Answer:
2/3 pound bag
Step-by-step explanation:
( 3 1/3 = 10/3 )
10/3 * 1/5
=2/3
Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours showing. Find E[Z] using the indicator method.
Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
[tex]E(X)=\sum x\cdot P(X= x)[/tex]
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
[tex]I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.[/tex]
The probability of rolling a 4 in the three dices are as follows:
[tex]P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}[/tex]
Compute the value of E [Z] as follows:
[tex]E(Z)=E(I_{1})+E(I_{2})+E(I_{3})[/tex]
[tex]=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50[/tex]
Thus, the value of E [Z] is 0.50.
How much would a 110 commercial coast
Answer:
Real Estate listings for Sale on the #1 commercial real estate ... $7,500,000; 1 Commercial Lot; 110 AC Lot ... If you are a Palm Coast commercial real estate broker or building owner with a ... If you continue to see this message, your account may be locked due to too many failed attempts.
Step-by-step explanation:
1 1/8 = g - 4 2/5, what does g equal?
Answer:
Step-by-step explanation:
It might help to use decimals
1 1/8 = 1.125
4 2/5 = 4.4
Add these together
1.125 + 4.4 = 5.525 That's the correct answer, but likely not in the form you wanted.
1 1/8 = 9/8
4 2/5 = 22/5
9/8 + 22/5
multiply through by the Lowest Common Denominator
9*5/40 + 22*8/40 =
45/40 + 176/40
221/40
5.525
5 21/40
You get the fraction by multiplying 40 * 0.525 which is 21
So you can express 0.525 as 21 / 40
Help me out here pleaseeeeeeee
Answer:
1 5/8
Step-by-step explanation:
15/8 = 1 7/8
Write an equation that passes through a pair of points
a. y= x+3
b. y= x-3
c. y= -x+2
d.y= -x-2
Answer:
C. [tex] y = -x + 2 [/tex]
Step-by-step explanation:
First, find the slope, m, of the line that passes through the two given points.
Slope = [tex] \frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1 [/tex]
Next, determine the y-intercept, b.
The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.
Now, to get an equation of the line, substitute m = -1, and b = 2 in [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = -1x + 2 [/tex]
[tex] y = -x + 2 [/tex]
A line segment AB has the coordinates A (2,3) AND B ( 8,11) . What is the slope of AB?
Answer:
4/3
Step-by-step explanation:
11 - 3 = 8
8 - 2 = 6
8/6 = 4/3
Rise 4 Run 3
In the statistic department of UCI, there are 60 graduate students in total, 45 PhD students and 15 master students. Among master students, 40% of them are international students. Among PhD students, 20% are international students. (a) What is the proportion of international students in the statistic department? (b) What is the proportion of master students among all domestic students.
Answer:
(a) The proportion of international students in the statistic department is 25%.
(b) The proportion of master students among all domestic students is 20%.
Step-by-step explanation:
The following can first be obtained from the question:
Total number of graduate students = 60
Number of PhD students = 45
Number of Master students = 15
Percentage of international students among the master students = 40%
Percentage of international students among the PhD students = 20%
Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6
Number of international PhD students = Number of PhD students * Percentage of international students among the PhD students = 45 * 20% = 9
The questions can now be answered as follows:
(a) What is the proportion of international students in the statistic department?
This can be calculated as follows:
Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15
Total number of graduate students = 60
Proportion of international students in the statistic department = Total number of international students / Total number of graduate students = 15 / 60 = 0.25, or 25%
Therefore, the proportion of international students in the statistic department is 25%.
(b) What is the proportion of master students among all domestic students.
This can be calculated as follows:
Total number of graduate students = 60
Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15
Total number of domestic students = Total number of graduate students - Total number of international students = 60 - 15 = 45
Number of Master students = 15
Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6
Number of domestic master students = Number of Master students - Number of international master students = 15 - 6 = 9
Proportion of master students among all domestic students = Number of domestic master students / Total number of domestic students = 9 / 45 = 0.20, or 20%
Therefore, the proportion of master students among all domestic students is 20%.
Evaluate cot 45 degree
Answer:
21
Step-by-step explanation:
Find the value of X and Y
Answer:
x = 19 , y = 54
Step-by-step explanation:
3x+5 and 6x-14 are linear pair angles, they add up to 180[tex](3x+5)+(6x-14)=180\\3x+6x+5-14=180\\9x-9=180\\9x=171\\x=19[/tex] So angle 3x + 5 = 3 (19) + 5 = 62 degreesangle 62 and angle y+8 are corresponding angles, so they are equal[tex]y+8=62\\y=54[/tex]Please help anything is appreciated
Answer:
q = -2
Step-by-step explanation:
Constant = whole number
If the two lines are parallel the slopes would be equal.
So if the first line is y = -2x + 5/3
The the second line would become y = -2x + 6.
If q becomes -2, it will be a constant and the two lines will also be parallel
I need help with just the button question. It’s multiple choice.
write 5 8/100 as a decimal
Answer: 5.08
Step-by-step explanation: you have to convert it to an improper fraction
I need help with this plz bro. Plz
Answer:
I only got B
Step-by-step explanation:
Put the x-values into the equation and solve for each.
A square-shaped warehouse has a floor area of 12,769 square feet. The length of one of the walls is ___ feet.
Select one:
a. 100
b. 23.37
c. 127.69
d. 113
e. none of these
Answer:
113 (d)
Step-by-step explanation:
Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer is D.
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour.
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question.
1. Write an inequality that shows that Tyra's family spends less than their limit. Explain how you
wrote the inequality, and define any variables used.
2. Solve your inequality. Show your work. What does your solution mean?
Answer: 36+4h=60
36+4h-36=60-36
4h=24
4h÷4=24÷4
h=6
So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).
Step-by-step explanation:
Help me. Im actually so serious
Answer:
Answer in explanation
Step-by-step explanation:
Linear Modeling
It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned
Create a model in standard formLet
x = number of lawns mowed
y = number of pools cleaned
He wants to make $750, thus:
25x + 15 y = 750
Dividing by 5, we have the model that represents the linear relationship:
5x + 3y = 150
Identify the x-interceptThe x-intercept can be found by setting y=0:
5x + 3(0) = 150
5x = 150
Dividing by 5:
x = 150/5 = 30
x = 30
This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.
Identify the y-interceptThe y-intercept can be found by setting x =0:
5(0) + 3y = 150
3y = 150
y = 150/3 = 50
y = 50
This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.
Identify two combinations that are solutions to the equationStarting from the basic equation
5x + 3y = 150
We can give x some arbitrary value (less than 30) and find the value for y.
For example, for x=12
5*12 + 3y = 150
60 + 3y = 150
3y = 150 - 60 = 90
y = 90/3=30
This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.
For example, for x=21
5*21 + 3y = 150
105 + 3y = 150
3y = 150 - 105 = 45
y = 45/3=15
This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.
def~=jkl and de =x^3-3x, kj=28,m
A boat travels 3 miles south and then 9 miles east. How far is the boat from the starting point
[tex]\frac{3}{9}[/tex] + (-[tex]\frac{6}{9\\})[/tex] explain pls
Answer:-3/9
Step-by-step explanation:
When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9
A company buys a machine for $275,000 that depreciates at a rate of 10% per year. Find a formula for the value of the machine after n years. What is its value after 5 years?
Answer:
The formula is;
V = 275,000(0.9)^n
The value of the machine after 5 years is $162,384.75
Step-by-step explanation:
Here, we want to find the formula for the value of the machine after n years
Mathematically, we can use an exponential model for this
V = I ( 1 - r)^n
Where v is the value after n years
I is the value at which the machine was bought
r is the depreciation percentage ; 10% = 10/100 = 0.1
n is the number of years
Thus;
V = 275,000(1 - 0.1)^n
V = 275,000(0.9)^n
The value of the machine after 5 years will be;
V = 275,000(0.9)^5
V = 162,384.75
what is the square root of 20
Answer:
It is 4.472135955, which simplifies to 4.47
Step-by-step explanation:
Step-by-step explanation: The square root of 20 is not a perfect square.
In other words, it's impossible to find a whole number
times itself that gives us a product of 20.
However, we can simplify it.
20 breaks down into 2 x 10 and 10 breaks down into 2 x 5.
Since the 2's pair up as factors of 20, a 2 comes out of the radical.
Since the 5 doesn't pair up, it stays inside.
So our answer is 2√5.
You have decided to pursue a career in nursing. You are willing to relocate based on salary differences. The states you are willing to relocate to have the following average hourly wages: NY = $33.55, MA = $33.37, CA = $31.54, and FL $24.57. What is the mean salary for these options?
Answer:
$30.76
Step-by-step explanation:
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
What is the proportion
8. 360 jelly beans were in a jar. 40 of
them were red. If you pick 18, how
many of those should be red?
Answer:
2 jelly beans were red
Step-by-step explanation:
40/360=20/180=10/90=(divide 5)2/18=1/9-simplifying
1/9/0.1111111111111111111
1/9 times 18 =2,
How many 12s are in 2? 4
Answer: 2 times 6 is 12 4 times 3 is 12 so its 6
Answer:
l would think 6
Step-by-step explanation:
Because 12%2 is 6
Hi guys im here for another question
Can you give me the answers?
Hi i'm here to help the answer is 78 please mark me brainliest
-2 1/4 divide by {-3 1/3}
2
Solve the following: +3=19
y= 2
Answer: 128
Step-by-step explanation:
Jill wrote the number 66 If her rule is add 9,what is the fourth number in jills pattern
Answer:
102
Explanation: 66+36 (9 times 4 is 36 and u add it to the 66 because u have to add 9 four times.)
self check
66+9= 75 (1st slot)
75+9=84 (2nd slot)
84+9= 93 (3rd slot)
93+9= 102 (4th and final slot, what u were looking for to begin with)
Which of the following is nat a property of parallelogram
Answer:
The four angles add up to 180° is not a property of parallelogram