An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 44% probability of winning the first contract. If they win the first contract, the probability of winning the second is 66%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 54%.

A. What is the probability that they win both contracts?

B. What is the probability that they lose both contracts?

C. What is the probability that they win only one contract?

Answer:

Area (A) = 42m²

Step-by-step explanation:

A = b·h = 6·7 = 42m²

Answer:

Step-by-step explanation:

it would be 42,32 i know

The area of a triangle bounded by the region will be 11.95 sq. units.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that,

y = f(x) = 7- (4/5)x

Slope,m = -4/5

The slope of the perpendicular lines is,

[tex]\rm m_p = \frac{-1}{\dfrac{-4}{5}} \\\\ m_ p = \dfrc{5}{4}[/tex]

The equation of the perpendicular line passing through the origin is

[tex]\rm y = \frac{5}{4} x[/tex]

The equation can be written as,

[tex]\rm \frac{5}{4} x = 7 - \frac{4}{5} x \\\\ 25 x = 140 - 16 x \\\\ 41x = 140 \\\\ x = \dfrac{140}{41} \\\\ y = \frac{175}{41}[/tex]

As a result, the y-intercept of the line is,

[tex]\rm y =7- \dfrac{4}{5}x \\\\ y= 7[/tex]

The triangle is bounded by the points (0,0), (0,7), and (140/41, 175/41)

The area of the triangle is,

[tex]\rm A= \frac{1}{2} \times 7 \times \dfrac{140}{141} \\\\ A = 11.95 \ sq. unit[/tex]

Thus, the area of a triangle bounded by the region will be 11.95 sq. unit.

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The equation 8(x+2) can be expressed using the distributive property as 8x + 16.

The distributive property can be described as the as the multiplication system of solving a particular expressions easily through the process of distributing another number  within the given  brackets.

The expression that was given as  8(x+2) , if it so be solved using the distributive property the we will have 8x + 16 because this result means that it has been shared in to part,  because the multiplication operation has been performed on the given expression.

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Answer: 950

Step-by-step explanation:

$477.50 - $240.00 = 237.50

$237.50 / $0.25 = 950

f(g(x)) for the given equation f(x)=8x+1 and g(x)=4x-2 is 32x-15 using substitution method of solving the equation.

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. It is a formula that expresses the connection between two expressions on each side of a sign.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

given,

f(x)=8x+1

g(x)=4x-2

f(g(x))=8(4x-2)+1

=32x-16+1

f(g(x))=32x-15

Hence, this is required f(g(x)) for the given two equations.

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The most appropriate choice for slope of a line will be given by-

Slope of the line = [tex]\frac{-19}{12}[/tex]

What is slope of a line?

At first it is important to know about line.

Line is a geometrical object that has only length but no breadth and no height.

Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis

If [tex]\theta\\[/tex]  is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

m = [tex]tan\theta[/tex]

If the line passes through ([tex]x_1,y_1[/tex]) and ([tex]x_2, y_2[/tex]) , then

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]x_1 = -3, y_1 = 9. x_2 = 9, y_2 = -10[/tex]

Slope = [tex]\frac{-10 - 9}{9 - (-3))}[/tex]

         = [tex]\frac{-19}{12}[/tex]

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The percent change formula is:

In this case, the percent change is:

If a rectangular tabletop has an area of [tex]28\frac{1}{8}[/tex] square feet and the length of [tex]6\frac{1}{4}[/tex] feet, then the width of the tabletop is  [tex]4\frac{1}{2}[/tex] feet

The area of the tabletop =  [tex]28\frac{1}{8}[/tex] square feet

Convert the mixed fraction to simple fraction

[tex]28\frac{1}{8}[/tex] square feet = 225/8 square feet

The length of the tabletop =  [tex]6\frac{1}{4}[/tex] feet

Convert the mixed fraction to simple fraction

[tex]6\frac{1}{4}[/tex] feet = 25/4 feet

Area of the rectangle = Length ×  width

Width of the rectangle = Area of the rectangle ÷ Length of the rectangle

Substitute the values in the equation

Width of the rectangle = 225/8 ÷ 25/4

= 225/8 × 4/25

= 9/2 feet

Convert the simple fraction to mixed fraction

9/2 feet = [tex]4\frac{1}{2}[/tex] feet

Hence, if a rectangular tabletop has an area of [tex]28\frac{1}{8}[/tex] square feet and the length of [tex]6\frac{1}{4}[/tex] feet, then the width of the tabletop is  [tex]4\frac{1}{2}[/tex] feet

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Answer: undefined, DNE

Step-by-step explanation:

This is a vertical line, so there is an undefined slope and no y-intercept.

Answer:

-2/3

Step-by-step explanation:

I graphed it

Answer:

The best estimate for the correlation coefficient is .85.

The area of the parallelogram is 240 feet.

A parallelogram's area is the area that it occupies in a two-dimensional plane. A parallelogram is a four-sided, two-dimensional form in geometry. This particular quadrilateral example has equal and parallel opposite sides. The space bounded by a parallelogram's four sides is known as its area. A parallelogram's area is determined by multiplying its length by its height. 

A quadrilateral's interior angles add up to 360 degrees.

The area of a parallelogram can thus be written as :

Area = Base × Height

In this diagram it is given that the Base = 20 feet and the height = 12 feet

Thus the area can be obtained by simply multiplying these two dimensions

So area = 20 × 12 = 240 feet .

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Answer:

Step-by-step explanation:

13) 8 - 6 + 4 = 2 + 4 = 6

14) 16÷(4-2)-3 = 16÷2 - 3 = 8 - 3 = 5

15) 3x + 5 = 17

3x = 17 - 5

3x = 12

x = 4 ≠ 2

b. solution is incorrect

16)4y - 7 = 3y - 4

4y - 3y = -4 + 7

y = 3

a. solution is correct

17) 2m - 3 < 4

2m < 4 + 3

2m < 7

m < 3.5

2 < 2.5, so a. number is a solution

18 ) 5 + 2n ≥ 12

2n ≥ 12 - 5

2n ≥ 7

n ≥ 3.5

0 is not greater than equal to 3.5, so b. number is not a solution

To rotate the figure 90 degrees clockwise about a point, every point (x, y) will rotate to (y, -x):

The vertices of the triangle have the following coordinates:

Applying the transformation rule, we have the new coordinates to be:

The transformed image is shown below (the black triangle):

Answer:

75%

Step-by-step explanation:

If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.

The ratio of red:total is 3:4

3/4 is .75, times by 100 to convert to a percent.

.75 × 100 is 75%

Answer: A and C

Sample Answer: Multiplication is a short way to write repeated addition. So 200 •12 means the same as 200 + 200 + . . . + 200.

Answer:

b

Step-by-step explanation:

Answer:

48[tex]units^{2}[/tex]

Step-by-step explanation:

The property that completes the proof is the transitive property

From the question, we have the following parameters

The point C is the midpoint of AE

BC = CD

The above implies that

AC = CE

And it also means that:

The line segment BC and the line segment CD have equal lengths

According to the transitive property of equation, we have:

If A = B and B = C, then A = C

This can also be represented as

If A + B = C + D and C + D = E + F, then A  + B = E + F

Using the above as a guide, we have (in step 3)

AB + BC = AC

CD + DE = CE

This implies that

AB + BC = CD + DE

Hence, the statement that represents the reason 4 in the proof is (b) transitive property

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Answer:

-5

Step-by-step explanation:

Answer: -5

Step-by-step explanation: -35 divided by 7 is -5

Answer:

42

Step-by-step explanation:

76-34

The correct answer is option d, output = 6 - input using coordinate geometry.

In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

From the graph, we can see that the coordinates have the values

For x = 1, y = 5

For x = 2, y = 4

For x = 3, y = 3

For x = 4, y = 2

Hence, we can conclude that the output (y) = 6 - input (x)

The correct option is (d) output = 6 - input.

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Finance charge = $93.00

The interest you'll pay on a loan is defined as a finance charge, and it's most commonly used in the context of credit card debt. A financing fee is computed by taking your annual percentage rate, or APR, the amount you owe, and the time period into account.

Given that,

Interest rate = 15.5%

Date: 1-3 (3 days)

Average daily balance = amount paid × days

                                      = $200 × 3 = $600  

Date: 4-20 (17 days)

Average daily balance = amount paid × days

                                      = $300 × 17 = $5100  

Date: 21-30 (10 days)

Average daily balance = amount paid × days

                                      = $150 × 10 = $1500  

So, total average daily balance for the month

= $(600+5100+1500)

= $7200

Now, the finance charge = $7200 × (15.5÷12)

                                         = $93.00

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Answer:b=6

Step-by-step explanation:

Answer:

-8x + 16y -15q - 30p

Step-by-step explanation:

your just expanding brackets here

Answer: -8x - 16y - 15q - 30p Is the correct answer

I hope this helps!

Answer:

C , D

Step-by-step explanation:

The component form of a vector is given as < x, y >, where x describes how far right or left a vector is going and y describes how far up or down a vector is going.

The component form of vector C is <1, 5> and the component form of vector D is <8, 2>. The components represent the magnitudes of the vector's displacements in the x and y directions, respectively.

To write the component form of a vector, we simply list its components, which are the numerical values that represent the vector's magnitude and direction in each dimension. In this case, we have vector C with components C<1, 5> and vector D with components D<8, 2>.

The components of a vector represent its position or displacement along the coordinate axes. In a two-dimensional Cartesian coordinate system, the first component represents the displacement along the x-axis (horizontal direction), and the second component represents the displacement along the y-axis (vertical direction).

For vector C, the component form is written as <1, 5>, where the first component is 1 and the second component is 5. This means that vector C has a displacement of 1 unit in the x-direction and 5 units in the y-direction.

Similarly, for vector D, the component form is <8, 2>, indicating a displacement of 8 units in the x-direction and 2 units in the y-direction.

Therefore, the component form of vector C is <1, 5> and the component form of vector D is <8, 2>. The components represent the magnitudes of the vector's displacements in the x and y directions, respectively.

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Okay, here we have this:

Considering the provided rectangular pyramid, we are going to calculate the requested volume, so we obtain the following:

Then, we are going to use the following formula to find the volume of this rectangular pyramid:

V=(abH)/3

Replacing:

V=(abH)/3

V=(5cm*6cm*7cm)/3

V=(210cm^3)/3

V=70 cm^3

Finally we obtain that the volume of the rectangular prism is 70 cm^3.

The volume of a rectangular prism is given by the formula:

Given the length is 7 cm

Width is 3 cm

Height is 3 cm

Substituting into formula, we find the volume: