Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain
Answer:
yes and no a.a
Step-by-step explanation:
Car A travels the fastest on 1 gallon of gas.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.
Consider us solving for the miles per gallon of individual cars
A. miles driven =140
A gallons= 5
x= 140/5
x= 28 miles per gallon
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their major healthcare concerns. The survey results showed that 579 of the respondents lack confidence they will be able to afford health insurance in the future. (a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future. (Round your answer to two decimal places.) (b) At 90% confidence, what is the margin of error
Answer:
a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
b) The margin of error is of 0.03.
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].
Point estimate:
The point estimate is [tex]\pi[/tex].
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
579 out of 1007 adults. So
[tex]\pi = \frac{579}{1007} = 0.575[/tex]
Rounding to two decimal places, 0.58
The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
(b) At 90% confidence, what is the margin of error
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]
[tex]M = 0.03[/tex]
The margin of error is of 0.03.
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
If you can drive 340 miles in 5 hours, what is the unit rate? *
(2 Points)
Enter your answer
which inequality is true p=3.4
uhhh...p=3.4 is already simplified.
---
hope it helps???
Please need help thank you
Answer:
9
Step-by-step explanation:
Answer:
9 clients ran at least 2 laps
Step-by-step explanation:
5 clients ran 2 laps, and 4 clients ran 3 laps
The Total cost to rent 5 chairs and 3 tables is $31 dollars. What is the cost to rent each chair and each table? No links please
Answer:
b
Step-by-step explanation:
Whoever responds first will get marked Best!
Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.
Part B. What is the volume of the water in the pool?
a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft
Answer:
Part A:
I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft
Part B:
a. 3750 ft
L
1) Factor the rational function.
22-4
22-50-14
X intercept
Answer: i dont know
Step-by-step explanation:
How many cannonballs are there in the eighth figure
Answer:
36
Step-by-step explanation:
The cost of 3 DVD's and 4 CD's is £62.00. The cost of 4 DVD's and 3 CD's is £64.00. Find the cost of each.
Help!!!
Answer:
the cost of each is £10 and £8 respectively
Step-by-step explanation:
Let us assume the cost of per DVD be x
And the cost of per CD be y
Now as per the question
The following equations should be made
3x + 4y = £62.00
4x + 3y = £64.00
Now multiply by 4 in equation 1 and 3 in equation 2
12x + 16y = £248
12x + 9y = £192
7y = £56
y = £8
Now put the value of y in any of the above equation
3x + 4( £8) = £62
3x + £32 = £62
3x = 30
x = £10
Hence, the cost of each is £10 and £8 respectively
00:00
The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each
term to the example it best describes. Each tile may be used only once.
Representative Sample
Population
NOT a Representative Sample
Term
Example
Drivers who reside in Middlefield
Residents of Middlefield
Residents randomly chosen from the town register
Answer:
Matching Tiles with Terms:
Term Example
NOT a Representative Sample Drivers who reside in Middlefield
Population Residents of Middlefield
Representative Sample Residents randomly chosen from the
town register
Step-by-step explanation:
Population includes all the residents of Middlefield.
Representative Sample is a population subset that accurately reflects the characteristics of the population. For example, the subset of residents who are randomly chosen from the town register is an unbiased and representative sample.
NOT a Representative Sample: For example, drivers who reside in Middlefield do not represent the characteristics of the population of Middlefield.
4. Identify the height of the following triangle?
A.9
B. 5
C. 4
D. 12
Answer:
if u look closely at the doted line it shows the height and the number on the inside right beside it is the height witch the answer would be C
2x - 3
M+
X + 4
X =
?
Answer:
x = 7
Step-by-step explanation:
Both equations have the same value, you have to solve for x
Let's make an equation:
2x-3 = x+4
Now you isolate one of the sides,, I will isolate the x on the first side so I will get rid of both x and 4
2x - 3 = x + 4
-x -x
=
x -3 = 4
Then you have to isolate x, so you add 3 on both sides
x - 3 = 4
+ 3 +3
x=7
So, the answer is x=7
Hope this helps!!
-Ketifa
9 and 11 need help
Mark brainlist
I will do 9 only. You can do 11.
Question 9
sin(60) = x/8
sin(60)(8) = x
4•sqrt{3} = x
x^2 + y^2 = 8^2
(4•sqrt{3})^2 + y^2 = 64
16(3) + y^2 = 64
48 + y^2 = 64
y^2 = 64 - 48
y^2 = 16
sqrt{y^2} = sqrt{16}
y = 4
Do 11 the same way.
Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.
Answer:
she should set up a budget on how much she makes
Step-by-step explanation:
Please help me and happy april fools day! B)
Answer:
A,C,D,F
Step-by-step explanation:
Which two values are solutions of the inequality r≥6?
Select one:
r = 6, r = 9
r = −7, r = −8
r = 3, r = −10
r = 4, r = −2
Answer:
r = 6
r = 9
Step-by-step explanation:
“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.
Answer:
Step-by-step explanation:
It is easy to see that (-2, 0) and (0, -4) are points on the line.
gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) = -2
.....................help
9514 1404 393
Answer:
-0004.00
Step-by-step explanation:
The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...
slope = rise/run = -4/1 = -4
Lina needs to write a 25-page report for homework. Last week she wrote 9 pages. She has 5 days left to finish the report. If she writes the same amount each day, about how many pages does she need to write each day to finish the report?
A. 3
B. 5
C. 2
D. 1
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/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.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
-1/3*12+14=2/3*12+2=
Answer:
10=10
Step-by-step explanation:
_1(12)+14=2(12)+2
3.
plzzzz help will
get brainliest
Determine whether the given scenario meets the criteria of a binomial distribution. If not, identify the requirement that is not satisfied. If there is more than one requirement that is not satisfied, please indicate this by selecting the correct choice below. You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
a. Yes, this scenario can be modeled using a binomial distribution.
b. No, there is no fixed number of trials and there are more than two possible outcomes for each trial.
c. No, there are more than two possible outcomes for each trial.
d. No, there is no fixed number of trials.
Answer:
c. No, there are more than two possible outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
Only two possible outcomes, success or failure.
In each trial, the probability of a success must be the same.
The number of trials must be fixed.
You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
There are 10 trials, which is a fixed number and respects the binomial distribution. However, there are five possible outcomes(numbered 1 to 5). Since there is more than two possible outcomes, the scenario cannot be modeled using a binomial distribution, and the correct answer is given by option c.
x2 – 12x = 39
Please help me solve this! I need the answer ASAP
Answer:
x = 6 ± 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² - 12x = 39
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 6)x + 36 = 39 + 36
(x - 6)² = 75 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )
x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form
Answer:
x = 6 ± 5* OR 6 - 5*
Step-by-step explanation:
In decimal form it would be either 14.66025403... or -2.66025403
Hope this helps!
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
The large rectangle below represents one whole.
What percent is represented by the shaded area????
Answer:
40%
Step-by-step explanation:
Because there are 5 rectangle total, we can dive 100% into 5 parts.
Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.
Graph the inequality n > 1.8
Answer:
Open circle going right. <-- graphed
Step-by-step explanation:
1billion is the correct answerStep-by-step explanation:
Please help me with this
