Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
Can somebody please help? It don't get it
Answer: 4
14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more
10+x=14
x=4
Answer:
Equation: 14 - j = 10
j = 4
Step-by-step explanation:
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
5 of 10
A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.
Answer: 1/3
Step-by-step explanation:
numbers more than 4 are: 5, and 6
so 2/6 chance of rolling a number greater than 4
in simplest form this is 1/3
Answer:
number 4 are t is greater
What equation will you use to solve this problem.
Answer:
The answer is D! Sorry if I get the answer wrong.
Step-by-step explanation:
Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
he radius of a sphere is 10 units. Find the volume of the sphere. Write your answer in terms of pie .
The volume is
cubic units. HURRY ASAP PLS IT DUE IN 10 MINS
[tex]\huge\mathcal\pink{Answer}[/tex]
radius r = 10 m
volume V = 4188.7902 m3
surface area A = 1256.63706 m2
circumference C = 62.8318531 m
In Terms of Pi π
volume V = 1333.33333 π m3
surface area A = 400 π m2
circumference C = 20 π m
will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree?
Answer:
180 degrees - 101 degrees - 65 degrees = 14 degrees
Please help me with this
Answer:
33
Step-by-step explanation:
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation:
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
Which operation would be last when solving the inequality -5x + 9 < -6
Answer: divding both sides by -5
Step-by-step explanation:
Subtract 9 from both sides.
−5x+9−9<−6−9
−5x<−15
Step 2: Divide both sides by -5.
−5x/−5<−15/−5
x>3
The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an award?
Answer:
74
Step-by-step explanation:
To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.
Answer:25/day
Step-by-step explanation:
Please help I need to get this done
Answer:
48
Step-by-step explanation:
So you take 7x-92+6x+12=180
And then you get x=20
Plug in 20 for x for <LOM
And you get and you get 48
Hope this helped!!
how to tell the transformation of graphs?
Answer:
:D
Step-by-step explanation:
if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)