Answer:
98% C.I. = [-0.1270, 0.0994]
Step-by-step explanation:
Here
p1= proportion of men smokers
p1= 45/175= 0.2571
p2= proportion of women smokers
p2= 42/155= 0.2709
1) Choose the significance level ∝= 0.02
2) The formula for confidence interval is
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
and
(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
3) The z value is 2.05
4) Calculations:
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=-0.1270 ( using calculator)
And
(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=0.0994 ( using calculator)
and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)
Laura borrowed $48,000 at a 6% interest rate for 6 years. what was the total interest?
Answer:
$17,280
Step-by-step explanation:
Formula:
I = Prt
Given:
P = 48000
r = 0.06
t = 6
Work:
I = (48000)(0.06)(6)
I = 17280
What is the scale factor?
find the value of given expression
[tex] \sqrt{8100} [/tex]
Answer:
90 is the answers for the question
What is the theme of the poem Caged Bird Give a brief summary of the poem . Explain what poetic devices are. Provide historical context relating to the poem
Answer:
The theme of "Caged Bird" is lack of freedom.
"Caged Bird" is an extended metaphor that is comparing the African-American community to other privileged people.
I think of a number I double it and subract two I get nine
Answer:
5.5
Step-by-step explanation:
Let [tex]x[/tex] be equal to the number.
1) Convert the clues into an equation
If you double it ([tex]2x[/tex]) and subtract two ([tex]-2[/tex]), you get 9 ([tex]=9[/tex]).
[tex]2x-2=9[/tex]
2) Solve the equation
[tex]2x-2=9[/tex]
Add 2 to both sides
[tex]2x-2+2=9+2\\2x=11[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{11}{2} \\x=5.5[/tex]
Therefore, the number is 5.5.
I hope this helps!
Do all circles have all right angles?
Yes or no
Answer:
They do
Step-by-step explanation:
Both have 4 90 degree (right) angles.
A triangle has 3 sides and 3 angles. The angles of a triangle always add up to 180 degrees.The “angle” of a circle is 360 degrees – all the way around.
Hope this helps (Sometimes i think circles don't have any angles at all)
find the length of x
urgent pls help.
Answer:
Step-by-step explanation:
the triangles are congruent and the factor is 1/2
x=8/2=4
Edgar and his older sisters, Diana and Katy, are going to visit their grandmother. Edgar is too young to drive, so Diana and Katy each drive the same amount of time to complete the 5-hour trip. How long does each of Edgar's sisters drive?
Answer:
2.3 hours or 2 hours and 30 minutes thinkkk
Can someone help me please
Answer:
first draw a line that goes through (0,-5) and (1,-4) and then another one that goes through (3,-2) and (0,-1)
Someone please please help
Answer:
The amount of apples is the Xs and The cost is the Ys
Step-by-step explanation:
The cost of a car rental is $35 per day plus 21 cents per mile. You are on a daily budget of $98. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.
Answer:300
Step-by-step explanation:
Pls help I don’t understand
Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.
What does 602.93+9.5%=
Rewrite the equation of the line 5y = -1/4x - 6 in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C
Given
5y = - [tex]\frac{1}{4}[/tex] x - 6 ( multiply through by 4 to clear the fraction )
20y = - x - 24 ( add x to both sides )
x + 20y = - 24 → D
The line L1, is y= 5x+1
The line L2, is 2y-10 +3=0
Show how these 2 lines are parallel
Answer:
Step-by-step explanation:
L₁: y = 5x + 1
Slope of L₁ = 5
L₂: Did you mean 2y - 10x +3 = 0 ?
2y = 10x - 3
y = 5x - 1.5
Slope of L₂ = 5
L₁ and L₂ have the same slope, so the lines are parallel.
What is the equivalent numerical value of the expression 2−4×27
Please help me solve these exponents
What is the Pythagorean Theorem
Answer:
see below
Step-by-step explanation:
The Pythagorean theorem is for right triangles. It uses the two legs and the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Answer:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
Question 13 (1 point)
(07.05 MC)
What is the solution to the equation 4x + 2(x - 2) = 4x + x - 12? (1 point)
O 1) -8
2) -1
3) 1
04) 8
Answer:
-8
Step-by-step explanation:
4x+2(x-2)=4x+x-12
4x+2x-4=5x-12
6x+2x-4=5x-12
x-4=-12
x=-8
Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.
Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For the first two years, the parameters are given as follows:
P = 6600, r = 0.03, n = 1, t = 2.
Hence the amount is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]
A(2) = 7002.
For the final 6 years, the parameters are:
P = 7002, r = 0.01, n = 1, t = 6.
Hence the amount after 8 years is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]
A(6) = 7433.
Freddie will have £7433 in his account in 8 years.
More can be learned about compound interest at https://brainly.com/question/25781328
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Type the expression that results from the following series of steps:
Start with y, add 7, multiply by 3, then subtract 6.
Answer:
3y-4
Step-by-step explanation:
y+7×3-3
(y×3)+7-3
3y-4
A recipe for banana bread calls for 4 bananas for every 8 cups of sugar. What is the ratio of bananas to cups of sugar
Answer:
1:2 is the ratio
Step-by-step explanation:
Please answer!!!!!!
Answer:
(this isnt a mathematics question, it's science, btw)
Indeed, you are correct. It is 1. I think.
Because you get one allele from each parent, to make up 2 alleles per offspring.
Hope that helps!
The graphs of linear functions f and g are shown on the grid below.
Which function is best represented by the graph of g?
Answer: g(x)=3f(x)
Step-by-step explanation:
So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.
I hope this helps!
The diagonals in a kite __________.
a) bisect each other
b) are perpendicular
c) are congruent
⇒
ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?
Answer:
Ramon would need 27 bags
Step-by-step explanation:
This is because if you divide 6.75 by 0.25 you would get 27
Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.
Total weight of coffee = 6.75 kg
Weight of each bag = 0.25 kg
Number of bags = Total weight of coffee / Weight of each bag
Number of bags = 6.75 kg / 0.25 kg
Calculating this division, we find:
Number of bags = 27
Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
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Find the length of side x.
Give your answer to 1 decimal place.
105°
18 cm
15 cm
Х
Please choose how many solutions there are to this system:
(The problem is solved, but I don't know how many solutions there are. Also, please do not add a link, I cannot access them!)
Since the square root of a negative number isn't a real number, this problem has no real solutions. The answer is [There are no real solutions to the system]
Write the equation for each circle with the given radius and center.
5. radius: 2, center: (4, -3)
6. radius: 7, center: (-1, 10)
Answer:
Step-by-step explanation:
Equation of a circle is
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex] where (h,k) is the center and r is radius
#5 Radius 2, Center (4,-3)
[tex](x-4)^{2} +(y+3)^{2} =4[/tex]
#6 Radius 7, Center (-1,10)
[tex](x+1)^{2} +(y-10)^{2} =49[/tex]
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
Answer:
23
Step-by-step explanation:
The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23
What is the Interquartile range?An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.
The formula to calculate interquartile range is:
IQR = Q₃ - Q₁
where;
Q₃ is third quartile
Q₁ is first quartile
The given points when arranged in increasing order gives us:
13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27
Q₁ is the (n + 1)/4 terms = 3rd term.
Thus; Q₁ = 17
Q₃ is 3(n + 1)/4 term = 9th term.
Thus; Q₃ = 24
Then; IQR = 24 - 17
IQR = 7
The desired interquartile range should decrease by 1 point. Thus;
Desired IQR = 7 - 1 = 6.
To find the score of the 12th game, let us try 23 points as the score of the 12th game:
Thus;
Q₁ = 17.5
Q₃ = 23.5
IQR = 23.5 - 17.5
IQR = 6
Thus, required number of points is 23.
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