Answer:
Normal distribution.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.
PLEASE ANSWER EXTRA POINTS AND NAMED BRAINLIEST

Answer:
5,8 8,3
Step-by-step explanation:
hoped this helped <33
What is the value of x in trapezoid ABCD?
Answer:
15
Step-by-step explanation:
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
answer (10-4)x4+8 and i will give u brainlyest and 100pts :>>
Answer:
(10-4)*4+8
=6*4+8
=24+8
=32
Answer:
32
Step-by-step explanation:
Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]
Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].
Finally when we add the last 2 terms together we get our answer of 32.
Hope this helps!
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
0
1
more than one
9514 1404 393
Answer:
(c) more than one
Step-by-step explanation:
The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...
more than one
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?
Answer:
0.75 .................
Brainliest for correct answer
I need help please :)
Step-by-step explanation:
The given equation is :
2x = 10
We need to find the value of x.
This equation has one solution as it is a linear equation having one variable i.e. x.
Dividing both sides by 2,
x = 5
So, the value of x is equal to 5.
Put x = 5. So,
2(5) = 10
10 = 10
Hence, this is the required solution.
3. P343. 13. A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who has changed jobs within the past years. (a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? (b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. (c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
Answer:
a) A sample of 385 must be taken.
b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
c) A sample of 246 is needed.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Absence of preliminary data:
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?
A sample of n must be taken.
n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
Dividing both sides by 0.05
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up,
A sample of 385 must be taken.
Question b:
In a sample of 100 workers, 20 of them had changed jobs within the past year.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]
The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
Question c:
Same procedure as question a, just with [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]
[tex]n = 245.8[/tex]
Rounding up
A sample of 246 is needed.
hii help me out please is this a function or not you'll get 50+ brainliest points
Answer:
This is not a function
Step-by-step explanation:
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
What is the slope of the line through (-1, 8) (3, -4)
Answer:
D. -3
Step-by-step explanation:
Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Step-by-step explanation:
1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Answer:
Can I get brainliest please??
Step-by-step explanation:
Find the area of the shaded sector.
158°
Answer:
120 degree in a while and I am fan of the African American women who have served and are fight with you and I am fan of these days and then I will be there in a few days ago y I love u too
Step-by-step explanation:
fftt fight for you to be a good day at work and you are so cute and I am fan of these people are so cute and I am fan of these game and my name was on the phone with my mom is going to be a good day at add me on the phone with my mom is going to be a good day at work and you are so t I don't know what I said it will be there in a few days ago I got the job at the end of my favorite thing in life that is the best thing that I have to be a good day at work and you are so sweet to say that I have to go back to the for us to be a good day at work and I'm so excited about this one is it a Main St apt c u at work and you are not a bad mood today so I can do it for me to come back in my head and I am fan and I am fan on my is on the phone and it is not a type of settlement of the African American women who have participated and are you doing today I am so proud of u and I am fan on my is on the phone number and you can do it for me to come
what is the answer to these questions?
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
Please Help me Due in 2 Mins
The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Answer:
24 blue cars
Step-by-step explanation:
In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;
[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]
Cross products,
[tex]5x = 120[/tex]
Inverse operations,
[tex]x = 24[/tex]
Will give brainliest
Find the probability that a randomly
selected point within the circle falls
in the white area.
W
r = 4 cm
4√2 cm
[? ]%
Round to the nearest tenth of a percent.
Answer:
The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%
Step-by-step explanation:
The given parameters of the area are;
The length of the radius of the circle, r = 4 cm
The length of the side of the inscribed quadrilateral, s = 4·√2 cm
The diagonals of the inscribed quadrilateral = 2 × The radius of the circle
∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square
The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;
The white area = The total area - The area brown square
The total area, A = The area of the circle with radius, r = π·r²
∴ A = π·(4 cm)² = 16·π cm²
The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²
The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²
The probability that a randomly selected point within the circle falls in the white area is therefore;
[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]
By rounding to the nearest tenth of a percent, we have;
The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.
Find the area of the square.
A =
m4
2
A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?
ANSWER ASAP I DONT HAVE MUCH TIME
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?
Answer:
203 more minutes
We know she swam 154 min in first week.
And in two weeks she swam 357 minutes.
We need to figure out x (total of minutes swam in week two)
So do 357=x+154
Subtract 154 from both sides
x=203
Hope this helps
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?
4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?
How do you use coordinates to find the perimeter and area of polygons?
Answer:
You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom
Step-by-step explanation:
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
Pls help ignore my answers :v.
so u r already finished? don't post it next time
mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)
