Answer:
33% ( A )
Step-by-step explanation:
Number of seats = 300
Ticket price = $450
passengers who reserve but don't show up : mean = 40 , Std = 14
net cost of involuntary boarding denial = $900
Determine the probability of not dealing with over booked passengers
Given ;
Net cost of Involuntary boarding denial ( Nd ) = $900
cost excess ticket ( Ct ) = $450
first step : determine the critical ratio
Cr = Nd / Ct + Nd
= 900 / ( 900 + 450 ) = 0.67
Finally determine the Prob ( of not dealing with overbooked passengers )
= 1 - 0.67 = 0.33 = 33%
What is an equation of the line that passes through the points (-2,7) and (1, -8)?
Answer:
y=-5x-3
Step-by-step explanation:
You need to plug both of them into the equation
y=mx+b
This would give us
7=m(-2)+b
-8=m+b
15=-3m
m=-5
y=-5x-3
Answer:
y=-5x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(1-(-2))
m=-15/(1+2)
m=-15/3
m=-5
y-y1=m(x-x1)
y-7=-5(x-(-2))
y-7=-5(x+2)
y=-5x-10+7
y=-5x-3
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63
Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]
[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]
[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]
[tex] = \frac{6786}{75.4} [/tex]
[tex] = 90 {cm}^{2} [/tex]
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
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Given the vector \mathbf{u}u equal to 3\left<\cos 255^{\circ},\,\sin 255^{\circ}\right>3⟨cos255
∘
,sin255
∘
⟩ and vector \mathbf{v}v equal to 2\left<\cos 215^{\circ},\,\sin 215^{\circ}\right>,2⟨cos215
∘
,sin215
∘
⟩, find the sum \mathbf{u}+\mathbf{v}u+v and write your answer in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree, 0^{\circ}\le \theta < 360^{\circ}.0
∘
≤θ<360
Answer:
Is this the full question?
The sum of vector is (-2.4148, -4.0499), magnitude is 4.7 and [tex]\theta[/tex] = 239 degree.
What is Vector?A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
Given:
Vector u = 3( cos 255, sin 255)
v = 2 (sin 215, cos 215)
So, u+ v
= (3 cos 255 + 2 cos 215, 3 sin 255 + 2 sin 215)
= (-2.4148, -4.0499)
and, Magnitude
| u +v | = √(-2.4148)² + (-4.0499)²
= 4.7
Then, tan [tex]\theta[/tex] = 4.0499/ 2.4148
So, [tex]\theta[/tex] = 239 degree
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find the requivalent ratios of the following 7:12
Answer:
Step-by-step explanation:
So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all
7:12
14:24
21:36
28:48
keep smiling always
Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
Name the postulate, if possible, that makes the triangles congruent. *
Answer:
answer is ASA
Step-by-step explanation:
two triangles are congruent by angle side angle theorem.
Tell whether the triangles are similar.
Answer:
No.
Step-by-step explanation:
In similar triangles, all the angles are congruent.
b = 180 - 90 - 43 = 47
c = 180 - 90 - 48 = 42
1 set of angles is 90, 43, and 47
And the other is 90, 48, and 42.
Meaning the triangles are not similar.
Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
Help! Find the measure of the arc or angle indicated.
Answer:
m<QDC = 77
Step-by-step explanation:
First we need to generate an equation in order to find the value of x.
Thus:
m<QDC = ½(Arc QBC) => Inscribed Angles Theorem)
5x + 17 = ½(4x - 6 + 9x + 4)
5x + 17 = ½(13x - 2)
Multiply both sides by 2
2(5x + 17) = 13x - 2
10x + 34 = 13x - 2
Collect like terms
10x - 13x = -34 - 2
-3x = -36
Divide both sides by -3
-3x/-3 = -36/-3
x = 12
Find m<QDC:
m<QDC = 5x + 17
Plug in the value of x
m<QDC = 5(12) + 17 = 70 + 17
m<QDC = 77
What are the dimensions of the rectangle shown on the coordinate plane?The base is 5 units and the height is 3 units.The base is 4 units and the height is 7 units.The base is 7 units and the height is 5 units.The base is 7 units and the height is 3 units.
Answer:
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
Step-by-step explanation:
The radius of the circle is
⇒ 9 units.
The center of the circle is at (
⇒ 5,
⇒ 0).
Which fraction has the greatest value?
+
-1
0
Jh
1
O
Um
d
HELPPPPP!!!!
if 7x - 9 equals 15, what is the value of 7x +1
Answer:
25Step-by-step explanation:
First,
7x - 9 = 15
=> 7x = 15 + 9
=> 7x = 24
[tex] = > x = \frac{24}{7} [/tex]
Now putting its value in 7x + 1,
= 7x + 1
[tex] = 7 (\frac{24}{7} ) + 1[/tex]
[tex] = 7 \times \frac{24}{7} + 1[/tex]
= 24 + 1
= 25 (Ans)
1. A student enlarged this rectangle to fill as
much as possible of an 8.5 cm x 11 cm
piece of paper. What scale was used?
6.3 cm
4.7 cm
A 1.75
B 1 : 2.34
C 1 4.43
D 1 : 5.94
A team of 5 bricklayers and 1 electrician is working at a construction site. The team
finishes the job and is paid. The bricklayers receive $500 each, and the electrician
receives $100 more than the average salary of the entire team. How many dollars does
the electrician get?
Answer:
600
Step-by-step explanation:
If the "entire team means just bricklayers" then....
(5)500/5=500
500+100=600
Answer:
600
Step-by-step explanation:
which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)
Answer:
B
Step-by-step explanation:
Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)
Answer:
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2
Step-by-step explanation:
The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
Answer:
The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.
Step-by-step explanation:
A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].
The table shows the number of gallons of water
Answer:
Hello! answer: 360
Step-by-step explanation:
The rule is multiply by 30 I found this out by using the info shown in the table like...
120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!
What is the length of a 50-inch TV that has a width of 27 inches?
Answer:
42.08inches
Step-by-step explanation:
Given data
SIze of TV= 50 inch
Width= 27inches
Length= ??
Applying Pythagoras theorem
z^2= x^2+y^2
50^2= x^2+27^2
square root both sides
50^2= x^2+27^2
2500= x^2+ 729
2500-729=x^2
1771=x^2
x= √1771
x= 42.08
Hence the lenght is 42.08inches
Find the value of the variable. Round decimal to nearest tenth if necessary.
Given:
In a right angle triangle,
Length of legs are x and 7.
Length of hypotenuse = y
Measure of angle between leg 7 and hypotenuse = 33 degrees.
To find:
The value of x and y.
Solution:
In a right angle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]
[tex]7\times \tan (33^\circ)=x[/tex]
[tex]7\times 0.6494=x[/tex]
[tex]4.5458=x[/tex]
Approximate the value to the nearest tenth.
[tex]x\approx 4.5[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]
[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]
[tex]y=\dfrac{7}{0.83867}[/tex]
[tex]y=8.34655[/tex]
Approximate the value to the nearest tenth.
[tex]y\approx 8.3[/tex]
Therefore, the correct option is D.
The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.
Answer:
-23, -24
Step-by-step explanation:
Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.
7k-6,2k+14 solve for K
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
Question 5 of 10
How many solutions over the complex number system does this polynomial
have?
2x4 – 3x3 – 24.x2 + 13x +12=0
Enter your answer as an integer.
Answer:
4 solutions
Step-by-step explanation:
if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.
Phillip is competing in a race car competition. He drives 218.4 miles in 2.4 hours.
(a) What unit rate may be of interest here?
If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units of time, then that object's speed will be given as
Speed = Distance traveled/Time taken
S = D/T
Phillip is competing in a race car competition.
He drives 218.4 miles in 2.4 hours.
Then the speed of the car will be
S = 218.4/2.4
S = 91 miles per hour
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Which expression represents the sum of 59 and x?
A. 59 + x
B. 59 division sign x
C. 59x
D. 59-x
Answer:
A. 59 + x
Step-by-step explanation:
sum of 59 and x
59 + x
Hence, Solve the equation
X Х
1- x
4x=
What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?
Answer:
y = 3x - 17
Step-by-step explanation:
y - 3x = 2
y = 3x + 2
Parallel slope (m) = 3
Passes through (6, 1)
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = 3(x - 6)
y - 1 = 3x - 18
y = 3x - 17