Answer:
The answer is D
Step-by-step explanation:
Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
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%.
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Joe has four birthday cakes to share between his 24 guests joe doesn't eat cake , but wants to cut them up so that each guest gets an equal piece what fraction is each piece of cake
The fraction of each piece of a cake is 1/6.
Given that, Joe has four birthday cakes to share with his 24 guests joe doesn't eat cake.
We need to find what fraction is each piece of cake.
What are fractions?A fraction represents a part of a whole or, more generally, any number of equal parts. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Now, 4 cakes are shared among 24 guests.
So, 24/4=6
Thus, each cake needs to divide into 6 slices.
Therefore, the fraction of each piece of a cake is 1/6.
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In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the
Answer:
x co-ordinate and y co-ordinate
What is the arc length from 0 to 40 degrees if the radius of the circle is 18 inches long?
Answer:
Step-by-step explanation:
Circumference of circle = 2π18 = 36π inches.
40° is 1/9 of a circle. Arc length = 1/9 of circumference = 4π inches.
I really need help answer a statistical question, can someone please help me
Answer:
C.
Step-by-step explanation:
A statiscal experiment can be repeated multiple times and is usually random. The number of accidents on the street are random each year, and by comparing them to last year's, it always be random.
What is the 100th term in the sequence 5,9,13,17,21
Answer:
13
Step-by-step explanation:
it is on 100th place so 100th term is 13
Answer:
401
Step-by-step explanation:
arithmetic sequence formula: an=a1+d(n-1)
n= term # you're looking for
d= common difference
a1= 1st term in sequence
a100=5+4(100-1)
5+4(99)
5+396
a100=401
Solve for y.
What is the root? If there is none, choose none.
y = 4
y = 5
none
Answer:
y = 5
Step-by-step explanation:
if y = 5 then
(√10-1) -1 = 2
3 - 1 = 2
true
Answer:
y = 5
Step-by-step explanation:
Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her account how much does she have in her bank
help me help me help me help me
Find m angle k please
Answer:
B. = 58°
Step-by-step explanation:
Sum of all angles in triangle = 180°
5x+30°+62°+x+52° = 180°
6x+144° = 180°
6x = 180°=144°
6x = 36°
x = 36°/6
x = 6°
∠K = x+52°
∠K = 6°+52°
∠K = 58°
The answer should be B
Answer:
Angle k = 6 +52 = 58
Step-by-step explanation:
The inside angles of a triangle equal 180 degrees. Therefore, 62° + (x+52°) + (5x + 30°) =180°
Please help due tomorrow please explain if can
HELPPPPPPPPPPPPPPPPPP
Which mechanical waves need a medium to travel through?
Question 3 options:
electromagnetic waves only
mechanical waves do not require a medium to travel through
transverse and surface waves
all mechanical waves need a medium
surface waves only
Answer: transverse and surface waves
Step-by-step explanation:
Which story represents the equation 7 ÷ one fourth = 28? please help
Luke has 7 granola bars and wants to divide them equally to share with his friends. He wants to give each friend 4 granola bars. How many of Luke's friends will get granola?
A. Mario ordered 7 pizzas and wants to divide the pieces equally on plates. He wants to put one fourth of a pizza on each plate. How many plates will Mario need in all?
B.Taylor has 4 bags of candy to divide equally with her friends. She wants to give each friend one seventh of a bag of candy. How many of Taylor's friends will get candy?
C.Lucky has one fourth of a box of brownies and wants to divide it equally among 7 family members. What fraction of the brownies will each family member receive?
Answer:
b
Step-by-step explanation:
Answer:
Mario ordered 7 pizzas and wants to divide the pieces equally on plates. He wants to put one fourth of a pizza on each plate. How many plates will Mario need in all?
Step-by-step explanation:
identify the type of function below?
x f(x)
6 64
7 128
8 256
9 512
10 1024
a. linear
b. exponential
c. other
Answer:
b. exponential
Step-by-step explanation:
2⁶ = 64
2⁷ = 128
2⁸ = 256
2⁹ = 512
2¹⁰ = 1024
f(x) = 2^x
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
How many students were over 145
How many eights make a half
Answer:
Four, because 4/8 = 1/2 There are obviously 8 1/8ths in a whole so half of that amount is obviously 4 1/8ths.
Step-by-step explanation:
Gave above.
Please help me solve
Answer:
s= -2
Step-by-step explanation:
classify the segment in each part below. only use the information given in the figure do not assume measures are equal unless the markings indicate they are
Answer:
i dont know i just need points for more questions sorry
Step-by-step explanation:
need help with number 4
Answer:
Perimeter=18; Area= 18
Step-by-step explanation:
For perimeter, the vertical sides are 3 and the Horizontal sides are 6. So 6+6+3+3= 18
For area, the vertical side is 3 and the Horizontal side is 6, this 6*3=18
31% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answer:
a) 0.222
b) 0.643
c) 0.811
Step-by-step explanation:
flat parts of the solid figures?
Answer:
Hope it's helps uu
Step-by-step explanation:
if wrong then
What is the height of the triangle with an area of 64 square feet and a base of 8 feet?
Answer:
8
Step-by-step explanation:
8*8 = 64
b*h = a
Maggie wants to know how many students in her school enjoy watching sports on TV. She asks all 25 students in her math class and finds that 60% of
her classmates enjoy watching sports on TV. She claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is
Maggie making a valid inference about her population?
O Yes, it is a valid inference because she asked all 25 students in her math class
O Yes, it is a valid inference because her classmates make up random sample of the students in the school
O No. it is not a valid inference because her classmates do not make up a random sample of the students in the school
O No, it is not a valid inference because she asked all 25 students in her math class instead of taking a sample from her geography class
Answer:
yes it is valid influence because he asked all 25 student in her math class
A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13.50, and tickets cost $21.25 per
person, including tax. Which inequality can be used to determine x, the maximum number of people who can go to the amusement park?
Answer:
14
Step-by-step explanation:
First you do 325 - 13.50 , then you just divide 311.50 by 21.25, and because you cant have .6 of a friend its 14 :)
I dont understand what the question is asking me
Answer:
[tex]\huge\boxed{\sf <E = 40\°}[/tex]
Step-by-step explanation:
∠E = 1/2 (mCD - mAB)
Where mCD = 110° and mAB = 30°
∠E = 1/2 (110° - 30°)
∠E = 1/2 (80°)
∠E = 40°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807If a circle has a circumference of 4.6pi what is the area?
Answer:
r = 0.732 d = 1.46 C = 4.6
Step-by-step explanation:
Answer:
16.62
Step-by-step explanation:
formula for area of a circle is [tex]\pi r^{2}[/tex] 4.6 is the diameter and radius is 1/2 of diameter so [tex]\pi 2.3^{2}[/tex] is the equation
The square fountain has an area of 164 meters squared. What is the
length of each side?
What is the value of x in the equation -5.4 = 4x - 1.8 ?
Answer:
0.9
Step-by-step explanation:
can someone please help me find the value of p and q?
Answer:
[tex]q=31.7\\p=28.4[/tex]
Doing all calculations with 3 significant figures.
Step-by-step explanation:
First, we'll obtain the value of 'q', this by realizing how the two angles together form a right triangle with inner angles of 30, 60, 90.
Furthermore, the opposite side of the angle of 30 is 'q' and its adjacent is given as 55. Hence, we can solve for 'q' using tangent as follows:
[tex]tan(30)=\frac{q}{55} =.577[/tex]
We solve for 'q':
[tex]q=.577*55=31.7[/tex]
Now to solve for 'p', we first will calculate what '55-p' is equal to.
First, we realize '55-p' corresponds to the adjacent side to the angle of 50 inside the small right triangle (the one with inner angles of 50, 40, 90) and q (which we now know is 31.7) correspond to the opposite side. Hence, we again use tangent as follows:
[tex]tan(50)=\frac{q}{55-p} =\frac{31.7}{55-p} =1.19[/tex]
We solve for 'p':
[tex]1.19(55-p)=31.7\\65.5-1.19p=31.7\\1.19p=33.8\\p=\frac{33.8}{1.19}=28.4[/tex]