Answer: D.0.025
Step-by-step explanation:
Given: A bag contains 2 red,5 blue,6 yellow, and 3 green crayons.
Total crayons: 2+5+6+3=16
Probability of getting red crayon= \(\dfrac{\text{Number of red crayons}}{\text{Total}}\)
\(=\dfrac{2}{16}=\dfrac18\)
Without replacement, the probability of getting green crayon = \(\dfrac{\text{Number of green crayons}}{\text{Total}-1}\)
\(=\dfrac{3}{15}=\dfrac15\)
Required probability P(red then green)= \(\dfrac18\times\dfrac15=\dfrac1{40}=0.025\)
Hence, correct option is D.0.025
What is the type? f(x)=-1/5x³-5+10x²
A recent report indicated that 8 1/3% of all residents of a state did not have health insurance. What fraction of residents were uninsured
The given percentage is 8 1/3 %.
\(8\text{ }\frac{1}{3}\text{ \%=8}\frac{1}{3}\times\frac{1}{100}\)\(\text{ Use a}\frac{b}{c}=\frac{a\times c+b}{c}\text{.}\)\(=\frac{8\times3+1}{3}\times\frac{1}{100}\)\(=\frac{25}{3}\times\frac{1}{100}\)\(=\frac{1}{3}\times\frac{1}{4}\)\(=\frac{1}{12}\)\(8\text{ }\frac{1}{3}\text{ \%=}\frac{1}{12}\)
Hence 1/12 of residents were uninsured.
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a ratio of 6:5 complete the chart, graph the data, and write the equation that models this proportional relationship
Answer:
just graph it 6 women to 5 men so put that on a graph?
Step-by-step explanation:
help me pleseeeeeeeeee
Answer:
2/4
Step-by-step explanation:
2/4 = 4/8
They both equal 1/2
I need Help!!!! Fast!!
Answer:
second one just se that cuse I think it is it a fuse fore me
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
The number of waffles that there were initially are; 100 waffles
ProportionsLet the number of waffles she baked be x.
Since she baked 1.5 times as many pancakes as waffles. Then;
Number of pancakes = 1.5x
She baked 45 more waffles.
Thus;
Total = 1.5x and (x + 45)
Her children ate 12 pancakes.
Thus, amount left is now;
(1.5x - 12) and (x + 45)
We are told that there were now 17 more waffles than pancakes.
Thus;
(x + 45) - (1.5x - 12) = 17
x + 45 - 1.5x + 12 = 17
0.5x = 50
x = 50/0.5
x = 100
Thus,there were 100 waffles initially.
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Answer:
the number of waffles is 100
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, … 27, 13.5, 22.5 72, 66, 264 72, 36, 144 27, 21, 30
Answer:
its 72, 36, 144
Step-by-step explanation:
yes it is!!!
What is the order from least to greatest of the following: 0.8, −0.1, 1.1, and −1.5?
Answer:
I think -1.5 -0.1 0.8 1.1
Answer:
-1.5 || -0.1 || 0.8 || 1.1
Explanation:
Since it is from least to greatest, let's compare the 2 negative numbers -1.5 and -0.1.
-1.5 has a 1 in its first place while -0.1 has a 0. This means that -1.5 is smaller because the further a number is on the negative number line the smaller it is.
So, -1.5 is the smallest, then -0.1.
-1.5 || -0.1
Now we compare the 2 positive numbers 0.8 and 1.1.
0.8 has a 0 in its first place and 1.1 has a 1 in its first place. Because the numbers are positive, the number with the biggest digit in in front of the decimal is greater.
So, in this case 1.1 is greater than 0.8.
0.8 || 1.1
In order it is:
-1.5 || -0.1 || 0.8 || 1.1
What do you call a figure with two circular bases that are congruent and parallel?
A figure with two circular bases that are congruent and parallel is a cylinder.
The correct answer is an option (c)
We know that cylinder a three dimensional geometric figure which has two parallel circular bases at a distnace.
In cylinder, the two circular bases are joined by a curved surface which is at a fixed distance from the center.
The axis of cylinder is nothing but the line segment joining the center of two circular bases.
Also, the distance between the two circular bases is the height of the cylinder.
If the bases of the cylinder are not exactly over each other but sideways, then it is an oblique cylinder.
And if the axis of the cylinder forms a right angle with its two parallel bases then it is called a right cylinder.
Therefore, the required figure would be a cylinder.
The correct answer is an option (c)
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The complete question is:
A geometric figure with two circular bases that are congruent and parallel.What do you call a figure with two circular bases that are congruent and parallel?
a. Rectangular prism
b. Cone
c. cylinder
d. sphere
The length of a planet's orbit around a star is approximately 18,950,000 km.
It takes the planet about 940 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answer:
The planet's speed is 18,950,000 km per 940 days
which equals
20,159.5744680851 kilometers per day
Dividing that by 24 gives us the planetary speed in km / hour which is
839.982269503546 kilometers per hour.
I have no idea what 3sf means so I can't answer that.
Step-by-step explanation:
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7.50 and each adult ticket sells for $10. The drama club
must make no less than $1200 from ticket sales to cover the show's costs. Write an
inequality that could represent the possible values for the number of student tickets
sold, s, and the number of adult tickets sold, a, that would satisfy the constraint.
The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.
Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.
The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.
To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:
7.50s + 10a ≥ 1200
This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.
This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.
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Over a five-year period, the quarterly change in the price per share of common stock for a major oil company ranged from -7% to 13%. A financial analyst wants to learn what can be expected for price appreciation of this stock over the next two years. Using the five-year history as a basis, the analyst is willing to assume that the change in price for each quarter is uniformly distributed between -7% and 13%. Use simulation to provide information about the price per share for the stock over the coming two-year period (eight quarters).
Use the random numbers 0.49, 0.89, 0.10, 0.17, 0.55, 0.72, 0.39 and 0.55 to simulate the quarterly price change for each of the eight quarters. If required, round your answers to two decimal places. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300)
Quarter r Return %
1 0.49 %
2 0.89 %
3 0.10 %
4 0.17 %
5 0.55 %
6 0.72 %
7 0.39 %
8 0.55 %
If the current price per share is $85, what is the simulated price per share at the end of the two-year period? If required, round your answer to two decimal places.
$
Discuss how risk analysis would be helpful in identifying the risk associated with a two-year investment in this stock.
Risk analysis requires multiple simulations of the eight-quarter, two-year period, which would then provide a distribution of the ending price per share.
The simulated price per share at the end of the two-year period is $112.98. Risk analysis can help identify the risks of a two-year investment in a stock by observing the distribution of ending prices per share from multiple simulations.
To simulate the price per share for the stock over the coming two-year period, we will use the provided random numbers and calculate the quarterly price change for each of the eight quarters. We will start with an initial price of $85.
Quarter 1:
Price change = (0.49 * (13 - (-7))) + (-7) = 2.06%
New price = $85 + (2.06% * $85) = $86.82
Quarter 2:
Price change = (0.89 * (13 - (-7))) + (-7) = 9.92%
New price = $86.82 + (9.92% * $86.82) = $95.32
Quarter 3:
Price change = (0.10 * (13 - (-7))) + (-7) = -5.60%
New price = $95.32 + (-5.60% * $95.32) = $89.94
Quarter 4:
Price change = (0.17 * (13 - (-7))) + (-7) = -3.68%
New price = $89.94 + (-3.68% * $89.94) = $86.71
Quarter 5:
Price change = (0.55 * (13 - (-7))) + (-7) = 7.85%
New price = $86.71 + (7.85% * $86.71) = $93.66
Quarter 6:
Price change = (0.72 * (13 - (-7))) + (-7) = 10.04%
New price = $93.66 + (10.04% * $93.66) = $103.06
Quarter 7:
Price change = (0.39 * (13 - (-7))) + (-7) = 1.58%
New price = $103.06 + (1.58% * $103.06) = $104.67
Quarter 8:
Price change = (0.55 * (13 - (-7))) + (-7) = 7.85%
New price = $104.67 + (7.85% * $104.67) = $112.98
Therefore, the simulated price per share at the end of the two-year period is $112.98.
By conducting numerous simulations, we can obtain a range of potential outcomes and their probabilities, providing insights into the potential risks and returns associated with the investment.
We can analyze statistical measures such as the mean, standard deviation, and percentiles of the distribution to understand the central tendency, volatility, and potential downside risks.
In summary, risk analysis provides a quantitative framework to evaluate the risk and potential rewards associated with a two-year investment in the stock, enabling investors to make more informed decisions based on their risk preferences and investment goals.
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help pls, i don’t get it
What is the formula for AFC?
The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.
AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.
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I need help solving this
Answer:
Step-by-step explanation:
(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.
x=-4
Then I would sub in -4 where I see a x
-16(-4)+13=77
-20(-4)+23=103
angle LMP = 77
angle NMP = 103
together = 180 so it's correct
Is this graph a function or not a function
Answer:
In the graph of a circle, we can easily draw a straight vertical line passing through its center. This will hit the top and the bottom of the shape. Since this line hits two points, a circle's graph is not a function. We can also observe the equation of a circle.
Answer:
No
Step-by-step explanation:
Do a vertical line test.
First, put your pencil or ruler up against the screen.
Move it down the graph and if there are two points in one x point, it is not a function. For example, look at 0, 3 and 0, -2.5. They share the same x point.
Therefore, it is not a function.
A random sample of 150 students has a grade point average with a mean of 2.86 and with a population standard deviation of 0.78. Construct the confidence interval for the population mean, μ. Use a 98% confidence level.
The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).
In order to construct a 98% confidence interval, follow these steps:1: Identify the given data
Sample size (n) = 150 students
Sample mean (x) = 2.86
Population standard deviation (σ) = 0.78
Confidence level = 98%
2: Find the critical z-value (z*) for a 98% confidence level
Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).
3: Calculate the standard error (SE)
SE = σ / √n
SE = 0.78 / √150 ≈ 0.064
4: Calculate the margin of error (ME)
ME = z* × SE
ME = 2.33 × 0.064 ≈ 0.149
5: Construct the confidence interval
Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711
Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009
The 98% confidence interval is approximately (2.711, 3.009).
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find the measure of the missing angles in the kite
Answer: 360 - 44 - 80 = 236
236 ÷ 2 = 118
both angle equal to 118
Step-by-step explanation:
The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We know that kite is quadrilateral, having :
It has one pair of opposite congruent angles.
One diagonal is bisected.
The top and bottom angles are bisected but
As we know from the kite properties it has one pair of opposite congruent angles
From the properties of the quadrilateral the sum of the interior angles is 360 degrees
44 + angle 1 + angle 2 + 80 = 360
Angle 1 = angle 2 = x(say)
44 + x + x + 80 = 360
2x + 124 = 360
2x = 236
x = 118 degrees
Angle 1 = angle 2 = 118 degrees
Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.
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write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Determine the input UNITS of ITEM and the output UNITS of ITEM for the statement
below:
It is a lovely time of year on the Serengeti Desert. Every time Simba washes his clothes,
he has to use 1 capful of detergent for each load of wash.
Answer:
For statement 1 :
INPUT UNIT OF ITEM : Time of the year on Serengeti Desert
OUTPUT UNIT OF ITEM : Simba washes his clothes
For statement 2
INPUT UNIT OF ITEM : 1 capful of detergent
OUTPUT UNIT OF ITEM : each load of wash
Step-by-step explanation:
For statement 1 :
INPUT UNIT OF ITEM : Time of the year on Serengeti Desert
OUTPUT UNIT OF ITEM : Simba washes his clothes
For statement 2
INPUT UNIT OF ITEM : 1 capful of detergent
OUTPUT UNIT OF ITEM : each load of wash
From answers provided above the basis for the answers is that an input unit of item will have to result to a reaction which is an output unit of item hence the answers above
Consider the vectors \( \vec{u}=\langle 2,-4\rangle \) and \( \vec{v}=\langle 6,-1\rangle \). Determine each of the following. Give the exact answer for the magnitude.
The given vectors have a dot product of 10, cross product of ⟨-8, -12, 24⟩, and magnitude of √20.
Dot product of vector u and vector v: u · v = 10
Cross product of vector u and vector v: u × v = ⟨-8, -12, 24⟩
Magnitude of vector u: ||u|| = √20
To clarify, the dot product of two vectors is calculated by multiplying the corresponding components and summing them. In this case, u · v = (2)(6) + (-4)(-1) = 10.
The cross product of two vectors is determined by taking the determinant of a matrix formed by the vectors and the unit vectors (i, j, k). In this case, u × v = ⟨-8, -12, 24⟩.
The magnitude of a vector is found by taking the square root of the sum of the squares of its components. Here, ||u|| = √(2^2 + (-4)^2) = √20.
These calculations provide the numerical values associated with the dot product, cross product, and magnitude of the given vectors.
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tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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4. Find the circumcenter of AABC with A(1,6), B(1, 4), C(5, 4). (1 point)
O (5,3)
O (3,5)
O (7,3)
O(1,7)
The circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).
From observation:
the y-midpoint of the line, AB is at point;y = (6 + 4) / 2y = 10/2y = 5the x-midpoint of the line, BC is at point;x = (5+1) / 2x = 6 / 2x = 3Therefore, the circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).
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A ramp is 50 feet long and has a 6° incline. a second ramp is 30 feet long and runs parallel to the first ramp. to determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp?
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar, whose value lies between 0 and 1.
What are scalars?These are the quantities that only have magnitude.
What are vectors?These are the quantities that have both magnitude and direction.
Given:
First ramp is 50 feet long and has a 6° incline.Second ramp is 30 feet long and runs parallel to the first ramp.From this, we can observe that the magnitude of the first ramp is greater than that of the second ramp. Because of a smaller magnitude, in order to obtain a vector for the second ramp from the first ramp, we will multiply a scalar value, ranging from 0 to 1 with the vector of the first ramp.
Hence, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
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Find all points where the tangent line is horizontal: x
2
+
x
y
+
y
2
=
1
?
The points where the tangent line is horizontal on the curve \(x^2 + xy + y^2 = 1\) are (√(1/3), -2√(1/3)) and (-√(1/3), 2√(1/3)).
First, let's differentiate the equation implicitly with respect to x:
\(d/dx (x^2 + xy + y^2) = d/dx\) (1)
Using the product rule and chain rule:
2x + x(dy/dx) + y + 2y(dy/dx) = 0
Rearranging the equation and factoring out dy/dx:
(dy/dx)(x + 2y) = -2x - y
To find the points where the tangent line is horizontal, we set dy/dx equal to zero:
dy/dx = 0
This leads to the equation:
0(x + 2y) = -2x - y
0 = -2x - y
y = -2x
Now we substitute this expression for y back into the original equation to find the corresponding x-values:
\(x^2 + x(-2x) + (-2x)^2 = 1\\x^2 - 2x^2 + 4x^2 = 1\\3x^2 = 1\\x^2 = 1/3\)
Taking the square root of both sides:
x = ± √(1/3)
Therefore, the x-values where the tangent line is horizontal are x = √(1/3) and x = -√(1/3).
Substituting these x-values back into the equation y = -2x, we find the corresponding y-values:
For x = √(1/3), y = -2√(1/3)
For x = -√(1/3), y = 2√(1/3)
So, the points where the tangent line is horizontal are (√(1/3), -2√(1/3)) and (-√(1/3), 2√(1/3)).
Complete Question:
Find all points where the tangent line is horizontal: \(x^2 + xy + y^2 = 1\).
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One point of intersection of the curves y=x²-12x+1 and y = kx - 11 is at x = 4. What is the value of k?
Answer:
k = -5
Step-by-step explanation:
x²-12x+1 = kx - 11 ==> since both graph intersect
(4)²-12(4)+1 = k(4) - 11 ==> plug in 4 for x
16 - 48 + 1 = 4k - 11
-32 + 1 = 4k - 11 ==> simplify
-31 = 4k - 11 ==> simplify
-31 + 11 = 4k - 11 + 11 ==> add 11 on both sides to isolate k
-20 = 4k ==> solve for k
k = -20/4
k = -5
Answer:
the value of k comes out to be -5
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A.-4
B.-2
C. -1
D. 1
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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HElppppppppppp
I don’t get it
Answer:
You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps
Step-by-step explanation: