Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
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 of:
[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].
Question 1:
We have no previous estimate for the population proportion, so we use [tex]\pi = 0.5[/tex].
The sample size is n for which M = 0.015. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.015\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2[/tex]
[tex]n = 4268[/tex]
Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which [tex]n = 2222[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5*0.5}{2222}}[/tex]
[tex]M = 0.021[/tex]
So 2.1%, and the correct answer is given by option c.
What expression defines Sn?
Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?
Help plsssssssssss I’d really appreciate it
Answer:
The answer is the second one. "The distance decreases at a constant rate for the entire time"
Step-by-step explanation:
Miles picked 12 bushels of vegetables in 3 hours. Working at the same rate, how many bushels
can Miles pick in 5% hours?
Plz help
Answer: 22 bushels
Step-by-step explanation:
First find how many bushels can be done in an hour. Then multiply the bushels by the hours
Calculate the amount in an account at the end of one year if the account starts with the principal amount stated below and earns the specified annual rate of interest compounded yearly.
Principal = $3,000 Rate = 4%
Answer:
$3120Step-by-step explanation:
Principal P = $3000Rate r = 4% = 0.04 timesInterest type = compoundNumber of compounds n = 1Time t = 1 yearFuture amount is:
FA = P(1 + r)^(nt)FA = 3000(1 + 0.04)^1 = $3120Which of the following is(are) the solution(s) to |7x +12|= 12?
O A. x = -24,0
O B. x= 24,0
24
O C. X=-
O D. x = 0
Answer:
the answer is B because theres no negative
The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
O 3, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4,3,4,5,4,5,5, 4,5
O 2, 1, 4, 5, 3, 2, 1, 2, 3, 5, 6, 4, 5, 2, 2, 3, 4, 5, 2,7
O 0,3, 4, 2, 1, 4, 0,5, 4, 6, 4, 3, 4, 2, 1, 5, 6, 4, 3,5
4, 7, 8, 9, 0, 6, 5, 6, 8, 7, 1, 2, 3, 4, 5,3,4,6,7,7
Answer:65454545
Step-by-step explanation:
The scores of two basketball teams in 7 games are given below.
Team A: 18, 68, 60, 54, 58, 55, 63
Team B: 52, 62, 54, 71, 49, 54, 22
Based on the data, which statement is correct?
A. Team B scores on average more points than team A because team B
has a greater mean than team A.
B. Team A scores on average more points than team B because team A
has a greater mean than team B.
C. Team B scores on average more points than team A because team B
has a greater range than team A.
D. Team A scores on average more points than team B because team A
has a greater range than team B
Answer:The answer is C
Step-by-step explanation:because to slove from range you have subtract the highest number from the lowest number from each team.Meaning ,that Team A range is 45 ,and Team B is 49 whice means that Team B is automatically the highest,so team B had more scores than team A.
3x-2w cuando x = -1 y w = -3
Answer:
3
Step-by-step explanation:
3(-1)-2(-3)
(I also need an explanation)
Answer: 360000
Step-by-step explanation:yes because they want to reach to faster before the others to come and they have lot of feet that they can use
Explain
Find all the values of x for which the statement is true, |x^2+9|=x^2+9
1.) Apply the distribute property, 3 (2x + 4)
Answer:
6x+12
Step-by-step explanation:
2x*3= 6x
4*3= 12
6x+12
hope this helps
Help please I need help
Answer: z = 12
Step-by-step explanation:
Opposite angles are equal.
So...
5z +8 = 4z + 20
Solve for z...
5z = 4z + 12
z = 12
Please help me with this! No links or files please. I'm using a school computer and it doesn't allow it.
Answer:
The location of (-2.5, 2) on the coordinate plane is one block left of -2 and 2 boxes up.
Step-by-step explanation:
Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now
Answer:
9
Step-by-step explanation:
if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*
The scale of a map is 2 cm: 21 km. Find the actual distance for 9cm on the map.
Answer:
94.5KM
Step-by-step explanation:
Answer:
95 km
Step-by-step explanation:
its obvious tbh multiply divide add
How many classes would Gina need to take for the total cost to be the same at both dance studios
Answer:
How many classes is Gina taking?
Answer:
10
Step-by-step explanation:
right on edge
The triangle is a(n) ___ triangle
Answer:
Acute
Step-by-step explanation:
two of the angles are acute and the other is right.
Pls help Homework is due tomorrow and Im not sure about the answer!
Answer:
The picture isn't clear enough.
PLEASE HELP ASAP 50 POINTS! real answers only or will be reported and deleted!
Find the probability of “landing” in the shaded region of the figures below.
9514 1404 393
Answer:
3/16
Step-by-step explanation:
The radii of the three circles appear to be in the ratios ...
5 : 10 : 20 = 1 : 2 : 4
Then the areas of the circles will be in the ratios that are the square of these:
1 : 4 : 16
The shaded area is the area of the middle-sized circle, less the area of the smaller circle, so is 4-1 = 3 "ratio units". The ratio of that area to the area of the largest circle is the probability of randomly choosing a point in the shaded area:
p(shaded) = 3/16
Answer:
3/16
Step-by-step explanation:
i took the test
A Sociology student investigated the association between a country's Literacy Rate and Life Expectancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)
a) The $$R^2$$ of 64% means that the Literacy Rate determines 64% of the Life Expectancy for a country.
b) The slope of the line shows that an increase of 5% in Literacy Rate will produce a 2-year improvement in Life Expectancy.
Solution :
The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.
a). [tex]$R^2$[/tex] does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.
b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.
The regression model provides the prediction and not the actual values.
А
square has an area of 1 square unit. What is the length of the square?
Answer:
0.25 on each side
Step-by-step explanation:
Step-by-step explanation:
a leak in the pool causes the height of the water to decrease by 0.25 foot over 2 hours after a leak is fixed the height of the water is 4.75 C the equation 4.75 equals x + quotation 0 - -2.5 could be used to find the original height of the water in the pool
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
PLSS HELP PLS EXPLAIN WITH FULL EXPLANATION
Answer:
Cant give sorry
Step-by-step explanation:
I can't give u the answer but I can give u how to find the part of the triangle.
Area of a triangle is Base × High ÷2
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
what is the reciprocal of 453463.432849
Answer: 0.00000220524
Step-by-step explanation:
ONE HUNDRED POINTS PLEASE BE HONEST.
Answer:
12.207
Step-by-step explanation:
a^2 + b^2 = c^2
a and b are legs of the right triangle, c is the hypotenuse.
The hypotenuse squared is equal to the square root of (7^2 + 10^2).
The square root of 149 is around 12.207.
You cannot simplify the square root of 149 so if the question wants it in radical form just input square root of 149.
ANSWER ASAP DONT SEND A FILE. WHAT IS THE TRANSFORMATION??
Answer:
1st one.
Step-by-step explanation:
Find the midpoint of the segment with endpoints of (-4,5) and (1,3) and enter
its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.
Answer:
(-3/2, 4)
Step-by-step explanation:
mid point formula
Which set of ordered pairs is a function? {(1,1),(2, 2), (3, 3), (4,4), (5,5)} {(0,0),(1,1),(1, -1),(4,2),(4, -2)} {(2,1),(2,2).(2,3),(2,4),(2,5)} {(1,5).(2.4),(3,3).(2, 2), (1,1)
[tex] \underline{ \underline{ \large{ \red{ \tt{✧ E\: X \: P \: L \: A \: N \: A \: T\: I \:O\: N}}}}} : [/tex]
❀ Here, We are given relation from A to B [ Suppose ] & We have to identify whether they are function or not from the relation A to B.
{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 )}⇢ This is a function from A to B because every element of Set A has unique image in set B.
{( 0,0 ) , ( 1 , 1 ) , ( 1 , -1 ) , ( 4 , 2 ) , ( 4 , -2 ) }⇢ This is not a function because two of the elements of Set A ( 1 & 4 ) are associated to elements -1 , 1 & 2 , -2 respectively of Set B
{ ( 2 , 1 ) , (2 , 2 ) , (2 , 3 ) , (2 , 4 ) , (2 , 5 )⇢ This is not a function because the element of Set A ( 2 ) is associated to all the elements of Set B.
{ ( 1 , 5 ) , ( 2 , 4 ) , ( 3 , 3 ) , (2 , 2 ) , ( 1 , 1 )⇢ This is not a function because the elements of Set A ( 1 & 2 ) are associated to elements ( 5 , 1 & 4 , 2 ) of Set B respectively.
[tex] \boxed{ \boxed{ \large{ \purple{ \tt{A \: N \: S \: W \: E \: R: \{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 ) \} }}}}}[/tex]
♨ Q. What is function ? How can we identify whether the given relation is a function ?
⟶Function is a special type of relation. Function is the refinement of relation. In a relation from A to B , every element of Set A has only one ( distinct ) image in B. In other words , if no two different ordered pairs have the same first component , then it is a function.
# STUDY TIP :
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[tex] ♪ \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning ☄}}}[/tex]
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