Answer:
x = 2
Step-by-step explanation:
A marketing research company desires to know the mean consumption of milk per week among people over age 45. They believe that the milk consumption has a mean of 4.2 liters, and want to construct a 98% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.6 liters, what is the minimum number of people over age 45 they must include in their sample
Answer:
The minimum number of people over age 45 they must include in their sample is 305.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 0.6 liters
This means that [tex]\sigma = 0.6[/tex]
What is the minimum number of people over age 45 they must include in their sample?
This is n for which M = 0.08. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]
[tex]0.08\sqrt{n} = 2.327*0.6[/tex]
[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]
[tex]n = 304.6[/tex]
Rounding up:
The minimum number of people over age 45 they must include in their sample is 305.
Please helpppp meeee
What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?
Answer: 117
Step-by-step explanation:
first comment on first response!!! Thank you btwww!
A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?
Answer:
X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.
Step-by-step explanation:
Hope this helps
Answer:
0.9728
Step-by-step explanation:
We have 2 options for the system to fail - no components work, or only one works.
The probability that no components work is:
[tex]0.2^4 = 0.0016[/tex]
The probability that one SPECIFIC component works and the others failed is:
[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]
And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:
[tex]4 \cdot 0.0064 = 0.0256[/tex]
So we sum the probabilities:
[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation:
2 1/5 + 6 4/5 pls help
Answer:
2 1/5 + 6 4/5
= 2/5 + 24/5
= 26/5
= 5.2
Answer:
[tex]8\frac{5}{10}[/tex]
Step-by-step explanation:
[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]
Let me know if this helps!
Help,,,,,,,,,,,,,,,........
What is the value of 4+2 +6r – tr when t =
=
- 3 and r = 5?
Enter your answer in the box.
you first substitute your values t and r ...Use BODMAS method ...Your final answer must be 51
This graph represents the height a baseball travels in t seconds.
How long is the height of the ball increasing?
0.5 seconds
1 second
2.4 seconds
30 seconds
Suppose y varies directly with x and inversely with z. If y = 14 when x = 7 and z = 3, what is x when y = 3 and z = 8? Use the step-by-step process you learned to solve this problem.
Step 1: Set up the correct type of variation equation.
y =
✔ kx/z
Step 2: Determine the constant of variation.
k =
Answer:
The constant of variation k is 6 and the value of x is 4.
Step-by-step explanation:
What is constant of variation?
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
What is direct variation?
A direct variation is a proportionality relationship in which two quantities follow a direct relationship.
What is inverse variation?
Inverse variation states when one variable increases then the other variable decreases.
Given,
y=14 when x=7 and z=3
The variation equation is,
y=kx/z
Inputting the values,
14=(k*7)/3
14*3=7*k
42=7k
k=6
When y=3, z=8 we will find x.
y=kx/z
3=6*x/8
3*8=6*x
x=24/6
x=4
Hence, the value is 4.
To know more about constant of variation, direct variation, inverse variation here
https://brainly.com/question/11733777
#SPJ2
IF YOU ANSWER ALL THESE QUESTIONS I WIL LGIVE YOU BRAINIEST AMD 40 POINTS COME UP WITH PROBLEMS THANKS
Answer:
WHY YOU ARE ALWAYS SAY THAT CAN YOU WHOLE QUESTION..
B
130 ft
10°
19°
A
D
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/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.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
What is (14x^2– 27x+9) / (7x-3)?
A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33
Answer:
B. 2x - 3
Step-by-step explanation:
[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]
[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]
[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]
Answer:
[tex]\tt{}2x - 3[/tex]
Step-by-step explanation:
[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]
[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]
[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]
[tex]\tt{}2x - 3[/tex]
Find the area of the sector.
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
Week 5 Test Taking skills, Page 2
Name
3
Rodrigo bought a sheet of shark stickers. He used 8 of the 32 stickers to decorate his science project about
sharks.
Shark Stickers
DO
How many shark stickers did Rodrigo use on his science project?
A
24
B
18
с
20
D
30
It’s number 3
Answer:
20
Step-by-step explanation:
5/8 of 32
5/8×32=20
remember of means multiply
HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT
HELP ASAP A factory makes car batteries. The probability that a battery is defective is is.
If 400 batteries are tested, about how many are expected to be defective?
A. 25
B. 40
C. 16
D. 375
375 is the ansewer wwrhttttttttttttttttttt
Answer:
25
Step-by-step explanation:
Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours
COMBINE ALL LIKES TERMS.
r+r+r+r
r+3r+2
Answer:
r+r+r+r=4r
r+3r+2=4r+2
Step-by-step explanation:
1. r+r+r+r
r+r+r+r
=(r+r)+(r+r) ⇔ Group two together
=2r+2r ⇔ Simplify
=4r
2. r+3r+2
r+3r+2
=4r+2
Hope this helps!! :)
Please let me know if you have any quesitons
Answer:
8r+2
Step-by-step explanation:
Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for 11 hours.
i. Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
ii.
Write down the fraction of a day that she is not being exercised.
Answer:
I:23/48
ii 25/48
Step-by-step explanation:
30min=0.5hr
total time exercised: 11+0.5=11.5hr
Divided by total hours of a day:
11.5/24=115/240=23/48
ii:(48-23)/48
500 people are asked if they drink coffee.
9
10 say Yes.
20% of the people who say Yes drink at least three cups each day.
(b)
What fraction of the 500 people drink at least three cups of coffee each
day?
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
2/10
The mixed number 2 5/6 is equivalent to a fraction with a
denominator of 6.
What is the missing numerator in the equivalent
fraction?
Answer:
6 x 2 = 12 then add 5, answer is 17
Round 329,167 to the nearest hundred
Answer:
329,200
Step-by-step explanation:
Answer:
329,200
Step-by-step explanation:
Select the correct answer.
The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?
A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset
Answer:
Is there an image? I cant figure it out without the image
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer:
B
Step-by-step explanation:
brainliest?
blank plus 1/2 equals to 2/3
Answer:
1/6 + 1/2 = 2/3
Step-by-step explanation:
If I get 9 books for $36 of much does one cost
Brainliest for correct answer
Answer:
V =1884 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 10) ^2 * 6
V = pi ( 600) in^3
Using 3.14 for pi
V = 3.14 * 600 in ^3
V =1884 in ^3
A $45 pair of shoes is on sale for 20% off. How much money is saved?
Answer:
$9
Step-by-step explanation:
It takes Paul 9 hours longer than Li Ming to paint a house. Working together they can do the job in 20 hours. How long would it take Li Ming, working alone, to paint the house ?
Li Ming can paint the whole house in 10 hours