Answer:
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
0.933 = 93.3% probability that the second machine produces an acceptable cork.
The second machine is more likely to produce an acceptable cork.
Step-by-step explanation:
When the distribution is normal, we use 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.
What is the probability that the first machine produces an acceptable cork?
The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that [tex]\mu = 3, \sigma = 0.1[/tex]
Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3}{0.1}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
For the second machine, we have that [tex]\mu = 3.04, \sigma = 0.04[/tex]. Same probability we have to find out. So
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.04}{0.04}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3.04}{0.04}[/tex]
[tex]Z = -3.5[/tex]
[tex]Z = -3.5[/tex] has a pvalue of 0.0002
0.9332 - 0.0002 = 0.933
0.933 = 93.3% probability that the second machine produces an acceptable cork.
Which machine is more likely to produce an acceptable cork?
Second one has a higer probability, so it is more likely to produce an acceptable cork.
The advantage of crop rotation was which of the following?
I GIVE BRAINLESS PLS HELPPPP
simplify 6+8/2x{-3}+7
Answer:
6+8/2×-3+7
6+4×4
6+16
22
The coordinates of one end point of a line segment are ( 2 , 7 ). The line segment is 12 units long. Give three possible coordinates of the line segment’s other end point.
Answer:
12 units up (2, 19) 12 units down (2, -5) 12 units to the right (14,7) 12 units to the left (-10,7) any of these points are answers.
select the option that best describes the relationship between the variables on the scatter plot.
Answer:
positive, linear association
Step-by-step explanation:
i know because i got it correct
The option that should be selected and it shows the best description related to the relationship between the variables on the scatter plot is the first option.
What is a scatter plot?It means to the set of points in which it should be plotted on the axis of horizontal and the vertical. It plays a vital role in statistics since it should represent the correlation extent.
Moreover, as per the given scatterplot, it shows the positive and linear association.
Therefore, the first option is correct.
learn more about variable here: https://brainly.com/question/18953210
what is the image point of (0,8) after a translation right 3 units and down 5 units
Answer:
(3,3) because (0+3, 8-3)
HELP PLS 10 POINTS
How much did they pay
Answer:
The answer is B
Step-by-step explanation:
I know the answer is $102.20 because since there are 15 members in total I would suggest that you would subtarct by 8 and you would get 7 . Beacuse 8 out of the 15 memebers already payed the first day
So that means 7 memebers have to pay each member has to pay 14.60...
That means 7 memeber times $14.60 will equal $102.20\
Hope this helps!!
Answer:
B. $102.2
Step-by-step explanation:
You will subtract the 8 members who payed their dues on the first day of the month, getting 7 members left to pay their dues. Then you will multiply 7 • $14.60 = $102.2 payed the second day of the month.
What numbers multiply to make 90 and adds to -19?
Answer:
-10,-9
Step-by-step explanation:
Answer:
We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. Now, to find the sum of the factors, add all the numbers, you will get a total of 234.
Step-by-step explanation:
help please with math pleaseee
Answer:
i dont get it at all good luck in your test
Plot the points (-10,3) and (-10, –6)
Well, basically this is how it is graphical, you can also check on your scientific calculator because it is a prendicular line, I hope it has served you
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
6 years
Step-by-step explanation:
8$ per year $48 divided by $8=6
Answer:
6 years
Step-by-step explanation:
$8 per year $48 ÷ $8 = 6 years
How to solve (with steps)
3 ( x + 2 ) = 9 ( 6 - x )
Answer: x = 4
Step-by-step explanation:
Distribute the 3 and the 9
[tex]3(x+2)=9(6-x)\\3x+6=54-9x[/tex]
Add 9x to both sides
[tex]12x+6=54[/tex]
Subtract 6 on both sides and simplify
[tex]12x = 48\\x=4[/tex]
Answer:
x=4
Step-by-step explanation:
3 (x+2) = 9 (6-x)
3x + 6 = 54 - 9x
-6 = -6
3x = 48 - 9x
+9x +9x
12x = 48
/12 /12
x = 4
(20 Points) What is the solution to the equation [tex]\frac{1}{8}[/tex]n = 4?
Answer:
The answer to this question is n=2
Step-by-step explanation:
20 points!!
Baldomero’s solution to an equation is show below
Answer:
Between steps d and e
Step-by-step explanation:
Baldomero made a clear mistake between steps d and e when he was dividing 144 and -48. When you divide these two numbers together, the answer is -3 and not 3 as he stated.
What is the equation of 35?
35 - X = 5
Simplifying
35 + -1X = 5
Solving
35 + -1X = 5
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-35' to each side of the equation.
35 + -35 + -1X = 5 + -35
Combine like terms: 35 + -35 = 0
0 + -1X = 5 + -35
-1X = 5 + -35
Combine like terms: 5 + -35 = -30
-1X = -30
Divide each side by '-1'.
X = 30
Simplifying
X = 30
Answer:
attach a photo
Step-by-step explanation:
i need more detail and then ill answer because there cant be a equation without a problem
The drive from savannah to Milwaukee takes approximately 15.5 hours how long is the drive in minutes
Answer: the result is 930 minutes.
Step-by-step explanation:
15.5 hours to minutes has been calculated by multiplying 15.5 hours by 60
The drive from Savannah to Milwaukee takes approximately 930 minutes .
To convert the drive time from hours to minutes, we can multiply the number of hours by 60, as there are 60 minutes in an hour .
Given that the drive from Savannah to Milwaukee takes approximately 15.5 hours, we can calculate the drive time in minutes as follow s:
The time in minutes is equal to the time in hours multiplied by 60 .
15.5 hours = 15.5 hours * 60 minutes/hour .
15.5 hours = 930 minutes .
Therefore, the drive from Savannah to Milwaukee takes approximately 930 minutes .
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I need help with this
Answer:
I don`t know sorry
Step-by-step explanation:
1st Question:
Kathy swims at least 6 laps everyday.Write or type and inquality to show how long Kathy swims each day.
2nd Question:
Luis's cedar chest measures 4 feet long,2 feet wide, and 2 1/4 feet high.What is the valume of the chest?
3rd Question:
There are two squares.ONe has a side length of 12 inches and the other has a side length of 14 inches.What is he total area of both squares?
Answer:
which means each day kathy swims ≥ 6 laps
Step-by-step explanation:
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Given the information in the Microsoft Excel Online file below, construct a spreadsheet to determine how large a sample should be taken for each desired margin of error.
Answer:
A. 384.16
B. 2,401
C. 9,604
D. No
Step-by-step explanation:
Calculation to determine how large a sample should be taken for each desired margin of error
First step is to find σ which represent Population Standard deviation
σ=($50,000-$30,000)/4
σ=$20,000/4
σ = 5,000
Now let calculate how large a sample should be taken for each desired margin of error
Using this formula
n = (Za/2*σ/E)^2
Where,
Za/2=1-0.95/2
Za/2=0.05/2
Za/2=0.025
Z-score 0.025=1.96
Za/2=1.96
σ =5,000
E represent Desired margin of error
Let plug in the formula
a. $500
n = (1.96* 5,000/$500)^2
n=(9,800/$500)^2
n=(19.6)^2
n = 384.16
b. $200
n = (1.96*5,000/200)^2
n=(9,800/$200)^2
n=(49)^2
n = 2,401
c. $100
n = (1.96*5,000/$100)^2
n=(9,800/$100)^2
n=(98)^2
n = 9,604
Therefore how large a sample should be taken for each desired margin of error will be :
A. $500= 384.16
B. $200= 2,401
C. $100= 9,604
d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.
whats greater 9.354 or 9.012
Answer:
9.354
Step-by-step explanation:
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
You invest some money made a profit of $75. Your profit was 10% of your investment. How much did you invest originally?
Answer:
85
Step-by-step explanation:
may be thats the aNswer
if a line passes through 0,6 and has a slope of 2 what is the equation for the line
Answer:
y=2x+6
Step-by-step explanation:
plug in the point (0,6) to get b=6
Solve m1 and m2 In the diagram
Please help me solve Im so confused
Answer:
m<1=117
m<2=99
Step-by-step explanation:
Answer:
Angle 1 is 117 degrees.
Angle 2 is 59 degrees.
Step-by-step explanation:
Let angle 1 be x, and angle 2 be y.
By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.
Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.
For the following compound interest problem, how much interest would you earn if you put $600 in the bank at 5.5% for 2.25 year.
Answer:
$74.25
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
then, solving our equation
I = 600 × 0.055 × 2.25 = 74.25
I = $ 74.25
The simple interest accumulated
on a principal of $ 600.00
at a rate of 5.5% per year
for 2.25 years is $ 74.25.
how did you compute the cost of 4 pounds of beef at $5.89 per pound
a number d minus 2 is less than -1 as an inequality
Answer:
(d-2) <-1
Step-by-step explanation:
The number be d. d minus 2 means (d-2).
(d-2) is less than -1.
It means,
(d-2) <-1
It is the required inequality.
So,
Adding 1 both sides.
d-2+1 <-1+1
d-1<0
or
d<1
Hence, this is the required solution.
Help me out with this
Answer:
What is 2x + 5 (y-1) when x=8 and y=5
Step-by-step explanation:
HELP ME
Answer:
40:60:80
Step-by-step explanation:
....... . ...........
Which of the following could represent the question: How many 4/9s are in 6/5 as a multiplication equation?
x*4/9=6/5
x*6/5=4/9
6/5*4/9=x
4/9*6/5=x
Answer:
Select the third answer listed which states: 6/5 * 9/4
Step-by-step explanation:
To find how many of a quantity x are in another quantity y, we normally divide in the following fashion:
y divided by x = y ÷ x = y / x
Then we do the same here: 6/5 divided by 4/9 = 6/5 ÷ 4/9 = 6/5 * 9/4
(using the properties of division of fractions as equal to the product of the first one times the reciprocal of the second one)
Answer:
3rd one
Step-by-step explanation:
Will give brainliest
Answer:
square, parallelogram, rectangle, rhombus
Step-by-step explanation:
Considering the answer choices:
Square
Regular pentagon
Parallelogram
Rectangle
Rhombus
It can't be a pentagon because it only has four sides.
Properties of the shapes:
Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.
Rhombus - quadrilateral with four congruent sides.
Square - quadrilaterals with all properties of rectangles and rhombi.
Parallelogram - rectangles, rhombi, and squares are parallelograms.
This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.