Answer:
[tex]E = 0.0158[/tex]
Step-by-step explanation:
Given
[tex]n = 5900[/tex]
[tex]x = 1770[/tex]
[tex]CI = 99\%[/tex]
Required
The margin of error (E)
First, calculate proportion p
[tex]p = x/n[/tex]
[tex]p = 1770/5900[/tex]
[tex]p = 0.3[/tex]
Given that:
[tex]CI = 99\%[/tex]
Calculate the alpha leve;
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1- 0.99[/tex]
[tex]\alpha= 0.01[/tex]
Divide by 2
[tex]\alpha/2= 0.01/2[/tex]
Subtract from 1
[tex]1 - \alpha/2= 1 - 0.01/2[/tex]
[tex]1 - \alpha/2= 0.995[/tex]
The corresponding z value is:
[tex]z =2.576[/tex]
So, the margin of error is:
[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]
So, we have:
[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]
Using a calculator, we have:
[tex]E = 0.01577471394[/tex]
Approximate
[tex]E = 0.0158[/tex]
I need help answering this question thank guys
Fred the farmer had a piece of land shown in which he planted vegetables.
i) calculate the length of wire needed to fence the garden if he plans to put two layers of wire around the garden.
ii) what is the area of the vegetable garden?
Answer:
i) 154m
ii) 495m^2
Step-by-step explanation:
2 layers around the garden = 2*perimeter = 2(10+20+12+35) = 2(77) = 154
shape is a trapezium, area = h(a+b)/2 = 18(20+35)/2 = 495
(x/4) + (2x/7 =135 solve it
Answer:
the ans is 252................
m∠AFD=90° . m∠AFB=31°. Find m∠DFE.
A. 87
B. 29.5
C. 31
D. 28
Answer:
D. 28
Step-by-step explanation:
Given:
m∠AFD = 90°
m∠AFB = 31°
Required:
m∠DFE
Solution:
m<AFB = m<CFD (both angles are marked as congruent angles)
Since m<AFB = 31°, therefore,
m<CFD = 31°
m<AFB + m<CFD + m<BFC = m<AFD
Plug in the known values
31° + 31° + m<BFC = 90°
62° + m<BFC = 90°
Subtract 62° from each side
m<BFC = 90° - 62°
m<BFC = 28°
m<BFC = m<DFE = 28° (both angles are marked congruent to each other)
Therefore,
m<DFE = 28°
What percentage of area is above the mean on a normal curve?
Group of answer choices
34%
68%
97.35%
50%
Answer:
z=0
50%
Step-by-step explanation:
Solve the above quadratic equation
Answer:
r = 1
Step-by-step explanation:
Find the intersection.
r = 1
r = 3
r = -1
r = 1
Answer:
r=3, r=1, r= -1
Step-by-step explanation:
48r^3-144r^2-48r=-144
48r^3-144r^2-48r +144 =-144 + 144
48r^3-144r^2-48r+144=0
48(r-3)(r+1)(r-1)
r-3=0 r+1=0 r-1=0
r=3, r=1, r= -1
What is the distance between the following points?
Will give brainliest
Answer:
√65
Step-by-step explanation:
(-6,4) (-5,-4)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-6)]² + (-4 - 4)²
√(1)² + (-8)²
√1 + 64
√65
Needddd annnsssweeerrr
Answer:
90in2
Step-by-step explanation:
3x5x6=90
Answer:
C.90
Step-by-step explanation:
first multiply 3 and 5 which is 15 then times it with 6 which equals 90
What number should be added to -3/2 to get -5/8
Answer: 7 / 8 should be added
Step-by-step explanation:
Let x be the number that should be added
Write the equation
-3/2 + x = -5/8
Add -3/2 on both sides
-3/2 + x + 3/2 = -5/8 + 3/2
x = -5/8 + 3/2
Change the denominator of 3/2 to 8 in order to do addition
x = -5/8 + 12 / 8
x = 7 / 8
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the circle. Use 3.14 for it. E d = 10 cm A = [?] cm2 A=7tr2
Answer:
A=(78.5)cm²
Step-by-step explanation:
d=10
r=10/2=5
A=πr²
A=3.14*5²
A=3.14*25
A=78.5cm²
Answer: d=10cm
According to the formula i.e. A=πr²
first we need 'r'
as r=d/2
hence, r= 10cm/2
r=5cm
put r=5 in formula
=3.14(5cm)²
=3.14×25cm²
=78.5cm²
letter A represents the decimal
Answer:
answer is 0.4
Step-by-step explanation:
represent (-12)+(-8)+14 on a number line
Answer:
-6
Step-by-step explanation:
(-12)+(-8)= -20
-20+14= -6
A parent is buying two types of chocolate truffles for their family. The oldest child can eat twice as much as their younger siblings and prefers white chocolate (W), the younger three like dark chocolate (D) and the spouse likes white chocolate (W). Five white chocolate truffles (W) cost the same as three dark chocolate truffles (D). If the parent bought 6 white chocolate truffles(W) and 10 dark chocolate truffles (D), and spent $34.00, how much was each dark chocolate truffle
Answer:
Each chocolate truffle is $2.125
Step-by-step explanation:
Honestly, I'm not 100% sure if this is correct, and I am truly sorry if this is wrong, but its worth a try :)
PLS SOMEONE HELP ASAP IT'S DUE TONIGHT TY AND ILYSM <3
if the trends in yearly median earnings continues for both men and women. how many years after 1960 will women have a median yearly eating that is greater than the men's? In what year will this occur?
Step-by-step explanation:
yes because women where making the food for the men so they where eating the most foodwrite an equation of a vertical line that pases through the point (-4, 4)
Answer:
x = -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLEAZE HELPPPPPPPPPP
State and prove the converse of the pythagorean theorem using a two-column proof
Answer:
Step-by-step explanation:
I'm from the UK and I'm not familiar with a two column proof, but the following proves the converse.
Draw 2 right angled triangles with the 2 legs = a and b in each case and the longest side = c in one triangle and f in the other.
By Pythagoras a^2 + b^2 = c^2 (Given)
Also in the other triangle a^2 + b^2 = f^2, if it is right-angled.
Therefore a^2 = f^2 and a = f.
So the 2 triangles are congruent by SSS.
So m < C in one triangle = m < F ( the angles opposite the hypotenuse)
Therefore the second triangle is right angled .
This completes the proof.
Help please guys thanks
Answer:
C
Step-by-step explanation:
the answer is C because only C contained it's correct root and power
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
A. because the system of equations actually has only one solution
B. because the system of equations actually has no solution
C.because the graphs of the two equations overlap each other
D. because the graph of one of the equations does not exist
9514 1404 393
Answer:
C. because the graphs of the two equations overlap each other
Step-by-step explanation:
When a system of linear equations has an infinite number of solutions, the equations are "dependent." That means they both describe the same line. The graph will appear to be one line because the lines overlap each other.
__
Additional comment
The Desmos graphing calculator lets the texture of the graph be varied, so we can see that the two lines overlap. In the attached, one equation is graphed as a dotted red line, the other as a solid blue line.
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 women who worked at home, 166 were college graduates. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places. The point estimate for the proportion of college graduates among women who work at home is .
Solution :
a). The point estimate of proportion of college graduates among women who work at home,
[tex]$\hat p =\frac{166}{506}$[/tex]
= 0.3281
99.5% confidence interval
[tex]$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$[/tex]
[tex]$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times (1- 0.3281)}{506}} \right)$[/tex]
[tex]$=(0.3281 \pm 0.0586)$[/tex]
[tex]$=(0.2695, 0.3867)$[/tex]
Plot the following equation using the x- and y-intercepts.
2y+6=0
If both intercepts are zero, find at least one other point. Identify the graph of this equation.
Answer:
option 2
Step-by-step explanation:
A survey showed that out of 600 surgery patients at ABC Medical Center, 8% of them had eye surgery. Find the number of patients that had eye surgery.
Answer:
48
Step-by-step explanation:
.08x600=48
Answer:
Step-by-step explanation:
total patients = 600
% of patients had eye surgery = 8%
Number of patients that had eye surgery ?= x
% of pt that had eye surgery = no. of pt that had surgery/ total number of pt
8/100= x/600
x=(8x600) /100
x= 4800/100
x= 48
Number of patients that had eye surgery were 48
metal is made using copper, zinc and lead in thr ratio 13:6:1 . if the mass of the zinc is 90kg, calculate the mass of the lead
============================================
Explanation:
Let x be the mass of the lead, and this mass is in kg.
The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.
The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.
----------------
We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x
6x = 90
6x/6 = 90/6 ..... dividing both sides by 6
x = 15
So we have 15 kg of lead
Side note: we also have 13x = 13*15 = 195 kg of copper.
If Maya has 5 more than twice as many candies as Katie, which of the following expressions shows the number of candies Maya has?
5c + 2, where c is the number of candies Katie has
5c + 2, where c is the number of candies Maya has
2c + 5, where c is the number of candies Maya has
2c + 5, where c is the number of candies Katie has
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
Let c represent the number of candies that Katie has.
Maya has 5 more than twice as many candies as Katie.
Twice as many candies as Katie can be represented by 2c, and 5 more than this can be represented by 2c + 5.
So, the expression for the number of candies Maya has is 2c + 5.
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
I took the test.
Which is equivalent to 10’6
Answer:
35/5 (if you mean 10.6)
1000000 (if you mean 10 to the sixth power)
0.000001 (if you mean 10/6)
Answer:
There are 126 inches in 10'6
Step-by-step explanation:
take our feet and multiply the value by 12
What is the value of b? -11b + 7 =40 (also there is another question in the bottom of the picture. If you can answer it please do)
Problem 1
The idea here is to follow PEMDAS in reverse to undo what is happening to the variable b, so we can isolate it.
-11b + 7 = 40
-11b = 40-7
-11b = 33
b = 33/(-11)
b = -3
To check this value, plug it back into the original equation. You should get 40 on each side to help confirm the answer.
Answer: b = -3=====================================================
Problem 2
There are two ways we can solve. One method is to use the hint your teacher gave you. So we'll distribute first and then follow the same idea as problem 1
9(p-4) = -18
9p-36 = -18
9p = -18+36
9p = 18
p = 18/9
p = 2
Another method you can use is to follow these steps
9(p-4) = -18
p-4 = -18/9
p-4 = -2
p = -2+4
p = 2
Either way, we get the same result. To check the answer, replace every p with 2 in the original equation. You should get -18 on the left side after simplifying.
Answer: p = 2What is the volume of a cone with a radius of 4 inches and height of 11?
Answer:
184.22
Step-by-step explanation:
I NEED HELP PLEASE! Can someone help me with the last two red boxes please? The rest of the question is for reference. Thank you for your time!
Answer:
I think you can go with:
The margin of error is equal to half the width of the entire confidence interval.
so try .74 ± [tex]\frac{.032}{2}[/tex] = [ .724 , .756] as the confidence interval
Step-by-step explanation:
please help me out with this
Answer:
5<x<29
Step-by-step explanation:
One theorem tells us that if a triangle has two congruent sides and one of the included angle is bigger than the other, the triangle with the included angle that is bigger. has a bigger side than the other.
This is the opposite in this case. The triangles share two sides and we know that the triangle with the side length 18 has a bigger angle than the triangle with the side length 15. So this means that
[tex]48 > 2x - 10[/tex]
Let find the range of x values.
An angle cannot be negative or zero so this means that
[tex]2x - 10 > 0[/tex]
Solve for x.
[tex]2x > 10[/tex]
[tex]x > 5[/tex]
The angle cannot be bigger than 48 so
[tex]48 > 2x - 10[/tex]
Solve for x.
[tex]58 > 2x[/tex]
[tex]29 > x[/tex]
So x must be greater than 5 but less than 29.
What is the area of the pool ?
Answer:
https://brainly.com/question/24258518
Step-by-step explanation:
