Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
A polygon is shown on the graph:
A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.
What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
9514 1404 393
Answer:
angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.
Step-by-step explanation:
The proposed transformation is ...
(x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down
Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.
__
The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.
Answer: goood answer
Step-by-step explanation:
6 (31 + 163 72)6 +2=
solve for completing the square x^2-12x+11=0
Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex] square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
What are the solutions of the quadratic equation
4x2 - 8x – 12 = 0 ?
A) x = -1 and x = -3
B) x = -1 and x = 3
C) x = 1 and x = -3
D) x = 1 and x = 3
Answer:
Step-by-step explanation:
4x2 - 8x -12 = 0
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
Answer:
B IS THE ANSWER
Step-by-step explanat
(22x2 - 8x) - 12 = 0
4x2 - 8x - 12 = 4 • (x2 - 2x - 3)
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
4 • (x + 1) • (x - 3) = 0
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
Any solution of term = 0 solves product = 0 as well.
Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
each runner in a 4 4/5 mile relay race runs 4/5 of a mile.find the number of runners on a relay team
Answer:
Divide total distance of the race by the length each runner runs:
Divide total distance of the race by the length each runner runs:8 miles / 4/5
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10There are 10 runners
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
6 runners
Step-by-step explanation:
4 4/5 divided by 4/5 is 6.
Please help I’ll give brainliest
Answer:
ITS D GOOD LUCK WITH YOUR HMK
A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?
someone please help with this question for brainliest !!!!:)
Answer:
11
0
1
30 ...........
.....
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
please help ME I BEG YOU
Answer:
it is also 112°.
Step-by-step explanation:
mark me brainlist amswer.
Answer:
112°
Step-by-step explanation:
1. The angle with 112 degrees and angle x are corresponding angles, which mean they have the same relative position. Corresponding angles are congruent.
2. Given the information above, m∠x = 112°.
find the area of a square whose side length is (7a^2b^3)
The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
Learn more here: https://brainly.com/question/17182640
Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?
Answer:
4
Step-by-step explanation:
Take the number of cards and divide by the number of cards to determine the number of piles
32/8
4
There are 4 piles
Answer:
4 piles
Step-by-step explanation:
32 ÷ 8 = 4
8 cards in a pile. 8, 16, 24 ,32.
Kevin picked 3/4 of a pound of strawberries. That afternoon, his sister ate 2/3 of the strawberries Kevin picked. How many pounds of strawberries did Kevin's sister eat? Use a visual model (such a number line, area diagram or pattern blocks) to find the answer to the problem. State the answer and explain how you determined the answer from your model.
Answer:
1/12 pounds of strawbebbies left.
Step-by-step explanation:
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
Number Relationships
Find the unknown number in the group to make related multiplication
and division sentences. Write the multiplication and division sentences.
4, ?,68
Answer:
17
Step-by-step explanation:
the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.
Show that (1 + 2V3)2 = 13 +4V3
Answer:
(1+2V3)^2=13+4V3
<=> 1 +4V3 +12 = 13+4V3
<=> 1 +12 = 13
<=> 13=13
sorry if i wrong :(
in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.I need help with this Compound Inequality.
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Does this look correct again?
Answer:
Correct
Step-by-step explanation:
This is correct because if you divide fourteen by one fourth the answer would be fifty-six teddy bears.
crecimiento de arboles
un vivero de plantas verdes suele vender cierto arbusto despues de 6 años de crecimiento y cuidado. La velocidad de crecimiento durante esos 6 años es aproximadamente dh/dt = 1.5t + 5, donde t es el tiempo en años y h es la altura en centimetros. Las plantas de semillero miden 12 centimetros de altura cuando se plantan (t=0).
determinar la altura despues de t años
que altura tiene los arbustos cuando se venden
Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.
La ecuación de la altura es:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Con ella veremos que los arbustos miden 69cm cuando son vendidos.
Veamos como resolver esto.
h(t) es la función que modela la altura de las plantas.
Sabemos que:
[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]
Sí integramos, obtendremos:
[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]
donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:
[tex]h(0) = c[/tex]
Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.
La ecuación de la altura es entonces:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Esta ecuación nos da la altura en centimetros a tiempo t.
Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:
[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]
Es decir, los arbustos miden 69cm cuando son vendidos.
Sí quieres aprender más, puedes leer.
https://brainly.com/question/25180768
What is the slope of the line through (-9,-6) and (3,-9)
Answer:
-1/4
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-6) / 3 - (-9)
-3/12
= -1/4
3,008,907,008
What is the correct written form of this number.
Answer:
Three billion eight million nine-hundred seven thousand eight.
Step-by-step explanation:
Write out each of the numbers.
mr candy man is making bags of candy to reward students in his class. a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy. if he has 106 pieces of candy and wants to use them all how many red bags can he make?
(I need help with this asap)
tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
help me i nedd help...........
Answer:
The answer is 10 12/85 Hope you pass!
please help me with this sum
theres a thing called a calculator
Answer:
you didn't have calculate for this question
1/4×10/12 simplest form
Answer:
10/48 - 2/24 - 1/12
Step-by-step explanation:
answer is 1/12
Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?
