A) The probability that the Aerospace Company wins both contracts is 29.04%.
B) The probability that the Aerospace Company loses both contracts is 70.96%.
C) The probability that the Aerospace Company wins only one contract is 23.76%.
What is the probability?Probability describes the chance or likelihood of an expected event occurring out of many outcomes.
Probability is a ratio of an outcome versus many possible events.
Probability is represented as a percentage, fraction, or decimal, like a ratio.
How the probabilities are calculated:The probability of winning the first contract = 44%
The probability of losing the first contract = 56% (1 - 44%)
The probability of winning the first and the second contract = 66%
The probability of losing the first and the second contract = 34% (1 - 66%)
The probability of losing the first contract and winning the second = 54%
A) The probability that they win both contracts = the probability of winning the first contract multiplied by the probability of winning the second contract.
= 29.04% (44% x 66%)
B) The probability that they lose both contracts = 1 minus the probability of winning both contracts.
= 70.96% (1 - 29.04%)
C) The probability that they win only one contract = the probability of winning the first contract multiplied by the probability of winning only the second contract.
= 23.76% (44% x 54%)
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If the ratio of red objects to blue objects is 3 : 1, what precent of the objects are red?
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%
can someone help me on this
Answer:
The best estimate for the correlation coefficient is .85.
May I please get help with this. For I have tried multiple times but still could not get the correct answers for them or even plot it on the graph 90 degrees clockwise
To rotate the figure 90 degrees clockwise about a point, every point (x, y) will rotate to (y, -x):
[tex](x,y)\to(y,-x)[/tex]The vertices of the triangle have the following coordinates:
[tex]\begin{gathered} 1=(-5,-1) \\ 2=(-1,-2) \\ 3=(-3,-4) \end{gathered}[/tex]Applying the transformation rule, we have the new coordinates to be:
[tex]\begin{gathered} 1\to(-1,-(-5))=(-1,5) \\ 2\to(-2,-(-1))=(-2,1) \\ 3\to(-4,-(-3))=(-4,3) \end{gathered}[/tex]The transformed image is shown below (the black triangle):
The balance on a credit card, that charges a 15.5%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-3: $200 (initial balance)
Days 4-20: $300 ($100 purchase)
Days 21-30: $150 ($150 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter
4
Finance charge = $93.00
What is finance charge of credit card?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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Gina is driving 76 miles to her brother's house. If she stops for gas after driving 34 miles, how many miles does she have to go before she gets to her brother's house?
Answer:
42
Step-by-step explanation:
76-34
Nidia cut a rectangle into 2 pieces as shown below.
12 ft
20 ft
20 ft
12 ft
She put the pieces together to form a parallelogram. What is the area of the parallelogram?
The area of the parallelogram is 240 feet.
What is area of parallelogram?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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Which of the following is equivalent to −2(4x + 8y) − 5(3q + 6p)?
−8x + 8y − 15q + 6p
−8x + 16y − 15q + 30p
−8x − 16y − 15q − 30p
−10(4x + 8y − 3q + 6p)
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!
If AC=19 and BC=7, find the length of AB.
The point Q lies on the segment PR.
Find the coordinates of Q so that PQ is
Check
17/0 of PR.
P(-3,4)
Coordinates of Q: D
Q (?, ?)
R (24,-32)
X
Save For Later
Submit
Answer:
Step-by-step explanation:
it would be 42,32 i know
What is the percent change if you paid $1.87 per gallon on February 6th and $1.80 per gallon on February 17th?
The percent change formula is:
[tex]\frac{\text{new price - previous price}}{\text{previous price}}\cdot100[/tex]In this case, the percent change is:
[tex]\frac{1.8-1.87}{1.87}\cdot100=-3.74\text{ \%}[/tex]Find the area of a triangle bounded by the
y
axis, the line
f
(
x
)
=
4
−
1
5
x
, and the line perpendicular to
f
(
x
)
that passes through the origin.
The area of a triangle bounded by the region will be 11.95 sq. units.
What is the triangle?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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A rectangular tabletop has an area of 28 1/8 sqaure feet length of 6 1/4 feet what is the width of the tabletop
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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f(x) = 8x + 1, g(x) = 4x - 2
Find (fg)(x).
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.
What is 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.
What is substitution method?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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(-35) divided by 7 =?
Answer:
-5
Step-by-step explanation:
Answer: -5
Step-by-step explanation: -35 divided by 7 is -5
determine the volume of each rectangular prism.. round to the nearest tenth if necessary
The volume of a rectangular prism is given by the formula:
[tex]V=\text{length}\times\text{width}\times\text{height}[/tex]Given the length is 7 cm
Width is 3 cm
Height is 3 cm
Substituting into formula, we find the volume:
[tex]\begin{gathered} V=7\times3\times3 \\ V=63\operatorname{cm}^3 \end{gathered}[/tex]What is the slope of the line represented by the equation 2x+3y=-12
Answer:
-2/3
Step-by-step explanation:
I graphed it
provide the correct reason for the statement in line 4. (please help)
The property that completes the proof is the transitive property
How to determine the statement that represents the reason in the proof?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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Find the area of a parallelogram that is 6m height 7m length
Answer:
Area (A) = 42m²
Step-by-step explanation:
A = b·h = 6·7 = 42m²
Find the volume of this rectangular pyramid Be sure to include the correct unit in your answer
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.
Write the component form of the vector.
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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PLS ANSWER THIS MATH PROBLEM!!
Answer:
48[tex]units^{2}[/tex]
Step-by-step explanation:
Can somebody help me with this please ?
The correct answer is option d, output = 6 - input using coordinate geometry.
What is 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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A quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 10% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection? Round your answer to four decimal places
In the game, your score grew by 200 points each time you scored. Two expressions below represent your echoes after 12 hits. Find both.
A) 200 + 200 + - - - + 200 +200
—————————————————
12times
B) 200 ⚫️ 200 ⚫️ - - - ⚫️ 200 ⚫️ 200
—————————————————
12times
C) 200 ⚫️ 12
D) 200 + 12
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:
A rental car agency charges $240.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $477.50
Answer: 950
Step-by-step explanation:
$477.50 - $240.00 = 237.50
$237.50 / $0.25 = 950
help meeeeeeeeee
12 Answer:
Evaluate the expression: 8-6+4
13 Answer:
Evaluate the expression: 16÷(4-2)-3
14 Answer:
Check whether the given number is a solution of the equation:
3x + 5 = 17; x=2
a. solution is correct
b. solution is incorrect
15 Answer:
Check whether the given number is a solution of the equation:
4y - 7 = 3y - 4; y=3
a. solution is correct
b. solution is incorrect
16 Answer:
Check whether the given number is a solution of the inequality:
2m - 3 < 4; 2
a. number is a solution
b. number is not a solution
17 Answer:
Check whether the given number is a solution of the inequality:
5 + 2n ≥ 12; 0
a. number is a solution
b. number is not a solution
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
Find the slope m and y-intercept b. (If an answer is undefined, enter UNDEFINED. If an answer does not exist, enter DNE.)
x = −9
m =
b =
Answer: undefined, DNE
Step-by-step explanation:
This is a vertical line, so there is an undefined slope and no y-intercept.
There is no y-intercept because the line does not pass through the origin.solve using distributive property ASAP
8(x+2)
The equation 8(x+2) can be expressed using the distributive property as 8x + 16.
What is distributive property?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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equations with parenthesis
Answer:b=6
Step-by-step explanation:
(1 point) Find the slope of the line containing the points f(-3) = 9 and f(9) = -10.
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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