Answer:
The expected cost is $8.75
Step-by-step explanation:
Given
[tex]Time = \{1pm, 2pm, 3pm, 4pm\}[/tex]
[tex]C_1 = \$5[/tex] --- If Bob and Anna meet
[tex]C_2 = \$10[/tex] --- If Bob and Anna do not meet
Required
The expected cost of Bob's meal
First, we list out all possible time both Bob and Anna can select
We have:
[tex](Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)[/tex][tex],(3,4),(4,1),(4,2),(4,3),(4,4)\}[/tex]
[tex]n(Bob, Anna) = 16[/tex]
The outcome of them meeting at the same time is:
[tex]Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}[/tex]
[tex]n(Same\ Time) = 4[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}[/tex]
[tex]Pr(Same\ Time) = \frac{4}{16}[/tex]
[tex]Pr(Same\ Time) = \frac{1}{4}[/tex]
The outcome of them not meeting:
[tex]Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)[/tex]
[tex],(3,4),(4,1),(4,2),(4,3)\}[/tex]
[tex]n(Different) = 12[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}[/tex]
[tex]Pr(Different) = \frac{12}{16}[/tex]
[tex]Pr(Different) = \frac{3}{4}[/tex]
The expected cost is then calculated as:
[tex]Expected = C_1 * P(Same) + C_2 * P(Different)[/tex]
[tex]Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}[/tex]
[tex]Expected = \frac{\$5}{4} + \frac{\$30}{4}[/tex]
Take LCM
[tex]Expected = \frac{\$5+\$30}{4}[/tex]
[tex]Expected = \frac{\$35}{4}[/tex]
[tex]Expected = \$8.75[/tex]
The expected cost is $8.75
What do I put in 1,2,3,4,5,6 I need help plz timed test
Answer:
The value of x = 6.5 units
Step-by-step explanation:
Given triangle is a right angle triangle;
Length of base = 2.5 unit
Length of perpendicular = 6 unit
Find:
The value of x
Computation:
Using Pythagoras theorem;
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 2.5² + 6²
Hypotenuse² = 6.25 + 36
Hypotenuse² = 42.25
Hypotenuse = √42.25
Hypotenuse = 6.5 unit
The value of x = 6.5 units
Which of the following expressions has the greatests value?
Mandy works part-time to earn money for a trip. The amount she saves after working x hours is given by the equation y=7.5x+40. How much does Mandy earn per hour?
[tex]y = 7.5x + 40 \\ y = 7.5(1) + 40 \\ y = 7.5 + 40 \\ y = 47.5[/tex]
[tex]mandy \: earns \: 47.5 \: per \: hour[/tex]
Would the value of
{2 + ((15 – 3) - 61) = 2
change if the braces were
removed? Explain.
Answer:
{2+[(15-3)-61]}= -47
Yes, the value would change because if it did you would use the method PEMDAS but if there were brackets you would do the process in the order of the brackets
Step-by-step explanation:
Jossline rented a bicycle while she was on vacation. She paid a flat rental fee of $55 plus
$8.50 each day. The total cost was $123. Write and equation you can use to find the total
the number of days she rented the bicycle.
Answer: 123/8.50
Step-by-step explanation:
Mr. Claussen needs a total of 15 pounds of ground beef to make hamburgers for a company picnic. He finds that 2 pounds of ground beef cost $4.40.At this rate, how
much should Mr. Claussen plan on spending for the 15 pounds of ground
beef?
A $66.00
B. $33.00
C. $19.40
D. $2.20
Answer: your answer should be 33.00/B
Step-by-step explanation:
Because u need to divide 15 by 2 = 7.5
Then Times that my 4.40
U get 33 dollar
Question 2
Find the distance between (-4, 2) and (-4,-4).
I’ll give all five stars
Answer:
6
Step-by-step explanation:
i am smart
What is the volume of the cone below? ):
Answer:
A. 112π units³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 4
Height h = 21
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (4)^2(21)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (16)(21)[/tex]Multiply: [tex]\displaystyle V = \frac{16 \pi}{3}(21)[/tex]Multiply: [tex]\displaystyle V = 16 \pi \cdot 7[/tex]Multiply: [tex]\displaystyle V = 112 \pi[/tex]Can anyone help? I’ll give Brainly! Thank you :)
==============================================================
Explanation:
f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.
x^2-2x+3 = -6x
x^2-2x+3+6x = 0
x^2+4x+3 = 0
(x+3)(x+1) = 0 .... see note below
x+3 = 0 or x+1 = 0
x = -3 or x = -1
Note: 3 and 1 multiply to 3, and also add to 4.
---------------------
Once we get the x values, we plug them into either equation to find the y value.
So if x = -3, then
f(x) = x^2-2x+3
f(-3) = (-3)^2-2(-3)+3
f(-3) = 9 + 6 + 3
f(-3) = 18
or we could say
f(x) = -6x
f(-3) = -6(-3)
f(-3) = 18
Both versions produce the same output when x = -3.
The second version is easier to work with.
Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.
-----------
We'll use this idea for x = -1 now
f(x) = x^2-2x+3
f(-1) = (-1)^2-2(-1)+3
f(-1) = 1 + 2 + 3
f(-1) = 6
or we could say
f(x) = -6x
f(-1) = -6(-1)
f(-1) = 6
Like before, both versions of f(x) produce the same output when the input is x = -1.
The other solution is (-1, 6)
someone help
NO LINK IM SO FR NO LINKS
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
Plsss answer this quick question!!
Answer:
D
Step-by-step explanation:
i would say D because in the hall she would still be able to see the people where as if they are on a piece of paper in a box she cant see who will be drawn.
Answer:
B.
Step-by-step explanation:
A. Incorrect because it’s unreasonable.
C. Incorrect because why would a teacher pull 2 students from a completely different class to read?
D. Incorrect because does a teacher do that just to ask 2 students to do something simple?
B. The most reasonable answer that most teachers will do.
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
At the grocery store you buy snacks
for $12 and a 6 pack of juices. The
total for the groceries is $15.15.
Write an equation to solve for the
cost of each juice.
Answer:
12+6x=$15.15 should be your answer :)
Solve the compound inequality.
7x>-35 and -5x ≥ -50
A. -5< x≤10
B. -5≤x≤10
C. 5≤x≤10
D. 5>x≤10
need help
Answer:
A. -5< x≤10
Step-by-step explanation:
7x>-35 and -5x ≥ -50
7x>-35
x>-5
-5x ≥ -50
x≤ 10
so, the result is:
-5< x ≤10
mlin
Find the point-slope equation of the line using the point (3, 5) and 3/2 slope
Use the slash key (/) to indicate a fraction.
Answer:
y-5 = 3/2(x-3)
Step-by-step explanation:
The point slope form of the equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 3/2(x-3)
A courier service charges a flat rate of $12.50 per trip plus $0.60 per mile. They charged Films & More $23.30 to deliver a package. ( a. Write the equation for this situation) (b. How many miles did the courier service have to travel? )
Answer:
y = 0.6x + 12.5
The courier service had to travel 18 miles
Step-by-step explanation:
Create an equation where y is the cost to deliver a package, and x is the number of miles traveled.
Since the service charges $0.60 per mile, the cost can be represented by $0.60x.
There is a flat rate of $12.50, so this will be added to 0.60x.
Then, set this equal to y. Using this, create an equation:
y = 0.6x + 12.5
Find how many miles the courier service had to travel by plugging in 23.30 as y, and solving for x:
y = 0.6x + 12.5
23.3 = 0.6x + 12.5
10.8 = 0.6x
18 = x
So, the courier service had to travel 18 miles.
Determine whether AB is tangent to the circle with center c
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Tan.
Multiple Thumbs-up ^_^
ASAP PLEASE HELP FAST if you can do any of them please do
Answer:
Number 7: D. 378 ft
And I'm Not Sure About The Others
Step-by-step explanation:
Answer:
question 8 : 157 m²
Step-by-step explanation:
cone volume:. π×r²×h/3
3,14×25×6/3 = 157 m²
What is the conjugate of the fraction
Answer:
-10 + [tex]\sqrt{17}[/tex]
Step-by-step explanation:
the importance of the conjugate is, when multiplied by the numerator and denominator, to remove the radical
for example, if you multiply (-10 - [tex]\sqrt{17}[/tex]) by (-10 + [tex]\sqrt{17}[/tex]) by using the foil method you get:
100 - 10[tex]\sqrt{17}[/tex] + 10[tex]\sqrt{17}[/tex] - 17
the two middle terms drop out and you are left with 83 in the denominator
12 divided by 1 1/5 plz hurry asap
Answer:
10
Step-by-step explanation:
Answer:
10 :)
Step-by-step explanation:
12 divided by 1 1/5 is the same as:
It is always easier to convert the fraction into a decimal:
like we converted 1/5 into .20.
[tex]\frac{12}{1.2}[/tex]=10
A question you can ask yourself is:
How many times can you multiply 1.2 to get 12?
1.2*10=12.
Hope it helps! :))
What is the length of EF ?
A. 8 pi
B. 4 pi
C. 2 pi
D. Pi
The arc length EF of the circle is 2π. Therefore, option C is the correct answer.
What is arc length of a circle?The arc length is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference.
The formula to find the arc length of a circle is θ/360° ×2πr.
Given that, ∠EDF=π/2= 90° and radius of a circle = 4 units.
Here, arc length = θ/360° ×2π×4
= 90°/360° ×2π×4
= 1/4 ×2π×4
= 2π
Therefore, option C is the correct answer.
Learn more about the arc length here:
https://brainly.com/question/16403495.
#SPJ2
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
5/30 = 1/6 or 0.166 or 16.6% or 17%.
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
HELLO CAN SOMEONE HELP ME! MATH :) NO FAKE ANSWERS PLS :D
Answer:
60 cm²Step-by-step explanation:
The area is:
A = 12*6 - 3*4 = 60 cm²Answer:
[tex]60cm {}^{2} [/tex]
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
Norio, Gayle, and Tonya are playing a card game. They have a stack of red cards, a stack of yellow cards, and a stack of green cards.
On each turn, the player spins a spinner with three equal-sized sections, one red, one yellow, and one green. The spinner tells the player what color cards to draw.
Then, the player rolls a number cube with faces numbered 1–6. The number cube tells the player how many cards to draw. For example, if Tonya spins green and rolls a 4, she draws 4 green cards.
How many possible outcomes result in drawing at least one red card? Explain your answer by describing all such outcomes.
Answer:
6
Step-by-step explanation
HELLO SOMEONE HELP ME WITH THIS MATH QUESTION PLZ TY! :D
Write the absolute value equation that is represented by the graph
Answer:
y = |x + 2| - 5
Step-by-step explanation:
How to find y intercept without a graph HELP
Answer:
You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.
To do this, substitute in 0 were x is in the equation and you will find the y intercept