Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
Use this list to find the range: 53, 66, 68, 68, 75, 75, 75, 79, 82
(This is from Edginuity btw)
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Range =Largest - smallest
82 - 53=
29
Help please and explain
Answer:
Volume of a cone = 50 in³
Step-by-step explanation:
diameter = 5 in
radius = 2.5 in
height = 8 in
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 2.5 × 2.5 × 8)/3
V = 150/3
V = 50 in³
Find the missing angle measure in each triangle 29, 88, x || Hurry :)
Answer:
63
Step-by-step explanation
180-29-88=63
solve the system algebraically (using elimation or substitution method)
4x + 5y = 2
x + 2y = -1
Answer:
Equation form: x=3, y=-2
Point Form: (3,-2)
Step-by-step explanation:
Dayshawn started a new job and is being paid $15.25 for every hour he works. Which table represents a schedule for his pay?
Help me but i am gonna know the answer cause i know it
Answer:
D. 12
Step-by-step explanation:
93/3 = 31
155/5 = 31
248/8 = 31
In every case, you see that the number of pages is 31 times the number of hours.
For 372 pages, the number of hours is 372/31 = 12
Check: 372/12 = 31
Answer: D. 12
The bakery shop purchased 7 2/10 pounds of sugar and 7 5/10 pounds of flour. How much sugar and flour did they purchase in all?
Answer:
Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds
Together = 5-9/10 pounds
Step-by-step explanation:
sugar = 7(2/10)
flour = 7(5/10)
sugar + flour = 7(2/10) + 7(5/10)
sugar = 14/10 or 1-2/5 pounds
flour = 35/10 or 3-1/2 pounds
Linear function last one
Answer:
y=1/2x
Step-by-step explanation:
y=-x would go the other way so cross that one
y=2x would go up really quickly so cross that one
y=0.001x would be more like a horizontal line so cross that one
y = 1/2 is correct
0 3. The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3,5),
pentagon's area?
25 sq. units
15 sq. units
40 sq. units
Answer:
Option A
Step-by-step explanation:
The complete question is
The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's perimeter?
Solution -
We will find the length of all the sides of pentagon and then add them
Length of AB = Sqrt ((3-0)^2+(5-0)^2) = Square root of 9+25 = 5.83
Length of BC = Sqrt ((3-3)^2+(8-5)^2) = Square root of 9 = 3
Length of CD = Sqrt ((8-3)^2+(5-8)^2) = Square root of 5^2+-3^2
= 5.83
Length of DE = Sqrt ((8-8)^2+(0-5)^2) = Square root of 25 = 5
Length of EA = Sqrt ((8-0)^2+(0-0)^2) = Square root of 64= 8
Perimeter=8+5+5.83+5.83+3= 27.66 units =27.66 units
Option A
Answer:
40 sq. units
Step-by-step explanation:
ASAP I need help 10 points
Answer:
$80.66 and $48
Step-by-step explanation:
1.
Find the total cost of your outfit. 49+25=$74
Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.
2.
Find 25% of 64 by doing 0.25x64=16. 64-16=$48.
Jeremy spent $33 on 3 CDs. At This rate. how much would 6 CDs cost ?
Answer:
It would cost Jeremy $66 for 6 CDs
Step-by-step explanation:
3 CDs for $33
3(2)=6
$33(2)=$66
6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
of 50% per month compounded monthly
How much does Juan owe to the bank today?
The compound interest implies that Juan owes $163.52 today
How to determine the amount Juan owes?The given variables can be represented as:
Loan amount P = $128Rate of interest, R = 50%Time to pay back the loan, t = 6 months i.e. 0.5 yearThe amount from a compound interest can be calculated using:
A = P(1 + r/n)^nt
Also from the question, we have
n = 12
This is so because the loan is compounded 12 times in a year as a result of being compounded monthly
So, we have
A = P(1 + r/n)^nt
A = 128 * (1 + (50%/12))^(0.5*12)
Evaluate
A = 163.52
Hence, the amount owed is $163.52
Read more about compound interest at:
brainly.com/question/2455673
#SPJ1
Anna, Debbie, Kim and Nadia want to share 5 brownies, so they each get the same amount. How much will each get?
Answer:
1.25
Step-by-step explanation:
5/4=1.25
Find the volume of the tank with a radius of 2 m and height of 5 m
Answer:
20.943951023932 m^3
Step-by-step explanation:
v=1/3pi(r)^2h
v=1/3pi(2)^2(5)
v=20.943951023932 m^3
Answer:
62.8
Step-by-step explanation:
2 × 2 × 3.14 × 5 = 62.8
Pleaseee helppp!!! I’m not sure
Use △GHJ, where A, B, and C are midpoints of the sides.
When AB = 3x+8 and GJ = 2x+24, what is AB?
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Answer:
the correct answer would be B
Answer:
B
Step-by-step explanation:
I just did this problem
This Inflatable Crayon has a diameter of 8 in a length of 40 inches and is topped with a cone shaped tip with a height of 12 inches Round your answer to the nearest tenth of an inch.
Answer:
Assuming you want to know the volume,
volume = 2210.6 in³
Step-by-step explanation:
radius = diameter/2 = 8/2 = 4 in
area of base = πr² = (3.14)(4²) = 50.24 in²
volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³
cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³
total volume = 2009.6 + 200.96 = 2210.56 in³
Hi if you can help, it would be great! Just tell me the answer choice (a,b,c,d) and your reasoning!
Answer:
the answer is C
Step-by-step explanation:
∠2=∠4 corresponding
∠7=∠4 vertically opposite
Answer:
C. ∠2 and ∠7
Explanation:
∠2 = ∠4 through corresponding angles theorem
∠7 = ∠4 through the vertical angles theorem
Which of the following situation illustrates combination
find the perimeter of the figure below.
PLEASE GIVE A EXPLANATION
Answer:
Perimeter of the figure = 198.54 feet
Step-by-step explanation:
Given figure comprises a rectangle and two semicircles.
Perimeters of two semicircle = 2πr
Here 'r' = Radius of the circle
Perimeter of two semicircles at the sides of the rectangle = [tex]2\pi (\frac{25}{2})[/tex]
= 25π feet
= 78.54 feet
Length of side AB = Length of side CD = 60 feet
Perimeter of the given figure = 2(60) + 78.54
= 198.54 feet
find the volume of a cone with a height of 6 m and a base radius of 4 m.
helppp with my geometry PLSS HELP
Answer:
15) 30°
16) 49.46°
Step-by-step explanation:
15) sin ? = 12/24
sin ? = 0.5
? = 30°
16) cos ? = 13/20
cos ? = 0.65
? = 49.46°
factor a number,variable, or expression out of the trinomial shown below 6x2-12x+9
Answer:
3(2x2-4x+3)
Step-by-step explanation:
factor out 3
Area = ???????????????
Answer:
x^2+10x+21
Step-by-step explanation:
Blue box: x*x=x^2
Green box: x*3=3x
Purple box: 7*x=7x
Orange box: 7*3=21
x^2+(3x+7x)+21
Combine like term
A: x^2+10x+21
plot-6 what is the sum of-6 and 9
Answer:
3
Step-by-step explanation:
I believe the answer is 3 because:
- 6 + 9 = 3
minus and plus are equal to minus therefore we minused it and there is no minus sign with 3 because we always use the sign which is with the greater number.
— hope this helped :)!
P(A)=0.45, P(A∩B)=0.15 and P(B\A)=0.25 what is the value of P(A\B)
0.45
0.25
0.35
None of the above
Answer:
0.35? That is correct?
Please HELP !!
FIND X
1) x = 15
2) x = 34.1760149812
3) x = 2.25
4) x = 1.6666666
reduce 105 in the ratio 3:5
9514 1404 393
Answer:
39.375 : 65.625
Step-by-step explanation:
The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.
3/8 × 105 = 39 3/8
5/8 × 105 = 65 5/8
The divided quantities are ...
39.375 : 65.625
The Miller family likes to petal along the north River. 1. They paddled the same distance each day throughout the course of three days, traveling a total of 14 miles. How many miles do they travel each day?
Two. If the millers went half their daily distance each day, but extend their trip to twice as many days, how far would they travel?
Answer:
The Millers paddled 4,666 miles each day. If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.
Step-by-step explanation:
Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :
14/3 = X
4.666 = X
Thus, the Millers paddled 4,666 miles each day.
In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:
4.666 / 2 x 6 = X
2.333 x 6 = 13.9999
Thus, the distance traveled by the Millers would have been the same.
