Answer:
601 buyers must be surveyed.
Step-by-step explanation:
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]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?
We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.3[/tex]
Rounding up
601 buyers must be surveyed.
find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)
Answer:
Cos(a - b) = 0.959
Step-by-step explanation:
We know that:
Sin(a) = 4/5
Such that a is on the first quadrant (between 0° and 90°)
then:
Sin(a) = 4/5
Asin(sin(a)) = Asin(4/5)
a = Asin(4/5) = 53.13°
And:
Cos(b) = 2/5
Then:
Acos(Cos(b)) = Acos(2/5)
b = Acos(2/5) = 36.67°
Then:
Cos(a - b)
where:
a = 53.13° and b = 36.67°
Then:
Cos(a - b) = Cos(53.13° - 36.67°) = 0.959
For the past three years, Nigel has grown 1 inches each year. How many total inches has he grown in the past three years?
HELP HELP 100 POINTS!! Paola was given the equation y= -x + 3. Which of following is an equivalent representation of the equation.
a. f(x) = -x + 3
b. f(y) = x
c. y = -f(x) + 3
d. f(y) = -x + 3
i also need a explanation
Answer:
a. Is the answer..
Let's solve for y.
y=−x+3
Answer:
y = −x + 3 = y = −x + 3
Hence f(x) = -x + 3 is equivalent to y = −x + 3
Hope it helps
Please mark me as the brainliest
Thank you
math HELPPPO MEEEEE PPZZZZ
Answer:
3x+7x
Step-by-step explanation:
Answer:
D) 3x+7x
Step-by-step explanation:
D) 3x+7x
ill mark brainlist plss help
it is oxygen no doubt about it
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?
Answer:
Step-by-step explanation:
vertex and focus are horizontally aligned, so parabola is horizontal.
focal length p = distance between focus and vertex = 0.25
focus lies to the left of vertex, so the parabola opens to the left.
x = a(y-k)² + h,
vertex (h,k)
a = -1/(4p)
vertex (-6,5)
h = -6
k = 5
p = 0.25
a = -1/(4·0.25) = -1
x = -(y-5)² - 6
What is the radius and diameter of the following circle? 18 cm
Radius = cm
Diameter = cm
If a frozen turkey takes 1 day for every 4 pounds to thaw in the refrigerator and 30 minutes per pound to thaw in a bath of cold water, what is the thaw rate for frozen turkey in hours per pound using each method?
simplify the fraction 84/96
Answer:
The simplest form of 84/96 is 7/8.
Step-by-step explanation:
Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.
Please help ASAP. I need someone to check my Geometry answer and explain why I am right or wrong. REAL ANSWERS ONLY. 20 PTS!
Answer:
you are right
Step-by-step explanation:
Use the law of law of cos
c^2=a^2+b^2﹣2abcos√angle
(2√13)^2=52=4+36-24cos(a)
cos(a) = -12/24 = -1/2
a = 120 degrees
so yes, you are right
what is the answer to 0.657/9 ?
Answer:
the answer is 0.073
Step-by-step explanation:
0.657/9= 0.073
Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?
plz help out zhavia out she keeps on texting me while im trying to work
Answer:
Step-by-step explanation:
increase ≤ 55-43.5
increase ≤ 11.5
Elanor can increase her speed by 11.5 miles per hour.
There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)
Answer: 240
Step-by-step explanation:
Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly
A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?
im confused ab this i didnt learn this
Answer:
90Step-by-step explanation:
30% of 90 = 27
To explain this in a simple way we can check the work
10% of 90 = 9
9 x 3 = 27
what is 20/3 in pounds
Answer: 6 2/3 pounds.
Step-by-step explanation:
Answer:
6 2/3 pounds
Step-by-step explanation:
MK=24, JL= 20, And m
Answer:
Step-by-step explanation:
Answer: need a pic or more info
Step-by-step explanation:
Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?
Answer: Jenny would have to work 5 hours to get $85
Step-by-step explanation:
Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5
Solve for x.
5x + 14 greater than or equal to 54
Answer:
x = 8
Step-by-step explanation:
Answer:
equal, tell me if I'm wrong
6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.
Answer:
8,9,10
Step-by-step explanation:
Hey umm how do you make your stressed mom feel better?
Answer:
Help her around the house.
Step-by-step explanation:
If shes like nice sometimes, then go hug her or give her some water.
Is 4/2 equivalent to 1
Answer:
False
Step-by-step explanation:
4/2 = 2/1 = 2
And 2 ≠ 1
Hence, 4/2 ≠ 1
Hope it helps :)
Answer:
no .
Step-by-step explanation:
4/2 is equivalent to 2 , if it were 2/2 then it would be yes .
Find the slope of the line passing through the two points ( 2, 7) and ( 6, 15)
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
the sum of three and five to the third power times five plus one
The value of the expression 3 + 5³ × 5 + 1 will be 629.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.
The sum of three and five to the third power times five plus one will be written mathematically and will be
⇒ 3 + 5³ × 5 + 1
Simplify the expression, then the value of the expression will be
⇒ 3 + 125 × 5 + 1
⇒ 3 + 625 + 1
⇒ 629
The value of the expression 3 + 5³ × 5 + 1 will be 629.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
1. What is the value of x?
41°
72
Your answer
State whether each pair of expressions are equivalent. Show your work.
5 ( x - 1) and 5x - 1 HELP
Answer:
Both of them are NOT equivalent.
Step-by-step explanation:
Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.
5(x - 1)
= 5x - 5
This tells us 5(x - 1) is not equivalent to 5x - 1.
SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.