Answer:
a. The population
b. The accessible population
c. The sample
d. The statistic
Step-by-step explanation:
a. All the homeowners in the researchers state = The target population
b. The 879 homeowners whose name were obtained = The sample frame (accessible population)
c. The 64 homeowners who returned the questionnaire = Research participants (the sample), the subjects
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled = The statistic (subset or part of the sample)
ellus
Corresponding Angles are congruent.
Which angle corresponds with <3?
42141
4443
«[?]
45 46
47 48
Answer:
<8 corresponds with <3
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Answer:
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
357 people.
281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So
[tex]p = \frac{281+65}{357} = 0.9692[/tex]
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = 1500(1−e−0.02t) lb How long (in minutes) will it take for the tank to be empty after this process has started? min
Answer:
(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]
(b) [tex]t = 0[/tex]
Step-by-step explanation:
Given
[tex]V= 300gal[/tex] --- Volume of tank
[tex]B = 5lb/gal[/tex] --- Brine solution
[tex]R_1 = 3gal/min[/tex] --- Rate in, in gallon/min
[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min
Required
Determine A(t)
First, calculate the rate in (R in) and (R out) in lb/min
[tex]R_{in} = B * R_1[/tex]
[tex]R_{in} = 5lb/gal * 3gal/min[/tex]
[tex]R_{in} = 15lb/min[/tex]
R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2
So, we have:
[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]
[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]
[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]
The change in the amount of brin e in the tank at time t is given as:
[tex]A'(t) = R_{in} - R_{out}[/tex]
[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]
Rewrite:
[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]
Multiply through by dt
[tex]dA = [15 - \frac{A}{100}]* dt[/tex]
Make dt stand alone
[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]
[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]
Express as exponents
[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]
Multiply through by 100
[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]
[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]
[tex]A = 1500 - 100ce^{-0.01t}[/tex]
Apply initial conditions
[tex]A(0) = 0[/tex]
Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]
[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]
[tex]0 = 1500 - 100ce^{0}[/tex]
[tex]0 = 1500 - 100c[/tex]
[tex]100c = 1500[/tex]
[tex]c = 15[/tex]
Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]
[tex]A = 1500 - 100*15e^{-0.01t}[/tex]
[tex]A = 1500 - 1500e^{-0.01t}[/tex]
Factorize:
[tex]A = 1500(1 - e^{-0.01t})[/tex]
How long to empty the tank
Set A to 0
[tex]1500(1 - e^{-0.01t}) = 0[/tex]
Divide through by 1500
[tex]1 - e^{-0.01t} = 0[/tex]
Collect Like Terms
[tex]e^{-0.01t} = 1[/tex]
Take ln of both sides
[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]
[tex]-0.0t = 0[/tex]
[tex]t = 0[/tex]
The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:
P(x) = -2x^2 + 88x - 384
where P(x) is the weekly profit in hundreds of dollars and x is the number of widgets must be produced weekly. How many widgets must be produced weekly for the maximum weekly profit? What is the maximum weekly profit? Find the analytically.
9514 1404 393
Answer:
22 widgets$58,400Step-by-step explanation:
The turning point (maximum or minimum) of quadratic function ...
f(x) = ax² +bx +c
is at x = -b/(2a).
Here, this means the maximum profit will be had when the number of widgets produced weekly is ...
x = -88/(2(-2)) = 22
The profit at that level of production is ...
P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds
22 widgets must be produced weekly for the maximum weekly profit of $58,400.
Select all the expressions with a product equal to 2/3
A. 4/4 x 2/3
B. 2/3 x 2/3
C. 2/3 x 5/6
D. 5/6 x 23
Plssssss help me now I will mark as brainliest if its correct dont send link (It's a virus) and pls explain answer.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)
Answer:
4x+4
Step-by-step explanation:
F[G(x)]
=F(3x+2)
=2(3x+2)-1
=6x+4-1
=6x+3
F[G(x)]-F(x)
=6x+3-(2x-1)
=6x+3-2x+1
=4x+4
in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.
A. On the same line
B. Unequal
C. Imaginary
D. The same point
Answer:
D. The same point
Step-by-step explanation:
An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.
This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.
Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.
the scientific notation, 170.04 is written as
Answer: 1.7004 × 10^2
Step-by-step explanation:
y=5x-22-x+8 y=-20
find x and y show work.
Solve for u.
5u - 15 = 10
Solve for u
|5u-15|=10
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
U =
=
No
solution
D
Answer:
5u-15=10 |+15
5u=25 |:5
u=5
The solution is 25
I hope it helps
have anice day
For a math assignment, Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice.
What is the total number of possible outcomes for each trial?
46,656
0 36
0216
0 7,776
SAVE AND CONTINUE
Answer:36
Step-by-step explanation: 6 sided dice = 6 possible outcomes
6×6=36
The required number of outcomes is 36 after rolling all six dice. Option B is correct.
Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice. the total number of possible outcomes for each trial to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events for a system of the certain events.
For 1 dice, sample space = { 1 2 3 4 5 6}
total possible outcome = 6
Now 6 dice roll at once and the total outcome = 6 * 6
= 36
Meanwhile, Jane has a total of 36 outcomes.
Thus, the required number of outcomes is 36 after rolling all six dice. Option B is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
What is 5/9=14c-5/12
Answer:
c=5/72
Step-by-step explanation:
5/9=14c-5/12
Switch sides
14c-5/12=5/9
Add 5/12 tp both sides
14c-5/12+5/12=5/9+5/12
Simplify;
14c-5/12+5/12
=14c
Simplify;
5/9+5/12
LCM of 9, 12;
36
The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.
Prime factorization of 9;
3*3
Prime factorization of 12;
2*6
=2*2*3
=3*3*2*2
=36
5/9=5*4/9*4=20/36
5/12=5*3/12*3=15/36
=20/36+15/36
20+15/36
=35/36
14c=35/36
14c/14=35/36/14
14c/14=c
35/36*14
=35/504
=5/72
Answer c=5/72
Answer to the following question is as follows;
Value of C = 5 / 72
Step-by-step explanation:
Given:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
Find:
Value of C
Computation:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
By taking 5/12 to LHS Side
[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]
By taking LCM;
[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]
[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]
[tex]\frac{35}{36} = 14c\\\\[/tex]
By transfer 14 to LHS side
[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]
[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]
[tex]\frac{5}{72} = c\\\\[/tex]
Value of C = 5 / 72
Learn more;
https://brainly.com/question/21481562?referrer=searchResults
What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!
Answer:
Step-by-step explanation:
Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards
Volume = 96 × 2 = 19.2 cubic yards
Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter
Answer:
angle 7
Step-by-step explanation:
Answer:
angle 7 angle forms a pair of alternate
exterior angles with angle 2.
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answer:
1.5x-y=6
x-y=5+6
x-y=11
2.x + 6y =4
x+y=6-4
X+y=2
xy=2
SORRY THE WRONG
Step-by-step explanation:
FROM INDONESIAN
the first two terms of an arithmetic sequences are 7 and 3.
1.1.1 determine the eighteen term.
1.1.2 which term of the sequences Will be equal to -157?
Answer:
1.1.1) -61
1.1.2) Term 42
Step-by-step explanation:
Tn= dn (difference) + t0 (term 0)
Tn= -4n+ 11
You can now take this general rule to find out the other terms.
Tn= -4(18)+11
Tn= -61
And the term -157
Tn= -4n+11
-157= -4n + 11
-157 - 11= - 4n
-168= -4n
-168/-4= n
42= n
A pie recipe calls for you to use a cup of milk, 2 cup of oil, and 2 cup of water. How much liquid do you
need to make the pie?
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
100 BRAINLY POINTS
f(x)=18,000(.88)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step
Answer:
After 17 years and 3 monthsStep-by-step explanation:
Given function:
f(x)=18000(0.88)^xWe are looking for the value of x at f(x) < 2000
Solve the equation:
2000 = 18000(0.88)^x(0.88)^x = 2000/18000(0.88)^x = 0.1111log (0.88)^x = log 0.1111x = log 0.1111 / log 0.88x = 17.18After 17 years and 3 months the car value drops below $2,000
Put f(x)=2000 and solve
2000=18000(0.88)^x2=18(0.88)^x1/9=(0.88)^xln(0.111)=xln0.88x=ln(0.111)/ln0.88x=17.18Atleast 18 years
You will recieve in 18the year going on
Use mental math to simplify.
(4.55 + 27) + 5.45
Answer:
31.55+5.45
Step-by-step explanation:
4.55+27 would go to 31.55
31.55+5.45
Answer: 37
Step-by-step explanation:
4.55 + 27 = 31.55
31.55 + 5.45 = 37
Stem and leaf diagram
Is 12/8 less than, equal to, or greater than 11/6?
Answer:
it's less than
Step-by-step explanation:
12/8 simplified is 3/2
11/6 cannot be further simplified
3/2<11/6
Six years ago a man's age was six times the age of his son. Four years hence, thrice his age will be equal to eight times his son's age. find their percent ages.
Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!
Can some one help me 2⅛-1⅜
Answer:
6 / 8 or 3 / 4
Step-by-step explanation:
Subtraction lol
what is the x in x/2=7
Answer:
14
Step-by-step explanation:
7x2=14
Answer:
14
Step-by-step explanation:
x/2=7 multiply 2 on both sides x=14
Mark multiplied a number by itself. He found a
product of 30. What is the number, rounded to the
nearest tenth?
A. 4.5
B. 5.4
C.5.5
D. 15.0
Answer:
5.5×5.5=30.5
we rounded 30.25 in nearest tenth it becomes 30
Answer:
C.] 5.5
Step-by-step explanation:
It is mentioned that the number was multiplied by the number itself.
Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:
x × x = 30
[tex]x^{2}[/tex] = 30
x = [tex]\sqrt{30}[/tex]
x = 5.47 = 5.5 (to the nearest tenth)
HELP!!!!!
The net of a rectangular prism and its dimensions are
shown in the diagram.
What is the total surface area of the rectangular prism in
square inches?
Answer:
C. 245.5
Step-by-step explanation:
(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)
= 245.5
Answer:
its 245.5
Step-by-step explanation:
can someone help me with this? all of the info is in the pic
Answer:
there is no pic -_-
Step-by-step explanation:
help will give brainliest
Answer:
B
Step-by-step explanation:
2/5 is equal to 40 percent
This one please help out
Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa