For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
https://brainly.com/question/17097944
After winning $73,000 on a game show, Jasmine invests the money in a fixed-rate account offering 7.2% interest
compounded semiannually. How long will it take that amount to grow to $100,000?
Answer:
139600
Step-by-step explanation:
just dived all the numbers
If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?
6
10
3
5
Answer:
There are 5 red Marbles
Step-by-step explanation:
Alright so since the probability of drawing a red marble is
P(Red) = #Outcomes of Red/#Outcomes in Sample space
The sample Space is 40 marbles.
The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]
P(Red) = [tex]\frac{1}{8}[/tex]
[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]
___________________cm
Answer:
10 cm
Step-by-step explanation:
mostly guess and check, 15 is 5 more than 10, and both added together is 25.
9. If triangle GFE - triangle GHJ, find the value of x.
Answer:
2
Step-by-step explanation:
→ Find the scale factor
12 ÷ 7.5 = 1.6
→ Form an equation
x + 6 = 1.6 ( 2x+ 1 )
→ Solve
x = 2
According to the line plot how many apples weigh 5/8 of a pound
Answer:
Answer:4 apples weigh 5/8 pound.
Step-by-step explanation:
Answer:
2(−5) − 10 = 2(0)
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement
A point located at (1, 8) is reflected over the x-axis. What are the coordinates of the image?
(-1, 8)
(8, 1)
(-1, -8)
(1, -8)
Answer:
(1, -8)
Step-by-step explanation:
In this case, we are reflecting. Since we are reflecting over the x axis, the only thing that will change will be the y.
----------------------------------------------------------------------------------------------------------
The x is staying the same because it is not moving. The y, however, is changing sides.
----------------------------------------------------------------------------------------------------------
Since the y is positive in its original spot, when you reflect over the x axis, you will have a negative y value, which is why it is a -8.
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Need help with math probelm if do 5 stars and brainly points
Set up:-
Find volume of closet storageFind volume of each cubeDivide and get no of cubesSolution:-
Here it's a cuboid
Length=L=6.5ftBreadth=B=4ftHeight=H=12.5ftVolume:-
[tex]\\ \rm\rightarrowtail V=LBH[/tex]
[tex]\\ \rm\rightarrowtail V=6.5(4)(12.5)[/tex]
[tex]\\ \rm\rightarrowtail V=325ft^3[/tex]
For cubes
sides=0.25ftVolume:-
[tex]\\ \rm\rightarrowtail V=side^3[/tex]
[tex]\\ \rm\rightarrowtail V=(0.25)^3[/tex]
[tex]\\ \rm\rightarrowtail V=0.015625ft^3[/tex]
Now
Total cubes:-
[tex]\\ \rm\rightarrowtail \dfrac{325}{0.015625}[/tex]
[tex]\\ \rm\rightarrowtail 20800cubes[/tex]
Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.
The inequality that models the situation is given by:
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
How does Amir plans to spend his $50?He plans to spend it as follows:
With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.Hence, his total spending is given by:
T = 26.50 + 8n.
He can spend at most $50, hence:
[tex]T \leq 50[/tex].
[tex]26.50 + 8n \leq 50[/tex]
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
More can be learned about inequalities at https://brainly.com/question/25235995
Combine like terms:
-3(4x + 3) - (2x - 5) + 6(3x - 4)
Make sure you put your x term first
Due in 6 hours
Answer:
4x - 28
Step-by-step explanation:
[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]
[tex]-\left(2x-5\right)=-2x+5[/tex]
[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+18x-24[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-12x-2x+18x-9+5-24[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]
[tex]=-12x-2x+18x-28[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]
[tex]=4x-28[/tex]
~Learn with Lenvy~
Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is
(Type a whole number.)
The mean is
(Type an integer or a decimal.)
The standard deviation is
(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)
Answer:
mean: 8
medium:7
min: 4
max: 18
hope that helps
Each level of a smartphone app adds more gems for you to match. On
level one, there were 13 gems. On level twelve, there were 123 gems.
When you complete all twelve levels, how
many total gems will you have
matched? (2 points)
O 748
• 816
O 660
O 605
20.
19. Make Sense and Persevere Use the Distributive
Property to expand 7(7x - 3y) - 6.
HELP PLEASE
Answer:
49x-21y-6
Step-by-step explanation:
7(7x) 7(-3y) -6
49x-21y-6=0
A silo of a barn consists of a cylinder capped by a hemisphere. The
height of a cylinder is 60 feet and its diameter is 30 feet. What is the approximate volume of the entire silo
The approximate volume of the entire silo which consists of a cylinder capped by a hemisphere is 42,390 cubic feet
Volume of the silo
Volume of a cylinder = πr²h
where,
π = 3.14Radius, r = diameter / 2= 30 ft / 2
= 15 ft
Height, h = 60 ftVolume of a cylinder = πr²h
= 3.14 × 15 × 15 × 60
= 42,390 cubic feet
Learn more about volume of cylinder:
https://brainly.com/question/9554871
#SPJ1
Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.
The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3
How to write and solve equation?let
x = unknown number
2x + 1 = 4 + x
collect like terms2x - x = 4 - 1
solve
x = 3
Therefore, the unknown number is 3
Learn more about equation:
https://brainly.com/question/2972832
Which of the following describes this?
Answer:
Step-by-step explanation:
irrational number
Answer:
Irrational number
Step-by-step explanation:
It is a never-ending and non-repeating number.
. Quinn is building a table. The top is an isosceles trapezoid, with bases that are 1.5 meters and 2 meters, and a height of Imeter. What is the area of the table top?
Two equivalent ratios are shown on the graph. How can you plot more equivalent ratios, starting at one of the plotted points? Select all that apply.
A. Move up 2 and right 1.
B. Move up 1 and right 2.
C. Move up 4 and right 2.
D. Move down 2 and left 1.
E. Move down 1 and left 2.
Answer:
A, move up 2 and right 1
Step-by-step explanation:
If you follow this rule, you can see that all those consistent dotted points will simplify to the same ratios.
Answer:
A, C, D
Step-by-step explanation:
First, we have to create a line based on the data.
Now, we know that the equation of the line is as follows
y = 2x
meaning that whenever we go a certain amount of units to the right or left, we move double that amount up or down
Now, A is equivalent to the Slope, so nthat is automatically equivalent.
C and D are both placed on the line, so they are correct
Another way to think about this is using fractions
x = 1/2 y
For A,
1 = 1/2(2)
For C,
2 = 1/2(4)
For D,
-1 = 1/2(-2)
The perimeter of the rectangle below is 168 units. Find the length of side AB.
Write your answer without variables.
D
С
AB
0
4z + 1
SZ+2
Answer:
47
Step-by-step explanation:
10z + 4 + 8z + 2 = 168
first we find z
z = 9
5×9 +2 is 47
ANSWER IS 47
Find the average of this set of numbers.2, 5, 6, 14, 83
A) 22
B) 20
C) 19
D) none of the above
the answer is D i added then subtracted
I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?
A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles
3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home?
A. 15 miles
B. 28 miles
C. 45 miles
D. 60 miles
Sunshine Rental rents a motorcycle at a daily rate of $57.99 plus 48 cents per mile. City Rentals
rents the same motorcycle at $58.95 plus 46 cents per mile. For what mileage is the cost the same?
Answer:
48 miles
Step-by-step explanation:
To find the mileage when both cost the same, first form two equations for the total cost for each rental place.
Let the mileage be m.
Sunshine Rental
Daily rate= $57.99
Total cost= $(57.99 +0.48m)
City Rentals
Daily rate= $58.95
Total cost= $(58.95 +0.46m)
Let's equate both equations together.
When both costs the same,
57.99 +0.48m= 58.95 +0.46m
0.48m -0.46m= 58.95 -57.99
0.02m= 0.96
Solve for m:
m= 0.96 ÷0.02
m= 48
The cost is the same at 48 miles.
Jeremiah answered 20 out of 25 questions correctly on the math test. What percent of the questions did Jeremiah answer correctly?
Answer, explain and setup problem.
enter the value for x
Evaluate 9 divided by 3 [(18-6)-2 to the second power]
Answer: 24
I hope this helped
hi i need help ill give brainlyest
Answer: 48.
Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side. 48 is at the the tip of the left whisker. Therefore, that's your answer.
Hope this helps! :)
Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?
Answer:
47.5%
Step-by-step explanation:
3.8/8.0 x 100
= 47.5%
Uncle Jack used 47.50 percent of the wood he cut to create the shelf.
What is the percentage?The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.
Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,
P = (3.8 / 8) x 100
P = 0.475 x 100
P = 47.50%
The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ7
how many positive integers are between 28/3 and 83/5
Answer: ur dad
Step-by-step explanation:
lol
There are 7 positive integers in between 28/3 and 83/5.
What is an integer?
An integer is a whole number (not a fractional number) that can be positive, negative or zero.
Given that;
Two fractions are;
28/3 and 83/5.
Now, Write fraction into decimal form as;
28/3 = 9.33
83/5 = 16.6
So, All Integers in between 9.33 and 16.6 are;
⇒ 10, 11, 12, 13, 14, 15, 16
Thus, There are 7 positive integers in between 28/3 and 83/5.
Learn more about the integers visit:
https://brainly.com/question/24653557
#SPJ2
how do I write this out? Expand to write an equivalent expression…
1/2(-4x + 2y)
Answer:
-2x + y
Step-by-step explanation:
This is distributive property, so multiply the terms inside the parentheses by 1/2.
1/2 (-4x) = -2x
1/2(2y) = y
-2x + y
I need help. Work has to be shown but i don’t know how to do them
Step-by-step explanation:
1.
1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.
1% of 500 = 5
5 × 8 = 40
40 × 2 = 80
2.
1% of 1000 = 10
10 × 5 = 50
50 × 3 = 150
3.
12 months = 6%
6/12 = 1 month
0.5 = 1 month
0.5 × 9 = 4.5 (the amount of interest for 9 months.)
800 × 4.5% = 36
4.
12 months = 7%
7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)
7/12 x 8 = 4.666667 or 4.7 rounded.
1200 × 4.7% = 56.40
In the figure; Triangle ABC is isosceles with BC=AC . If ∠A = 70, find the values of x and y . Give reasons for your answer.
Captionless Image
Answer:
∠B = 70 and ∠C = 40
Step-by-step explanation:
The image is not loading for me but with isosceles triangles there will two angles that are the same and one different angle.
All the angles will add up to equal 180 degrees.
In this case the different angle would angle C as the two same lines meet at that point.
From this you can that angle A and B are the same, both 70, so angle C would be:
180 (all the angles of a triangle added together) - 70 - 70 = 40
I'm assuming that x and y are angles B and C as they are not stated so they would be: ∠B = 70 and ∠C = 40.
Here is a diagram to demonstrate this: