11.1.21 A survey asked, "How many tattoos do you currently have on your body?" Of the males surveyed, responded that they had at least one tattoo. Of the females surveyed, responded that they had at least one tattoo. Construct a % confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let represent the proportion of males with tattoos and represent the proportion of females with tattoos. Find the % confidence interval for . The lower bound is nothing. The upper bound is nothing. (Round to three decimal places as needed.)
Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
Find the value of x in the given
right triangle.
10
Х
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer: is 6
Step-by-step explanation:
I havent tried the 6.0 but putting in 6 was correct
Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Answer:
There are x squares on the shorter side, each square measures 6 inches.
The length of the shorter side is:
f(x) = x*6 = 6xThe length of the longer side is:
g(x) = (x + 3)*6 = 6x + 18The area of the quilt is:
A = 6x(6x + 18) = 36x² + 108xHelp please make the letter in the brackets the subject of each formula
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
Find the perimeter of the figure below.
Figure not drawn to scale
Answer:
a = 5
Step-by-step explanation:
I'm 100% sure good luck!!
The answer for the right triangle is 5
Flowers can contain one or both sexes of flower parts. A ___ is the B____ is the C ____ is the All of these are male or female?
Answer:
Answer:A) Anther( male )
B) Filament or stalk
Explanation:-The male parts of the flower are called the stamens and are made up of the anther at the top and the stalk or filament that supports the anther.
Fill in the missing number 87, 84, 81 —, —-
Answer:
87 , 84, 81, 78, 75
Step-by-step explanation:
it goes down each time by threes
In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D
Answer:
It would be B. 815.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
On edge
What linear expression would you add to -4y+2 to have a sum of y
Answer:
4
Step-by-step explanation:
What is the perimeter of the square below ?
5 inches
Answer: Where is the square?
Step-by-step explanation:
At 6AM the temperatures was -
4.05° F. By Noon, the
temperature had risen 16.3 ° F.
What was the temperature at
noon?
Answer: 12.25
Step-by-step explanation:
-4.05+16.3
Hope this helped! :) let me know if I can help with anything else!
(NO LINKS)
Please help this assignment is over due and I don't get it
Answer:
5
2y
40
Step-by-step explanation:
Answer:
y = 5
Because [2y] is on both sides of the equation, 8y must be equal to [40] so that the equation is true.
Step-by-step explanation:
Combine like terms to find the value of y.
8y + 2y = 2y + 40
10y = 2y + 40
8y = 40
y = 5
As we can see, we ended with 8y = 40, and 2y is the only term on both sides of the equation.
Need help asap!!!
Solve for the horizontal distance
Answer:
Step-by-step explanation:
helppppppppppppppppppppppppppppp
Which of the following rational functions is graphed below?
Answer:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Step-by-step explanation:
Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.
A discontinuity in a rational function is a point in which the denominator of the function is 0.
For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Explain how you found your answer
Answer:
29°
Step-by-step explanation:
151° + a=180°
We know the sum of angles in a straight line is 180°
a= 180°-151°
The sign changed as it changed sides
a= 29°
Create two equivalent fractons for 3/4
Answer:
6/8 and 9/12
Step-by-step explanation:
You can find any by multiplying numerator and denominator by any given number. The number multiplied has to be the same for the top and the bottom
1. Number is 2
3/4 * 2/2 = 6/8 (3*2 = 6 and 4*2 = 8)
2. Number is 3
3/4*3/3 = 9/12 (3*3 = 9 and 3*4 = 12)
The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the prism is 24 ft?
Answer:
The statement is trrue.
Step-by-step explanation:
Given that,
The surface area of a rectangular prism = 2,280 square feet
Width, b =20 feet
Height, h = 15 feet
The formula for the surface area of a rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Where
l is the length of the prism
Substitute all the values,
[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]
So, the length of the prism is equal to 24 feet.
please ..........help me
Answer:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.
Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
Find the distance between F and G
Answer:
10 units
Step-by-step explanation:
a resposta certa e 10 unidades
Thirty percent of credit card holders carry no monthly balance, while 70% do. Of those card holders carrying a balance, 30% have annual income $20,000 or less, 40% between $20,001 - $50,000, and 30% over $50,000. Of those card holders carrying no balance, 20%, 30%, and 50% have annual incomes in these three respective categories.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Answer:
a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) 0.778 = 77.8% probability that (s)he carries a balance
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
20% of 30%(carry no balance).
30% of 70%(carry balance). So
[tex]P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27[/tex]
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Conditional probability.
Event A: Annual income of $20,000 or less.
Event B: Carries a balance.
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less
This means that [tex]P(A) = 0.27[/tex]
Probability of a income of $20,000 or less and balance.
30% of 70%, so:
[tex]P(A \cap B) = 0.3*0.7 = 0.21[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778[/tex]
0.778 = 77.8% probability that (s)he carries a balance
34 divided by 8 please I’m helping a kiddo out
Answer:
4.25.
8 divides into 34 4 times, which is 32, then do 34−32, which is 2 (make sure to add your decimal) , then drop the 0 and it goes into 20 twice, subtract and get 4, drop a 0, then subtract 40 by 40 again and get 4.25
Find the surface area of each figure to the nearest tenth.
Answer:
A≈471.24 is the surface area of the cylinder
58m^2 is the surface area of the triangular prism
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389
Triangle area formula
area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.
4(2.5)+8(6)
10+48=58m^2
Hope this helped!!!
Consider the following expression.
3y + 5x + 2
Select all of the true statements below :
2 is a constant.
3y and 2 are like terms.
3y + 5x + 2 is written as a sum
of three terms.
3y is a coefficient.
3y is a factor.
None of these are true.
Answer:
2 is a constant
3y + 5x + 2 is written as a sum of three terms
Can you help me with this question please
Answer:
Triangle a was reflected across the x-axis to form triangle b
b/4+ 2= -1
help me with this find b
Answer:
-12
Step-by-step explanation:
Simplfy completely (6x − 2)(6x + 2). Show all work for full credit.
Answer:
there you go. hope this helps out
Answer:
36[tex]x^{2}[/tex] - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36[tex]x^{2}[/tex] - 12x + 12x - 4
= 36[tex]x^{2}[/tex] - 4
1. If CA = 12 cm, what is the measure of ER?
1CD
CD
Answer:
[tex]ER = 12cm[/tex]
Step-by-step explanation:
Given
See attachment for the given shape
Required
Length of ER
The given shape is a parallelogram and the opposite sides are: CA and ER
Given that:
[tex]CA= 12cm[/tex]
We have:
[tex]CA = ER[/tex] --- opposite sides of a parallelogram
So:
[tex]ER = 12cm[/tex]
I need help with this if your right I will mark uou
Answer:
I think it's a
Step-by-step explanation: