Answer:
The lowest value of the confidence interval is 0.5262 or 52.62%The highest value of the confidence interval is 0.5538 or 55.38%Step-by-step explanation:
Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.
The general expression to apply here is;
[tex]C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }[/tex]
where ;
p=sample proportion
n=sample size
z*=value of z* from the standard normal distribution for 95% confidence level
Given;
n=5000
Find p
From the question 54% of people chosen said they did not have children under 18 living at home
[tex]\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54[/tex]
To calculate the 95% confidence interval, follow the steps below;
Find the value of z* from the z*-value tableThe value of z* from the table is 1.96
calculate the sample proportion pThe value of p=0.54 as calculated above
Find p(1-p)[tex]0.54(1-0.54)=0.2484[/tex]
Find p(1-p)/nDivide the value of p(1-p) with the sample size, n
[tex]\frac{0.2448}{5000} =0.00004968[/tex]
Find the square-root of p(1-p)/n[tex]=\sqrt{0.00004968} =0.007048[/tex]
Find the margin of errorHere multiply the square-root of p(1-p)/n by the z*
[tex]=0.007048*1.96=0.0138[/tex]
The 95% confidence interval for the lower end value is p-margin of error
[tex]=0.54-0.0138=0.5262[/tex]
The 95% confidence interval for the upper end value is p+margin of error
[tex]0.54+0.0138=0.5538[/tex]
Answer: 0.5262 - 0.5538
Step-by-step explanation:
1) Find the standard deviation with the given information:
n=5000
p=54% ⇒ 0.54
1-p = 1 - 0.54 = 0.46
[tex]\sigma =\sqrt{\dfrac{p(1-p)}{n}}\\\\\\.\ =\sqrt{\dfrac{0.54(0.46)}{5000}}\\\\\\.\ =\sqrt{\dfrac{0.2484}{5000}}\\\\\\.\ =\sqrt{0.00004968}\\\\\\.\ =0.007048[/tex]
2) Find the margin of error (ME) with the given information:
C=95% ⇒ Z = 1.960
σ=0.007048
ME = Z × σ
= 1.96 (0.007048)
= 0.01381
3) Find the confidence interval with the given information:
p = 0.54
ME = 0.01381
C = p ± ME
= 0.54 ± 0.01381
= (0.5262, 0.5538)
A building is in the shape of a square pyramid each side of the base is 54 M long and the height is 260 M what is the volume of the building
Answer:
V≈2.53×105^5
Step-by-step explanation:
Base edge: 54
Height: 260
Formula to find volume is: V=a^2h /3
Hope this helps!
For this case we have that by definition, the volume of a square base pyramid is given by:
[tex]V = \frac {1} {3} * L ^ 2 * h[/tex]
Where:
L: It's the side of the square base
h: It's the height of the pyramid
According to the data we have:
[tex]L = 54\m\\h = 260\m[/tex]
Substituting in the formula:
[tex]V = \frac {1} {3} * (54) ^ 2 * 260\\V = \frac {1} {3} * 2916 * 260\\V = \frac {1} {3} * (758160)\\V = 252,720 \ m ^ 3[/tex]
Thus, the volume of the building is [tex]252,720 \ m ^ 3[/tex]
Answer:
[tex]252,720 \ m ^ 3[/tex]
Help me out please with this question
Answer:
100 + 40 + 40 + 40 + 40
Step-by-step explanation:
area of base = 10 x 10 = 100 square units
area of each triangular side = 0.5 x 10 x 8 = 40 square units.
Total area = 1 base + 4 sides
= 100 + 40 + 40 + 40 + 40
Slope = 5, passing through (4,3)
y - y1 = m(x - x1) is the general point slope form
y - 3 = 5(x - 4) plug in the given values
y - 3 = 5x - 20
y = 5x - 20 + 3
y = 5x - 17
The answer in slope intercept form is y = 5x-17
If you want to convert to standard form, then
y = 5x - 17
y+17 = 5x
17 = 5x - y
5x - y = 17 which is the answer in standard form (Ax + By = C)
If 10/60 is a fraction my decimal is 0.625 so what's the percent?
Answer:
it is 62.5%
Step-by-step explanation:
you can find the percent by moving the decimal point over to the right twice. you can have decimal percents but some questions will ask you to round.
it works because it technically means 625 out of 1000 because it is the thousandths place
What are the foci of the graph y2 – 25x2 = 25?
Answer: [tex]\bold{(0,-\sqrt{26})\quad \&\quad (0,\sqrt{26})}[/tex]
Step-by-step explanation:
[tex].\qquad y^2-25x^2=25\\\\\implies \dfrac{y^2}{25}-\dfrac{25x^2}{25}=\dfrac{25}{25}\\\\\\\implies \dfrac{y^2}{25}-\dfrac{x^2}{1}=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies \sqrt{26}=c\\Foci: (0,0\pm \sqrt{26})[/tex]
jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?
Hello There!
Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.
Jimmy can run 1.75 miles in 10 minutes.
To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25
Jimmy Can Run 12.25 Miles In 70 Minutes
Does anyone know the answer to this question?
Answer:
Option C is correct.
Step-by-step explanation:
We need to solve the equation:
tan 45° - 10 cos 60°
Finding value of tan 45° and cos 60° and solving:
tan 45° = 1 and
cos 60° = 0.5
= 1 - 10(0.5)
= 1- 5
= -4
So, Option C is correct.
A frame is marked down by 22 percent from an original price of $14.50. What is the new price.
Answer:
The new price is 11.31 dollars.
Step-by-step explanation:
It is marked down by 22 percent, or 78 percent of original.
.78 * 14.50 = 11.31
Answer:
The new price is 11.31
Step-by-step explanation:
Find the mark down
14.50 * 22%
14.50 * .22
3.19
Subtract this from the original price
14.50-3.19
11.31
The new price is 11.31
help me with this pleaae
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
[tex] volume = \pi r^2 h [/tex]
[tex] volume = 6750 \pi~in.^3 [/tex]
We set the formula equal to the volume and replace h with 30 in.
[tex] \pi r^2 h = 6750 \pi~in.^3 [/tex]
[tex] \pi r^2 \times 30 ~in. = 6750 \pi~in.^3 [/tex]
Divide both sides by 30pi in.
[tex] r^2 = 225 ~in.^2 [/tex]
Take the square root of each side.
[tex] \sqrt{r^2} = \sqrt{225 ~in.^2} [/tex]
[tex] r = 15~in. [/tex]
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
[tex] circumference = 2 \pi r [/tex]
[tex] circumference = 2 \pi \times 15~in. [/tex]
[tex] circumference = 30 \pi ~in. [/tex]
The measure of angle theta is 3 pi over 2. The measure of its reference angle is pi /
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
In order to find the reference angle of a given angle, we have to determine its quadrant.
Since the angle given is:
[tex]\frac{3\pi }{2}[/tex]
The angle lies in third quadrant.
If the angle lies in the third quadrant, [tex]\pi[/tex] is subtracted from the given angle:
So,
[tex]Reference\ Agnle= \frac{3\pi }{2}-\pi\\= \frac{3\pi -2\pi }{2}\\=\frac{\pi }{2}[/tex]
So the reference angle for [tex]\frac{3\pi }{2}[/tex] is [tex]\frac{\pi }{2}[/tex] ..
What is the largest number that should be added to –11 to get a sum less than –5?
Answer:
5
Wow the wording of these questions keeps getting more like a version of clue than a school exam or test. Goodluck!
The largest number that should be added to -11 to obtain a sum less than -5 is 5.
Explanation:To find the largest number that should be added to –11 to get a sum less than –5 you need to relate these two numbers. If you add a number to -11 that brings you exactly to -5, it means you're adding 6 (because -11 + 6 = -5). However, you need the sum to be less than -5. So the largest number you can add to -11 to get a number less than -5 would be 5 (because -11 + 5 = -6, and -6 is less than -5). So, the answer is 5.
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A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from San Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?
Step-by-step answer:
Given:
Distance = 2464 miles
downwind time = 14 hours
upwind time = 16 hours
Solution:
downwind speed = 2464 / 14 = 176 mph
upwind speed = 2464 / 16 = 154 mph
Average speed = still air speed
= (176+154)/2
= 330/2
= 165 mph
Time required
= 2464 / 165
= 14.933 hours
= 14 hours 56 minutes.
Final answer:
The plane's speed in still air is 165 mph, and the wind's speed is 11 mph.
Explanation:
To solve the problem of finding the plane's speed in still air, and the wind speed, we can set up two equations based on the given information. Let the plane's speed be 'p' and the wind's speed be 'w'.
With the wind, the effective speed of the plane is 'p + w', and it travels 2464 miles in 14 hours. So we can write the equation:
2464 miles = (p + w) × 14 hours
Into the wind, the effective speed of the plane is 'p - w', and it travels the same distance in 16 hours. The second equation is:
2464 miles = (p - w) × 16 hours
Dividing the distance by the time in each equation gives:
(p + w) = 2464 miles / 14 hours(p - w) = 2464 miles / 16 hoursBy solving these two equations simultaneously, we can find the plane's speed and the wind's speed.
First, calculate the speed with and against the wind:
p + w = 2464 / 14 = 176 mphp - w = 2464 / 16 = 154 mphNow, we can add these two equations to eliminate 'w' and solve for 'p':
2p = 330 mph
p = 165 mph
The plane's speed in still air is 165 mph. To find the wind's speed 'w', we subtract one equation from the other:
w = (176 - 154) / 2 = 11 mphThe wind's speed is 11 mph.
The oil company removed 5421 liters of gas from a tank that contained 5855 liters
Answer:
The tank now has 434 liters
Step-by-step explanation:
5855-5421=434
A circle has a radius of 8 centimeters. If 1/2 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for
Answer:
Area of the semicircle = 100.48 cm²
Step-by-step explanation:
radius r = 8 cm
Area of the semicircle = [tex]\pi[/tex]r²/2
= (3.14 * 8 * 8)/2 = 3.14 * 8 * 4 = 100.48 cm²
8a4b+1/125ab4
Factorise it
Answer:
Step-by-step explanation:
First pull out the common factor of ab
ab(8a^3 + (1/125)b^3)
This is basically the sum of cubes. The linear factor is
(2a + 1/5 b)
The other factor is these two factors squared and their multiplicand subtracted.
(2a^2 - 2/5 ab + 1/25b^2)
Now put all this together and you get
ab(2a + 1/5 b)((2a^2 - 2/5 ab + 1/25b^2)
Which expression are equivalent?
Answer:
B and F
Step-by-step explanation:
the are equivalent but the are just is different orders
Answer:
8d + 1/3 + 5/7
1/3 + 5/7 + 8d
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer
000
DONE
000
Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x+3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
From the graph we have the points (4, 4) and (0, 3) → b = 3.
We have the equation:
[tex]y=mx+3[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points:
[tex]m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
Finally we have:
[tex]y=\dfrac{1}{4}x+3[/tex]
A line has a slope of -1 over two and a Y intercept of -2 what is the X intercept of the line
Answer: [tex]x=-4[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
[tex]m=-\frac{1}{2}[/tex]
And the y-intercept is:
[tex]b=-2[/tex]
Since the line intersects the x-axis when [tex]y=0[/tex], we can substitute values into [tex]y=mx+b[/tex]:
[tex]0=-\frac{1}{2}x-2[/tex]
The final step is to solve for "x", then:
[tex]2=-\frac{1}{2}x\\\\(2)(-2)=x\\\\x=-4[/tex]
Use ADEF to complete the statements.
Angle E is the included angle between sides
The included angle between sides FE and DF is angle
Answer:
Angle E is the included angle between the sides FE and DE
The included angle between sides FE and DF is the angle F
Step-by-step explanation:
we know that
An included angle is the angle between two sides of a triangle
In the triangle DEF
we have
The included angle F is the angle between the sides FE and FD
The included angle E is the angle between the sides FE and DE
The included angle D is the angle between the sides DF and DE
therefore
In this problem
Angle E is the included angle between the sides FE and DE
The included angle between sides FE and DF is the angle F
Can someone please help me
Answer:
36
Step-by-step explanation:
Note that the missing side is X
30/20 = X/24
30/20(24) = X
36 = X
PLEASE HELP!
What is the y-intercept of the line shown?
Answer:
the answer is y=-1
Answer: -1
Step-by-step explanation: The horizontal line represents the x axis and the verticle line represents the y axis. The line comes into contact with the verticle line at -1, making it your point of interception.
Solve for x.
c-1/x+d=cd
A)1/d
B)d
C)c/d
Answer: OPTION A.
Step-by-step explanation:
Given the equation [tex]\frac{c-1}{x}+d=cd[/tex], you need to solve for the variable "x":
Subtract "d" from both sides of the equation:
[tex]\frac{c-1}{x}+d-d=cd-d\\\\\frac{c-1}{x}=cd-d[/tex]
Multiply both sides of the equation by "x":
[tex](\frac{c-1}{x})x=x(cd-d)\\\\c-1=x(cd-d)[/tex]
Divide both sides of the equation by [tex](cd-d)[/tex]:
[tex]\frac{c-1}{cd-d}=\frac{x(cd-d)}{cd-d}\\\\\frac{c-1}{cd-d}=x[/tex]
Factor out "d" in the denominator and simplify. Therefore:
[tex]\frac{(c-1)}{d(c-1)}=x\\\\x=\frac{1}{d}[/tex]
The correct solution for the equation c-1/x+d=cd is x = -1/(cd - c - d). Unfortunately, none of the provided options, 1/d, d, or c/d match this solution.
Explanation:To solve the equation c-1/x+d=cd, we first move the terms involving x to one side and the constant to the other side. So the equation becomes:
-1/x = cd - c - d.
We then take reciprocals on both sides (since we do not want x in the denominator) to get:
x = -1/ (cd - c - d). Thus, the solution of the given equation is x = -1/(cd - c - d).
Unfortunately, none of the options A) 1/d, B) d, or C) c/d match the obtained solution.
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evaluate the expression 91/31
3
6
60,480
362,874
Answer:
The best possible answer is 3.
[tex]91 \div 31[/tex]
is the equivalent to 91/31. When divided, the answer comes out to 2.935483871 which, when rounded up, is 3.
The value of the given expression 91/31 will be; 3. The correct option is A.
What is an expression?Expression in maths can be defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be calculated by;
= 91 / 31
= 2.93
≅ 3
Therefore the value of the given expression is 3. The correct option is A.
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Which system of equations is represented by the graph?
A) y= x2 − 6x − 7
x − y = 1
B) y = x2 − 6x + 7
x + y = −1
C) y = x2 + 6x − 7
x − y = 1
D) y = x2 + 6x + 7
x + y = 1
Answer:
D) y = x² + 6x + 7
x + y = 1
Step-by-step explanation:
Just simply substitute the solution into the equations to confirm their authenticities.
I am glad to help.
Answer:
The answer is D. y = x2 + 6x + 7
x + y = 1
Step-by-step explanation:
Please help me I AM STUCK, and please explain how you get the answer.
Answer:
C) 5
Step-by-step explanation:
[tex]\frac{6x²+19x+10}{2x+5}[/tex]
= [tex]\frac{3x(2x+5)+2(2x+5)}{2x+5}[/tex]
= [tex]\frac{(2x+5)(3x+2)}{2x+5}[/tex]
= 3x+2
which means that if they want us to find what ax+b is, you can figure out that ax+b is similar to 3x+2 and plug in what they want us to solve for, a+b.
ax+b=3x+2 (hence 3=a and 2=b)
wants: a+b
answer: 3+2= 5
hope this helps! :)
question attached below
Answer:
B . [tex]f(x+h)=\frac{x+h}{1+x+h}[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x)=\frac{x}{1+x}[/tex]
Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.
So putting x+h in place of x
[tex]f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}[/tex]
So, option B is the correct answer ..
Simplify:
2[3 - 5(2+1)2 + 5]
Hello! My name is Zalgo and I am here to help you out today. The answer is -44. The real way to solve it is like this --> "2(3-5(2+1)2+5)".
I hope that this helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! XP)
Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Yes, they both partition the segment into a 1:3 ratio.
Yes, they are both the distance from one endpoint to the other.
No, P is the distance from A to B, and Q is the distance from B to A.
No, Q is closer to A and P is closer to B.
Points P and Q are not the same due to their different positions in the division of the directed segment. Point P is closer to A while Point Q is closer to B.
Explanation:Point P and Q are not the same point. In the directed segment from A to B, Point P divides the segment in a way that the ratio of AP to PB is 1:3, meaning Point P is closer to A. On the contrary, Point Q divides the segment from B to A in a way that the ratio of QB to QA is 1:3, implying that Point Q is closer to B. Therefore, P and Q have different positions on the segment.
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No, Point P and Q are not the same. P is closer to A because it partitions the directed segment from A to B, whereas Q is closer to B as it partitions the segment from B to A, taking into account the directionality of the segments.
Explanation:In mathematics, partitioning points on a directed segment refers to dividing the segment into distinct parts according to a given ratio. Point P partitions the directed segment from A to B into a 1:3 ratio, which means P is one part from A and three parts from B. On the other hand, Point Q partitions the directed segment from B to A into a 1:3 ratio, indicating that Q is one part from B and three parts from A.
Given this, P and Q are not the same point. P is closer to point A and Q is closer to point B since the directionality of the segment is taken into account. The direction from A to B is not the same as the direction from B to A, so the points P and Q that partition these segments in a 1:3 ratio will end up at different locations.
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elapsed time five in the afternoon to 1 minute after midnight
Answer:
The elapsed time is 7hrs and 1 minute.
The elapsed time from 5 in the afternoon to 1 minute after midnight is 7 hours and 1 minute, taking into consideration the division of a day into a.m. and p.m.
Explanation:The key to solving this question is first understanding how we measure time in day and night, which are demarcated by a.m. and p.m.. Each cycle of 24 hours is divided into two parts: 12 hours from midnight to noon (a.m.) and another 12 hours from noon to midnight (p.m.).
Let's calculate the elapsed time from 5 in the afternoon to 1 minute past midnight. From 5 p.m to midnight, there are 7 hours. Adding the 1 minute past midnight, the total elapsed time is 7 hours and 1 minute.
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Which is the first step in simplifying the expression 2(7 + 3) + 5?
Answer: The first choice
Step-by-step explanation: You alsways distribute inside the paranethesis, so 2(x+3)+5 > 2x+ (2*3)+5