Answer:
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution
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.
In this question, we have that:
[tex]\mu = 16.5, \sigma = 0.2[/tex]
What chip amount represents the 67th percentile for the bag weight distribution
This is X when Z has a pvalue of 0.67, so X when Z = 0.44.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.44 = \frac{X - 16.5}{0.2}[/tex]
[tex]X - 16.5 = 0.44*0.2[/tex]
[tex]X = 16.59[/tex]
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution
Using the normal distribution concept, the chip amount which corresponds to the 67th percentile is 16.59
Using the concept of normal distribution :
Zscore = (X - μ) ÷ σThe 67th percentile is defined as :
P(Z < 0.67) ; Using a normal distribution table, the corresponding Zscore value is 0.44
Substitute into the Zscore relation and solve for the score, X :
0.44 = (X - 16.5) / 0.2
Cross multiply
0.44 × 0.2 = (X - 16.5)
0.088 = X - 16.5
0.088 + 16.5 = X
X = 16.588
Therefore, the chip amount is 16.59.
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Identify them as complementary supplementary vertical or adjacent
Mr. Johnson buys 50 pencils and gives 30 of them to his students.
Which percent of the pencils did he give to his students?
Answer:
3/5
Step-by-step explanation:
Mental math:)))))))
answer:
whole: 50
part: 30
30/50 = 0.6 --> 60%
final answer: 60%
-- request: please mark brainiest, and click the thanks button if correct <3
Solve the differential equation: y"-5y'+6y=0
The solution to the differential equation in this problem is given as follows:
y(t) = Ae^(3t) + Be^(2t).
How to solve the differential equation?The differential equation for this problem is given as follows:
y'' - 5y' + 6 = 0.
It is a simple linear and homogeneous second order differential equation, hence it can be solved with the characteristic equation method.
The characteristic equation for the differential equation is given as follows:
r² - 5r + 6 = 0.
The roots for the characteristic equation are obtained by finding the linear factors and using the factor theorem as follows:
(r - 3)(r - 2) = 0.
Hence:
r - 3 = 0 -> r = 3.r - 2 = 0 -> r = 2.These are real and non-repeated roots, hence the solution is given as follows:
y(t) = Ae^(3t) + Be^(2t).
In which A and B are constants depending on the initial conditions for the differential equation.
More can be learned about differential equations at https://brainly.com/question/18760518
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1. Which sentence contains an incorrect homophone?
When you need to talk, call me.
I ran too the car to see my mom.
Someone needs to explain it to me.
We wanted to go along, too
Answer:
I ran too the car to see my mom.
Step-by-step explanation:
Answer:
I ran too the car to see my mom
Goal is to make $100. What % of the goal was met if raised $350?
______________________________
A = m ÷ t × 100= $100 ÷ $350 × 100= 28.6%THE GOAL WAS SURPASSED BY 28.6%______________________________
helppppp The average monthly high temperatures for Boise, Idaho, are shown in the chart. Find the first quartile of the data.
2. There are 18 girls and 21 boys in a classroom. Write the ratio of girls to boys
help
Answer:
6:7
Step-by-step explanation:
both values can be divided by 3
If f(x) = 2^x + 4 and g(x) = x^2 – 4 what is the value of f(5) +g(-3)
f(5)=2^5+4
f(5)=32+4=36
g(-3)=(-3)^2-4
=9-4
=5
f(5)+g(-3)=36+5
=41
find four solutions for the following linear equations your answer must include at least two positive numbers for X and at least two negative numbers for X. Do not choose 0 for the x coordinate express your answer in the form x, y
9514 1404 393
Answer:
(-18, 14), (-9, 9), (9, -1), (18, -6)
Step-by-step explanation:
Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...
y = -5/9(-18) +4 = 10 +4 = 14
y = -5/9(-9) +4 = 5 +4 = 9
y = -5/9(9) +4 = -5 +4 = -1
y = -5/9(18) +4 = -10 +4 = -6
The four solutions we have found are ...
(-18, 14), (-9, 9), (9, -1), (18, -6)
Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT
Answer: B. 105 mph
Step-by-step explanation:
Answer:
trust me (D) is the correct answer can you mark b please thank you
Step-by-step explanation:
I hope it help you lot see you around
MATH
please help me with this question? i don’t understand it
HELPPPPPPPPPPPPP
A total of 18 guests attended a birthday party. Seven friends stayed after the party to help
dean up. How many left when the party ended?
Part 1 out of 3
To solve this problem, let x represent the
A. total number of guests plus the number who stayed to help clean up.
B. number of guests who left when the party ended.
C. total number of guests
D. number of friends who stayed to help clean up.
Answer:
Step-by-step explanation:
B
A customer opens a savings account
that applies 4% compound interest
annually. If the initial investment is
$200.00, how much money will be in
the account at the end of two years?
Please explain
Answer:
$216.32
Step-by-step explanation:
The formula for compound interest is given as:
A = P(1 + r/n)^nt
Where:
A = Amount after t years= ??
P = Principal = Initial amount invested $200
r = Interest rate = 4%
t = time in years = 2
n = Compounding frequency = Annually = 1
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 200.00(1 + 0.04/1)^(1 × 2)
A = $ 216.32
The amount of money that will be in the account at the end of two years is $216.32
*answer fast!!
Christian is going to an amusement park. The price of admission into the park is $35, and once he is inside the park, he will have to pay $3 for every ride he rides on. How much money would Christian have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on rr rides?
Cost for 8 rides:
Cost for rr rides:
^^^
each answer needs to be a equation
Answer:
Step-by-step explanation:
Admission price = 35$
Cost of every ride = 3$
Cost of 8 rides = 8 x 3 = 24$
Total amount = 35 + 24 = 59$
PLEASE HELPPP !
Gavin filled a three-gallon bucket with water in two minutes. He fills a five-gallon bucket with water at the same rate.
The rate Gavin can fill a bucket is
of a minute per gallon.
At the same rate, it will take him
minutes to fill the five-gallon bucket.
(first box fill in answers = 3/2, 2/3, 3/5, 2/5)
(second box fill in answers = 3 1/3, 3 ,7 1/2, 2
(Fill in the blank)
Please help I’m begging you!!! No false answer if you have a question don’t put as an answer please
Answer:
Step-by-step explanation:
11. 7 × 8 = 8 × 7 [commutative property]
12. 5 × 0 = 0 × 5 [commutative property]
13. 5 × (0 + 8) = (5 × 0) + (5 × 8) [[distributive property]
14. (7 × 1) + (7 × 9) = 7(1 + 9) [distributive property]
15. 6 × 1 = 6 [Identity property of multiplication]
16. 9 × (10 × 1) = (9 × 10) × 1 [[commutative property]
17. 1 × 10 = 10 [Identity property]
18. 7 × 1 = 7 [Identity property]
19. 4 × 8 = 8 × 4 [commutative property]
20. 4 × (1 × 2) = (4 × 1) × 2 [commutative property]
Sonia decides to leave a 14% tip after eating dinner at Fresh Catchery. If the bill is $27.78, how much should she pay?
Answer:
$31.67
Step-by-step explanation:
14/100x27.78= about 3.89
3.89+27.78=31.67
$31.67
The amount that Sonia will pay is $31.67.
Amount of bill = $27.78
Percentage of tip = 14%
Amount of tip = 14% × $27.78
= 0.14 × $27.78
= $3.89
Total amount to be paid will then be;
= $27.78 + $3.89
= $31.67
In conclusion, Sonia will pay $31.67.
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Round your answer to the nearest hundredth if needed.
The diameter of a circle is 15 inches long. What is the circumference of the circle
4.71 inches
47 inches
47.10 inches
.471
Answer:
47.12 so 47.10
Step-by-step explanation:
What is the number that is divisible by 7?
13, 17, 91, or 771
Step-by-step explanation:
13÷7=1.85717÷7=2.42891÷7=13771÷7=110.142Hence,
91 is divisible by 7.
A puppy named sparky started out at 3 pounds and gained 2 pounds every month how heavy was sparky at 4 months old
Answer:
4.5 pounds
Step-by-step explanation:
PLZZZZ HELP What specific measure of a geometric figure is shown in the image?
Answer:
130⁰ angle???
Step-by-step explanation:
im so sorry if it's wrong
Solve for y
-8y + 3 = 35
Answer:
[tex]y = - 4[/tex]
Step-by-step explanation:
subtract three from both sides and simplify 35 - 3 to 32
-8y = 32
divide by -8
[tex]y = - \frac{32}{8} [/tex]
simplify
y = -4
Answer:
-4
Step-by-step explanation:
-8y + 3 = 35
-8y + 3 - 3 = 35 -3
-8y = 32
-8y/-8 = 32/-8
y = -4
PLZZ I NEED HELP if ur good at math help meeee. I NEED HELP
The perimeter of rectangular garden is 94 m. The length is 13 m more than the width. Find the length and the width.
Answer:
length: 60 width: 34
Step-by-step explanation:
What is the difference When the product of 1/3 and 2/3 is subtracted from the sum of 1/3 and 2/3
Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.
15 sides
It’s the right answer
The number of sides that the original building has will be 15 sides.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The measure of the exterior angle is given as,
Exterior angle = 180° - Interior angle
Exterior angle = 180° - 156°
Exterior angle = 24°
The total number of sides of the polygon will be given as,
Exterior angle = 360° / (Number of sides)
24° = 360° / n
n = 360° / 24°
n = 15
The number of sides that the original building has will be 15 sides.
More about the polygon link is given below.
https://brainly.com/question/17756657
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The complete question is given below.
845,333,129 expanded
X^3-6x^2-7x+60=0 i need help
Answer:
x= -3, 4 or 5
Step-by-step explanation:
if you factor out the expressions, they look like this:
(x+3)(x-4)(x-5) = 0
I GIVEE BRAINLILSTT TTTT
Answer:
fgdbnfdbhfdfbfdbdfbdx cmbhk;lk
yigykuk
Step-by-step explanation:
guykgyktylui
Gfy,m;pkoKKbh,uh
KJolKJkjp+
iuik.iJ:L
;
'o99p9;
Write 4.9 as a percentage
Answer:
490% i believe
Step-by-step explanation:
