Answer:
24.5 points
8 points
Step-by-step explanation:
khan academy
The mean is 1.95 and the standard deviation is 2.41 for the given distribution.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The given data as :
Correct question (x) Probability
0 0.05
1 0.20
2 0.50
3 0.25
In this scenario, we must calculate the mean, which is the product of the correct question and the probability. The mean will then be subtracted from the correct question. multiply the difference between the correct question and the mean by probability. This indicates the pay variance. off's The standard deviation of the distribution is given by taking the square root of the variance of the correct question.
Mean = 0 × 0.05 + 1 × 0.20 + 2 × 0.50 + 3 × 0.25
Mean = 1.95
Variance = (0 - 1.95)² + (1 - 1.95)² + (2 - 1.95)² + (3 - 1.95)²
Variance = 3.8025 + 0.9025 + 0.0025 + 1.1025
Variance = 5.81
Standard deviation = √(Variance)
Standard deviation = √(5.81)
Standard deviation = 2.41
Thus, the mean is 1.95 and the standard deviation is 2.41 for the given distribution.
Learn more about the standard deviation here:
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#SPJ2
5y + 3 = 8y − 5 + 2y
Answer:
[tex] \fbox{y = 8/5 } [/tex]
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[tex] \: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3[/tex]
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5
Answer
= 8/5 hope this is fine
HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.
Answer:
7
Step-by-step explanation:
the line crosses the 7 on the y axis
i hope this is correct
1. What is the sum of 9/12 + 4/12?
Answer:
1.08
Step-by-step explanation:
9/12 =.75
4/12-.3333
.75+.3333=1.08
Answer:
13/12 or 1.083333333 3 repeating
Step-by-step explanation:
just put them side to side and add across
4x – 20 = -18
Can someone help with this
Answer:x = 1/2
Step-by-step explanation:
4x-20=-18
(Add 20 on both sides)
4x=2
(Divide by 4 on both sides)
X = 2/4
(Simplify)
X=1/2
1.Identify the mistake in the problem below. Then, correct the mistake.
p-21=34
p-21-21=34-21
p=13
WA
The midline is y=
The amplitude is
The period is
Answer:
The midline is y=-1
Amplitude = 3
The period is 2 units
Step-by-step explanation:
Sinusoidal Function
It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.
The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.
The amplitude is:
[tex]A=\frac{2+4}{2}=3[/tex]
Amplitude = 3
The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.
The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:
ML = 2 - 3 = -1
It can also be found by adding the amplitude to the minimum value:
ML = -4 + 3 = -1
The midline is y=-1
The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.
We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:
The period is 2 units
3 and 8 ?o?
What is the product of
Answer:
the product of 3 and 8? is 24
Answer:
24
Step-by-step explanation:
8+8=16
16+8=24
Perpendicular line from a 90 angle
True or false
Joe bought two cups of coffee and five donut for a total of 60 the next day he bought six cups of coffee and seven donuts for a total of 44 how much does a cup of coffee cost and how much is a donut
Need help ASAP 30 points! Please only serious responses, this is my last assignment in this class.
2. Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town's residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation,
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range
What is the interval estimate of the true population proportion?
(d) Is the community action group's claim likely based on either interval estimate of the true population
proportion? Explain
will help
Answer:
A). Estimate of population 0.61
(b) Margin of error = 0.07 The real population interval estimation is ± 7%.
c). Margin of error = 0.15
d) The real population's interval estimation is ± 15%
e). Yes, the action argument of the group is based on a half-range estimation of the true population. The reason that 62% ± 15% = 47%, or 77%, while 47% is similar to 45%, as the Collective action group states.
Step-by-step explanation:
For the poll of 1000 residents, a newspaper article claims that 62% of the residents is in favor of development of a recreational park has,
(a) The point estimate of the population, 0.62.(b) The interval estimate of the true population proportion is 0.76.(c) The interval estimate of the true population proportion using half range is 0.15.(d) Yes, the community action group's claim likely based on either interval estimate of the true population proportion.What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
(a)The point estimate of the population-Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town.
This will be equal to the population, which is 0.62.
(b) The interval estimate of the true population proportionThe margin of error of the population proportion is found using an estimate of the standard deviation.
The sample is 200 and population, is 0.62. Margin of error for z value 1.96 can be found using the following.
[tex]MOE=z\sqrt{\dfrac{p(1-p)}{n}}\\MOE=1.96\sqrt{\dfrac{0.62(1-0.62)}{200}}\\MOE=0.0672[/tex]
This gives the interval estimate of the true population proportion is 6.72%.
(c) The interval estimate of the true population proportion-The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.
The margin of error of the population proportion using the half the range can be given as,
[tex]MOE=\dfrac{0.76-0.46}{2}\\MOE=0.15[/tex]
The interval estimate of the true population proportion using half the range is 0.15.
(d) The community action group's claim likely based on either interval estimate of the true population proportion-A community action group interested in preserving the environment claims that 45% of the town's residents favor the development of a recreational park.
As, the value of confidence interval is greater than 0.45. Thus, the community action group's claim likely based on either interval estimate of the true population proportion.
Hence, for the poll of 1000 residents, a newspaper article claims that 62% of the residents is in favor of development of a recreational park has,
(a) The point estimate of the population, 0.62.(b) The interval estimate of the true population proportion is 0.76.(c) The interval estimate of the true population proportion using half range is 0.15.(d) Yes, the community action group's claim likely based on either interval estimate of the true population proportion.Learn more about the margin of error here;
https://brainly.com/question/10218601
The area of a rectangular rug is 24 1/12 square yards. The lenghth of the rug is 5 2/3 yards. What is the width?
Answer: 136 17/36
Step-by-step explanation:
PLEASE ANSWER VERY QUICKLY THANK YOU!!!!!!!
Answer:
Step-by-step explanation:
4. D- Nachos are .11 cents an ounce which is the cheapest from all the other options. do this by dividing the money amount by the ounces!
5. B- Al's tomates (.90/6) is .15 cents, Barbra (1.54/11) is .14 cents, so Barbs has a better price
6. C- 1 hour (60 minutes) divided by 12, the minutes we read = 5. Next we multiple 5x5.5(the pages she reads in 12 minutes) and we get 27 1/2!
hope i helped!
20x - 2 = 8
What is X?
Answer:
1/2
Step-by-step explanation:
20 times 1/2 = 10
10-2 = 8
First find the value of the variable in the diagram
The diameter of a car's tire is 5oem. While the car is being driven, the tire picks up a nail. It takes 1
second for the nail to rotate to the top of the tire.
a) Graphically model the height of the nail above the ground over time, from the point it punctures the
tire. Include 3 rotations of the tire in your model.
b) Algebraically model the path of the nail in terms of sine and cosine.
c) How high above the ground is the nail after 6.35 second?
d) At what time(s) in the first 3 rotations of the tire is the nail 13cm above the ground?
e) If the car drives for 6 minutes, how many times will the nail have rotated around the tire?
f) State the domain and range of the path of the nail.
g) What assumptions must you make about the drive in order for the function to accurately model the
nails path?
Answer:
2
3
4
5
6
7
RESULT
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00:04
01:32
Step-by-step explanation:
If the measure of angle 2 is 125 degrees, find the measure of angle 3.PLS HELP
Also can you explain to me?
What is the equation of the line in slope-intercept form?
Answer:
The equation of the line in slope-intercept form is:
y = x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the points on the line graph
(0, 4)(1, 5)Determining the slope between (0, 4) and (1, 5)
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 4] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 1 in the slope-intercept form
y = mx + b
y = (1)x + 4
y = x + 4
Therefore, the the equation of the line in slope-intercept form is:
y = x + 4
You make six posters to hold up at a basketball game. Each poster has a letter of the word TIGERS You and five friends sit next to each other in a rowe
The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters
Answer:
1/720
Step-by-step explanation:
there is only one way to spell tiger but there's 720 outcomes of the other words you can make
The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the letters of TIGERS are given at random.
All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).
So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.
Out of those 720 ways, there is only one correct way to spell TIGERS correctly.
Thus, we get:
P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]
Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
Learn more about probability here:
brainly.com/question/1210781
The translation that moves a figure down 4, to the right 2 is
1. (x + 4, y - 2)
2. (x - 2, y + 4)
3. (x + 2, y - 4)
4. (x - 4, y + 2)
Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.
Answer:
d
Step-by-step explanation:
Answer:
D. all of the above
Step-by-step explanation:
they all give you money.
Can someone help please!! I need to know what X is.
Step-by-step explanation:
AB(x)/DE=BC/EF
AB/25=28/20
20AB=28×25
20AB=700
AB=700/20
AB=35
SO x=35
Choose at least three different careers you are interested in pursuing. Research the education level the career requires, the annual salary for that position, and calculate a lifetime income. Create a table to organize your findings. Submit your completed table.
-----------------------------------------------------------------------------------------------------------------------------
In a paragraph, explain how your research has led to any new thoughts or ideas about what type of education you would like to pursue after high school.
Put them seperate. 15 points
Answer:
The career planning process is ongoing and sequential. Since it is fluid rather than chronological, you move to the next step only when you are ready to do so, and you may move back and forth between steps at any given time. The career planning process is also cyclic. When career change is desired anytime during your work life, you may repeat the process once again. Data from the U.S. Bureau of Labor Statistics indicates that the majority of members of the labor force will make three to four major changes in their career during their 35 to 45 years of working. Because human beings are complex, each of us has unique aspirations, goals, potential for development, and limitations. Although we can follow the same process, career planning outcomes must be individualized.
Step-by-step explanation:
I will give brainlist need answer thx
Answer:
1288
Step-by-step explanation:
S = n/2(2a+(n-1)d)
S = 23/2(2(23)+(23-1)3)
S = 1288
A previous survey reported that 53% of respondents increased their portfolio value over the past 3 years. How large should a sample be if the margin of error is .03 for a 91% confidence interval
Answer:
A sample of 796 is needed.
Step-by-step explanation:
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]
In this question, we have that:
[tex]\pi = 0.53[/tex]
91% confidence level
So [tex]\alpha = 0.09[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.09}{2} = 0.955[/tex], so [tex]Z = 1.695[/tex].
How large should a sample be if the margin of error is .03 for a 91% confidence interval
We need a sample of n, which is found when [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.695\sqrt{\frac{0.53*0.47}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.695\sqrt{0.53*0.47}[/tex]
[tex]\sqrt{n} = \frac{1.695\sqrt{0.53*0.47}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.695\sqrt{0.53*0.47}}{0.03})^{2}[/tex]
[tex]n = 795.2[/tex]
Rounding up
A sample of 796 is needed.
The LA Dodgers hit the most home runs in 2014. The number of home runs accounted for 6% of the entire major league baseball home run count. If 583 total home runs were hit, then approximately how many did the LA Dodgers hit?
Answer: 39
Step-by-step explanation:
6% = .06 so .06 multiplied by 583 is 38.98 rounded is 39
Which fraction can be replaced with 0 when estimating with fractions?
A. 1/5
B. 3/4
C. 8/20
D. 4/9
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
a. a reflection only
c. a rotation and a reflection
d. a translation and a reflection
Step-by-step explanation:
just took the test
Answer:
look at the screen shot :)
Step-by-step explanation:
if a bag contains 24 red candies, 6 blue candies, and 12 green candies which statment is true
On their vacation, Vanessa’s family drove 450 miles in 9 hours. Write and solve a proportion to show how long it would take them to drive 750 miles.
450/9 = 750/x
750 x 9 = 6,750
6,750/450 = 15
It would take them 15 hours to drive 750 miles.
Answer:
15
Step-by-step explanation:
Vanessa's family drove 450 in 9 hours
To find how many miles per hour
450/9 = 50
750/50 = 15
50 x 15 = 750
Answer is 15
18=3+y what dose y equal
Answer:
y = 15
Step-by-step explanation:
Subtract 3 from 18
18 - 3 = 15