Answers
Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:
222 + 10x = 148 + 12x
Subtract 10x from both sides:
222 = 148 + 2x
Subtract 148 from both sides
74 = 2x
Divide both sides by 2
X = 37
Answer: 37 weeks
Related Questions
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Answers
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
WILL GIVE 100PTS
Find the slope of a line that passes through (-2, -3) and (1, 1).
A. 1 /3
B. 1
C. 2
D. 4/3
Answers
Answer:
D
Step-by-step explanation:
Y2-Y1/x2-x-1
Answer:
D
Step-by-step explanation:
Formula for slope is (y2-y1)/(x2-x1).
(1-(-3))/(1-(-2)) = 4/3
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answers
The equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
For line s, using the points: (-5, 4) and (4, 22). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{22-4}{4-(-5)} (x-(-5))\\\\y-4=2(x+5)\\\\ y=2x+14[/tex]
Line T passes through the points (-4, 14) and (5, -4). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-14=\frac{-4-14}{5-(-4)} (x-(-4))\\\\y-14=-2(x+4)\\\\ y=-2x+6[/tex]
Hence the equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.
Find out more at: https://brainly.com/question/13911928
Micah earns 2 points for every 3 questions he answers correctly on a test. If he answered 24 questions correctly, how many points did he earn?
Answers
Answer:
16 points.
Step-by-step explanation:
24*2/3 = 16.
Hope this helped!
*Sorry if I'm wrong, though I think I'm correct.*
Enjoy the rest of your day.
Answer:16
Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.
Please I need help fast
Answers
Answer:
55
Step-by-step explanation:
Combine both bases (15+7 = 22)
Divide by 2 (22/2 = 11)
Multiply by height (11 x 5 = 55)
1.7 6/5
2.4 25/25
3.28/3
what is the lowest term?
Answers
Answer:
3.
[tex] \frac{28}{3} [/tex]
Step-by-step explanation:
number 1 equals 8 1/5
number 2 equals 5
number 3 equals 9 1/3
A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.
Answers
Help me with this pls
Answers
Answer:
Step-by-step explanation:
Find the slope of the line that contains the following pair of points:
(4,-5) and (-1, -3).
Answers
Step-by-step explanation:
slope is y2-y1/x2-x1
-3-4=-7
-1-4=-5
now that you have -7/-5, or negative seven fifths, simplify.
you get -0.4, or -2/5 as your slope
Hope this helps!!
please answer fully ?/'//////////////////////
Answers
Answer:
17.5
Step-by-step explanation:
i solved it and got that answer. hope this helps =)
what the estimated quotient for the following problem?
343.23 divdend by 18
Answers
Answer:
Step-by-step explanation:
17
343.23 /18 is 19.0683333333
so the closest number to that is 17, if not try 23!
lin ran 4 laps around the track in 5 minutes, if lin ran 21 laps, how long does it take her
Answers
Answer:
26 1/4 minutes or 1635 seconds
Step-by-step explanation:
Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.
Find the value of x and y.
(In picture)
Answers
Answer:
x is 4, and y is 3
Step-by-step explanation:
Three times eight M equals fourteen. Which of the following equations represents this statement?
Answers
Answer:
3x8m= 14 is the equation that matches the description.
Step-by-step explanation:
It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.
OMG HELP RN
Sarah climbed 3,600 feet of the way up Pikes Peak and then stopped to rest. After she stops, she continues to climb at a rate of 85 feet per hour for h hours. Which expression indicates her elevation, in feet, h hours after she stops?
A.
3,600 ÷ 85 × h
B.
3,600 + 85 × h
C.
(3,600 + 85) ÷ h
D.
3,600 - 85 × h
Answers
Answer: the answer is d hope this helps if not i'm sorry
The temperature at the North Pole averages -36࿁F. This past winter, the temperature averaged -47࿁F. Write a correct statement that compares the absolute values of the two temperatures
Answers
Comparing the temperature average, it can be concluded that the current average temperature is higher than the past average by 11°F
The temperature difference between the present and past winter can be expressed thus :
Current temperature average = - 36°F Past average = - 47°FTemperature difference :
-36 - (-47) = 11°FTherefore, we can conclude that the current average temperature is higher than the past average by 11°F
Learn more : https://brainly.com/question/17225268
show your solution and answer the 4 questions.
Answers
Answer:
Step-by-step explanation:
1. When the number of kilograms of paper is doubled, the points will be doubled
2. 300÷ 5 = 60
They have to collect 60 Kg of papers to earn 300 points.
3) P = 5*n
P = 5n
4) We are not only reducing the waste, the collected paper can be reused or can be sent to recycling centers.
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Answers
35.00% increase
Explanation:
[(New value - Old value)/Old value] x 100 = answer
Hope this helps in the future
Help help help help help help
Answers
Answer:
Step-by-step explanation:
A' = (-1 + 4, 2 + 6) = (3, 8)
B' = (-2 + 4, -3 + 6) = (2, 3)
A' = (-5 + 4, -1 + 6) = (-1, 5)
If you see this can you answer this question.
Answers
Answer:
The last one
Step-by-step explanation:
-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side
please help me
what is
28a+84b+92c=
Answers
= 28b+84b+92c
=(28b+84b)+(92c)
=112b+92c
Answer = 112b+92c
Add 10% of 300 to 50% of 20
Answers
Answer:
40
Step-by-step explanation:
10% of 300 = 300/10 = 30
50% of 20 = 20/2 = 10
30+10=40
Janelys buys milk and apples at the store.
• She pays a total of $41.22.
• She pays a total of $3.22 for the milk.
• She buys 8 bags of apples that each cost the same amount.
.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Answers
Answer:
Each bag costs $4.75
Step-by-step explanation:
41.22 = 3.22 + 8x
38 = 8x
4.75 = x
PLS HELP ASAP IM TAKING AN RXAM!!! 40 POINTS!!!!!!
Using data from the Internet, we've compiled a list of Presidents of the United States through 2012 to show party affiliations and ages during office. You completed a frequency table and bar graph using this data. The bar graph is shown below. Describe what you can say about this bar graph given the data and the graph.
Answers
The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.
What is a bar graph?A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents
it's class width or an interval.
The height given bar graph represents no. of years each president lasted
and the width of the bar graph represents the Presidents of the United States.
R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.
learn more about bar graphs here :
https://brainly.com/question/13298277
#SPJ1
Helpppppppppppppppppppppppppppp
Answers
Answer:
look at the photo...............f(x)=ax^2 +bx +c solve: heigh 275 width 290
Answers
Answer:
800 i think
Step-by-step explanation:
I need some help it is to early for my brain to work
Answers
Answer:
5 minimum 32 maximum
Step-by-step explanation:
Evaluate the triple integral.
E
y dV, where E = {(x, y, z) | 0 ≤ x ≤ 6, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
Answers
The definition of the set E gives you a natural choice for the limits in the integral:
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]
Computing the integral, we get
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]
The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
What is triple integral?Triple integral integrates the integrand over three dimensions.
Given that:
E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
Evaluating the integral:
[tex]I = \int \int \int _E y \: dV[/tex]
[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]
Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
Learn more about triple integral here:
https://brainly.com/question/17206296
geomtry plz help me 15 pointz
Answers
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
m∠R=76º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(2x+2)+(3x+1)+(2x+2)=180
Remove parentheses.
2x+2+3x+1+2x+2=180
Collect like terms.
7x+2+1+2=180
Add.
7x+5=180
Subtract 5 from both sides of the equation.
7x=175
Divide 7 from both sides of the equation.
x=25
m∠R=(3x+1)º
3x25+1=76º
m∠R=76º
Hope this helps :)
Evaluate. (w^2/x -3) ÷10 × z when w= -4, x = 0.8, and z = -4/5 Enter your answer as a simplified mixed number in the box.
Answers
Answer:
-1.36
Step-by-step explanation:
(-4^2/0.8-3)/10×-4/5=-1.36