(x2 – 2x – 2)(3x2 - 4x +4)

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Answer:

B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.

Option B is right.

What are corresponding angles?

Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.

Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.

This equal to the given corresponding angle , which is also 120°.

We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.

Hence, Option B is correct.

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Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

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Answer:

x =  1/ 10 y +  −3 /10

Step-by-step explanation:

Let's solve for x.

y = 10x + 3

Step 1: Flip the equation.

10x + 3 = y

Step 2: Add -3 to both sides.

10x + 3 + −3 = y + −3

10x = y −3

Step 3: Divide both sides by 10.

10/10x  =  y −3/ 10

x =  1 /10 y +  −3 /10

Therefore the answer is

x =  1/ 10 y +  −3 /10

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1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.

2. Convert all dimensions to feet:

1 yard = 3 feet

18 inches = 1.5 feet.

Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.

Multiply gallons per cubic foot by cubic feet of tank:

7.5 x 4.5 = 33.75 gallons.

Answer:

a). x = 6

b). Length of KI = 20 units

Step-by-step explanation:

From the picture attached,

a). Length of KI = length of KJ + length of JI

    By substituting lengths of the segments given in the picture,

    (2x + 8) = 8 + (x + 6)

    2x + 8 = x + 14

    2x - x = 14 - 8

    x = 6

b). Length of KI = (2x + 8)

   By substituting x = 6 in the expression,

   Length of KI = 2(6) + 8

                        = 12 + 8

                        = 20 units

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Answer:

it cost $9.2972048

Step-by-step explanation:

Answer:

Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.

Answer:

w=6(6.6667-g)

Step-by-step explanation:

g=1/6w+6.6667

-1/6w=6.6667-g

-w=6(6.6667-g)

w=6(6.6667-g)

Answer:

there is no solution for this equation, Hope this helps! x <3

Step-by-step explanation:

v/84=2/21

We move all terms to the left:

v/84-(2/21)=0

We add all the numbers together, and all the variables

v/84-(+2/21)=0

We get rid of parentheses

v/84-2/21=0

We calculate fractions

There is no solution for this equation

Answer:

15 rooms.

Step-by-step explanation:

32x=500

x=15.625

Rounding down (since you can't get a fraction of a room), you get 15 rooms.

Answer:

56.6%

Step-by-step explanation:

To calculate percent decrease, you first subtract the original number with the final number.

2.26 - 0.98 = 1.28

Then, you divide your answer by the original number.

1.28/2.26 = 0.56637168141

Finally, you multiply your answer by 100 and round as necessary.

0.56637168141 x 100 = 56.637168141

Answer:

Step-by-step explanation:

7, 1

Answer:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.

Step-by-step explanation:

Answer:

B. Daily

Step-by-step explanation:

It makes more sense to put "daily" because of "the same day."

Daily means doing something everyday.

You should not schedule daily tasks for the same day.

Answer:

I just took the test.

It is weekly.

Answer: C

Step-by-step explanation:

A slide is when you slide it over and a flip is when you flip it around

the answer is C because it said slide than flip across

Answer:

y = (-1/4)x + 1 so that the y-intercept is 1

Step-by-step explanation:

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Answer:

Two integers whose product is -28 and sum is 12 are 14 and -2.

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

Answer:

The number of hours that the milk will stay fresh is 86.2 hours

Step-by-step explanation:

Given the following function;

[tex]H(T) = 180*10^{(-0.04T)}[/tex]

where;

T, is the  temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.

Answer:

Start at 5 and then move left 2

Step-by-step explanation:

Given:

Length of a piece of wood with Gracie = 5 feets

Length of a piece of wood used on the first project = 2 feets

To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project

Solution:

The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is

Start at 5 and then move left 2

In this way [tex]5-2=3[/tex]

That is Gracie has now 3 feets of wood available that can be used for her second project.

Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2

Using the concept of a number line :

Therefore, the correct statement is Start at 5 and then move left 2

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Answer:

1/6

Step-by-step explanation:

In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2

1/3 * 2/2 = 1*2/3*2 = 2/6

Then you can straightforwardly subtract

2/6 - 1/6 = 1/6

Answer:

840mm

Step-by-step explanation:

There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm

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