According to the information given, using the z-distribution, it is found that a sample of 1066 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions, according to the z-distribution.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, the estimate is of 52%, hence [tex]\pi = 0.52[/tex].
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The minimum sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.52(0.48)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.52(0.48)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.52(0.48)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.52(0.48)}}{0.03})^2[/tex]
[tex]n = 1065.4[/tex]
Rounding up, a sample of 1066 is needed.
A similar problem is given at https://brainly.com/question/14515126
you must sell no fewer than 20 raffle tickets for a fundraiser
Answer:
Why? And what fundraiser? I think I need more details.
Step-by-step explanation:
Next time read the question again.
Consider the system of equations:
-2x + Ky = 26
13x - 6у = -7
Find all values of k for which the system has exactly one solution. Choose "does not exist" if such a k does not exist.
Answer:
Step-by-step explanation:
First of all, if the system of equations has exactly one solution, then the graph of these two equations will intersect at exactly one point, which means their slopes will be different. If the slopes are the same, there could be infinitely many solutions or no solution.
Rearrange the first equation to solve for slope of [tex]-2x+ky=26[/tex]
y = (2/k)x + 26/k
The slope is 2/k.
The slope of the second equation is 13/6
as long as 2/k does not equal to 13/6, we have exactly one solution.
SO, the last step:
[tex]\dfrac{2}{k} \neq \dfrac{13}{6}\\[/tex]
[tex]k \neq \dfrac{2}{\dfrac{13}{6}}[/tex]
[tex]k\neq \dfrac{12}{13}[/tex]
54x+64≥49x+59 solve for x
If a disease that occurs infrequently and with seemingly random distribution i nboth time and space, it would be termed
Answer:
Sporadic refers to a disease that occurs infrequently and irregularly. Endemic refers to the constant presence and/or usual prevalence of a disease or infectious agent in a population within a geographic area.
Step-by-step explanation:
Suppose one card is drawn at random from a standard deck.
Answer each part. Write your answers as fractions.
(a) What is the probability that the card drawn is a seven?
(6) What is the probability that the card drawn is a diamond?
(c) What is the probability that the card drawn is a seven or a diamond?
Answer:
a) 4 cards out of 52 will be seven, therefore 4/52 = 1/13
b) 13 cards out of 52 will be diamonds, therefore 13/52 = 1/4
c) 13 diamonds, and 3 seven (1 seven already diamond), therefore 16/52 = 4/13
Step-by-step explanation:
A. Only Sequence A
B. Only Sequence B
C. Both
D. Neither
Answer:
THE CORRECT ANSWER IS LETTER B.
Step-by-step explanation:
I HOPE IT'S HELP
HAVE A NICE DAY & NIGHT
How many numbers between 24 and 719 are divisible by 3 and 4? Use Counting and Probability from Discrete Mathematics.
Please fast no link or bot 1 volcauray the one at the top do all question at the screen.
a) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the function y= -1.5x. The functions are expressed by the formulas.
y = -1.5x + 6, y = 0.5x-6
b) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the function y= -1.5x. The functions are expressed by the formulas.
y = 0.5x+4, y = 0.5x, y = 3+1.5x
a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
Linear functions are expressions of the following form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - y-Intercept.Two lines are parallel if and only if they have the same slope but distinct intercepts. and two lines intercept each other when they have distinct slopes. Now we proceed to present the solution for each point:
a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/14165558
A pizza is cut into 10 equal slices.
Eight friends each eat 1 slice.
How much of the pizza did the
friends eat?
Step-by-step explanation:
8 is the answer for this bababababa
Please help missed this lesson
Answer:
m∠ABD = 24°, m∠CBD = 24°, m∠ABC = 48°
Step-by-step explanation:
3x+6=7x-18
3x-7x=-18-6
-4x=-24
x=24÷4
=6
Hence, ∠ABD = (3x+6)°
= [3(6)+6]°
= (18+6)°
= 24°
Hence, ∠CBD = 24°
Hence, ∠ABC = 24°×2
= 48°
How can i get help
Really need this right now
Answer:
You should try brainly tutor its free to everyone if you haven't used it before but you can only use it once. they have free online live tutors helping you and stopping when you have a question. There also really nice (LIKE REALLY)! if you really enjoy it you can buy it monthly or yearly probably I really need help but no one helped me so I just used brainly tutor and they did step by step really good you should try it if you haven't already
Thanks for reading this!
The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 369 inches. Find the lengths of the sides of the two squares.
Your charges will be $75.00 per month throughout the 2 years, so at the end of that time you will have paid?
Answer:
$1800
Step-by-step explanation:
twelve months in a year 12*2=24
75*24=1800
Answer:
$1800
Step-by-step explanation:
2 years is 24 months
75*24=1800
0=x^2-10x+10 rewritten by completing the square ?
Answer:
0 = x^2 - 10x + 10
1) Rewrite the equation by completing the square.
Your equation should look like (x + a)2 = b or (x - c)2 = d.
2x+7=10 solve x simplify your answer
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2x+7=10 (subtract 7 from both sides)
2x=10-7
2x=3 (divide both sides by 2)
X=3/2
Simplify
X= 1.5 or 1 1/2
SOLVE PLEASEEE (FOR 20 POINTS)
for a ratonal, the expression only makes sense if the denominator is not 0, since if that occurs then the expression becomes undefined, a division by 0 is always undefined, for this case, when does that occur? Let's set the denominator to 0 and solve for "x".
[tex]\cfrac{\sqrt{2}}{\sqrt{x-1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{setting the denominator to 0}}{\sqrt{x-1}=0\implies (\sqrt{x-1})^2=0^2}\implies x-1=0\implies x=1[/tex]
well then, let's see what happens when x = 1
[tex]\cfrac{\sqrt{2}}{\sqrt{x-1}}\implies \cfrac{\sqrt{2(1)}}{\sqrt{1-1}}\implies \cfrac{\sqrt{2}}{\sqrt{0}}\implies \cfrac{\sqrt{2}}{0}\leftarrow und efined[/tex]
so the only values that makes sense is anything but x < 1, because a smaller value of 1 will give us an imaginary value from the root, so the only values that makes sense are namely { x | x ∈ ℝ; x > 1 }
please help me, i will mark the brainliest pls!
9514 1404 393
Answer:
yes5 × (6 - 3) = (5 × 6) - (5 × 3)Step-by-step explanation:
The distributive property tells you the factor outside parentheses multiplies each of the terms inside parentheses.
The difference 6 -3 inside parentheses has two terms, and there is a factor of 5 outside those parentheses. The setup for the distributive property is there, so the distributive property can be used.
__
The outside factor multiplies each inside term. The sign can be left with the inside term, or can be placed between the products.
5 × (6 - 3) = (5×6) - (5×3)
__
or
5 × (6 - 3) = (5×6) +(5×(-3))
"
plzzz help
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need help plzz
ok very fast in a hurry
Answer:
no
Step-by-step explanation:
A bag contains 12 counters numbered from 1 to 12. If a counter is picked at random, find
the probability that is: even, a cube number, prime or odd?
Answer:
Step-by-step explanation:
even (2, 4, 6, 8, 10, 12) = 6/12 = 1/2
cube (1, 8) = 2/12 = 1/6 (although all numbers are a cube of something, just not a whole, or even rational, number)
prime (1, 2, 3, 5, 7, 11) = 6/12 = 1/2
odd (1, 3, 5, 7, 9, 11) = 6/12 = 1/2
14.
Write an equation in point-slope form for the line through the given point with the given slope.
(–10, –1); m = -1
A. y + 10 = -(x + 1)
B. y + 1 = -(x + 10)
C. y – 1 = -(x – 10)
D. y – 1 = -(x + 10)
Answer:
B.)y+1= -1(x+10)
Step-by-step explanation:
y+1= -1(x+10) so the correct choice would be B.
Answer:
B. y + 1 = -(x + 10)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = − x − 11
Point-slope form: y + 1 = − 1 ⋅ ( x + 10 )
1200 loan 6 months at 7% monthly payment is 204.10
Answer:This would be 1
Because 1 plus 1 equals 2
Step-by-step explanation:
That was fun
Are the graphs of 3x-6y=12 and y=1/2x-2 parallel, perpendicular, or neither
Answer:
It will be parallel
Step-by-step explanation:
3x-6y=12
-6y= -3y+12
y= 1/2y+12
1/3 plus 1/5 plus 1/2
Answer:
=31/30 hope it was very helpful
Step-by-step explanation:
1/3+1/5+1/2
=8/15+1/2
=31/30
Answer:
=31/30 hope it was very helpful
1/3+1/5+1/2
=8/15+1/2
=31/30
Step-by-step explanation:
Graph the ordered pairs for y=2x+4 using x={-2,1,2}
Answer:
Here is it hope you understand it :)
Original price of a bicycle $1,600.00 Discount 35.3% Tax 1%? Find the selling price of each item ???
Help meee this is for an important test
Please help I’m stuck on this for hours!!
750 m - 150cm
A. 600cm
B.1000cm
C.7650cm
D.74,850
Answer:
D
Step-by-step explanation:
First, convert 750 meters to centimeters:
75,000cm
Next, take away 150cm from 75,000cm:
74,850cm
The answer is D.
21
15
10
What’s the next number to this pattern
Answer:
here's one possibility
Step-by-step explanation:
21 - 6 = 15
15 - 5 = 10
10 - 4 = 6
6 - 3 = 3
3 - 2 = 1
1 - 1 = 0
A whale shark can weigh up 47,000 pound. Write this number in scientific notation
Step-by-step explanation:
[tex] = 47.000[/tex]
[tex] = 4,7 \times 10.000 [/tex]
[tex] = 4,7 \times {10}^{1+1+1+1} [/tex]
[tex] = 4,7 \times 10^4 [/tex]
please help me !!!!!!
1. 12a-6b + 4
2. 4x-2y
3.c - 33
4.3x +2
Answer:
I dont know sowy i jus nedd moar pointses
Step-by-step explanation:
