Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
[tex](x + 2)(3x - ) = 0[/tex]
Answer:
∝∦⊄↑∫∫π≡³≥α㏑∩⊃∞
Step-by-step explanation:
Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.
Answer:
All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.
Step-by-step explanation:
Let's find the volume of each design.
For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.
Therefore, the area of the cross section is:
[tex]A_1=3(2)=6\text{ cm}^2[/tex]
Since the height is 10 cm, the total volume of Design A is:
[tex]V_1=10(6)=60\text{ cm}^2[/tex]
For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.
So, the area of the cross section is:
[tex]A_2=3(2)=6\text{ cm}^2[/tex]
And the height is still 10 cm. So, the total volume of Design B is:
[tex]V_2=6(10)=60\text{ cm}^3[/tex]
Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.
For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.
So, the area of the cross section is:
[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]
And since the height is 10 cm, the volume of Design C is:
[tex]V_3=6(10)=60\text{ cm}^3[/tex]
Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.
Work out
25
% of
401.16
m
Answer:
100.29m
Step-by-step explanation:
Which of the following are possible answers you might get when solving a system of equations? Select all that apply
A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions
What is the value of X in the equation -6+ X equals -2
1) 8
2) 4
3) -4
4) -8
2) 4
Hope this helps :T
PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
Help please due in 45 minutes!!!
Answer:
x=8
y=1
the point would be at (8,1)
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
Simplify. Please help.
Answer:
I believe it is B
Step-by-step explanation:
if correct pls mark brainliest
Answer:
4^8
Step-by-step explanation:
When multiplying powers, keep the base the same and add the exponents.
4^6 x 4^2 = 4^8
SOMEONE PLEASE help me answer this
Answer:
5.7 m is the answer
Step-by-step explanation:
a = 7m
b = ?
c = 9m
According to the Pythagorean theorem,
a² + b² = c²
7² + b² = 9²
49 + b² = 81
b² = 81 - 49
b² = 32
b = 5.656
Round to the nearest tenth,
b = 5.7 m
Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?
835.71$
Step-by-step explanation:
is the answer just done it
Sara is making a key chain using the bead design shown.
What fraction of the beads in her design are either red or blue?
pcagm15g560619
A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P. Participants will be randomly assigned to one of two groups. One group will take pill N when they experience a headache, and the other group will take pill P when they experience a headache. Each participant will record the number of minutes it takes until relief from the headache is felt. The mean number of minutes will be calculated for each group. Which of the following is the appropriate test for the study?
a. A two-sample z-test for a difference between population proportions.
b. A two-sample t-test for a difference between population means.
c. A matched-pairs t-test for a mean difference.
d. A one-sample z-test for a population proportion
e. A one-sample t-test for a population mean
Answer:
b. TWO SAMPLE T TEST FOR POPULATION MEANS
Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN
girlcome 5324611502
p:here
Answer:
what
Step-by-step explanation:
Answer:
im confused
Step-by-step explanation:
ASAP PLEASE HELP!!! How many cubic feet of sand will fill a sandbox with the following dimensions: 6 ft long x .5 ft high x 5 ft wide?
Answer:
15ft³
Step-by-step explanation:
Which of the following is equivalent to the expression?
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
Help me who here is a master at math I need your help !!
Answer:
88.4ft²
Step-by-step explanation:
oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:
So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:
10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)
So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):
6 x 5.2 ÷ 2 = 15.6
So the area is 15.6ft
Now let's do the triangles under the trapezoid:
So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:
18 - 6 = 12
and we're going to assume that both the triangles are equal:
12 ÷ 2 = 6
6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them
15.6 x 2 = 31.2
So the area of the triangles under the trapezoid is 31.2ft
Now, the trapezoid:
so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:
4 + 12 = 16
16 x 5.2 = 83.2
83.2 ÷ 2 = 41.6
So the trapezoid is 41.6ft
Now we add all of our disgustingness together:
15.6 + 31.2 + 41.6 = 88.4
So, the area of the entire garden is 88.4ft²
hope this helps:)
3 Ms. Sosa's principal gave her $350 to spend on school supplies at the beginning of the year. She bought 10 packs of dry erase markers for $9.98 each and 15 packs of pre-sharpened pencils that cost \$12.99 each . How much does she have left to spend?
A $302.03
B $644.65
C $55.35
D $295.65
Answer:The answer is D
Step-by-step explanation: Mark me brainliest please
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,
Answer: the fountain is located at point (-1,-0.5)
Step-by-step explanation:
Answer: (-1 , -0.5)
Step-by-step explanation:
someone pls help me, i will mark brainliest(no links)
please help!!!!!!!!!!!!
Answer:
h = 2 ft
Step-by-step explanation:
V = lwh
144 = (9)*(8)*(h)
144 = (72)*h
h = 144/72
h = 2 ft
help please i genuinely cant
Answer:
Part A: 3x + 36 = 180
Part B: x = 48
Step-by-step explanation:
A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:
3x + 36 = 180
Solve the equation:
3x + 36 = 180
Subtract 36 from both sides
3x = 144
Divide both sides by 3 to isolate the variable
x = 48
Check your work:
3(48) + 36 = 180
144 + 36 = 180
180 = 180
Correct
Mr. Dorsey and his family are going on a road trip for their family vacation. It will take them 300 total miles. After the first 3 days, they have driven 180 miles. What percent of the driving distance is left after the first 3 days?
Step 1 - How many miles do they have left to drive? ______________
Step 2 - Find the percent this is equal to.
____________ = ______________
100
giving brainly out
Find the value of x in the triangle shown below.
Witch value of x makes this equation true 2(2x - 4) + 4=12
A) 3
B) 4
C) 5
D) 6
Answer:
X=4
Step-by-step explanation:
2(2x-4)+4=12
4x-8+4=12
4x-4=12
4x-4+4=12+4
4x=16
x=4
In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?
Answer:
32 homes
Step-by-step explanation:
To get the amount of homes with a pool, simply do
HOMES * 0.40
So 80x0.4 = 32 homes with a pool
Victoria has a jewelry box shaped like a rectangular prism! Please help!!
Answer:
C.
Step-by-step explanation:
Length * width * height = volume
15*9*9 = 1215
b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.
Submit
Answer:
no it doesn't as no is variable.
the sum of two consecutive odd number is 108. find the smaller number
9514 1404 393
Answer:
53
Step-by-step explanation:
Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.
The smaller number is 53.
Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.
Answer:
n = 110
Step-by-step explanation:
Margin of Error :
Zcritical * s/ sqrt(n)
s = standard deviation = 4
Margin of Error = ±0.75
Zcritical at 95% level of confidence = 1.96
Margin of Error = Zcritical * s/ sqrt(n)
0.75 = 1.96 * 4 / sqrt(n)
0.75 = 7.84 / sqrt(n)
Take the square of both sides
0.5625 = 61.4656 / n
0.5625 * n = 61.4656
0.5625 = 61.4656
n = 61.4656 / 0.5625
n = 109.27217
About 110 samples