Answer:
Yes
Step-by-step explanation:
If you look on the left, 4 and 6 create a right angle
Answer:
Yes
Step-by-step explanation:
A right triangle is a triangle that has one angle to the right.
Which transformation can be used to prove that this parallelogram is symmetrical?
3 =
% of 7 percent with rounding
3 of 7 in percentage with rounding is 42.86%
How to determine 3 of 7 as a percent?
Percentage is a way of expressing a number as a fraction of 100. It is often used to express how much of something there is compared to the total amount.
For example, if you have 20 apples and the total number of apples is 100, you can express the fraction of the total number of apples you have as a percentage. That is 20/100 = 0.2, which is equal to 20%.
In order to write 3 of 7 as a percent, we can say:
3/7 × 100 = 42.86%
Thus, with rounding 3 of 7 is 42.86%
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Complete Question
3 of 7 percent with rounding = ___ %
pls helpp i’m confused
Answer:
D.
Step-by-step explanation:
it can't be B or C since Function A has a greater y-intercept of 2. and if you graph function A you can see that Function B has a greater rate of change
Answer:
D
Step-by-step explanation:
The rate of change for the graph is 2 so we can rule anything out that shows A has a larger rate of change. Now we look at the y intercept on the graph which is -2. The one in the function is 2 so we eliminate anything that says B has a greater y intercept this should give you the answer
Hope this Helps :)
Daniela has money automatically deposited into a savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate is measured in dollars per week. What is the constant of proportionality
A. 1/6
B. 12
C. 6
D. 3
Answer:
the answer is c
Step-by-step explanation:
the answer is c
will mark as brainliest if correct, 20 points
Answer:
A
Step-by-step explanation:
The ma of a hydrogen atom i 1. 67 x 10^-24 gram. The ma of a carbon atom i 1. 99 x 10^-23 gram. A molecule of methane contain 4 atom of hydrogen and 1 atom of carbon. A) calculate the ma of one molecule of methane. Give your anwer in tandard form
b) calculate the number of molecule in 1 gram of methane. Give your anwer in tandard form to 3 ignificant figure
The mass of one molecule of methane is 2.658 × \( {10}^{-23} \) and number of molecules of methane is 3.76.
Mass of one molecule of methane = mass of one carbon atom + 4×mass of one hydrogen atom
Mass of methane = 1.99 × \( {10}^{-23} \) + 4 × 1.67 × \( {10}^{-24} \)
Performing multiplication first
Mass of methane = 1.99 × \( {10}^{-23} \) + 4 × 6 68 × \( {10}^{-24} \)
Equating the exponents
Mass of methane = 1.99 × \( {10}^{-23} \) + 0.668 × \( {10}^{-23} \)
Performing addition
Mass of methane = 2.658 × \( {10}^{-23} \)
Now, 2.658 × \( {10}^{-23} \) is the weight of molecules number = 1
1 gram will have number of molecules = 1/ 2.658 × \( {10}^{-23} \)
Number of molecules = 3.76
Thus, mass is 2.658 × \( {10}^{-23} \) and 3.76 molecules are there.
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Help me please someone.
Answer:
divide by 4 from each side
Step-by-step explanation:
\(\frac{x}{4} > 13\)
÷4 ÷4
x>13÷4
Answer:
Isolate x by multiplying by 4 to each side of the inequality
Step-by-step explanation:
You have x in a fraction, and you want to have x by itself on one side of the equation. In this case, you need to multiply by 4 to each side of the inequality to cancel the 4 on the left hand side of the inequality and leave x on its own. The final inequality is \(x>52\).
If I helped, a brainliest answer would be greatly appreciated!
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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a ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. how fast is a rider rising when his seat is 16m above ground level?
With a speed of 0.419 m/s, the rider fast is a rider rising when his seat is 16m above ground level
The formula for tangential velocity is 2*pi*r/T --> 2*pi*10/120 --> pi/6.
It is 6 meters above the center of the wheel while the rider is 16 meters above the ground.
The horizontal portion of this distance must be 8 meters as its separation from the wheel's center is 10 meters (depending on the radius).
This indicates that the velocity and seat both make angles of 36.87 degrees off vertical and arctan(6/8) over the origin, respectively.
We will take into account the vertical component of the tangential velocity since the rate at which the seat is rising is what we're interested in.
Pi/6 * cos(arctan(6/8)) yields a value of 0.419 m/s.
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Gavyn was thinking of a number. Gavyn halves the number and gets an answer of 44. Form an equation with x from the information.
Answer:
The equation
(x/2) = 44
The answer
x = 88
HELP ME PLEASE !!!!!!!
Answer:
43.96
Step-by-step explanation:
Formula for Circumference is: C=2πr
C=2•3.14•7 7 is radius bc it's half of diameter
2•3.14= 6.28
6.28•7= 43.96
hope this helps chu babe <3
---QUICK Answer I will mark you brainlist
6 cm are cut from a 24 cm board. What is the percent decrease in length?
Answer:
The percentage in length of the board is 25%
find the taylor series of f centered at 0 (maclaurin series of f) . f(x) = x6sin(10x5)
Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`
Answer: `10x⁶`.
The given function is `f(x) = x⁶ sin(10x⁵)`. We need to find the Taylor series of `f` centered at `0` (Maclaurin series of `f`).
Formula used: The Maclaurin series for `f(x)` is given by `f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...... + (f^n(0)/n!)x^n`.
Here, `f(0) = 0` because `sin(0) = 0`.
Differentiating `f(x)` and its derivatives at `x = 0`:`f(x) = x⁶ sin(10x⁵)`
First derivative: `f'(x) = 6x⁵ sin(10x⁵) + 50x¹⁰ cos(10x⁵)`
Differentiate `f'(x)`
Second derivative: `f''(x) = 30x⁴ sin(10x⁵) + 200x⁹ cos(10x⁵) - 250x¹⁰ sin(10x⁵)`
Differentiate `f''(x)`
Third derivative: `f'''(x) = 120x³ sin(10x⁵) + 1800x⁸ cos(10x⁵) - 2500x⁹ sin(10x⁵) - 5000x²⁰ cos(10x⁵)`
Differentiate `f'''(x)`
Fourth derivative: `f⁴(x) = 360x² sin(10x⁵) + 7200x⁷ cos(10x⁵) - 22500x⁸ sin(10x⁵) - 100000x¹⁹ cos(10x⁵) + 100000x²⁰ sin(10x⁵)`
Differentiate `f⁴(x)`
Fifth derivative: `f⁵(x) = 720x sin(10x⁵) + 36000x⁶ cos(10x⁵) - 112500x⁷ sin(10x⁵) - 1900000x¹⁸ cos(10x⁵) + 2000000x¹⁹ sin(10x⁵)`
Differentiate `f⁵(x)`
Sixth derivative: `f⁶(x) = 7200 cos(10x⁵) - 562500x⁶ cos(10x⁵) + 13300000x¹⁷ sin(10x⁵)`
Evaluate at `x = 0`:
The derivatives of `f(x)` evaluated at `x = 0` are:f(0) = 0f'(0) = 0f''(0) = 0f'''(0) = 0f⁴(0) = 0f⁵(0) = 0f⁶(0) = 7200
Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`
Answer: `10x⁶`.
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7h=-(2h-18)7h=−(2h−18) solve for h please asap
Answer:
H=2
Step-by-step explanation:
I promissse
Be safe hope this helps
Answer: h is 4
Step-by-step explanation:
AB bisects LDAC and
m/DAB = 37°. What is
m/DAC?
The value of the angle m∠DAC is 74° as AB bisects ∠DAC .
We know from the properties of angles that the angle bisector will bisect the angle into two equal parts.
∠DAC is bisected by the straight line AB. This forms two angles ∠DAB and ∠BAC .
∠DAC =∠DAB + ∠BAC
now, ∠DAB = ∠BAC
given that ∠DAB = 37
Hence m∠BAC = 37
now,
∠DAC = ∠DAB + ∠BAC
m∠DAC = 37° + 37°
m∠DAC = 74°
A line that divides an angle into two equal angles is known as an angle bisector in geometry. A device that splits an object or form into two equal halves is referred to as a "bisector." A ray that divides a given angle into two identical segments of the same length is called an angle bisector.
Therefore the value of m∠DAC is 74° .
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Business You manage a clothing store and budget $6000 to restock 200 shirts.
You can buy T-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each, If you want to have twice as many rugby shirts as polo shirts, how many of each type
of shirt should you buy?
Answer:
60 Polo Shirt, 20 T- Shirt, 120 Rugby Shirt
Step-by-step explanation:
T- Shirts + Polo Shirt + Rugby Shirts =200
Rugby Shirts = 2( Polo Shirt)
$12(# of T- shirt) + $24( # of polo Shirts) + 36( # of Rugby Shirts) = 6000
x = number of t-shirts
y = number of polo shirts
z = number of rugby shirts
x + y + z = 200
z = 2y
12x + 24y + 36z = 6000 x + 2y + 3z = 500 {divided each side by 12}
substitute 2y, for z, into 1st and 3rd equations
x + y + 2y = 200 {substituted 2y, for z, into 1st}
x + 2y + 3(2y) = 500 {substituted 2y, for z, into 3rd}
x + 3y = 200 {combined like terms in 1st}
x + 8y = 500 {multiplied and combined like terms in 2nd}
-5y = -300 {subtracted the two equations}
y = 60 polo shirts {divided each side by -5}
z = 2y {2nd equation}
z = 2(60) {substituted 60, for y, into 2nd equation}
z = 120 rugby shirts {multiplied}
x + y + z = 200 {first equation}
x + 60 + 120 = 200 {substituted}
x + 180 = 200 {combined like terms}
-180 -180
x = 20 t-shirts {subtracted 180 from each side}
Therefore you should get 60 Polo Shirt, 20 T- Shirt, 120 Rugby Shirt.
In order to replenish stock and make the most of the money, the business should purchase 20 T-shirts, 60 polo shirts, and 120 rugby shirts.
Given data:
T-shirts cost $12 each.
Polo shirts cost $24 each.
Rugby shirts cost $36 each.
The total budget is $6000.
The store wants to restock a total of 200 shirts.
The store wants to have twice as many rugby shirts as polo shirts.
We can set up a system of equations based on the given information:
Equation 1: T + P + R = 200 (Total shirts)
Equation 2: 12T + 24P + 36R = 6000 (Total cost)
Since the store wants to have twice as many rugby shirts as polo shirts, we can express this as an equation:
Equation 3: R = 2P
Now we can substitute the value of R from Equation 3 into Equation 1:
T + P + 2P = 200
T + 3P = 200
We can solve this equation for T: T = 200 - 3P
Substitute the expression for T into Equation 2:
12(200 - 3P) + 24P + 36R = 6000
Now substitute the value of R from Equation 3 into the above equation:
12(200 - 3P) + 24P + 36(2P) = 6000
Simplify and solve for P:
2400 - 36P + 24P + 72P = 6000
60P = 3600
P = 60
Now that we know the number of polo shirts (P), we can find the number of rugby shirts (R) using Equation 3:
R = 2P = 2(60) = 120
Finally, we can find the number of T-shirts (T) using Equation 1:
T = 200 - 3P = 200 - 3(60) = 200 - 180 = 20
Hence, the store should buy 20 T-shirts, 60 polo shirts, and 120 rugby shirts to restock and maximize the use of the budget.
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Consider three pallet locations A, B, and C, for which the travel time from the receiving area to the storage area is 1, 2, and 2 minutes, respectively. Two skus move through these locations, x and y, which must be managed strictly through a PEPS policy. Every three days a pallet of SKU "x" is dispatched in the morning and a pallet is received in the afternoon and stored. Every two days a pallet of SKU "y" is dispatched in the morning and a pallet is received in the afternoon and stored. You maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times.
a. If you are using a static storage policy, what is the allocation of SKUs to storage locations that minimizes labor? Justify your answer. What is the average number of minutes per day spent moving these products?
b. What is the lowest value of average minutes per day used to move these SKUs if you adopt a heap policy? Does it make a difference where I place the SKUs initially?
A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
B. The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
a. Static Storage Policy:
To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.
Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:
SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).
SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).
By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.
The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:
SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.
SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.
Adding up the average daily movement times for SKU x and SKU y, we get:
Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.
Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
b. Heap Policy:
The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.
To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.
Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y
SKU x: Travel time from storage to the receiving area = 1 minute
SKU y: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU x: (1/3) minutes per day
SKU y: (2/2) minutes per day
Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day
Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x
SKU y: Travel time from storage to the receiving area = 1 minute
SKU x: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU y: (1/2) minutes per day
SKU x: (2/3) minutes per day
Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day
Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
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Round to the nearest tenth.
7.61577310586
Answer:
7.6
Step-by-step explanation:
1is less than 5 so let it rest
(3.65u − 11) − (−5 + 8.7u)
Answer:
73u/ - 11
Step-by-step explanation:
Answer:
-5.05. U -6
Step-by-step explanation:
Distribute the Negative Sign:=3.65u−11+−1(−5+8.7u)=3.65u+−11+(−1)(−5)+−1(8.7u)=3.65u+−11+5+−8.7uCombine Like Terms:=3.65u+−11+5+−8.7u=(3.65u+−8.7u)+(−11+5)=−5.05u+−6
Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?
Answer:
A. 1, 287 ways
B. 154,440 ways
Step-by-step explanation:
A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.
The correct way to do this is by using the combination formula since order is not considered;
Thus we have ; 13 C 5 read as 13 combination 5;
Mathematically, n C r is ; n!/(n-r)!r!
Thus, we have ;
13!/(13-8)!8! = 13!/5!8! = 1,287 ways
B. By considering order, we shall be using the permutation formula;
Mathematically n P r = n!/(n-r)!
Read as n permutation r;
Using the numbers involved, we have ; 13 P 5
= 13!/(13-5)! = 13!/8! = 154,440 ways
assuming that {f(t), f(s)} are a laplace transform pair, where f(s) = 3s 1 s 2 s 1 , determine the values of f(0 ) and ˙f(0 ). hint: apply the initial value theorem approach to ¨f(t).
The answer to this question is 0.
Apply the initial value theorem approach to calculate the values of ˙f(0) and f(0 ).
Imagine that, in this problem, f(t) and f(s) are a Laplace transform pair. These transform pairs are defined by:
f(t) = 3s 1 s 2 s 1 ,
and ˙f(0 ) = 0
The values of f(0 ) and ˙f(0 ) are given by: f(0 ):
s 1 = 3, s 2 = 1
and
\(f 0 = \frac{1}{2} (t - 0) - 0\)
First we must find a solution to the initial value problem. To do this, we need to find the functions ˙f(0 ) and g(t). The first thing we need is some knowledge about convolution. A convolution is simply the operation of taking the derivatives of two functions and adding them together, so it can be thought of as applying the difference operator (sometimes called "Difference") dx/dt
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Help0oejelensb skeidnekendidne helps 10101
Answer:
b = (looks to be) -3.5
m = \(\frac{1}{2}\)
Type of Slope = Positive, linear
Equation = y = \(\frac{1}{2}\)x - 3.5
given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t) = 5 sin 4t; v(0) = 1, s(0) = 6
The position function of the object is s(t) = -5/16 cos(4t) + 1/4 sin(4t) + 6.
What is the position function of the object?The given information provides the acceleration function a(t) = 5 sin(4t), initial velocity v(0) = 1, and initial position s(0) = 6. To find the position function, we need to integrate the acceleration function twice with respect to time.
Step 1: Integrating the acceleration function once will give us the velocity function. Since the integral of sin(4t) is -1/4 cos(4t), we have v(t) = -5/4 cos(4t) + C1.
Step 2: To determine the constant of integration, C1, we use the initial velocity condition v(0) = 1. Substituting t = 0 and v(0) = 1 into the velocity function, we find 1 = -5/4 cos(0) + C1, which simplifies to C1 = 1 + 5/4 = 9/4.
Step 3: Integrating the velocity function once more will yield the position function. Integrating -5/4 cos(4t) + 9/4 with respect to t, we obtain s(t) = -5/16 cos(4t) + 1/4 sin(4t) + C2.
To find the constant of integration C2, we utilize the initial position condition s(0) = 6. Plugging in t = 0 and s(0) = 6 into the position function, we get 6 = -5/16 cos(0) + 1/4 sin(0) + C2, which simplifies to C2 = 6.
Therefore, the position function of the object is s(t) = -5/16 cos(4t) + 1/4 sin(4t) + 6.
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At a middle school, 95 students have freckles. There are 382 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
Answer:
D. 24.9
Step-by-step explanation:
95/382 converted to a percentage is 24.9
Events A and B are such that P(A)=
5
2
,P(B)=
4
1
and P[(A∩B
′
)∪(A
′
∩B)]=
6
1
. (i) Plot and shade P[(A∩B
′
)∪(A
′
∩B)]. (3 marks) (ii) Find P(A∩B). (3 marks) (iii) Determine if events A and B are independent. (3 marks)
(i) P[(A∩B′)∪(A′∩B)] can be represented graphically as the shaded region in the Venn diagram where events A and B intersect or overlap. (ii) P(A∩B) = 4/10 or 2/5. (iii) Events A and B are not independent since the probability of their intersection, P(A∩B), is not equal to the product of their individual probabilities, P(A) and P(B).
(i) To plot and shade P[(A∩B′)∪(A′∩B)], we need to visualize the intersection and union of events A and B. A Venn diagram is a useful tool for this purpose. The intersection (A∩B) represents the overlapping region between A and B, while the complement (A′ or B′) represents the regions outside A or B, respectively. The shaded region corresponds to the union [(A∩B′)∪(A′∩B)], which includes the intersection and overlap of events A and B.
(ii) P(A∩B) represents the probability of both events A and B occurring simultaneously. From the information given, P(A) = 5/2 and P(B) = 4/1. However, the probability of their intersection, P(A∩B), is not provided directly. Hence, without further information, we cannot determine the precise value of P(A∩B).
(iii) Events A and B are considered independent if the occurrence of one event does not affect the probability of the other event. For two independent events, P(A∩B) should be equal to the product of their individual probabilities, P(A) and P(B). However, since the value of P(A∩B) is not provided, we cannot determine whether events A and B are independent based on the given information. Further information or calculation of P(A∩B) would be required to make a definitive determination.
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9, 18, 12, 9, 13, 22, 8, 23, 16, 17 What is the mode?
Answer:
9
Step-by-step explanation:
9, 18, 12, 9, 13, 22, 8, 23, 16, 17
Mode is the number that appears most often
Listing numbers in order from smallest to largest helps to see how many of each number
8,9,9, 12, 13,16,17 ,18, 22, 23,
We see the number 9 appears most often
I need to know what it is
6. Quaker uses 14 of a barrel of chocolate chips to make each batch of their
Chewy marshmallow chocolate chip granola bars. In one day, the company uses
3 12 barrels of chocolate chips to make granola bars. How many batches
of granola bars did the company make in the day?
Answer:
4/5=.80
4/.80= 5
5*7= 35
You can make 35 granola bars with 4 cups of chocolate chips.
I hope this helps!
The number of batches of granola bars the company make in the day is 22.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.
Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips
= 312/14
= 22.28
≈ 22
Therefore, the number of batches of granola bars the company make in the day is 22.
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In sampling____involves assessing the value of an unknown population parameter– such as a population mean, population proportion, or population variance–using sample data.a. none b. distribution c. Systematic sampling d. estimation e. substitution
hi can anyone solve and give a explaination plz? its for a friend
6.75
-2.25
----------
4.50
-2.25
----------
2.25
-2.25
----------
0.00
you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)