Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 700
x = 46
p = 46/700 = 0.066
q = 1 - 0.066 = 0.934
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.066 ± 1.645√(0.066)(0.934)/700
= 0.066 ± 0.0094
The lower limit of the confidence interval is
0.066 - 0.0094 = 0.0566
The upper limit of the confidence interval is
0.066 + 0.0094 = 0.0754
Answer:
(0.0503, 0.0811).
Step-by-step explanation:
The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.
1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.
2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.
3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.
4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.
5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.
6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).
HELP QUICKLY FOR BRAINLISTS!!!
Determine the intercepts of the line.
y-3=5(x-2)
Answer:
x int = 7/5
y int = -7
Step-by-step explanation:
y = 5x - 7
when x = 0
y = -7
when y = 0
-5x = -7
x = 7/5
Answer:
y.(0.-7)
x.(1.4,0)
Step-by-step explanation:
There are 1250 students in a school. 58% of them are female. How many are male?
Answer:525 boys
Step-by-step explanation:
Multiply 1250 times .58 and then subtract that answer from 1250....
1250x.58=725
1250-725=525
Answer:
There are 525 boys in that school.
Step-by-step explanation:
Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is
⇒100% - 58% = 42%
To find how many boys are in that school, you multiply 1250 by 42%.
i.e. [tex]\frac{42}{100} * 1250[/tex]
= [tex]\frac{42}{10} * 125[/tex]
= 4.2 × 125
= 525
∴ There are 525 boys in that school.
OR
You can find the number of boys there by subtract the product of 58% and 1250 by 1250.
i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]
= [tex]\frac{58}{10} * 125[/tex]
= 5.8 × 125
= 725
∴ The boys in that school are:
= 1250 - 725
= 525
∴ There are 525 boys in that school.
Hope this helps!!!
NEED HELP ASASP WILL GIVE YOU BRAINLIEST
Which of the triangles are right triangles?
3
01
5
8
Answer:
2.
5 x 5 = 25
4 x 4 = 16
25 + 16 = 41
You need to square root but it is already included
Hope this helps
Step-by-step explanation:
What is 13/18pie in degrees
Answer:
Convert from radians to degrees using the ratio 180/π. answer is 130°
Step-by-step explanation:
Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture
Answer:
C. Identify target users
explanation:
After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but
hope i helped!
Answer:
design the website
Step-by-step explanation:
Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.
Answer:
It is irrational because a rational number expressed as the quotient or fraction of two integers
Step-by-step explanation:
Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamps, how many postcards does Mary have?
Answer:
8
Step-by-step explanation:
2:9
9*4 = 36
2*4 = 8
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)
Answer:
y=-x+1
Step-by-step explanation:
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ compass bearings ?”
Answer:
this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."
I can't really make sense of it though...
Answer:
What is the difference between constructing a square and constructing a regular hexagon?
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
Step-by-step explanation:
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
What are the ratio as a fraction for 4:6
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
or 4 over 6
i think this is right and i hope it helps:DWhen the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the
bins in one neighborhood on pickup day. The city assigned
a second garbage truck to this neighborhood. During their
training, it took the crew from the second truck 8 hours to
empty all the bins.
0.6
0.5
0.7
Time
(hours)
t
Part of Bins
Emptied
Rate
(part/hour)
1
5
0.4
First Truck
500
(9
1
t
Second
Truck
1
8
8
This question is not properly written
Complete Question
When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Options
• 0.6
• 0.5
• 0.7
Answer:
0.6
Step-by-step explanation:
Let us say that the total hours worked by both trucks = t hours
Number of hours worked by first truck = 5 hours
Number of hours worked by second truck = 8 hours
Let 1 = total number of bins.
For the 1st truck the rate at which work was carried out is
(1 ) ÷ (5 ) = 1/5
For the 1st truck the rate at which work was carried out is
( 1 ) ÷ (8 ) = 1/8
Then,
(1/5 + 1/8) × t =1
(1/5 + 1/8) × t= 1
(13/40)t = 1
t = 1÷ 13/40
t = 1× 40/13
t = 40/13 hours.
Hence, the total hours worked by both trucks = 40/13 hours
the part of all
the garbage bins that the first garbage truck will empty is calculated as:
1/5 × 40/13 hr
1/5 × 40/13
= 0.6153846154
Approximately = 0.6
Therefore, when the two crews start working together, the part of all
the garbage bins that the first garbage truck will empty is 0.6 of the total work done.
Answer:
A) 0.6
Step-by-step explanation:
Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
Step-by-step explanation:
1 rabbit
9 elephants (not clear going to river or not)
3 monkeys
6 tortoise
total 19 animal in the story
20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)
but the total animal going to river for sure is 10 animals
Is this true or false ?
Short answer yes its true
Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4
Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
Help me please !!!!!!!!!
Answer:
756.5 =x
Step-by-step explanation:
To find the perimeter of a rectangle
P = 2 (l+w)
4533 = 2 ( x+3 + 2x-6)
Combine like terms
4533 = 2 ( 3x -3)
Distribute
4533 = 6x -6
Add 6 to each side
4533+6 = 6x
4539 = 6x
Divide by 6
4539/6 =x
756.5 =x
If anybody now this pls help my homework due TOMORROW
Answer:
Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]
Part B: C. [tex]3x(x-3) = 0\\[/tex]
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: [tex]y = (x + 1)(x+3)[/tex]
Now plug in 0 for x.
[tex]y = (0 + 1)(0+3)\\[/tex]
Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: [tex]3x(x-3) = 0[/tex]
Now plug in x for 0 and solve:
[tex]3* 0 (0-3) = 0\\[/tex]
[tex]0(-3) = 0\\[/tex]
[tex]0 =0\\[/tex]
This equation is true, now we check for the other value of x, 3.
[tex]3*3(3-3) = 0\\[/tex]
[tex]9(0) = 0\\[/tex]
[tex]0 =0\\[/tex]
This is also true so that means this is the correct answer.
5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?
Answer:
Cone.
Step-by-step explanation:
From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.
The following attributes help as to decide that the hat is a cone:
1. Hat and cone both have one vertex.
2. Hat and cone both have one circular base.
Therefore, the hat is look like cone.
A POLE DANCER MAKES $16.29 PER HOUR. SHE EARNS A TOTAL OF $800. HOW MANY HOURS DOES SHE WORK?
Answer:49.10988336
Step-by-step explanation:
800 divided 16.29
800÷16.29=49.10988336
The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?
Answer:
See picture attached
Step-by-step explanation:
The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:
62: once
63: twice
64: three times
65: twice
66: twice
Those are the numbers of dots you have to put over each height.
What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!
Answer:
180
Step-by-step explanation:
its 180 cos its the closest number to 193 that 18 can go in, your overall answer to the equation is 310 remainder 13. But I dont know if u need that..
Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.
Answer:
She'd have travelled 120 extra miles, 600 miles in total.
Step-by-step explanation:
480 : 8 = 60 --> 60 miles per hour
60 x 10 = 600 --> 600 miles in 10 hours at that speed
600 - 480 = 120 --> extra miles in the extra two hours at that speed
Simplify the expression:
3x (4x-6)
—————
2x(3x)
Answer:
[tex]=\frac{2x-3}{x}[/tex]
Step-by-step explanation:
[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]
CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH
Answer:Decreasing
Step-by-step explanation:
Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .
Select all true statements
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
options 1 and 3
Step-by-step explanation:
option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.
in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime
A. $600
B. $1600
C. 1200
D.$8400
Answer:
B. $1,600Step-by-step explanation:
$3,400 + T = $5,000
T = $5,000 - $3,400
T = $1,600
Which statement is true about the right angles ABC and DEF
Does anyone understand this
If the patter below follows the rule "Starting with two, every consecutive line
has a number that is one less than twice the previous line," how many
marbles must be in the sixth line?
O A. 11
B. 13
O C. 33
O D. Need more information
[tex]answer \\ 33 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
C. 33 marbles must be there in the sixth line.
How to elaborate the problem ?There are 2 marbles in the 1st line, 3 marbles in the 2nd, 5 marbles in the 3rd and 9 marbles in the 4th.
The rule is " Every consecutive line has a number that is one less than twice the previous line ".
How many marbles are there in 6th line ?In 1st line , 2 marbles are there.
In 2nd line, (2×2)-1 = 3 marbles are there.
In 3rd line, (2×3)-1 = 5 marbles are there.
In 4th line, (2×5)-1 = 9 marbles are there.
In 5th line, (2×9)-1 = 17 marbles are there.
In 6th line, (2×17)-1 = 33 marbles are there.
Learn more about marble problem here :
https://brainly.com/question/17613503
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