Given A(-3, 8), find the coordinates of the point B such that C(5, -8) is the midpoint of segment AB.

Answer:

a)  P(X>=1) = 0,7293        or   P(X>=1) =  72,93 %

b)  P(X>=3) = 0,5686     or     P(X>=3) = 56,86 %

c)  y =  0,8494 mm³

d) λ = 1,69897 inc per mm³

Step-by-step explanation:

a) P(X>=1) = 1 - P(X=0)

P(X = 0) = λ⁰ * e∧⁻λ / 0!          where λ  = 2 in/mm³

P(X = 0) = e∧-2    ⇒    P(X = 0) = 0,2706

Then

P(X>=1) = 1 - 0,2706

P(X>=1) = 0,7293        or   P(X>=1) =  72,93 %

b) 3 inc. in 4 mm³ = 2*4/3     λ = 2,67 inc. per mm³

P(X>=3)  =  1 - P(X=1 ) - P(X=2)

P(X=1) = λ¹ * e∧-λ / 1!    ⇒  P(X=1) = 2,67 *e∧- 2,67/1

P(X=1) = 0,1846

P(X=2) = λ² * e∧-λ / 2!   ⇒   P(X=2) = (2,67)² * e ∧ - 2,67/2

P(X=2) = 7,1289* 0,06925/2     ⇒  P(X=2) = 0,2468

Then

P(X>=3)  =  1 -  0,1846 - 0,2468

P(X>=3) = 0,5686     or     P(X>=3) = 56,86 %

c) P(X>=1) = 0,98

and λ = 2*y     where y is the quantity of material

P(X=0) = 1 -  P(X>=1)

P(X=0) = 1 - 0,98    P(X=0) = 0,02

0,02 = (2*y)⁰  * e ∧ -2*y /0!

0,02 = 1 *  e ∧ -2*y

Taking log on both sides of the equation

log (0,02) = -2*y        - 1,69897 = - 2*y

y =  0,8494 mm³

d) P(X  >=1 ) = 1 - P( X = 0)

0,98 = 1 - P( X = 0)

P( X = 0) = 0,02

0,02 = λ⁰ * e ∧ - λ / 0!

0,02 = e ∧ -λ

Taking log on both sides of the equation we get:

log ( 0,02 ) = - λ

- 1,69897  =  - λ

λ = 1,69897  inc. per mm³

Step-by-step explanation:

Hey there!

Let the unknown slope be M2.

The given equation is;

15x + 12y = -144

From equation;

[tex]slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m = \frac{ - 15}{12} [/tex]

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

For the condition of perpendicular lines;

[tex]m \times m2 = - 1[/tex]

[tex] \frac{ - 5}{4} \times m2 = - 1[/tex]

[tex] - 5m2 = - 4[/tex]

[tex]m2 = \frac{ - 4}{ - 5} [/tex]

Therefore, the slope is 4/5.

Hope it helps....

Answer:

4 hours

Step-by-step explanation:

235-75 one time fee, so subtract = 160

160/40 = 4

Answer:

4 Hours

40x - 75 = 235

         -75    -75

40x  = 160

40x/40 = 160/40

x = 4

Answer:

See below.

Step-by-step explanation:

  Statements:                                  Reasons:

1) ∠1≅∠4                                        :Given

2) The two lines are parallel       :Alternate Exterior Angles Converse

3) ∠3≅∠2                                      :Alternate Interior Angles Are Congruent

Answer:

given: 1=4      prove: 3=2

statement         reasons

1=4                    given

1=2                    vertical angles

3=4                   congruent angles

therefore:       3=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

to get the GCF of 24 and 12

you have to factor each value, then choose all the copies of

factor and times or multiply them.

so,

  24 = 2 2 2 3

   12 =  2 2    3

GCF =  2  2    3

therefore, the GCF is 2 x 2 x 3 = 12

hope it helps. good luck!

Answer:

945

Step-by-step explanation:

Answer:

1730 (2 times the whole expression) or 945 (2 times the addend of 80) [what is implied when 80+ 185-40+699-59 is not in parenthesis]

Step-by-step explanation:

2 times (80 + 185 - 40 + 699 - 59) →

2 (80 + 185 - 40 + 699 - 59)

2 ((((80 + 185) - 40) + 699) - 59)

2 ((265 - 40) + 699) - 59)

2 (225 + 699) - 59)

2 (924 - 59)

2 (865)

1730

_____________________

2 times 80 + 185 - 40 + 699 - 59 →

2(80) + 185 - 40 + 699 - 59

(((160 + 185) - 40) + 699) - 59

((345 - 40) + 699) - 59

(305 + 699) - 59

1004 - 59

945

Answer:

True.

Step-by-step explanation:

Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.

Answer:

85 messages

Step-by-step explanation:

The system of equations for this is

35 + .10x

18 + .3x

where x = the number of text messages

Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.

When you plug in 85, or x = 85, you get 43.5 for both equations because

35 + .10(85) = 43.5     18 + .3(85) = 43.5

Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!

:)

Answer: 1/1 or 1

Step-by-step explanation:

Answer:

No, because one x-value corresponds to two different y-values ⇒ D

Step-by-step explanation:

The relation of x and y can be a function if every x has only one value of y (x not repeated)

Examples:

Let us check the given table

∵ At x = 2, y = 1

∵ At x = 3, y = 4

∵ At x = 4, y = 4

∵ At x = 5, y = 2

∵ At x = 5, y = 5

∵ x = 5 has two values of y 2 and 5

→ That means x is repeated

∴ Not every x has only one value of y

∴ The table does not represent a function

∴ The right answer is D

the answer is line h

Answer:

h <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

opposite angles are equal

12x - 18 = 8x + 10

combine similar terms:

12x - 8x = 10 + 18

4x = 28

x = 28/4

x = 7

plugin the value of x=7 back into the equation to solve the angle

= 12x - 18

= 12(7) - 18

= 66

= 8x + 10

= 8(7) + 10

= 66

Answer:

(3,4)

Step-by-step explanation:

Given:

Spoilage rate of fruits = 9% = 0.09

To find:

Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.

Solution:

Let the required amount of fruits you should order be x.

So, spoiled fruits = 9% of x = 0.09x

He would like to have 100 pounds of peaches to sell.

[tex]x-0.09x=100[/tex]

[tex]0.91x=100[/tex]

Divide both sides by 0.91.

[tex]x=\dfrac{100}{0.91}[/tex]

[tex]x=109.89[/tex]

[tex]x\approx 110[/tex]

The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

Answer:

First even integer: 6

Step-by-step explanation:

Inequalities

Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.

The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:

[tex]x+x+2<3(x+4)-15[/tex]

Operating:

[tex]2x+2<3x+12-15[/tex]

Subtracting 2 and 2x:

[tex]0<3x+12-15-2x-2[/tex]

Simplifying:

[tex]0<x-5[/tex]

Solving:

x>5

There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):

First integer: 6

Second integer: 8

Third integer: 10

There are other solutions, like 20,22,24 but the first set is 6,8,10.

Answer:

y=8-3=5

Step-by-step explanation:

Answer:

Oh thank you! This means a lot i needed this :)

Step-by-step explanation:

Answer:

but there's no choices

Answer:

Since theres no options. The answer should look like this below:

<-------------------------------------------------------------------------------------------> x axis

Step-by-step explanation:

Answer:

$9.68

Step-by-step explanation:

The total cost before tax is $75.50 + $12.50 = $88

11% of $88 = 0.11 * $88 = $9.68

Answer: $9.68

Answer:

Step-by-step explanation:

$75.50 (bike) + $12.50 (helmet) = $88 (this is the amount shawn will pay before tax

next $88 (total before tax) multiplied by 0.11 (11% tax) to get $9.68 tax. that should be the answer

edit: answer was wrong before, im really sorry if you already submitted the answer and i got it wrong for you.

Answer:

1.504

Step-by-step explanation:

Answer:

1/2 times 2/3 equals 0.333333....

that plus 0.345 equals 0.678

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

1.8x = 9.4

x = 5.3

The value of x that makes the equation true is 5.3, the correct option is D.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equation is,

0.3x + 5. 14 = 2.1x - 4.4

The equation is made of two expressions,

The expression 1 is : 0.3x + 5. 14

The expression 2 is : 2.1x - 4.4

The value of x that makes the equation true has to be determined.

0.3x + 5. 14 = 2.1x - 4.4

Grouping the like terms on one side.

5.14 +4.4 = 2.1x -0.3x

Solving the variables and constants

9.54 = 1.8 x

Dividing 1.8 on both sides of the equation.

x = 9.54 /1.8

x = 5.3

The value of x at which the equation is true is 5.3.

To know more about Equation

https://brainly.com/question/10413253

#SPJ6

Answer:

(-0.5, -0.5)

Step-by-step explanation:

Let the coordinates of the point P in quadrant 3 are (x, y).

If a point A is 3 units apart, coordinates of point P will be [(x - 3), y].

From the figure attached,

Coordinates of the point A are (2.5, -0.5).

x coordinate of point P → (2.5 - 3) = -0.5

y coordinate of the point P → (-0.5) = -0.5

Therefore, point P which is 3 units apart from A will be (-0.5, -0.5)

Answer:

0.5,0.5

Step-by-step explanation:

Answer:

80 miles per hour

Step-by-step explanation:

320 miles /4 hours = 80 miles per hour

Answer:

Magnetism

Step-by-step explanation:

The melting point will actually get colder with the added ice

the mass will get more dense

the color will be a purpleish soothing color

Answer:

yes 61.5 is correct

Step-by-step explanation:

Answer: that's false

Step-by-step explanation:

degrees of freedom=(r-1)(c-1)

If I'm wrong I'm sorry