(x)=x^2 ∛x, then f' (-8)= - 17853341
For a sample of transformers built for heavy industry, the mean and standard deviation of the number of sags per weeks were and , respectively; also, the mean and standard deviation of the number of swells per week were and , respectively. Consider a transformer that has sags and swells in a week. Complete parts a and b below.
1. Would you consider 314 sags per week unusual, statistically? Explain.
A. No. The Z-score is meaning that the number of sags is not unusual and is not an outlier.
B. No. The Z-score is meaning that less than approximately 68% of transformers have a number of sags closer to the mean.
C. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has fewer sags.
D. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has more sags.
E. This cannot be determined, since the IQR is not provided and cannot be found from the provided information.
2. Would you consider 243 swells per week unusual, statistically? Explain.
A. No. The Z-score is meaning that less than approximately 68% of transformers have a number of swells closer to the mean.
B. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has more swells.
C. Yes. The z-score is meaning that this is an outlier and almost every other transformer has fewer swells.
D. No. The Z-score is meaning that the number of swells is not unusual and is not an outlier.
E. This cannot be determined, since the IQR is not provided and cannot be found from the provided information.
Answer:
The correct options are:
(1) A
(2) C
Step-by-step explanation:
The complete question is:
For a sample of 119 transformers built for heavy industry, the mean and standard deviation of the number of sags per weeks were 338 and 22, respectively; also, the mean and standard deviation of the number of swells per week were 174 and 15, respectively. Consider a transformer that has sags 375 and 120 swells in a week.
(1)
A z-score less than -2 or more than 2 are considered as unusual.
Compute the z-score for 314 sags per week as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{314-338}{22}\\\\=-1.091[/tex]
The z-score for 314 sags per week is -1.091.
This value is more than -2.
Thus, the correct option is:
A. No. The Z-score is -1.091 meaning that the number of sags is not unusual and is not an outlier.
(2)
Compute the z-score for 243 swells per week as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{243-174}{15}\\\\=4.6[/tex]
The z-score for 243 swells per week is 4.6.
This value is more than 2.
Thus, the correct option is:
C. Yes. The z-score is 4.6 meaning that this is an outlier and almost every other transformer has fewer swells.
1). The decision regarding the consideration of 314 sags every week unusually would be:
a). No. The Z-score is meaning that the number of sags is not unusual and is not an outlier.
2). The decision regarding the consideration of 243 swells every week every week unusually would be:
c). Yes. The z-score is meaning that this is an outlier and almost every other transformer has fewer swells.
a). Given that
No. of transformers = 119
Mean = 338
Standard Deviation for the week = 22
Now,
z-score for sags = (No. of sags - Mean)/Standard Deviation
[tex]= (314 - 338)/22\\= -1.091[/tex]
Since it is greater than -2, option A is the correct answer.
b). Given that
No. of swells = 243
Mean for swells = 174
Standard Deviation = 15
Now,
z-score for sags = (No. of sags - Mean)/Standard Deviation
[tex]= (243 - 174)/15\\= 4.6[/tex]
Since it is greater than 2, it exemplifies an outlier. Thus, option C is the correct answer.
Thus, options A and C are the correct answers.
Learn more about "Transformation" here:
brainly.com/question/11707700
use the set of clues in the equations below to find the value of each variable .
x + h + b = 14
2 * b = 12
h - x = 2
please help me out thank you!
Each week Scott spends $10 of his allowance at QT. If his total allowance is $25,what percent of his allowance does he spend at QT each each?
Answer:
5
Step-by-step explanation:
bc
Answer:
40%
Step-by-step explanation:
10/25 = x/100
10 × 4/ 25 × 4 = x/100
40/100 = x/100
40 = x
(5x3 - 8x? – X – 4) = (x-2)
Answer: x= 1.4 Hope this helps with your assignment.
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?
A) Choose the equation to match the situation.
A. (0.20)(10) = 0.05x + 0.40x
B. (0.20)(10) = 0.05x + 0.40(10 – x)
C. (0.20)(10) = 0.05(10) + 0.40(10 – x)
D. (0.20)(10) = 0.05(10 – x) + 0.40(10 – x)
B) Solution
??? liters of 5%
??? liters of 40%
formula of Santander deviation .
Answer:
Step-by-step explanation:
Answer:
Work out the Mean(the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the Mean of those squared differences.
Take the square root of that and we are done!
Step-by-step explanation:
71+(-43)-13 give me the answer
Answer:
15
Step-by-step explanation:
combine -43 and -13 to get 66
71-66 = 15
(i)If the circumference of the circle is 88 cm ; Find the diameter.
(Take π = 22/7 )
Circumference of the circle = 88 cm
π = 22/7
To Find:The Diameter of the circle.
Formula:Circumference of circle = 2πr
r = radius
Solution:Circumference of the circle = 2πr = 88 cm
Circumference of the circle = πr = 88/2 = 44 cm
Circumference of the circle = r = 44 × 7/22 = 14 cm
r (radius) = 14 cm
d (diameter) = 2r = 2(14) = 28 cm
Answer:Diameter of the circle = 28 cm
HELP!!!!!!! MATH QUESTION FOR 40) POINTS!!!!!!
Abe is buying wrapping paper.
He is shopping for the best deal.
Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot. (Just put from least to greatest)
Red: 12.5 square feet for $1.79
Blue: 40 square feet for $5.29
Green: 50 square feet for $8.49
Orange: 60 square feet for $6.00
Answer:
1)Green
2)Red
3)Blue
4)Orange
Is 7.711 a rational number?
Use the clues to find the mystery number. The mystery number is –
• 1,000 when rounded to the thousands place;
• 800 when rounded to the hundreds place; and
• 770 when rounded to the tens place.
Which of the following could be the mystery number?
• 741
775
765
> 779
K BACK
QL
===========================
Explanation:
If we rounded 741 to the nearest tens, then it would round to 740. But we want 770. So we cross this off the list.775 rounds to 780 when rounded to the nearest tens. This is crossed off as well.765 rounds to 770 when rounding to the nearest tens place, it also rounds to 800 when rounded to the nearest hundreds place. Finally, 765 rounds to 1000 when rounded to the thousands place. This shows why 765 is the answer. Other possible answers include {766, 767, 768, 769} if we're only allowed to deal with whole numbers. The number 779 rounds to 780 when rounding to the nearest tens place. So we cross this off the list.3 (x - 2) = 7 – (4 - x)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=92x=92
Decimal Form:
x=4.5x=4.5
Mixed Number Form:
x=412x=412
the answer is x = 9/2
explanation
3 (x - 2) = 7 – (4 - x)
apply the distributive law to 3(x - 2)
to get 3x - 6
simplify 7-(4-x)
3 + x
you now have
3x - 6 = x + 3
add 6 to both sides
-6+6=0 3 + 6 = 9
3x=x+9
subtract x from both sides
3x - x = 2x x - x = 0
2x = 9
divide both sides by 2
2x/2 = x 9/2
to get x = 9/2
A pharmaceutical company is interested in testing the effect of humidity on the weights of pills sold in a new aluminum package. Let X and Y denote the weight of a pill in the old aluminum package and in the new aluminum package (respectively) after the packaged pill has spent one week in chamber kept at 30 °C and 100 % humidity. Define a null and alternates hypothesis to test whether the old aluminum package pills weigh less than the new aluminum package pills following the humidity-chamber treatment. The following random samples of X yielded the following weights in milligrams:
373.2 376.7 381.6 382.1 388.7 384.0
397.9 389.8 385.1 371.3 383.5
and the following random sample of Y yielded the following weights in milligrams:
395.5 384.8 383.5 386.5 394.8
391.6 397.7 384.0 391.7 398.8
Define a critical region with a significance level of alpha = 0.05 and calculate the value of the test statistic. Accept or reject the null hypothesis and then state a scientific conclusion about the packaged-pill humidity experiment.
Answer:
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
The test statistics is [tex]t = -2.65[/tex]
Reject the null hypothesis
There is sufficient evidence to conclude that the weight of the old aluminium package pills is less than the new aluminium pills.
Step-by-step explanation:
From the question we are told that
The data for X is 373.2 , 376.7 , 381.6 , 382.1 , 388.7 , 384.0 , 397.9 , 389.8 ,385.1 , 371.3 , 383.5
The data for Y is 395.5 , 384.8 , 383.5 , 386.5 ,394.8
, 391.6 , 397.7 , 384.0 , 391.7 , 398.8
Generally the sample mean for X is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{373.2 +376.7 +\cdots + 383.5}{11}[/tex]
=> [tex]\= x = 383.08 [/tex]
Generally the sample mean for Y is mathematically represented as
[tex]\= y = \frac{\sum y_i }{n}[/tex]
=> [tex]\= y = \frac{395.5 +384.8 +\cdots + 398.8}{10}[/tex]
=> [tex]\= y = 390.89 [/tex]
Generally the standard deviation for X is mathematically represented as
[tex]\sigma_1 = \sqrt{\frac{\sum (x_i - \= x_1 )^2}{n} }[/tex]
=> [tex]\sigma_1 = \sqrt{\frac{( 373.2 - 383.08)^2 +( 376.7 - 383.08)^2 +\cdots + ( 383.5 - 383.08)^2 }{11} }[/tex]
=> [tex]\sigma_1 = 7.63 [/tex]
Generally the standard deviation for Y is mathematically represented as
[tex]\sigma_2 = \sqrt{\frac{\sum (y_i - \= y )^2}{n} }[/tex]
=> [tex]\sigma_2 = \sqrt{\frac{( 395.5 - 390.89)^2 +( 384.8 - 390.89)^2 +\cdots + ( 398.8 - 390.89)^2 }{10} }[/tex]
=> [tex]\sigma_2 = 5.82 [/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \= y}{ \sqrt{\frac{\sigma_1^2 }{ n_1 } +\frac{\sigma_2^2 }{ n_2 } } }[/tex]
=> [tex]t = \frac{383.08 - 390.89}{ \sqrt{\frac{7.63^2 }{ 11 } +\frac{5.82^2 }{10} } }[/tex]
=> [tex]t = -2.65[/tex]
Generally the level of significance is [tex]\alpha = 0.05[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
=> [tex]df = 11 + 10 - 2[/tex]
=> [tex]df = 19[/tex]
Generally from the student t- distribution table the critical value of [tex] \alpha [/tex] at a df = 19 is
[tex]t_{\alpha ,df} =t_{0.05 ,19} = -2.093[/tex]
Now comparing the critical value obtained with test statistic calculated we see that the critical value is the region of the calculated test statistic( i.e between -2.65 and 2.65) hence we reject the null hypothesis
Therefore there sufficient evidence to conclude that the old aluminium package pills weight is less than the new aluminium pills
Which point on the number line below is 57 the distance from D to A?
Answer:
C
Step-by-step explanation:
The answer is c because the distanse from D to a is 7, and 5/7 of 7=5
,and -3+5=2=c.
10q - 20 is equivalent to _____.
Answer: 10q-20
10(q-2)
factor out 10 as it is a common factor
Step-by-step explanation: this did not help please comment to contact please
PLZZZZZZZZZZZZZ HELP Simplify the expression.
–5^4
Answer:
625
Step-by-step explanation:
All it is saying to do is to do -5x-5x-5x-5
Answer:
625
Step-by-step explanation:
–5^4 is simply -5 times -5 4 times
the negatives cancel each other
out
A team of scientists are conducting research on the effect of word fonts used in road signs on accident rates. Across the population, there is an average of μ = 40 accidents per year due to unclear road sign fonts, with a standard deviation of σ = 10. The distribution is approximately normal. The team believes that certain fonts are difficult to read and may cause accidents, and it wants to implement a change to road sign fonts nationwide. The team is recommending a new font to replace the old fonts in road signs. After a series of studies, the team finds that the new font decreases accidents. However, the effect size is rather small (d = - 0.2). If the change to road sign fonts is implemented and there truly is an effect, it is expected that the new average rate of accidents will be: μ = 38 (i.e., hypothesized mean of the treatment group). In other words, this change should decrease accidents by 2, on average. [50 points total]
A.) Because implementing such large-scale changes is very costly, the government wants to be sure that the investment will be impactful. For a hypothesis test, they want the α-level to be small to minimize error. It is decided that α = 0.01, and a one-tailed test will be used. [50 points]
-What type of error is minimized by setting a stricter (smaller) α-level?
-With a one-tailed hypothesis test at α = 0.01, use the unit normal table to find the zscore that marks the critical region.
B.) A sample of n = 100 people are selected to go through a road trial with new fonts in the road signs. Again, the treatment is expected to decrease accidents by 2 on average. If the researchers use a one-tailed hypothesis test with α = 0.01, what is the power of the hypothesis test? [10 points]
C.)An external consultant is worried that there may not be enough power to detect such a small effect with such a small sample size. The consultant recommends that the researchers select a sample of n = 400 people instead. With this new sample size, and assuming a one-tailed hypothesis test with α = 0.01 again, what is the power of the hypothesis test?
D.)Based on your answers in 3(b) and 3(c), calculate the probability of making a Type II error in both cases and explain what the values mean.
E.) Explain how sample size influences power. Discuss what this means in terms of the conclusions you might make in hypothesis testing. (You can use your answers in 3(b) and 3(c) as an example.)
Answer:
Step-by-step explanation:
You should start by
HELP ASAP PlEASE
The actual length of mermaid avenue is 90m and the scale is 1cm to 30m. What is the distance in the scale drawing using this scale?
On the map, the school and the sports park are 12 centimeters apart.
What is the actual distance between the school and the park? PLEASE HELP ILL MARK BRAINLIST.
Answer:
The school and the sports park are 15 km apart.
Step-by-step explanation:
4 cm = 5 km
1 cm = 5 / 4 km
12 cm = 15 km
Answer:
15 kmStep-by-step explanation:
On the map, the school and the sports park are 12 centimeters apart.
scale 4cm : 5km
find;
What is the actual distance between the school and the park?
solution:
12 cm = 4 cm
X km 5 km
cross multiply:
4 cm X km = 12 cm (5 km)
X = 12 cm (5 km)
4 cm
X = 15 km
therefore, the distance between the school and the sports park is 15 km
Isabel's dog gets 55.4 grams of protein in each meal. How much protein does the dog get in 8 meals? Please help
Answer:
443.2
Step-by-step explanation:
If a = -4, b = 2, C = 3, and d = -5, then what is the value of (a - b)2 + (c- d)2
Answer:
100
Step-by-step explanation:
Put the values where the corresponding variables are, then do the arithmetic.
(-4 -2)^2 +(3 -(-5))^2
= (-6)^2 +(8)^2
= 36 +64 = 100
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
[tex](a - b)2 + (c- d)2\\(-4-2)2+(3--5)2\\(-6)2+(8)2 \\-12+16\\4[/tex]
What's the best definition of the word "ratio?"
Answer:
Compare
Step-by-step explanation:
Or relation I believe so...
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Equal quotients correspond to equal ratios.
HOPE YOU UNDERSTAND!!!Gail pays 0.04 sales tax on each dollar she spends. If she buys a new bike for 137.32 how much sales tax will she pays ?
Answer:
$5.49
Step-by-step explanation:
Basically we can take the price of the bike, 137.32, and multiply by the tax, 0.04, to get 137.32*0.04 and we are left with 5.4928 and we round to 5.49.
Answer:
Gail's sales tax amount is $5.49
Geometry question I need help with
Answer:
angle XYW = 44
Step-by-step explanation:
Supplementary angles add up to 180 degrees. So:
(5x - 6) + (12x+16) = 180
*combine like terms*
17x + 10 = 180
- 10 -10
17x = 170
/17 /17
x = 10
angle XYW = 5x - 6
5(10) - 6 = ?
50 - 6 = 44
Juan’s battery only has 6 7 battery life left and drains at 2 5 per hour. How many hours will the battery last?
Answer:
3 hours
Step-by-step explanation:
Answer:
she will have a little more then 3 hours left but less then 4.
Step-by-step explanation:
Estimate the sum to the nearest tenth 8.741+2.165
Answer:
10.9
Step-by-step explanation:
8.741 is estimated to 8.7 and 2.165 is estimated to 2.2 so the estimated answer would be 10.9
Answer:
10.9
Step-by-step explanation:
he's always right every question i search up
he is always on here thanks so much brainly
use you deserve brainliest to be honets
A group of freshmen at a local university consider joining the equestrian team. Thirty-five percent of students choose Western riding, 45% choose dressage, and 40% choose jumping. Fifteen percent choose both dressage and jumping, while 15% choose Western and dressage. No one chooses Western and jumping. There are no horses suitable for two styles, and each student is assigned to one horse. If two students decide to join the team, what is the probability that one student joins jumping only and the other student joins the Western team, if they independently decide
Answer:
Step-by-step explanation:
see attached file .
Find the 5th term of the arithmetic sequence 10,5,0....
Answer:
-10
Step-by-step explanation:
10, 5, 0, -5, -10
Subtracts 5 every step.
HELP ME PLS IM TO LAZY
4/5 divide by 8 in the simplest form?
It took a car 5 days to travel 1459 miles. What was this car’s average speed, in miles per hour?(round to the nearest mile per hour)
Answer:
12.158333333 miles per hour or 12
Step-by-step explanation:
24 × 5 = 120 hrs
1459÷120=12.15833333
or 12 miles per hour
