A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)
Answer:
The test statistic is z = -2.82.
Step-by-step explanation:
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.
This means that the null hypothesis is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is: [tex]H_{a} > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 tested at the null hypothesis:
This means that:
[tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.
This means that [tex]n = 2027, X = \frac{950}{2027} = 0.4687[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}[/tex]
[tex]z = -2.82[/tex]
The test statistic is z = -2.82.
Please round to nearest hundredth and give explanation.
Answer:
I think PR = 20 but I'm not sure
okay so for the 3 and for its 3 to the 4th power btw
3^4+ 2 ⋅ 5 = ____. (Input whole numbers only.)
Answer:
91
Step-by-step explanation:
3^4 +2 * 5
Using PEMDAS, first we will calculate the exponent.
3^4 = 81
81 +2 *5
Using PEMDAS again, now we will multiply.
2*5 = 10
81+10
=91
The sum of seven and x
Answer:
Step-by-step explanation:
s=7+x
three times the sum of 14 and number (x).
Answer:
3 * 14+x
Step-by-step explanation:
* is an multiplication sign
Hey there!
Your answer is 3(14 + x)
"Three times the" represents multiplying by 3. "the sum of 14 and a number (x)" represents 14 + x, therefore we get 3(14 + x).
Have a terrificly amazing day! :D
do anybody know how to help me cause i really need it right now.
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The surface area is made up of four triangles and a square base, so the area is four times the area of the triangle plus the area of the base.
A=4(5)(6)/2+5(5)
A=60+25
A=85
3 x 3 x 3 x 3 x 3 x 3 as an exponential notation
Answer:
3^6
Step-by-step explanation:
Answer:
3^6
Count how many threes there are and that's the exponent
15a > 75. Substitute 5 for a. PLEASE HELP
Answer:
its equal
Step-by-step explanation:
15 times 5 (a) is 75 soooo 75 is equal to 75 maybe
Find the area of the polygon.
May someone pls help me with this question
Answer:
Step-by-step explanation:
P(BorL)=(2/8)+(1/8)=(3/8)
He is expected to wear boots or loafers in the next 264 days
264(3/8)=99 of those days
Please Help!!! I'll Give Best And Brainliest if it lets me!
Answer:
6
Step-by-step explanation:
this is the answer. have a great day.
Help please plzzzzzzzz
Answer:
60
Step-by-step explanation:
120 + 90 + 90 + 60 = 360
Solve for w. 7(-2w + 3) = 1 - 4w
what is the value of w?
Answer:
w=2
Step-by-step explanation:
-14w + 21 = 1 - 4w
-10w + 21 = 1
-10w = -20
w = -20/-10
w=2
Answer:
20 - 10 W = 0
-7 (2w - 3) = 1 - 4w
21 - 14w = 1 - 4 w
w = 2
HOPE THIS HELPS <3 :) HAVE A NICE DAY
Can someone help me plz? I’ll reward points + brainalist
Answer:for the first one I’m unsure but think it’s b and for the second one its 38 inches
Step-by-step explanation:
The radius is just half the circumference
For 120 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. Each day, she took a sample of 8 bottles. The average across all 960 bottles (120 days, 8 bottles per day) was 46 degrees Fahrenheit. The standard deviation across all bottles was 0.8 degrees Fahrenheit. what would be the center line
Answer:
46° Fahrenheit
Step-by-step explanation:
Center line can be said to be the X double bar. X double bar is the average value we have across all components we're considering. In this question, the X double bar is already given as 960 bottles (if you multiply 120 days by 8 bottles per day) and that it is 46 degrees Fahrenheit.
As such, there exist no reason to want to or have to solve for anything since it's already given.
Therefore the Centre line is 46 degrees Fahrenheit, same as what is given in the question.
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length
a = 30°, s = 9in
Answer:
17.2 in
Step-by-step explanation:
The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:
r = s/Ф
So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in
PLEASE HELP 20 POINTS
1 Which parallelograms have congruent diagonals?
only squares
squares and rectangles
squares and rhombuses
squares, rectangles, and rhombuses
2. Which parallelograns have perpendicular diagonals?
only squares
squares and rectangles
squares and rhombuses
squares, recangles, and rhombuses
Answer:
1) squares and rectangles
2) squares and rhombuses
I'm terrible at fractions I need help
Answer:
4/5
Step-by-step explanation:
Suppose it is known that 23% of students at a certain college participate in a textbook recycling program each semester. Complete parts (a) and (b) below. a. If a random sample of 40 students is selected, do we expect that exactly 23% of the sample participates in the textbook recycling program? Why or why not? Choose the correct answer below. A. We expect that exactly 23% of the sample participates in the textbook recycling program, because that is the percentage of students that participate in the program regardless of sample or population size B. We expect that exactly 23% of the sample participates in the textbook recycling program, because a sample always has the same statistics as the population C. We do not expect that exactly 23% of the sample participates in the textbook recycling program. 23% is a population statistic and you cannot know anything about a sample from the population D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample b. Suppose we take a sample of 400 students and find the sample proportion participating in the recycling program. Which sample proportion do you think is more likely to be doser to 23% the proportion from a sample size of 40 or the proportion from a sample size of 400? Explain your reasoning. Choose the correct answer below A. The sample with size 40 will be closer to 23% because a smaller sample size has a smaller standard error B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error. C. The sample with size 400 will be closer to 23% because a larger sample size has more variation, D. The sample with size 40 wil be closer to 23% because a smaller sample size has loss variation
Answer:
D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample
B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.
Step-by-step explanation:
The mean of sample can be estimated from the population. However, what we only get is the estimated mean of the sample which isn't the exact figure as that of the population. This slight variation in the mean value of the sample is due to sampling error.
According to the Central limit theorem, increasing the sample size yield a sample mean which continously converges to that of the population mean as the sampling error for such distribution drops lower and lower.
The true statements are:
D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.The given parameters are:
[tex]\mathbf{P(Recycling) = 23\%}[/tex]
This means that there is a 23% chance that a student in a college participates in textbook recycling
However, it does not mean that the probability is exactly 23% in a sample of 40 students.
This is so because, there may be error in the sampling of the population.
Hence, the true statement is (d)
According to central limit theorem, as the sample size increases, the sample error reduces.
This mean that the probability will be closer to 23% when the sample size increases to 400
Hence, the true statement is (b)
Read more about probability at:
https://brainly.com/question/11234923
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A movie theater offers many movie selections for its customers. The table below shows a summary of five movies currently offered and whether the movie is appropriate for children.
A 5-column table with 5 rows. Column 1 is labeled Title with entries The Davis Family, Hill House, Danger Zone, Mixed Bag, Closure. Column 2 is labeled Movie Type with entries comedy, drama, drama, comedy, drama. Column 3 is labeled length (minutes) with entries 92, 87, 123, 91, 100. Column 4 is labeled Critics' score with entries 78.2, 45.7, 56.0, 71.8, 67.2. Column 5 is labeled audience with entries adult, youth, adult, youth, adult.
What are the individuals in the data set?
movie titles
movie types
lengths
critics’ scores
Answer:
i think it's B: movie types
Tell me if i am wrong :/ :/
Use the data on the dot plot to answer the question.
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6
Find the area of each triangle o the nearest tenth.
Answer:
A is , 18.1058 B is , 24.91575
Step-by-step explanation:
What is the solution to the equation 4x + 2(x − 2) = 4x + x − 12? (1 point)
Question 13 options:
1)
−8
2)
−1
3)
1
4)
8
Answer:
It's -8
Step-by-step explanation:
DISTRIBUTE :
4x + 2( x - 2 ) = 4x + x - 12
4x + 2x - 4 = 4x + x - 12
COMBINE LIKE TERMS :
4x + 2x - 4 = 4x + x - 12
6x - 4 = 4x + x - 12
COMBINE LIKE TERMS :
6x - 4 = 4x + x - 12
6x - 4 = 5x - 12
ADD 4 TO BOTH SIDES :
6x - 4 = 5x - 12
6x - 4 + 4 = 5x - 12 + 4
ADD THE NUMBERS/ SIMPLIFY :
6x = 5x - 8
SUBTRACT 5x FROM BOTH SIDES :
6x = 5x - 8
6x - 5x = 5x - 8 - 5x
SIMPLIFY :
x = -8
ooooooof i need some help; please explain
Answer:
just say i did it and that it got undone
Step-by-step explanation:
Explain how to solve the equation.
Answer:
or Subtract the same value from both sides.
Clear out any fractions by Multiplying every term by the bottom parts.
Divide every term by the same nonzero value.
Combine Like Terms.
Factoring.
Expanding (the opposite of factoring) may also help.
Recognizing a pattern, such as the difference of squares.
More items...
https://www.mathsisfun.com › algebra
Solving Equations - Math is Fun
A can of paint is a right circular cylinder. The radius of the base is 5 centimeters and the height is 12 centimeters. Find the number of cubic centimeters of paint, in terms of π, contained in a full container.
Answer:
The answer is 300
The number of cubic centimeters of paint contained in the full jar container is n = 300 and the volume is V = 300π cm³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
The volume of a right circular cylinder can be calculated using the formula:
V = πr²h
where V is the volume, r is the radius of the base, and h is the height.
Substituting the given values, we have:
V = π(5 cm)²(12 cm)
V = π(25 cm²)(12 cm)
V = 300π cm³
Hence , a full container of paint contains 300π cubic centimeters of paint.
To learn more about cylinder click :
https://brainly.com/question/16134180
#SPJ2
Explain why (x+1)(3x-6) is NOT a complete factorization of 3x^2-3x-6
Answer:
The real answer is:
3x^2 -6x+3x-6
Step-by-step explanation:
Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39
Step-by-step explanation:
Any answer that involes,
Step 1: Complete the Square
[tex] {x}^{2} - 10x = 39[/tex]
[tex]( \frac{ - 10}{2} ) {}^{2} = 25[/tex]
[tex] {x}^{2} - 10x + 25 = 64[/tex]
Step 2: Turn the left side into a binomial
[tex](x - 5) {}^{2} = 64[/tex]
Step 3: Solve for x.
[tex]x - 5 = + - 8[/tex]
[tex]x - 5 = 8[/tex]
[tex]x = 13[/tex]
OR
[tex]x - 5 = - 8[/tex]
[tex]x = - 3[/tex]
X=-3 or X=13
{{{{{{{{{{{{{{{{{{{{{ HELP QUICK }}}}}}}}}}}}}}}}}}}}}}}}
If I had to find the perimeter of triangle, I would:
Group of answer choices
take the square root of the hypotenuse
multiply all sides together
Add all three side measures together
apply the formula for circumference
Answer:
Add all three side measures together
Step-by-step explanation:
That is how you find the perimeter of most shapes.
Hope this helps! :)
Answer:
add all three aide measures together. I'm not sure but I'd someone give another answer go with it. have a nice day