Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport students, requires chaperones, and costs $ to rent. Each van can transport students, requires 1 chaperone, and costs $ to rent. Since there are students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least students. Since only parents have volunteered to serve as chaperones, the officers must plan to use at most chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
Answer:
We require 2 buses and 18 vans for minimal cost
The minimal transportation costs $4560
Step-by-step explanation:
Let x represents the no. of buses and y represents the no. of vans
We are given that Each bus can transport 63 students, requires 2 chaperones, and costs $1200 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $120 to rent.
We are also given that the officers must plan to accommodate at least 252 students.
So, [tex]63x+7y \geq 252[/tex]
We are also given that the officers must plan to use at most 22 chaperones.
So, [tex]2x+y \leq 22[/tex]
Rent of 1 bus = $1200
Rent of 1 van = $120
So, Cost = 1200x+120y
Objective function : 1200x+120y
Plot the lines on graph
[tex]63x+7y \geq 252[/tex] ---- Blue region
[tex]2x+y \leq 22[/tex] ----- Green region
So, The points of the feasible region are (4,0),(2,18) and (11,0)
At (4,0)
Transportation cost : 1200x+120y=1200(4)+120(0)=4800
At (2,18)
Transportation cost : 1200x+120y=1200(2)+120(18)=4560
At (11,0)
Transportation cost : 1200x+120y=1200(11)+120(0)=13200
So, The cost is minimum at (2,18)
So, We require 2 buses and 18 vans for minimal cost
Hence the minimal transportation costs $4560
I am thinking of a number.
When I subtract 19 and multiply the answer by 4, I get 16.
What is noah’s number?
Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
If my answer helped , please mark me as brainliest,
Thank you
a seven-digit in the number has a 0 in the ones place,a 6 in the ten thousands place, an 8 in the millions place , and fives in each of the remaining places, what is the number?
Answer:
8,565,550
Step-by-step explanation:
Don’t know how to explain this my friend
Choose the slope-intercept form of 3x + 2y = 5
Answer:
B
Step-by-step explanation:
The equation in slope-intercept form is: B. y = -3x/2 + 5/2.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.Based on the information provided about this line, a linear equation that models it is given by;
y = mx + b
3x + 2y = 5
By making y the subject of formula, we have the following:
2y = -3x + 5
2y/2 = -3x/2 + 5/2
y = -3x/2 + 5/2
Therefore, the y-intercept is 5/2 and the slope is -3/2. So, the correct answer option is: B. y = -3x/2 + 5/2.
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(18,‐7)and(18,2) what's the slope
Answer:
only these 2 terms are given
The slope of the line that passes through (18, ‐7) and (18, 2) will be ∞.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(18, ‐7) and (18, 2)
The slope of the line is given as,
m = (2 + 7) / (18 - 18)
m = 9 / 0
m = ∞
The slope of the line that passes through (18, ‐7) and (18, 2) will be ∞.
More about the linear equation link is given below.
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Circle the vertex of the angle.
Answer:
The vertex is point B
Step-by-step explanation:
The vertex of the angle is where the two rays meets
<ABC ( also called < BCA) can also be called by the vertex
<B
how do i convert (-∞,∞) to inequality notation. I am being told -∞
Answer:
-inf<x<inf
Step-by-step explanation:
6.
Simplify the expression.
(-3)-4
Answer:
-7
Step-by-step explanation:
Re-write: -3 - 4-3 - 4 = -7I hope this helps!
Answer:
12
Step-by-step explanation:
Negative times negative equals positive, in other words, all you need to do is multiply 3 and 4.
Are these two functions inverse of each other? 3 g(x) + = 4x + 3 and f(x) = -x f(x) = -~- 4 Ο Νο O Yes
Answer:
Yes!
Step-by-step explanation:
5x - 2y = 14
2x + 2y = 14
[by elimination]
Answer:
x=4, y =3
Step-by-step explanation:
5x - 2y =14
2x +2y =14
Remains
5x +2x =14+14
7x=28
x=28 :7
x=4
Now we go to the first equation
5×4 - 2y =14
20 - 2y =14
-2y =14-20/×(-1)
2y =6
y=6 :2
y=3
draw a card from the deck and toss a coin dependent or independent ?
One baseball team played 40 games throughout their entire season. If this baseball team won 14 of those games, then what percentage of their games did they win?
Answer:
They won 35% of their games.
Step-by-step explanation:
I just searched it up and got this. Hope it helps.
Simplify. .
9
10
4
15
0
믐믐
X X
6)
?
Answer:
what are you trying to say
Step-by-step explanation:
you need to give me more information before I give you an answer.
A graph is a straight line through the point (0,5). Can the graph represent a proportional relationship?
Answer:
yes because every time x changes y changes the same amount
Step-by-step explanation:
Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1
hour?
Answer:
Your answer is going to be 1 1/2 rooms
Step-by-step explanation:
Answer:
1.5 rooms
Step-by-step explanation:
The rate of work in rooms per hour is 1/2 room divided by 1/3 hour.
(1/2 room)/(1/3 hour) = 1/2 * 3/1 rooms/hour = 3/2 rooms/hour =
= 1.5 rooms/hour
In 1 hour, he can paint 1.5 rooms.
Let p denote the current market price for widgets and let x denote a quantity of widgets. The price per widget and the daily supply of widgets are related by the following Supply Equation: p = 0.16x + 16. The price per widget and the daily demand for widgets are related by the following Demand Equation: p = –0.09x + 29. Find the equilibrium price for widgets in the market. Round your answer to two decimal places.
Answer:
[tex]x = 52.00[/tex]
Step-by-step explanation:
Given
[tex]Demand: p = 0.16x + 16[/tex]
[tex]Supply: p -0.09x + 29[/tex]
Required
Determine the equilibrium price
This is determined when Demand = Supply
So:
[tex]0.16x + 16 = -0.09x + 29[/tex]
Collect Like Terms
[tex]0.16x + 0.09x = 29 - 16[/tex]
[tex]0.25x = 13[/tex]
Solve for x
[tex]x = 13/0.25[/tex]
[tex]x = 52.00[/tex]
Hence; The equilibrium price is when x = 52.00
Describe the graph of the solution set for g ≤ 13
Please solve this question for a
Answer:
[tex]a = \frac{8A}{\pi {r}^{2} } + 1 \\ [/tex]Step-by-step explanation:
[tex]A = \frac{1}{8} \pi {r}^{2} (a - 1) \\ [/tex]
First of all multiply through by 8 to eliminate the fraction
That's
[tex]8A = 8 \times \frac{1}{8} \pi {r}^{2} (a - 1) \\8 A = \pi {r}^{2} (a - 1)[/tex]
Divide both sides by πr²
[tex] \frac{8A}{\pi {r}^{2} } = \frac{\pi {r}^{2}(a - 1) }{\pi {r}^{2} } \\ a - 1 = \frac{8A}{\pi {r}^{2} } [/tex]
Move 1 to the other side of the equation to make a stand alone
We have the final answer as
[tex]a = \frac{8A}{\pi {r}^{2} } + 1 \\ [/tex]
Hope this helps you
Answer:
a = (8A)/(\pi r^(2))+1
Step-by-step explanation:
Please help me thank you
Answer:
b = 20 when a = 8.
Step-by-step explanation:
For this problem, we will simply plug the value of a=8 into the given equation for b, to find the value of b.
b = [ (a)^2 / 4 ] + 4
b = [ (8)^2 / 4 ] + 4
b = [ 64 / 4 ] + 4
b = [ 16 ] + 4
b = 20
Hence, when the value of a=8, then the value of b=20.
Cheers.
Answer:
20
Step-by-step explanation:
b = a^2/4 +4
Let a =8
b = 8^2 /4 +4
= 64/4 +4
= 16 +4
= 20
Estimate the product then find the product 3 1/5 X 2/3=
Step-by-step explanation:
5x2=10 31/10=10 1/4 10 1/4 /3=3
So the answer is 3
What are two consecutive integers in between square root of 45
Answer:
Between 6 and 7
Step-by-step explanation:
6^2 = 6 × 6 = 36
7^2 = 7 × 7 = 49
45 is between 36 and 49
whats the answer to part B
Answer: 5.7 liters of 5% solution and 4.3 liters of 40% solution.
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what is The greatest common factor of 42 and 96 I’ll give you brainliest
Answer:
6
Step-by-step explanation:
42 and 96
first we will find the factors of 42:
2 21
3 7
7 7
hence, factors of 42 are 2,7 and 3
then, we will find the factors of 96:
2 96
2 48
2 24
2 12
2 6
3 3
1
hence, factors of 96 are 2,2,2,2,2 and 3
Common factors are: 2 and 3
Highest common factor: 6
The greatest common factor of 42 and 96 is 6.
What is greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
42 = 2 x 3 x 7
96 = 2 x 2 x 2 x 2 x 2 x 3
Greatest common factor = 2 x 3 = 6
Learn more about greatest common factor here
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what is the coefficient of the third term in the following algebraic expressu?
Answer:
- 22
Step-by-step explanation:
The coefficient is the numeric value in front of the variable and including its sign.
Given
4[tex]x^{5}[/tex] + [tex]x^{4}[/tex] - 22x² - x + 17
↑ third term
The third term is
- 22x² with coefficient - 22
The total cost of filling your car with gas varies directly with the number of gallons of gasoline you are purchasing. If a gallon of gas costs $1.85, how many gallons would you purchase for $15.54?
Answer:
you get eight and a half gallons
Step-by-step explanation:
do do multiplication
Which fraction is equivalent to 38%?
A: 3 over 8
B: 9 over 25
C: 19 over 50
D: 3 4/5
Answer:
C: 19 over 50
Step-by-step explanation:
.3*50=15
.08*50=4
15+4=19
.38*50=19
19/50=.38
Answer:
C: 19 over 50
Step-by-step explanation:
To turn a fraction into a decimal, you divide the numerator (top number) by the denominator (bottom number). 19 divided by 50 is 38%.
Which of the following is the graph of y =cos (2x)
Answer:
I'm sorry the answer above me is incorrect. The correct answer is A.
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
Edge 2022 Unit test
The weight of an object rounds to 41.3 kilograms select the three posible weights that correctly round to 41.3 kilograms
A)41.371
B)41.309
C)41.32
D)41.35
E)41.263
Gene moved to a new school on the 24th day of the 2nd month of a common year. When his new teacher introduced him to the class, Gene told them that his birthday was only seven days away. When is Gene’s birthday? How many days away would Gene’s birthday be if it were a leap year?
Answer:
Genes birthday is February 29th, or March 1st on a Leap Year
February has 29 days in a common year, so 24+7 is the 29th
February has 28 days in a Leap Year, so one less day would lead you to March 1st
select 3 answer plz
Answer:
y=3cos(x)
y=\sin(2x)+3y=sin(2x)+3
y=\tan(x)+3y=tan(x)+3
