Answer:
a
Step-by-step explanation:
34 x .32=10.88
34-10.88=23.12
sale price was 23.12
1.61 in tax
23.12+1.61(rounded to 162)
24.74
After a number of complaints about its tech assistance, a computer manufacturer examined samples of calls to determine the frequency of wrong advice given to callers. Each sample consisted of 100 calls. SAMPLE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Number of errors 5 3 5 7 4 6 8 4 5 9 3 4 5 6 6 7 Click here for the Excel Data File a. Determine 95 percent limits. (Do not round your intermediate calculations. Round your final answers to 2 decimal places. Round up any negative control limit value to zero.) b. Is the tech assistance process stable (i.e., in control)
Answer:
a) Upper Control Limit = 0.10
Lower Control Limit = 0.01
b) The tech assistance process is stable and in control.
Step-by-step explanation:
Given - After a number of complaints about its tech assistance, a
computer manufacturer examined samples of calls to determine
the frequency of wrong advice given to callers. Each sample
consisted of 100 calls.
SAMPLE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Number of errors 5 3 5 7 4 6 8 4 5 9 3 4 5 6 6 7
To find - a. Determine 95 percent limits.
b. Is the tech assistance process stable (i.e., in control)
Proof -
z = 95% confidence interval
= 1.96
⇒z = 1.96
Proportion of defects,P = total defectives/total observations
= 0.0544
⇒P = 0.0544
Now,
Q = 1-P
= 0.9456
⇒Q = 0.9456
Now,
Average sample size, N = 100
Standard deviation = [tex]\sqrt{\frac{P.Q}{N} }[/tex]
= 0.0227
Now,
Upper Control Limit = P + z(Standard deviation)
= 0.0988
⇒Upper Control Limit = 0.0988 ≈ 0.10
And
Lower Control Limit = P - z(Standard deviation )
= 0.0099
⇒Lower Control Limit = 0.0099 ≈ 0.01
∴ we get
Upper Control Limit = 0.10
Lower Control Limit = 0.01
b.)
Now,
it is clear that the fraction defective values are wit in upper an lower control limits.
So, The tech assistance process is stable and in control.
According to a recent government report, the aging of the U.S. population is translating into many more visits to doctors' offices and hospitals (USA Today, August 7, 2008). It is estimated that an average person makes four visits a year to doctors' offices and hospitals. What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals
Answer:
0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals
Step-by-step explanation:
Mean during a time period means that we use the Poisson distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
It is estimated that an average person makes four visits a year to doctors' offices and hospitals.
A year has 12 months, which means that the monthly mean is [tex]\mu = \frac{4}{12} = \frac{1}{3}[/tex]
What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-(\frac{1}{3})}*(\frac{1}{3})^{0}}{(0)!} = 0.7165[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7165 = 0.2835[/tex]
0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals
scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Answer:
Subtract 58-30 and add a 2:28. And Subtract 2:58-2:30
Step-by-step explanation:
Solve 2+3(-4)-6 Show work please
Answer:
-16Step-by-step explanation:
2+3(-4)-6
2-3*4-6
2-12-6
-16
Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3
Answer:
-16
Step-by-step explanation:
3(-4)= -12
-12 + -6 = -18
-18 + 2 = -16
c: happy to help
Please help. NOT TAKING LINKS!
Answer:
D. -5/6
Calculation Steps:
1/6 + 2/3 =
1/6 + 2 × 2/3 × 2 =
1/6 + 4/6 =
1 + 4/6 = 5/6
hi can u guys help me thanks :)
Answer:
200 cubic inches
Step-by-step explanation:
all you have to do is multiply.
7 A drawer contains 28 socks. Some are white, some are blue, some are red, and some
are black. The probability of selecting a blue sock is 2/7. How many blue socks are in the
drawer?
Answer:
there are 8 blue socks
Step-by-step explanation:
28 / 4 = 7
multiply 2/7 by 4 and you get 8/28
Amelia has
grown of an inch
every month since
she was born. She
was 22 inches at
birth and is 12
months old now.
How tall is she?
Answer:
Amelia is 264 inches
Step-by-step explanation:
do 22 ×12 because at birth she was 22 inches and now she is 12 months.
The area of a rectangle is x² + 3x – 28 and the width is x + 7. What is the length of the
rectangle?
Answer:
X+4
Step-by-step explanation:
length times width = area
(X+7)(X-4) = x^2 +3x-28
Find the volume of the figure.
Answer:
768
Step-by-step explanation:
Volume is base times height. To find the base, we can see that it is a triangle. Sure! 8 times 12 would be 96, and divide that by 2 to get 48. That would be the area of the triangle.
To find the volume, all we need to do is multiply by 16. 48 times 16 is 768.
Linear equation: Solve x1, x2, x3, in terms of y1,y2,y3
x1 + ax2 + bx3 = y1
x2 + cx3 = y2
x3 = y3
Answer:
x1 = y1 - a*y2 + (a*c - b)*y3
x2 = y2 - c*y3
x3 = y3
Step-by-step explanation:
Here we have the system:
x1 + a*x2 + b*x3 = y1
x2 + c*x3 = y2
x3 = y3
Where the variables y1, y2, and y3 are known (a, b and c are also known).
The first step is to isolate one of the variables in one of the equations, we can see that in the third equation we have x3 already isolated, so now we can just replace it on the other two equations to get:
x1 + a*x2 + b*(y3) = y1
x2 + c*(y3) = y2
Now we again want to isolate one of the variables in one of the equations, i will isolate x2 in the second equation to get:
x2 = y2 - c*y3
Now we can replace this on the other equation to get:
x1 + a*(y2 - c*y3) + b*y3 = y1
Now we canw write x1 in terms of the known variables:
x1 = y1 - a*y2 + (a*c - b)*y3
And in the process we also found that:
x3 = y3
x2 = y2 - c*y3
Then the solutions are:
x1 = y1 - a*y2 + (a*c - b)*y3
x2 = y2 - c*y3
x3 = y3
find the area of the triangle pictured
please answer!! will give brainliest
Answer:
102 ft^2
Step-by-step explanation:
Area of triangle is bh/2, so 12*17/2, 204/2 = 102 ft^2
Ben is going bowling this weekend. It will cost $5 for the shoe rental plus $6 per game bowled. Which equation models the cost,
for Ben to bowl 9 games?
Answer:
Step-by-step explanation:
c=6g+5 (this is the answer to problem on screen)
The question asks for how much it costs for g games not 9 games. Though solving for 9 games is simple
c(9)=6(9)+5
c(9)=54+5
c(9)=$59
Answer:
c=6g+5
Is the correct answer BECAUSE IT IS THE ONE I CHOSE AND I GOT A 100 as you can see.
What is 30% of 40,756.00
Answer:
12226.8
Step-by-step explanation:
Answer:
12226.8
Step-by-step explanation:
Consider the numeral 45,607. What digit is in the tens column?
Answer:
0
Step-by-step explanation:
7 is in the ones
0 is in the tens
6 is in the hundreds
5 is in the thousands
4 is in the ten thousands
Find the sum of the first 41 terms of the following series, to the nearest integer.
12, 19, 26, ...
Answer:
The sum of the first 41 terms is 6232
Step-by-step explanation:
The sequence is an arithmetic progression with:
[tex]a = 12[/tex] -- first term
[tex]d = 7[/tex] --- common difference (this is calculated by 19 - 12 or 26 -19)
Required
The sum of the first 41 terms
This is calculated as:
[tex]S_n = \frac{n}{2}(2a + (n-1)*d)[/tex]
In this case: [tex]n = 41[/tex]
So:
[tex]S_{41} = \frac{41}{2}(2*12 + (41-1)*7)[/tex]
[tex]S_{41}= \frac{41}{2}*304[/tex]
[tex]S_{41} = 6232[/tex]
Which expression is equivalent to
[tex] \sqrt[9]{xy^{2} } [/tex]
this is the answer.
What is the value of x
Answer:
12
Step-by-step explanation:
Add 15 and 9 together, then divide by 2!
HELP URGENT PLZ PLZ PLZ
Answer: D. [tex]y=\frac{1}{9} x^{2}[/tex]
Step-by-step explanation: The smaller the coefficient of a fraction by the quadratic function (the x squared value), the more narrow the graph becomes. 1/4 is larger than 1/9 and the other two whole numbers are still larger than 1/9. Even though -1 is less than 1/9, this only makes the graph flip, not make it any more narrow. Fractions are what squeeze graphs, negatives do not make a difference (i.e. -1/4 is the same size of narrowness as 1/4).
HELP PLS THIS IS DUE SOON
Answer:
4.8/5%=b
Step-by-step explanation:
4.8/5%=96
$96 was the total cost
The raimonde family drove 1,764 miles across the United States on their vacation. If it took a total of 28 hours, write and solve a multiplication equation to find their average speed in miles per hour.
( this is 6th grade math)
Answer:
28 hours for driving 1764 miles
1 hours for driving 1764/28 miles
Average speed = 63 miles/hour
Step-by-step explanation:
Solve n2 + 11n + 30 = 0
help
Answer:
n = -5 or -6
Step-by-step explanation:
[tex]n^2+ 11n + 30 = 0[/tex]
Lets factorise the quadratic equation :-
→ Lets split the middle term of the equation.
[tex]=> n^2 + 5n + 6n + 30 = 0[/tex]
→ Lets take 'n' common from the first 2 terms & '6' common from last 2 terms.
[tex]=> n(n + 5) + 6(n + 5) = 0[/tex]
→ Lets take (n + 5) whole in common from the equation.
[tex]=> (n + 5)(n + 6) = 0[/tex]
Here , we get 2 values of n :-
1) [tex]n + 5 = 0[/tex]
[tex]=> n = -5[/tex]
2) [tex]n + 6 = 0[/tex]
[tex]=> n = -6[/tex]
∴ Hence , n = -5 or -6
Find the area of this shape
Answer:
I am pretty sure its 6
Step-by-step explanation:
3 x 4 = 12 divided by 2 = 6
Formula of a triangle:
BH x 1/2
Answer:
6 inches
Step-by-step explanation:
The Great Pyramid of Giza has an approximate height of 252 yards, and the square base has side lengths of approximately 152 yards. What is the approximate volume of the pyramid?
A. 12, 768 cubic yards
B. 38,304 cubic yards
C. 1,940,736 cubic yards
D. 5,822,208 cubic yards
Answer:
b/38,304
Step-by-step explanation:
when you multiple 252 times 157 you will get 38,304.
What is the vertex?
f(x) = -x2 - 4x + 12
Answer:
-2, 16
Step-by-step explanation:
HELP ME THE TWO AT THE BOTTOM PLEASE I WIL MARK BRAINLIEST
7) 28/80
because it’s being multiplied by 2
6) 60/ 64
because it’s being multiplied by 4
Mr. Martinez is having the half court circle in the gym repainted. They are
going to outline the circle in red. The inside of the circle will be painted
black. The circle has a diameter of 26 units.
3. To determine how much black paint to buy, he asks the custodian to
determine the area of the circle. What is the area of the circle to the
nearest hundredth of a square unit?
Area = TER?
Answer:
The area of the circle is 531.14 square unis
Step-by-step explanation:
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
where r is the radius of the circle
Given that the diameter of the circle = 26 units, the radius can be determined by;
r = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{26}{2}[/tex]
r = 13 units
So that,
Area of the circle = [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x 169
= 531.1429
The area of the circle is 531.14 square unis.
What is a pound equal to in fraction form?
Answer:
One pound can be written as 1.0 pounds, and moving the decimal place one place to the left gives you 0.10 pound, which is equal to one tenth of a pound. Convert 16 oz. to one sixteenth of an ounce by moving the decimal one place to the left.
unit 8 homework 4 anwser 10
Answer:what is this
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer: 15 and 14
Step-by-step explanation: