Let the daily rate of each associate, A = $700
And the daily rate of each partner, P = $1700
Let the total number of individuals involved in the case = NT
Total number of partners = NP
Total number of associates = NA
NP + NA = NT -------- (i)
From the question; NP - NA = 4 -------- (ii)
From (i), NA = NT - NP
Substitute in (ii) as: NP - (NT - NP) = 4
Therefore, 2NP - NT = 4.
And NP = 2 + (NT/2) --------- (iii)
Substitute for NP in (i) above: NT = NA + 2 + (NT/2)
Therefore, NT - (NT/2) - 2 = NA.
NA = (NT/2) - 2 ---------- (iv)
Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.
Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)
To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.
Solve for NT and then use the value to find NP and NA.
NT = 16
NP = 10
NA = 6
Notice that 10 - 6 = 4. Q.E.D
Hope this helps.
Answer:
p=a+4
Step-by-step explain:
Let a=the number of associates designated
let p=the number of partners designated
Write System of Equations:
700a+1700p=21200
If d stands for the diameter of a circle and r stands for the radius of a circle, then:
A d = 2r
B = 2d
O c d = 3. 141
D. = 3.140
O E. d= 72
PLEASE HURRY!
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. Twenty-five runners will receive a pair of the new model and the remaining 25 will receive a pair of the current model. After one month, the wear on the shoes will be determined using the depth of the tread and the flexibility of the toe box. The wear between the new and current models will then be compared.
Which of the following describes a completely randomized design for this experiment?
The subjects are numbered 1–50 and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the current model.
The subjects’ names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be assigned to the current model group.
The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, the first runner will receive the new model and the second runner will receive the original model.
The 50 subjects are grouped based on running ability. Twenty runners classify themselves as competitive runners and the remaining 30 classify themselves as recreational runners. For the competitive group, the runners’ names are written on equal-sized slips of paper and placed into a hat. The slips are shuffled, and the first 10 runners wear the new model and the other 10 wear the current model. The same procedure is used to assign the shoes to the recreational group.
Answer:
Option A: The subjects are numbered 1–50 and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the current model.
Step-by-step explanation:
We are told that Twenty - five runners will receive a pair of the new model and the remaining 25 will receive a pair of the current model.
Now, a completely randomized design is defined as one where the treatments will be assigned completely at random in such a manner that each experimental unit will posses the same chance of receiving any of the treatments given.
To this effect, the most likely answer will be picking people at random to assign either the new model or current model.
This is usually done by making a list of the treatment combinations and then assigning a random number to each subject.
Looking at the options, the most appropriate will be option A.
Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%
Answer:
32% Decrease
Step-by-step explanation:
93 = x * 135 (divide both sides by 135 to get X alone.)
x=0.68 - Repeated (This tells us that it was paid 68% of the OG price.)
1 - 0.68 = 0.32 (We need to subtract the percent paid from the OG price to find the percent discount.)
The percent decrease was 32% off.
None of your answer choices are right!
What inequality is represented by this number line?
x > -4
x ≤ -4
x < -4
x ≥ -4
Im having difficulty with these problems. Can someone please help me out?
1) Solve 2cos x=1
2) Solve: tan x -2sin x tan x=0
3) Solve: cos (2x)= -3^(1/2)/2
Answer:
x=60° or 300°
Step-by-step explanation:
2cosx=1
cosx=1/2
cosx=cos60°,cos(360-60)°
cosx=cos60,cos300
either,
cosx=cos60
x=60
or,
cosx=cos300
x=300
Which expressions are equivalent to -6(6 + 2) + 8?
Choose all answers that apply:
A
-66 + 2 +8
B
- 66 - 4
None of the above
Answer:
None of the above
Step-by-step explanation: -6(6+2) + 8 = -40 so -66 + 2 +8 = 56 and -66 - 4 = 70
utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
PLEASE HELP!!!!!! I AM BEING TIMED!!!!
A garden hose fills a 2 gallon bucket in five seconds the number of gallons G is the proportional to the number of seconds T that the water is running select all the equations that represent the relationship between G and T
Answer:
A and E
Step-by-step explanation:
um for some reason my answer was deleted…
anyways, I think its A and E because the equation should be g = 2/5t and 0.4 is equal to 2/5 so that means that E is also correct.
The two-way table shows the number of books of each type in Eliza’s home.
A 5-column table has 3 rows. The first column has entries hardcover, paperback, total. The second column is labeled Fiction with entries 28, 4, 32. The third column is labeled biographies with entries 2, 1, 3. The fourth column is labeled Reference with entries 10, 15, 25. The fifth column is labeled Total with entries 40, 20, 60.
What is the probability that a randomly selected reference book is hardcover?
0.25
0.4
0.6
0.75
The probability that a randomly selected reference book is hardcover is 0.4.
The two-way table depicts the distribution of books in Eliza's home by type (hardcover, paperback, biographies, fiction, and reference), as well as the number of books in each category (32 fiction books, 3 biographies, and 25 reference books).
There are a total of 25 reference books, of which 10 are hardcover.
So the probability that a randomly selected reference book is hardcover is:
10/25 = 0.4
Therefore, the probability is: 0.4.
For more details regarding probability, visit:
https://brainly.com/question/30034780
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MERYY CHRISTMAS!PLEASE HELP! I need help I will give brainlist
1. Write an equation of a line that has a slope of "negative one-half" in each
form: a) point-slope form b) slope-intercept form.
2. Describe how linear data given in a table can help you write an equation of
a line in slope-intercept form.
0.2(3a + 6b) use distributive property
Answer:
0.6 a + 1.2 b
Step-by-step explanation:
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
48
Step-by-step explanation:
Hi!
Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.
Now, let's label the angles of the given triangle.
<DCE = y and <CDE=x
x+y+92=180
x+y= 88
Now, y+140 = 180 --> y= 40
x+40 = 88
x=48
The answer is 48 degrees.
Hope this is correct! Have a good day!
(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ateach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket?
(B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?
Answer:
0.27
0.1111111
Step-by-step explanation:
Given that:
X :
L1 = 40% = 0.4
L2 = 30% = 0.3
L3 = 20% = 0.2
L4 = 30% = 0.3
P(x) :
L1 = 0.2
L2 = 0.1
L3 = 0.5
L4 = 0.2
A.)
Σ(X * p(x))
(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27
B.) Radartrap located at L2:
P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))
= (0.1 * 0.3) / 0.27
= 0.1111111
mjkjnkj nkbjhbjhbhjbjh?
Answer:
huh?
Step-by-step explanation:
Reba got home from school at 2:55 P.M. and played video games for 1 hour and 20 minutes. Then, it took her 1 hour and 35 minutes to finish her homework. What time was it when Reba finished her homework?
Include A.M. or P.M. in your answer Please help me fast!!!
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
You bike 11.2 miles in 1.4 hours at a steady rate what equation represents to proportional relationship between the X ours your bike in the distance y in miles that you travel
Please don't just copy and paste or click an answer! PLEASE READ! I spend 14 minutes and I at least want you to read it!
11.2 * 1.4 = 15.68
Mark me brainliest if you can!
I have a 72 in math. And I’m trying to bring it up. So if you know ANY of these PLEASE answer. I really appreciate it!
Answer:
12
Step-by-step explanation:
For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.
Ms. Harmon is a teacher with 28 students. Every school day, Ms. Harmon prints out 2 pages of worksheets for each of them. There are 81 school days left in this school year. Ms. Harmon works out that she will need to print a total of 137 pages in this time. Does that sound about right?
Yes
No it is much low
No it is much high
Answer:
No, it is much too low.
Step-by-step explanation:
28 students x 2 papers per day x 81 days = 4,536 pages
fill in the blanks polynomials
Step-by-step explanation:
2 degrees
1 terms..
hope it helps you...
take care buddy....
idk what this answer would be help please!
which number is an integers
-3/4
1/5
2
42/3
Which statement is correct?
Α. ΔΑGT = ΔQΜΕ
Β. ΔTAG = ΔΕΜW
C. ΔGTA = ΔQΜΕ
D. ΔΑGT = ΔΜΕΟ
Answer:
C
Step-by-step explanation:
We already know the triangles are congruent because all of the sides of one triangle correspond directly with another. Then, this is a problem of correct labling. GTA goes from point G (top) to T (bottom) to A (left). If we rotate the triangle MEQ, it is laid out in the same way: point Q (top) to point M (bottom) to point E (left or right).
Our correct answer is GTA = QME
Helpppppppppp meeeee ASAP
option c is the answer....
helppppp nowwwwwww plsss
Answer:
c!
Step-by-step explanation:
good luck! :)
Assume that you have a sample of n1=9, with the sample mean X1=46, and a sample standard deviation of S1=4, and you have an independent sample of n2=12 from another population with a sample mean of X2=31 and the sample standard deviation S2=5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing H0: μ1=μ2? tSTAT=nothing (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? nothing degrees of freedom (Simplify your answer.) c. Using a significance level of α=0.1, what is the critical value for a one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is nothing. (Round to two decimal places as needed.) d. What is your statistical decision? A. Reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value. B. Reject H0 because the computed tSTAT test statistic is less than the upper-tail critical value. C. Do not reject H0 because the computed tSTAT test statistic is less than the upper-tail critical value. D. Do not reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value.
Answer:
a. t`= 7.63
b.υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 18.885 ≈19 The degrees of freedom is always rounded in this calculation.
c. The critical region for one tailed test for alpha= 0.1 and 19 degrees of freedom is 1.328= 1.33
The critical region is ║t║` ≥ t 0.05,19 = 1.729= 1.73
A. Reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value
Step-by-step explanation:
Answer:
Step-by-step explanation:
We state our null and alternative hypothesis as
H0: μ1=μ2 against Ha: μ1 ≠ μ2
The level of significance is α=0.1
Since the population have unequal variances , the test statistic if H0 is true ,is
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
which has approximately a t- distribution with υ degrees of freedom where
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
Computations:
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
t`= 46-31/ √4²/9 + 5²/12
t`= 15/√16/9 +25/12
t`= 15/ √64+75/36
t`=15/1.9649
t`=7.6339
t`= 7.63
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [139/36]²/ (16/9)²/8 +(25/12)²/11
= 14.91/ 0.395 + 0.395
= 18.885
≈19 The degrees of freedom is always rounded in this calculation.
The critical region is ║t`║≥ t 0.05,19 = 1.729
Since the calculated value of t` falls in the critical region we reject our null hypothesis of equal means.
A Hulu subscription cost $55 a month. If 5 people wanted to split this cost each month how much would eat person pay ?
Answer:
each person would pay $11
Step-by-step explanation:
u have to do 55 divided by 5 and that would give you the $11
Answer: 11
Step-by-step explanation: 55/5=11
You deposit $6000 in and account earning 2% interest compounded monthly How much will you have in the account in 10 years
Answer:
14400 $. do u need an explanation:
so if 6000 is 100 percent
then ??? is 2 percent
to find out that you need to 6000×2 and divide by 2=120$
so you get this monthly.
in ten years you will have 14400 because
10 year=120 month
120month×120$=14400.
btw I cant speak English well. I hope it will help
The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does the gym have
Let [tex]b[/tex] be the number of baseball and [tex]k[/tex] be the number of basket ball.
We have the following system:
[tex]\begin{cases}b=4k\\b+k=25\end{cases}[/tex]
Substitute the first equation into the second:
[tex]4k+k=25 \iff 5k=25 \iff k=5[/tex]
which yields
[tex]b=4k=4\cdot 5 = 20[/tex]
So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.
Laura had 32 dollar off coupons for mini golf course but every buddy else had to pay nine dollars per person the full price what was the total cost of their group of eight to play mini golf
