Answer:
54= 15 + J
Step-by-step explanation:
j= 39
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true
Answer:
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
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.
Mean output of 429 watts with a standard deviation of 10 watts.
This means that [tex]\mu = 429, \sigma = 10[/tex]
Sample of 76:
This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]
What is the probability that the mean amplifier output would be greater than 432.1 watts?
This is 1 subtracted by the pvalue of Z when X = 432.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{432.1 - 429}{1.147}[/tex]
[tex]Z = 2.7[/tex]
[tex]Z = 2.7[/tex] has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Is the following equation exponential? Why or why not y=x^2+5
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Answer: Yes because of x^2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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When (3x + 2)^2 is subtracted from 10x^2, the result is
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there's your answer.............
Determine which of the following pairs of angles are complementary,
supplementary or neither.
Step-by-step explanation:
Supplementary angles add up to 180
Complementary angles add up to 90
you can check those angles by adding them up
121+59=180 Supplementary
49+51=100 Neither
25+65=90 Complementary
Hope that helps :)
Step-by-step explanation:
121 and 59 are supplementary.49 and 51 neither.25 and 65 are complimantary.n airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers
Answer:
The airline should expect a revenue of $1,884 for a flight of 120 passengers
Step-by-step explanation:
For each passenger:
54% of passengers have no checked luggage, that is, 54% probability of no revenue.
34% have one piece, that is, 34% probability of $25 revenue.
12% have two pieces, that is, 12% probability of $60 revenue.
The expected revenue for a single passenger is:
[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]
For 120 passengers
15.7*120 = $1,884
The airline should expect a revenue of $1,884 for a flight of 120 passengers
Which two-way frequency table correctly shows the marginal frequencies?
Answer:
B
Step-by-step explanation:
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
Anna charges $8.50 per hour to babysit . How much will earn if she works for 31/2 hours?
Answer:
$29.75
Step-by-step explanation:
$8.50 for 1 hour
So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50
So far the total is $25.50 for 3 hours ONLY!
Now, for half of an hour it will be half of a price, making 8.50 into 4.25
Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours
Flask Company reports net sales of $2,620 million; cost of goods sold of $2,230 million; net income of $450 million; and average total assets of $2,090 million. Compute its total asset turnover.
Answer:
to me it is at least $3000
convert 43 minutes to seconds
Answer:
2580 seconds
Step-by-step explanation:
There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)
Answer:
m = -3/4
Step-by-step explanation:
-5 - 1 / 6 - -2 = -6/8 = -3/4
Answer:
Step-by-step explanation:
(-5 - 1)/(6 + 2)= -6/8 = -3/4
Dont steal points please if you do you will get repo answer all please I will give brainliest if its correct and 5 stars rating and the heart thanks.
Answer:
Here is the work I did yesterday for you
Step-by-step explanation:
You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?
At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.
Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00
Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda
Need answer asap, brainliest for correct answer
Answer:
C
Step-by-step explanation:
The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)
Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.
PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles
Answer:
Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygonClassify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
its very easy just try it
Answer:
it is biased
Step-by-step explanation:
Can someone help with vectors?
Answer:
Wait, the vector from despicable me or the math vector?
Step-by-step explanation:
If its the math vector than here: The correct answer is a vector
Can anyone help me!!
Answer:
help on chemistry is help on math for you
What is the value of x?
Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more
Can somebody please help me with this question?
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
No Links Please!
In the xy-plane, the midpoint M of segment AB has coordinates (-1, 3).
And point A has coordinates (-3,0). What is the x-coordinate of point B?
O -1
O 1
O 2
O 3
The diameter of a circle is 16 kilometers. What is the angle measure of an arc 6 kilometers long?
In simplest form
Answer: 135/pi
Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!
The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of the circle is given by the expression
(a2)2+(b2)2+c
a+b+c
(a2)2+(b2)2
c√
Answering actually A
Step-by-step explanation:
solve the equation of the 18y = 144 to find the value of y
Answer:
y=8 i think
Step-by-step explanation:
Answer: y=8
Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8
I hope this helps you or anybody!
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500