BD = 5, CX = 3, CD = 5

what does BC equal

If each has the same probability of performance. If the system is to have a .92 probability of performing, The minimum probability of performing needed by each of the individual components is: 0.97126.

Given data:

Number of identical component = 3

Probability of performing = .92

Now let determine the probability

Probability =  0.92 ^(1/3)

Probability = 0.92^0.3333

Probability =.9726

Therefore the probability is .9726.

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The equation of the parallel line t is y = -4x  - 9

The equation of line s given as

y = -4x - 5/3

Also, from the question

The point on line t is given as

Point = (-3, 3)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = -4

This means that the slope of y = -4x - 5/3 is -4

The slopes of parallel lines are equal

This means that the slope of the line t is -4

The equation of the parallel line is then calculated as

y = m(x - x₁) +y₁

Where

m = -4

(x₁, y₁) = (-3, 3)

Substitute the known values in the above equation

y = -4(x + 3) + 3

Evaluate

y = -4x - 12 + 3

Evaluate the sum

y = -4x  - 9

Hence, the parallel line has an equation of y = -4x  - 9

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Answer:

7 * 5 =35 because if you say 5 10 15 20 25 30 35 then that's your answer

Answer:

a) 7:13  b) 5:13

Step-by-step explanation:

There are 7 new books (-> 7:--) theres 5 used books, add the 7 new books and 5 used books together. it said "The ratio for new books to all books?" it must be in that order. with leads you to 7:13

do the same thing for b) using the same steps.

The value of x will be 9.8 m.

The value of y will be 11.2 m.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The two triangles are similar.

Now,

Since, The two triangles are similar.

So, We get the sides are proportional to each other.

Hence, We can formulate;

⇒ 4/5.6 = 7/x

Solve for x as;

⇒ x = 7 × 5.6 / 4

⇒ x = 9.8 m

And, 4/5.6 = 8/y

Solve for y;

⇒ y = 8 × 5.6 / 4

⇒ y = 11.2 m

Thus, The value of x will be 9.8 m.

The value of y will be 11.2 m.

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Answer:

a and c

Step-by-step explanation:

if you evaluate each one on either side of the equal sign you get the same number on both sides

The calculation of the ratios, resulting from the square feet occupied by both departments, and the amounts of overhead allocated to the two departments are as follows:

                            Ratio      Amount

Department A       1/5        $10,000

Department B      4/5       $40,000

The ratio is the numerical relationship shared by two or more values.

Ratios are fractional values and are depicted using fractions, decimals, and percentages.

Ratios, like proportions, show how much a value or variable is contained in another.

Total overhead = $50,000

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            20,000         A = 1      B = $10,000 ($50,000 x 1/5)

Dept. B            80,000         C = 4     D = $40,000 ($50,000 x 4/5)

Ratios = 20,000:80,000

= 1:4

Sum of Ratios = 5

Thus, based on the cost driver allocation ratios, Department A will bear $10,000, while Department B will be allocated $40,000.

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Answer:

80

Step-by-step explanation:

x/ -4 = -20

I hope this helps!

The values of the variables x and y are 2 and -7.

We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation is y = -2x + 5. We are given two sets of ordered pairs. The ordered pairs are (6, y) and (x, 1). These points satisfy the given equation. We need to find the values of the variables x and y. We will substitute the coordinates into the equation.

y = -2x + 5

First, we will put (6, y).

y = -2(6) + 5 = -12 + 5 = -7

Now, we will put (x, 1).

1 = -2x + 5

2x = 4

x = 2

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Abigail Henderson's budget of $1,360 and the $1.30 and $1.60 trading price of the currency of country A and country B gives;

The number of each currency Abigail plans to buy are;

A budget provides an estimation of a person, business, or country's income and expenditure over a specified period or duration.

The amount Abigail Henderson budgeted = $1,360

The per currency exchange rate for country A = $1.30

The per currency exchange rate for country B = $1.60

The number of currency A Abigail wants = 4 × The number of currency B

Which gives; x = 4·y

The equation that represents Abigail's total cost of buying currencies is presented as follows;

1.3·x + 1.6·y = 1,360

Plugging in the value of x gives;

1.3 × (4·y) + 1.6·y = 1,360

6.8·y = 1,360

y = 1,360 ÷ 6.8 = 200

The number of currency of country B, Abigail purchases, y = 200

The number of currency of country A Abigail plans to buy, x = 4 × 200 = 800

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The Probability of P(B│A) is 0.77

Independent events are those events whose occurrence is independent on any other event. For example, if we flip a coin in the air and get the outcome as tail, then again if we flip the coin but this time we get the outcome as Head, In both cases, the occurrence of both events is independent of each other. It is a type of events in probability.

If A is the event that even number will appear when a die is rolled and B is when 4 or 6 appears

P(A)= 3/6 = 1/2 and P(B) = 2/6 = 1/3

Also A and B is the event ‘the number appearing is even and a multiple of 4 or 6 so that

P(A ∩ B) = 1/6

P(B│A) = P(A ∩ B)/ P(A)

= 1/6 /1/2= 1/3 = P(B)

Therefore P(B│A) = P(B)

if A= 0.15 and P(B)= 0.77

P(B│A) = 0.77

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Answer: 13.9

Step-by-step explanation:

17.140 rounded to the nearest tenth is 17.1

03.179 rounded to the nearest tenth is 3.2

17.1 - 3.2 = 13.9

1/2 is the probability of getting at least one answer correct

Given that: the exam has 4 multiple choice with 5 possible answers. This means there are 20 possible choices ( 5×4 = 20).

That means each problem has a probability of 1/20 correct answer. The probability of getting at least one answer means you either get one, two, three or four correct answers. Thus:

P (at least one correct) = P(1) + P(2) + P(3) + P(4)

                                      = 1/20 + 2/20 + 3/20 + 4/20

                                      = (1+2+3+4)/20

                                     = 10/20

                                     =   1/2

Therefore, the probability of getting at least one answer correct is 1/2

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The probability of getting at least one answer correct is equal to 7

That I guess at least one answer correctly means that I could get all four answers correct or three answers correct or two answers correct or only one answer correct. The probability of getting any one answer is 1/4 and probability of not getting an answer is 1 - 1/4=3/4. Or implies addition.

probability of getting all four answers correct = 1/4 +1/4 + 1/4 + 1/4 = 4/4 = 1

probability of getting three answers correct = 1/4 +1/4 + 1/4 + 3/4 = 6/4 = 3/2

probability of getting two answers correct = 1/4 +1/4 + 3/4 + 3/4 = 8/4 = 2

probability of getting all four answers correct = 1/4 +3/4 + 3/4 + 3/4 = 10/4 = 5/2

The probability of getting at least one answer correct = 1 + 3/2 + 2 + 5/2

The probability of getting at least one answer correct = (2 + 3 + 4 + 5)/2

The probability of getting at least one answer correct = 14/2

Thefore, the probability of getting at least one answer correctly is the whole number 7

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3

x

2

−

3

x

−

60

=

0

Explanation:

A quadratic equation whose roots are

α

and

β

and leading coefficient is

a

is

a

(

x

−

α

)

(

x

−

β

)

=

0

Hence, the quadratic equation whose roots are

5

and

−

4

and leading coefficient is

3

is

3

(

x

−

5

)

(

x

−

(

−

4

)

)

=

0

or

3

(

x

−

5

)

(

x

+

4

)

=

0

or

3

(

x

2

−

5

x

+

4

x

−

20

)

=

0

or

3

(

x

2

−

x

−

20

)

=

0

or

3

x

2

−

3

x

−

60

=

0

Answer:

5x^2+5x-100=0

Step-by-step explanation:

5(x+5)(x-4)=0

(x+5)(x-4)= 0

x= -5

x= 4

After using conversion of measurements , the answer is

60 km = 37.28 miles and 600km = 372.83 miles.

What is conversion of measurements?

  By multiplying or dividing a number, a conversion factor can be used to change one set of units to another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. The correct conversion factor, for instance, is 12 inches to 1 foot when converting between inches and feet. We must convert between different units in order to have accuracy and prevent measurement confusion.

Here the given we need to convert them km into miles.

To convert km to miles we need to divide the value by 1.609 .

=> 60 km

=> 60/1.609

=> 37.28 miles.

Now ,

=> 600 km

=> 600/1.609

=> 372.83 miles.

Therefore after conversion of measurement answer is

60 km = 37.28 miles and 600km = 372.83 miles.

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The correct interpretation is Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Q(x) = 8.25x − 24.75, where x is the number of bracelets he sells.

So, for x= 3 them Q(3)

Q(3)= 8.25 (3) - 24.75

Q(3) = 24.75 - 24.75

Q(3) = 0

Hence, Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

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The ratio of F# to B to two decimal places is 1.50:1.

A ratio is simply used to compare two things or numbers.

In this case, the note F# has a frequency of 1,480 hertz and the note B has a frequency of 988 hertz.

The ratio of F to B will be:

= 1480 / 988

= 1.50

The ratio is 1.50:1.

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Answer:

3/2

Step-by-step explanation:

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

Perimeter: 20 mi

Area: 22.44 mi^2

Step-by-step explanation:

perimeter formula for a rectangle is 2 times length plus 2 times width

2(3.4)+2(6.6)

6.8+13.2

20 is the perimeter

Now for the are we multiplying the length and width to find area

3.4x6.6

22.44 is the area

Hopes this helps please mark brainliest

All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .

In the question ,

it is given that the expression is

(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)

By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )

we get ,

[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30

(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30

using the identity (a-b)² [tex]=[/tex] a² -ab + b²

(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30

9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30

270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)

taking (x-1) terms to LHS ,
we get

(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0

(240) (x - 1) [ 73x² + 46x + 73 ]  =  0     ....because 270-30 = 240

Dividing both sides by 240

we get ,

(x - 1) [73x² + 46x + 73] = 0

So , either x - 1 = 0    or      73x² + 46x + 73 = 0

on solving 73x² + 46x + 73 = 0

we get the discriminant of 73x² + 46x + 73  a negative number , so it cannot have real root .

hence x -1 = 0

x = 1

Therefore , the only real solution is x = 1 .

The given question is incomplete , the complete question is

Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)   ?

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Answer:

x = -5

y = -2

Step-by-step explanation:

-3x + 4y = 7 ⇒ ( 1 )

7x - 12y = -11 ⇒  ( 2 )

Multiply the equation ( 1 ) by 3.

( 1 ) × 3

3( -3x + 4y = 7 )

-9x + 12y = 21  ⇒ ( 3 )

Let us find the value of x.

Add equations ( 2 ) & ( 3 ).

( 2 ) + ( 3 )

7x - 12y - 9x + 12y = - 11 + 21

Combine like terms.

-2x = 10

Divide both sides by -2.

x = -5

Let us find the value of y.

For that, let us use equation ( 1 ) and replace x with -5 and make y the subject.

- 3x + 4y = 7

-3 × -5 + 4y = 7

15 + 4y = 7

Subtract 15 from both sides.

4y = 7 - 15

4y = -8

Divide both sides by 4.

y  = -2

Answer: y=5 is the asymptote answer

Answer:

Thank you,Hope you like it and it will help you

If an American is selected at random, the probability that he or she will disapprove or have no opinion on the issue is 33%.

Given data:

Approved human embryonic stem cell research = 67% or 0.67

Now let find the probability that the human embryonic stem cell research will be disapprove using this formula

P(disapprove or no opinion) = 1 - Approved

Let plug in the formula

P(disapprove or no opinion)  = 1 - 0.67

P(disapprove or no opinion) = 0.33 or 33%

Therefore 33% is the probability of disapprove or no opinion.

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Answer:

24/8 = 3/1

40/20 = 20/1

Step-by-step explanation:



I hope this helps!

(5-√5)² in the form a + b√5 can be written as 30 - 10√5 where, the integers a and b are 30 and -10 respectively.

What is integer?

Positive, negative, and zero are all examples of integers. The Latin word "integer" means to "whole" or "intact." Therefore, fractions and decimals are not included in integers. In this essay, we will learn more about integers, their definition, and their characteristics.

We know that,

[tex](a-b)^2= a^2 + b^2 - 2ab[/tex]

Using this mathematical identity, putting the values from question,

(5-√5)² = 5² + √5² - 2(5)(√5)

(5-√5)² = 25 + 5 - 10√5

(5-√5)² = 30 - 10√5

This is in the form a + b√5 where, the integers a and b are 30 and -10 respectively.

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The speed of the car is 40mph

A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Distance covered by car = 160 miles

distance covered by plane = 840 miles

let the time taken to cover 160 miles by car be x

speed of car = 160/x

speed of plane which is 170mph faster than speed of car = 170 + 160/x

time taken to cover 840 miles by plane,

time = distance/speed = [tex]\frac{840}{170 + \frac{160}{x} }[/tex]

By simplifying,

time taken by plane = [tex]\frac{840x}{170x + 160}[/tex]

since it takes same time for both to get to their destination,

Then,

x =  [tex]\frac{840x}{170x + 160}[/tex]

By cross multiplying

x( 170x + 160) = 840x

divide both sides by x, it reduces to

170x + 160 = 840

170x = 840 - 160

170x = 680

x = 680/170

x = 4

Speed of car = 160/x

speed of car = 160/4

speed = 40mph

In conclusion, the care moves at the speed of 40mph

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Answer:

D. 3 3/7 ft²​

Step-by-step explanation:

A = LW

A = 4 ft × 6/7 ft²

A = 24/7 ft²

A = 3 3/7 ft²