Answer:
369
Step-by-step explanation:
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
What is a margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
To create a one-sample z-interval, the following steps can be followed:
Determine the sample size (n) and the sample proportion p.
Since no sample size or proportion is given in the problem, we cannot proceed with this step.
Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.
Find the critical value (z*) for the level of confidence.
This can be done using a standard normal distribution table or a calculator.
For a 95% confidence level, the critical value is 1.96.
Calculate the margin of error (ME) using the formula:
ME = z x √(p x (1 - p) / n)
Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:
0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)
Solving for n, we get:
n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)
n ≈ 384.16
Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.
Therefore,
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
Learn more about margin of error here:
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find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
please help me with this!!!!!
Answer:
c
Step-by-step explanation:
it c because i said so. and im right so the answer is C
Answer:
C. 3/8
Step-by-step explanation:
To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.
Find q. q-89=121 q= please help
Answer: q=210
Step-by-step explanation:
For this question you have to do the inverse to 'undo' the equation.
So, instead of taking away 89 you have to add it to 121.
q=121+89
q=210
Hope this helps :)
Question Help Suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 2 years is 0.25, and that the probability that a randomly selected person who has recently married for the second time will be divorced within 2 years is 0.5. Take a random sample of 25 people married for the first time and 25 people married for the second time. The sample is chosen such that no one in the sample is married to anyone else in the sample. Why is the binomial model inappropriate for finding the probability that exactly 4 of the 50 people in the sample will be divorced within 2 years? List all of the binomial conditions that are not met.
Answer:
The trial are not dependent
Step-by-step explanation:
The following four conditions must be met before Binomial probability experiment can be define, they are:
[1]. Each trial is independent, [2]. the trial must have two outcomes that is failure or success, [3]. fixed number of trials and [4]. success probability for each trial is the same.
Thus, the number of ways to choose the positions for success is given in equation (1) below as:
P(x) = n Cₓpˣ [1 - p]ⁿ⁻ˣ. ----------------------------------------------------------------------(1).
Where n-x = failure and 1 - p = probability and x = success.
For this question, three of the conditions mentioned above are met except for condition number one. This is so because the events are dependent. Therefore, the binomial condition that is not met is Each trial is independent.
NB: Why the events are dependent is because if the each husband divorce his wife, then the wife is also divorced.
Thirteen less than eight times a number is - 18.
Choose the correct answer below.
A. 8x + 13 = - 18
B. 8(x - 13) = -18
C. 13x - 8 = - 18
D. 13x + 8 = - 18
E. 8x - 13 = - 18
Answer:
C
Step-by-step explanation:
13-8x =-18 with x being a random number apart from zero
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
Here are the ages of 14 adults.
42
35
56
39
40
51
47
38
42
55
42
48
49
41
Draw an ordered stem and leaf diagram for these ages.
Answers
Step-by-step explanation:
Divide the given polynomial by the given monomial.
Answer:
Here is the answer. Solved
can someone please help me figure out this problem. just figure out what 1,2, and 3
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
Joachim has as many marbles as Leanne. Leanne has as many marbles as Alex. If Alex has
36 more marbles than Joachim, how many marbles do they have altogether?
Answer:
76
Step-by-step explanation:
Which equation represents a line which is parallel to the y-axis?
X=-4y
Y=x-3
Y=-7
X=-8
Answer:
x = -8
Step-by-step explanation:
If the line is parallel to the y axis, that means it will be a vertical line.
Vertical lines have an equation of x = , because the line will only go through one x value.
They also will not have a slope, because their slope is undefined.
So, the correct answer is x = -8
Find the equation of this line.
Simplify the fractions.
Answer:
Step-by-step explanation:
Where's the line?
In a survey at a local university, 61% of students say that they get less than the recommended eight hours of sleep per night. In a group of 2700 students, how many would you expect get eight
students get eight or more hours of sleep per night.
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
18
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Jolene can take elther of two roads to return home from school, road 1 or road 2. She can choose to walk, bike, or ride her scooter. She must
choose one road and one mode of travel. The sample space is given as a tree diagram. Complete the sample space.
road 1
scooter
walk
bike
walk
bike
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
returning home
road 2
2021 Edme
bike
Answer:
very left box- road 1
top right box- scooter
bottom right box- walk
Step-by-step explanation:
Answer: answer above me is correct
What is the distance between (3, -2), (2, -4)?
Evaluate 12.3p+11.9r when p=7 and r=8.
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
Find the value of x.
39°
22°
x°
Answer:
13
Step-by-step explanation:
Please help! Thank you.
Answer:
2.478x10^7
Step-by-step explanation:
They give you each radius, so you just add them together.
15,300,000+9,480,000=24,780,000 = 2.478x10^7
(or)
1.53x10^7+0.948x10^7= 2.478x10^7
Stuffed animals at a toy
store are split among 4
shelves. There are 12
stuffed animals on each
shelf. How many stuffed
animals are at the store?
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
48
Step-by-step explanation:
If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48
hi please help!!! i’ll give you a brainless answer (question in picture)
Answer:
Oh easy here is the answer m=21
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation:
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
Elena completed the
hiking trail in 30 minutes. How many calories
did Elena burn?
Answer:
177
Step-by-step explanation:
HELPPP!! WILL MARK AS BRAINLIEST!!
Answer:
30
Step-by-step explanation:
All angles measure up to 180.
3x+2x+1x=180
6x=180
1x=30
Answer:
L = 90
K = 60
M = 30
Step-by-step explanation:
2x + 3x + x = 180
6x = 180
divide by 6
x = 30
3(30) = 90
2(30) = 60
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation: