Answer:
90% Confidence Interval for difference in Proportion = (-0.106, -0.034)
Step-by-step explanation:
The formula for difference in proportions is given as:
p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2
p = x/n
In a 2017 pre-Hurricane Irma
survey, 486 out of 1,080 adults answered in the affirmative.
x1 = 486
n1 = 1080
p1 = 486/1080 = 0.45
In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.
x2 = 546
n2 = 1050
p2 = 546/1050 = 0.52
Z score for 90% confidence interval = 1.645
Confidence Interval
=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050
= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143
=-0.07 ± 1.645 × √(0.000466881)
= -0.07 ± 1.645 × 0.0216074293
= -0.07 ± 0.0355442212
Confidence Interval
-0.07 - 0.0355442212
= 0.1055442212
Approximately = -0.106
-0.07 + 0.0355442212
= -0.0344557788
Approximately = -0.034
Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)
A and B are two events.
Given that P(A) = 0.2, P(B) = 0.3 and P(A and B) = 0.06
Drag and drop the answers into the boxes to correctly complete the statement.
Events A and B are ? because ?
Answer: Events A and B are independent because P (A l B ) = P(B)
The events A and B are independent because P(A and B) = P(A)×P(B).
What is independent probability?Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
The given parameters are:
P(A) = 0.2
P(B) = 0.3
P(A and B) = 0.06
Two events A and B are independent if
P(A and B) = P(A)×P(B)
Here, we have 0.06 = 0.2 * 0.3
⇒ 0.06 = 0.06
Therefore, the events A and B are independent because P(A and B) = P(A)×P(B).
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DUE IN 20 MINS
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answer:bellow hope I helped most likely c
Step-by-step explanation:
If 2% per year
480 x 1.02 = 489.6 first year
489.6 x 1.02= 499.392. Second year
499.392 x 1.02 = 509.37984 third year
If 2 % per all 3 years
480 x 1.02 = 489.6 all 3 years
If 2 % per each month
480 x 1.02 = 489.6 first month
489.6 x 1.02 = 499.392 second month
499.392 x 1.02 = 509.37984 third month
509.37984 x1.02 = 519.5674368 forth month
519.5674368 x1.02 =529.958785536 fifth month
529.958785536 x 1.02 =540.5579612467 sixth month
540.5579612467 x 1.02 = 551.3691204716 seventh month
551.3691204716 x 1.02 =562.396502881 eigth month
562.396502881xl x1.02 = 573.6444329386 nineth month
573.6444329386 x 1.02 =
585.1173215974 tenth month
585.1173215974 x 1.02= 596.8196680293 11th month
596.8196680293 x 1.02=608.7560613899 12 months (1 year)
608.7560613899 x1.02 = 620.9311826177 1st month 2nd year
620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year
633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year
646.0168023955 x 1.02 =658.9371384434 4th month 2nd year
658.9371384434 x 1.02= 672.1158812123 5th month 2nd year
672.1158812123 x1.02 = 685.5581988365 6th month 2nd year
685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year
699.2693628132 x1.02 =713.2547500695 8th month 2nd year
713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year
727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year
742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year
756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)
772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year
787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year
803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year
819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year
835.6916189634 x 1.02 =852.4054513427 5th month 3rd year
852.4054513427 x1.02 = 869.4535603696 6th month 3rd year
869.4535603696 x 1.02 =886.842631577 7th month 3rd year
886.842631577 x 1.02= 904.5794842085 8th month 3rd year
904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year
922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year
941.1244953706 x1.02 = 959.946985278 11th month 3rd year
959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)
Suppose that P, is invested in a savings account where interest is compounded continuously at 6% per year.
When will the investment double itself?
Answer:
We'll need the attached equation.
We'll use as an example that principal = 100 and total =200.
Years = ln (total/principal) / rate
where "ln" means natural log
Years = ln (200/100) / .06
Years = ln (2) / .06
Years = 0.69314718056 / .06
Years = 11.5524530093
Source: http://www.1728.org/rate2.htm
Step-by-step explanation:
Select the equation written in standard form.
A) x+y=3
B) none of the other answers are correct
C) y=3×+7
D) y+7=×
E)×=2+3y
Answer:
c
Step-by-step explanation:
standard form is y=mx+b
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
x=2, y=8
Step-by-step explanation:
2x+y=12
2(2)+y=12
4+y=12
4+y-4=12-4
y=8
The sum of two numbers is 19 . When the second number is subtracted from the first number, the difference is 17 . Find the two numbers.
What are the two numbers?
Answer:
19 and 2
Step-by-step explanation:
Let x represent the first number and y represents second number
x + y = 19
x - y = 17 add two equations up
2x = 36 divide both sides by 2
x = 19 and since the difference is 17 the other number is 2
solve the riddle for points and crown
Answer:
2/4 is another possible answer.
Step-by-step explanation:
278÷3 in one decimal place
Answer:
92.6! Hope this helps.
Step-by-step explanation:
-lei
help? i need this done by the end of the day
Factor the difference of two perfect squares - 3m^2 - 243 =0
A car at rest accelerates at a constant rate. After 5 seconds, the car's velocity is 80 m/s. What is the acceleration rate? Enter the value only (no units).
Answer:
16
Step-by-step explanation:
I NEED HELP ASAP!!!
If angle MNO = 80, find angle M
If Type your answer as an integer or round to the nearest tenth.
Answer:
Since the triangle we are dealing with is an isosceles triangle if MNO is 80° that means angle <OMN and < NOM are equal. Take 180°- 80°= 100°. Then divide by two to get each angle to get 50°.
Step-by-step explanation:
About integers and rounding off. Oopsie but we don't do it in Kenyan Syllabus. Hope I was helpful✌☺.
Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62
Answer:
44
Step-by-step explanation:
Answer:
The answer is C or 52!!
Step-by-step explanation:
Brainliest Please!
What is the correct answer for each box
Answer:
1) A ; 2) D ; 3)B ; 4)C
Step-by-step explanation:
we can solve every option and see what trinomal result
A (2x-3)(x-3) = 2x^2 -6x-3x +9 = 2x^2-9x+9
B (2x+3)(x-3) = 2x^2 -6x+3x-9 = 2x^2-3x+9
C (2x-3)(x+3) = 2x^2+6x-3x-9 = 2x^2+3x-9
D (2x+3)(x+3) = 2x^2+6x+3x+9 = 2x^2+9x+9
What is the median test score of the data shown in the box plot?
Answer:
75
Step-by-step explanation:
Note the location of the vertical line inside the box. This locates the median. Looking carefully, we see that this line hovers over 75 in the list of test scores.
The median is 75. Look up "median" and "box plot" if you need more information.
How do I write a whole number in standard form
Answer:
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).
Step-by-step explanation:
hope this helps if yes then name brainliest laav :))
BRAINLY TO WHOEVER CAN HELP
Answer:
B: 1/3
Step-by-step explanation:
The original shape is getting bigger so it must be a whole number greater than 1. And the shape is still there so it can't be 0. The only other answer is 3.
97 divided by 17 between what two consecutive whole numbers does the value lie? A: Between 3 and 4 | B: Between 5 and 6 | C: Between 8 and 9 | D: B: Between 4 and 5
Answer:
dez nutz
Step-by-step explanation:
DEZ NUTZZZZZ ACROSS YOUR FACE
Please help
Choose one
Answer:
i would say b
Step-by-step explanation:
pls help!! this is due in like 5 mins :/. (i’ll give u brainiest if u don’t provide a link just pls help me!)
Answer:
B
Step-by-step explanation:
They help support the tree in shallow soil so it does not fall over
Select the correct answer.
Which value of x makes this equation true?
-8(x+5) = -3x - 7+ x-3
Ο Α.
-7)
NIH
ОВ.
= -5
Ос.
= 15
OD.
= 12
For x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is a true equation. Hence, OPTION (B) IS CORRECT.
We have the following equation -
[tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]
We have to find the value of x that makes this equation true.
How can you say that the equation [tex]x^{2} = 2x[/tex] is a true equation at x = 0 and x = 2 ?In order to prove that the equation is true at x = 2 and x = 0, we have to prove that the left hand side of the equation equals the right hand side of the equation, if we substitute 2 or 0 in place of x Solving the equation to find the value of x -
[tex]x^{2} =2x\\x^{2} -2x=0\\[/tex]
x (x - 2) = 0
x = 0 or x - 2 = 0
Test case 1 : for [tex]x = 2[/tex]
[tex]x^{2} =2x\\2^{2} =2 (2)\\4 =4[/tex]
LHS = RHS
Test case 2 : for [tex]x =0[/tex]
[tex]x^{2} =2x[/tex]
[tex]0^{2} = 2(0)[/tex]
[tex]0 = 0[/tex]
LHS = RHS
Hence, the equation [tex]x^{2} = 2x[/tex] is a true equation for [tex]x=0[/tex] and [tex]x=2[/tex]
We can use the similar approach in the equation -
[tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]
to find the value of [tex]x[/tex] for which the equation is true.
-8(x+5) = -3x-7+x-3
-8x-40=-2x-10
-8x+2x = -10+40
-6x = 30
x=-5
Hence, for x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is true equation.
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Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither.
The event of Larry winning the first game and the second game was dependent since it was stated that he won two in a row.
How to depict the probability?It should be noted that dependent events are the events that depend on what happened before.
In this event, the first game is being considered in this situation. Therefore, the event of Larry winning the first game and the second game is dependent.
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PLEASE HELP ASAP ILL GIVE BRAINLIEST
Jean makes $ 10 per hour as a sales associate at Macy's serenity earns $5 per hour plus tips at TGI Friday'srestaurant. One evening, Serenity earned $40 in tips while working between 6 pm and10 pm. Meanwhile Jean was working at Macy's at that time. Explain who earned more by presenting equations
Answer: Serenity made more money.
Step-by-step explanation: She got 40$ in tips- AND she gets 5$ per hour. Four hours went by, (6-10pm) so she gets an additional 20$ dollars, making her the one with more money because Jean made 40$.
Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4
Answer: C)5,5,10
Step-by-step explanation:
Leah gets paid $795 biweekly. What is the recommended monthly rent that she can afford?
I would say since thats $1500+ a month about 600 dollars, because she will have bills and then have to buy food drinks and alot more.
I don't UNDERSTAND THIS PROBLEM PLEASE HELP ME SOLVE IT
Answer:
I don't understand either so I can't help
Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare the Whirlwind with the other racers. What is the Whirlwind's speed in yards per seconds to the nearest tenth?
Answer:
6.8yards/seconds
Step-by-step explanation:
Speed = Distance/Time
Given the following
Distance covered = 1232 yards
Time taken = 180 seconds
Substitute to get the speed
Speed = 1232/180
Speed = 6.84
Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds
Please find the greatest common factor there is a picture
Answer:
500y[tex]^{2}[/tex]
Step-by-step explanation:
Express as a trinomial.
(2x+1)(x+9)
Answer:
2x^2 + 19x + 9
Step-by-step explanation:
Using the FOIL method (ask me via comments if you don't know what it is), we expand it to 2x^2 + 18x + x + 9, then we add like terms, equal to 2x^2 + 19x + 9.
The trinomial expression for (2x + 1)(x + 9) is [tex]2x^2 + 19x + 9[/tex].
To express (2x + 1)(x + 9) as a trinomial, you need to perform the multiplication.
Distribute each term from the first parenthesis to each term in the second parenthesis:
(2x + 1)(x + 9) = 2x * x + 2x * 9 + 1 * x + 1 * 9
Now, simplify the expression:
[tex]= 2x^2 + 18x + x + 9[/tex]
Finally, combine like terms:
[tex]= 2x^2 + 19x + 9[/tex]
So, (2x + 1)(x + 9) expressed as a trinomial is [tex]2x^2 + 19x + 9.[/tex]
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Clear selection
Answer the following:
20 points
The area of a rectangular garden is 168 ft2. The length of the garden is
2 ft greater than the width of the garden. This situation can be
represented by the equation w2 + 2w - 168 = 0.
What is the width of the garden in feet?
Answer:
12ft is the width and 14ft is the length
Step-by-step explanation:
Hope this helps!