Answer:
The expected number of ticket holders that will fail to show for the flight is 13.9.
Step-by-step explanation:
For each ticket holder, there are only two possible outcomes. Either they fail to show up for the flight, or they do not. Ticket holders are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
5% of passengers fail to show for flights
This means that [tex]p = 0.05[/tex]
278 tickets sold
This means that [tex]n = 278[/tex]
What is the expected number of ticket holders that will fail to show for the flight?
[tex]E(X) = np = 278*0.05 = 13.9[/tex]
The expected number of ticket holders that will fail to show for the flight is 13.9.
Can someone help me with this question please :) (University)
Answer:
(-5 1 0 0) and (-3 0 1 0)
Step-by-step explanation:
Based on my memory, you can use the dot product to find orthogonality meaning
u1 . u2 = 0
In this case, we let u be the arbitrary vector represented by (x y z w)
u . (1 5 3 0) can be expressed as an equation given by:
{(x y z w) | x + 5y + 3z + 0w= 0}
We solve this equation letting y = s and z = t and x = -5s -3t
Reconstruct this according to their variable will give
(-5 1 0 0)s + (-3 0 1 0)t = 0
So the basis vectors are (-5 1 0 0) and (-3 0 1 0).
Let c1 and c2 be arbitrary constants:
if you solve for c1(-5 1 0 0) + c2(-3 0 1 0) = 0
c1 and c2 should have only trivial solution, which proves its
linear independence and so it forms a basis vector space.
Select all order pairs that satisfy the function y = -2x + 5
(2,1)
(3,0)
(1, -7)
(-2,9)
(5, 5)
A jeweler works with two kinds of metals, the first contains
72% silver and the second contains 87% silver.
If he wants to end up with a mixture of 50 grams that is
84% silver,
How many grams of the 72% silver metal should he use?
Answer:
The TI-84 Plus Silver Edition is powered by four AAA alkaline batteries (not included) , with an automatic shutoff to save energy.
Step-by-step explanation:
Please answer this question!!! Thank you!
Answer:
your answer is b
Step-by-step explanation:
A carry out container is shown. The bottom base is a 4-inch square and the top base is a 4-inch by 6-inch rectangle. The height of the container is 5 inches. Find the volume of the food that it holds.
Answer: 100
Step-by-step explanation: I don't really have a step-by-step explaination, but I do know that the answer is 100.
geometry: find the value of x. Round to the nearest tenth. How do I do this? screenshot attached
Answer:
[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]
Step-by-step explanation:
To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentIf we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).
[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]
[tex]cos(70)=\frac{36}{x}[/tex]
Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).
[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]
[tex]cos(70)*x= 36[/tex]
Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.
[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]
Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.
[tex]x \approx 105.3[/tex]
x is about 105.3
y varies directly as x.x= 1/2 and y= 5/4. Find x when y= 10.
x= ?
Answer:
X=4Step-by-step explanation:
x=1/2=2/4
y=5/4
y=2.5x
10/2.5=4
so x=4
PLEAS HELP
The measures 2^3 , 4, and 2^7 create a right triangle.
True
false
Answer: true
Step-by-step explanation: they are all equivalent
Answer:
False
Step-by-step explanation:
using a quadratic equation
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 20 m/s. The ball's height h (in meters) after 1 seconds is given by the
following
h=1+20t-5t2
Find all values of 1 for which the ball's height is 11 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer or )
Answer:
The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the ball after t seconds is given by:
[tex]h(t) = 1 + 20t - 5t^2[/tex]
Find all values of t for which the ball's height is 11 meters.
This is t for which [tex]h(t) = 11[/tex]. So
[tex]h(t) = 1 + 20t - 5t^2[/tex]
[tex]11 = 1 + 20t - 5t^2[/tex]
[tex]5t^2 - 20t + 10 = 0[/tex]
Simplifying by 5
[tex]t^2 - 4t + 2 = 0[/tex]
Which means that [tex]a = 1, b = -4, c = 2[/tex]
[tex]\Delta = (-4)^2 - 4(1)(2) = 8[/tex]
[tex]t_{1} = \frac{-(-4) + \sqrt{8}}{2} = 3.41[/tex]
[tex]t_{2} = \frac{-(-4) - \sqrt{8}}{2} = 0.59[/tex]
The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.
If e.g Lawrence had 2 braincells and lost 3 how many would lawrence have?
Answer:
0?
Step-by-step explanation:
i think?
Factor the following expression, and verify that the factored expression is equivalent to the original
16x²-8x-3
Answer:
Final answer
(4X+1)(4X-3)
Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.
Answer:
30
Step-by-step explanation:
b×h
6×5=30
gggffcguhh
The action of coming to live permanently in a foreign country.
Answer:
Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.
Please help me with 12
Answer:
asa
Step-by-step explanation:
(08.01)
Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge,
strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
Answer:
A
Step-by-step explanation:
njsusnhshbwhjkahbkans
The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in is the height
Answer:
8.1 inches
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =
[tex] \frac{area}{ \frac{1}{2} \times height} [/tex]
Base is the length by the way.
[tex] \frac{8.91}{ \frac{1}{2} \times 2.2 } [/tex]
=8.1 inches
Answer:
Then answer is 8.1 inches ;)
Find the simplified product where sqrt 5x ( sqrt 8x^2 - 2 sqrt x)
Answer:
D is your answer
Step-by-step explanation:
Just did it and it was right : )
Also for anyone else who needs the other answers they are as follows:
1. D. [tex]6x^4[/tex] then C. [tex]3x^4[/tex]
2. B. [tex]-30x^2 \sqrt{2x}[/tex] then C. [tex]4x^4^3 \sqrt{2x^2}[/tex]
3. D. [tex]2x\sqrt{10x} - 2x \sqrt{5}[/tex]
4. B. [tex]32x^2 \sqrt[3]{2x} -8x^3[/tex]
5. A. [tex]-22[/tex] then C. [tex]4x^4 \sqrt{5} +2x^2 \sqrt{3x} + 4x^3 \sqrt{30} +6x \sqrt{2x}[/tex]
6. B. [tex]x^\frac{2}{12}* y^\frac{9}{12}[/tex] then C. [tex]\sqrt[12]{x^2*y^9}[/tex]
These answers are for!!!!NC Math 2 -22092x0
Multiplying Radicals
Assignment
Due March 11
Multiplying radicals with like indices.
The solution of the given equation will be 2√5x(√2-1).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The expression will be solved as below:-
= √5x ( √8x² - 2√x)
= √5x ( 2√2x - 2√x)
= √5x(√2-1)(2√x)
= 2√5x(√2-1).
Therefore the solution of the given equation will be 2√5x(√2-1).
To know more about equations follow
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7+12x=103 show how you checked it was right
Answer:
x=8. You plug 8 in for x.
7+12(8)=103
7+96=103
Step-by-step explanation:
7+12x=103
or 12x=103-7
x=96/12=8
to check it 8 is needed.
7+12×8=103
in ABC, what is the value of x?
Answer:
x = 16.2
Step-by-step explanation:
5/9 = 9/x
5x = 81
x = 16.2
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
Answer:
14π
Step-by-step explanation:
C = 2πr
D=2r
D=14
14=2r
r=7
C=2π(7)
C=14π or 43.98
I really need help! will give brainliest!!
Translate the sentence into an inequality.
A number increased by 2 is greater than or equal to 19.
Answer:
X + 2 [tex]\geq \\[/tex] 19
Step-by-step explanation:
a number ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.
Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.
inscribed in the circle
circumscribed about the circle
neither
The correct answer is neither
Find the volume of the following prism using the formula V = Bh.
Answer:
504 un²
Step-by-step explanation:
7 × 6 × 12 = 504
504 un²
Volume is not BH but rather LBH
So LBH = 7 * 12 * 6
Volume = 504cm³
I give you brainless if you get it right
A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every trip. Plan B costs a one-
time fee of $41 for parking plus $20 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
O4 visits
O 14 visits
08 visits
07 visits
Answer:
40+8X=50+23X
8X-23X=50-140
-15X=-90
X=-90/-15
X=7 TRIPS IS THE ANSWER.
PROOF:
140+8*6=50+23*6
140+48=50+138
188=188
Which set of measurements would not create a triangle?
A. 9 in., 8 in., 16 in.
B. 11 in., 12 in., 22 in.
C. 14 in., 6 in., 20 in.
D. 3 in., 8 in., 6 in.
Consider this function:
f(x) = -2(x + 3)(x - 7).
When graphed, the function will have x-intercepts at and
Write the left x-intercept first. Write the x-intercepts as ordered pairs: (a,b).
Answer:
-5 +7x equal 12x
Step-by-step explanation:
add and complete
The x-intercepts of the function f(x) are:
Left x-intercept: (-3, 0)
Right x-intercept: (7, 0)
Given is a function, f(x) = -2(x + 3)(x - 7).
We need to find the x-intercept of the function,
To find the x-intercepts of the function f(x), we set f(x) equal to zero and solve for x:
-2(x + 3)(x - 7) = 0
Now, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.
So, we have two cases to consider:
Case 1: x + 3 = 0
Solving this equation, we subtract 3 from both sides:
x = -3
Case 2: x - 7 = 0
Solving this equation, we add 7 to both sides:
x = 7
Therefore, the x-intercepts of the function f(x) are -3 and 7.
Writing them as ordered pairs, we have:
Left x-intercept: (-3, 0)
Right x-intercept: (7, 0)
Learn more about x-intercepts click;
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Please help!! (Prob and Stats)!!
Answer:
why
Step-by-step explanation:
your image is blocked
Given the equation y=3(2)* + 2, what is the value of y when x = 4?
A. 8
B. 50
C. 256
D. 770
Answer: It will be 50
Step-by-step explanation: