Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.
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.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces
Answer:
224 ounces
Step-by-step explanation:
1 pound is 16 ounces, 14 multiplied by 16 is 224
every pound equal 16 ounces so 14 × 16 = 224
HELPPPP MEEEEEEEEEEEEEEEEE
Answer: what you need
Step-by-step explanation:
I NEED HELP ASAP PLEASE
BRAINLIEST STARS
Simplify:
4+ (15 – 14) X 6
O A. 65
B. 30
O c. 24
D. 10
four tenths plus four ninths
Answer:
38/45
Step-by-step explanation:
4/10+4/9 Simplify.
2/5*4/9 Find a common denominator (45).
2/5*9/9=18/45
4/9*5/5=20/45
18/45+20/45=38/45
Hope this helps and have a great day C:
help me plz.................
Answer:
[tex]\frac{1}{8}[/tex] cup
Step-by-step explanation:
[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]
[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]
[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]
[tex]y=\frac{1}{8}[/tex]
what is the area of a circle
The area of a circle with a radius of r is [tex]pi r^2[/tex]
30 POINTS FOR BRAINLIEST ANSWER!!!!!!!
simplify the following
(4x + 3) (5x + 2)
Answer:
20x^2+23x+6
Step-by-step explanation:
(4x+3)(5x+2)
(4x)(5x)+2(4x)+(5x)3+3(2)
20x^2+8x+15x+6
20x^2+23x+6
Hope that helps :)
Answer:
20x^2 + 23x + 6
Step-by-step explanation:
4x (5x + 2) + 3(5x + 2)
20x^2 + 8x + 15x + 6
20x^2 + 23x + 6
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
twice the difference of v and z
Answer:
me
Step-by-step explanation:
becaus im the bes guy
If I have 2 apples and take away 1 apple, how many peanuts do I have left?
Answer:
Cannot be determined with the information given in and of itself.
Step-by-step explanation:
You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.
I would appreciate Brainliest, but no worries.
Answer:
0
Step-by-step explanation:
if you have 2 and you take one away you have 1,
you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.
Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?
Answer:
2 1/3
Step-by-step explanation:
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
Olaf wants to buy a guitar that costs $600. He makes $3 per day. How many days will it take Olaf to save enough money to buy the guitar
Answer:
200 days
Step-by-step explanation:
600/3 = 200
Answer:
200 days
Step-by-step explanation:
Simple: You divide the cost of the guitar by the amount he gets paid per day. Hope this helps :)
A bag contains 7 red marbles, 8 blue marbles and green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
For this problem you will be multiplying 3 probabilities together: P(#1 is blue)*P(#2 is blue)*P(#3 is blue). For the first probability, we just need to divide the number of blue marbles by the total number of marbles which would be 8/18. For the 2nd probability, we need to remember that we have already removed 1 blue marble so that the number of blue marbles remaining is now 7 and the total number of marbles is now 17 to give us 7/17. We would repeat this process to get the third probability and then multiply all the probabilities together.
The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.
Answer:
[tex]F=6.83\times 10^{-10}\ N[/tex]
Step-by-step explanation:
Given that,
The masses of two balls = 0.8 kg
The distance between masses = 0.25 m
We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]
So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].
An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue
Answer:
0.1739 = 17.39% probability that the cab actually was blue
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Witness asserts the cab is blue.
Event B: The cab is blue.
Probability of a witness assessing that a cab is blue.
20% of 95%(yellow cab, witness assesses it is blue).
80% of 5%(blue cab, witness assesses it is blue). So
[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]
Probability of being blue and the witness assessing that it is blue.
80% of 5%. So
[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]
What is the probability that the cab actually was blue?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]
0.1739 = 17.39% probability that the cab actually was blue
Please help me. im giving 10 pointssss
Answer:
5+y<7
I think
Step-by-step explanation:
Solve the triangle. A = 46°, a = 31, b = 27
Answer:
A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
Step-by-step explanation:
(a/sin(A)) = (b/sin(B)) = (c/sin(C))
we are given
(34/sin(46)) = (27/sin(B))
34sin(B) = 26sin(46)
34sin(B) = 18.702834809
sin(B) = 0.550083377
note use inverse sin function to find angle B
B = 33.372733167 approx 33.4 degrees then
C = 180 - (46 + 33.4) = 100.6
Then, (b/sin(B)) = (c/sin(C))
27/0.550083377 = c/0.982935349
0.550083377 * c = 27 * 0.982935349
0.550083377 * c = 26.539254427
c = 48.245876056 approx 48.2 .
Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
Answer: 40%
Step-by-step explanation:
HOPE THIS HELPS ^^
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X
45
48
42
47
43
Mean=
Standard Deviation =
Answer:
huh what do you mean
Step-by-step explanation:
im really sorry
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
find the volume if the cylinder. round to the nearest tenth if nessesary.
A. 627.5m^3.
B. 843.4m^3.
C. 986.4^3.
D. 1017.9n^3
Question 3
Convert the following proportion score to a percentage: .3852
Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
Helppppp!!!!!!!!! Plz
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
Can someone please help no links and if you can explain thank you so much
Answer:
detail attached
Step-by-step explanation:
I think it asks you to match the corresponding base and height