learn more here:

https://brainly.com/question/13881458

Answer:

56 music files

Step-by-step explanation:

From the above question:

Let the number of music files

Arely has = x

Valerie has = y

Arely has 4 fewer than twice as many music files as Valerie.

x = 2y - 4

They have a combined number of 86 music files.

x + y = 86

We substitute 2y - 4 for x in the above equation

2y - 4 + y = 86

3y - 4 = 86

3y = 86 + 4

3y = 90

Divide both sides by 3

3y/3 = 90/3

y = 30

Hence, Valerie has 30 music files.

The number of music files that Arely has is calculated as:

x = 2y - 4

x = 2(30) - 4

x = 60 - 4

x = 56

Arely has 56 music files

Given :

The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons.

To Find :

The difference in the fuel tank of the two car.

Solution :

Capacity of sedan, S = 22.45 gallons.

Capacity of compact car, C = 8.70 gallons.

Difference in the capacity :

D = S - C

D = 22.45 - 8.70 gallons

D = 13.75 gallons

Therefore, difference in the fuel tank of the two car is 13.75 gallons.

Hence, this is the required solution.

Answer:

7/8 miles

Step-by-step explanation:

1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8

Answer:

(2.4)(10)−4

=20

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let b represent the speed of runner B. then the ratio of speeds is ...

  b/(b+5) = 8/18

  18b = 8(b +5) . . . . cross multiply

  10b = 40 . . . . . . . . subtract 8b

  b = 4 . . . . . . . . . . . divide by 10

Runner B's speed is 4 mph; runner A's speed is 5 mph more.

Runner A is running at 9 mph; Runner B is running at 4 mph.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

2880 if u multiply

Step-by-step explanation:

make me the brainlest

plz

i need 3 more

crown me

Answer:

isosceles

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square

Answer:

the answer is [tex]y=-x+5[/tex]

Step-by-step explanation:

I hope this helps! :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

Everything except second and third one

Answer:-3 and -7 equals 10

Step-by-step explanation: two negatives equal a positive and vice versa. Combining those 2 gives you the highest answer

Answer:

(1) The slope of the line segment AB is 1.[tex]\bar 3[/tex]

(2) The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is (5, 7)

(4) The slope of a line perpendicular to the line AB is-0.75

Step-by-step explanation:

The coordinates of the line segment AB are;

A(2, 3) and B(8, 11)

(1) The slope of a line segment is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) and (x₂, y₂) are two points on the line segment

Therefore;

The slope, m, of the line segment AB is given as follows;

A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)

[tex]Slope, \, m_{AB} =\dfrac{11-3}{8-2} = \dfrac{8}{6} = 1 \frac{1}{3} = 1.\bar3[/tex]

The slope of the line segment AB = 1.[tex]\bar 3[/tex]

(2) The length, l, of the line segment AB is given by the following equation;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

[tex]l_{AB} = \sqrt{\left (11-3 \right )^{2}+\left (8-2 \right )^{2}} = \sqrt{64 +36} = 10[/tex]

The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is given as follows;

[tex]Midpoint, M = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )[/tex]

Therefore;

[tex]Midpoint, M_{AB} = \left (\dfrac{2 + 8}{2} , \ \dfrac{3 + 11}{2} \right ) = (5, \ 7)[/tex]

The coordinates of the midpoint of AB is (5, 7)

(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;

[tex]m_1 = -\dfrac{1}{m_2}[/tex]

Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1.[tex]\bar 3[/tex] is given as follows;

[tex]m_1 = -\left (\dfrac{1}{\frac{4}{3} } \right ) = -\dfrac{3}{4} = -0.75[/tex]

The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.

Answer:

X=135

Step-by-step explanation:

180-69-66=45

And the angle of a line is also 180 and 180-45=135

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

Answer:

126 feets

Step-by-step explanation:

Given that :

Equation of line repressing nature trail :

y = 13x - 4

Distance of gazebo from nature trail :

Each unit in coordinate plane = 10 feets

Hence,

y = 13(10) - 4

y = 130 - 4

y = 126 feets

Answer: 44000

Step-by-step explanation:

From the question, we are informed that the population of Queens increased by 16,075.

Brooklyn's population increased by 11,870 more than the population increase of Queens. This means that Brooklyn's population will be:

= 16075 + 11870

= 27945

The total combined population increase of Queens and Brooklyn from 2010 to 2011 will then be:

= 16075 + 27945

Estimating 16075 gives 16000

Estimating 27945 gives 28000

Adding then together equals

16000 + 28000 = 44000

Answer:

It is 4x + 4y.

Step-by-step explanation:

All you have to do is add all of the y's toghther and then add all of the x's toghther.

Answer:

4x+4y

Step-by-step explanation:

Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.

Answer:

c = 4

Step-by-step explanation:

p(x) is divisible by (x - 3).

So, p(3) = 0

-(3)³ + c(3)² - 4 *3 + 3 = 0

-27 + 9c - 12 + 3 = 0

         9c - 36     = 0

                9c     = 36

                     c = 36/9

c = 4

Answer:

The last one I did the math

Answer:

D

Step-by-step explanation:

bc it is just put it

The answer is 100 degree

Answer:

Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.

Answer:

149 degrees

Step-by-step explanation:

Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.

[tex]8x-1=7x+3[/tex]

First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides

[tex]8x-1-7x=7x+3-7x[/tex], then simplify

[tex]x-1=3[/tex]

Next, add 1 to both sides to isolate the variable

[tex]x-1+1=3+1[/tex], then simplify

[tex]x=4[/tex]

Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation

[tex]8(4)-1=31[/tex]

Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. [tex]180=31+x[/tex], then subtract 31 from both sides [tex]180-31=31+x-31[/tex] and simplify, [tex]149=x[/tex]. So angle 3 is equal to 149.

Answer:

The answer to da question is 3

Answer:

[tex]y=6x-10[/tex]

Step-by-step explanation:

First, we can find the slope using the two given points.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]

Then, we can use the slope we just found and one of the given points to find the y-intercept.

[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]

And we can put our equation together.

[tex]y=6x-10[/tex]

Hope this helps!

Answer:

3m/s

Step-by-step explanation: