Answer:
Raise 9 to the power of 11.
\(9^{11}\) = 31381059609
Step-by-step explanation:
Answer:
3486784401
Step-by-step explanation:
9×9=81×9=162.......
A uniform, rectangular block made of steel has dimensions 1.00 cm×2.00 cm×3.00 cm . it is placed on a wooden board, and then the board is tilted until the block begins to slide down the board. which face of the block should be in contact with the board, so that it begins to slide at the shallowest angle?
The face of the block that should be in contact with the board to achieve the shallowest angle before sliding is the one with the smallest perpendicular dimension, which is the 1.00 cm by 2.00 cm face.
Block Sliding AngleThe block will begin to slide down the board when the component of the gravitational force parallel to the board (i.e., the force that would cause the block to slide) exceeds the maximum force of static friction between the block and the board. The maximum force of static friction is proportional to the normal force, which is greater for faces of the block that are more perpendicular to the board.
In this case, the face of the block that should be in contact with the board to achieve the shallowest angle before sliding is the one with the smallest perpendicular dimension, which is the 1.00 cm by 2.00 cm face.
The general approach of analyzing the forces involved and identifying the relevant factors that determine the outcome can be applied to many types of problems in physics and other sciences. However, the specific solution for this problem is only applicable for uniform, rectangular blocks with the given dimensions and on a wooden board. For other scenarios, the analysis and solution may differ.
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A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 340^\circ340
∘
340, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
length of arc ≈ 17.8 (to the nearest tenth)
Step-by-step explanation:
To find the length of the arc we use the formula for finding length of an arc.
length of arc = ∅/360 × 2πr
where
∅ = central angle
r = radius
∅ = 340°
r = 3
length of arc = ∅/360 × 2πr
length of arc = 340/360 × 2 × π × 3
length of arc = 340/360 × 6π
length of arc = 2040π/360
length of arc = 204π/36
length of arc = (204 × 3.14)/36
length of arc = 640.56/36
length of arc = 17.7933333
length of arc ≈ 17.8 (to the nearest tenth)
Answer: \(6\pi\)
Step-by-step explanation: Khan academy
a group of students played a game in which they earned points for answering questions correctly. the following dotplot shows the total number of points earned by each student.
The best description of the distribution is bimodal with a gap.
Here in the plot, we can see that there are two peaks and it implies that there are two modes.
This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data
We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.
The following dot-Plot shows the bimodal with a gap.
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20 POINTS!!!!
Recall that the multiplicative inverse of a number a is the number b such that ab = 1. For example, the multiplicative inverse of 3 is . Also recall that division is multiplication by a number’s multiplicative inverse. For example, to divide by 3, just multiply by . With these definitions, use complete sentences to explain why we can’t divide by zero.
What is the value of r in the following diagram.
9
6
Answer:
r = 3.75
Step-by-step explanation:
Using Pythagoras' identity in the right triangle ABC
AC² = BC² + AB²
(r + 6)² = r² + 9²
r² + 12r + 36 = r² + 81 ( subtract r² from both sides )
12r + 36 = 81 ( subtract 36 from both sides )
12r = 45 ( divide both sides by 12 )
r = 3.75
b) For V = Pi r squared , find V when r = 12.5 and h = 8
World War I, often abbreviated as WWI or WW1, also known as the First World War or the Great War, was an international conflict that began on 28 July 1914 and ended on 11 November 1918
What is the length of each side of a cube with the total surface area of 96 in??
А
4 in.
B
12 in.
16 in
D
24 in.
Answer:
Step-by-step explanation:
4in
mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.
160.55 is the difference. i underlined each number i added on each line.
What is an linear equation in math?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The two numbers are 15.75 and 176.3
First we will compare the numbers.
1. A=176.3
2. B=15.75
one's place of A is greater than once place of B.
tens place of A is greater than tens place of B.
Hundred place of A is greater than hundred place of B.
So, A>B
So we will subtract 15.75 from 176.3.
176.30 -15.75=
176.30 ----A
- 1 5.75 ----B
Hundreths place of A - Hundreths place of B = 0-5=10-5=5
Tenth place of A - Tenth place of B =12-7=5
ones place of A - ones place of B=5-5=0
Tens place of A - Tens place of B =7-1=6
So the solution is 160.55
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How can I solve this problem?
a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price
b) The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
Given,
The purchase price for the studio apartment = $200,000
The down payment they paid = $60,000
a) We have to find the percentage of down payment to purchase price.
Here,
Percentage = (down payment x 100) / purchase price
= (60,000 x 100) / 200,000
= 60/2
= 30
That is,
The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.
b) We have to find the percentage to purchase price if the down payment is $90,000
Here,
Percentage = (down payment x 100) / purchase price
= (90,000 x 100) / 200,000
= 90/2
= 45
That is,
The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
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Find the volume of the sphere:
A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters
Work Shown:
r = 6 = radius
V = volume of a sphere of radius r
V = (4/3)*pi*r^3
V = (4/3)*pi*6^3
V = 904.77868423386
V = 904.8
I used my calculator's stored version of pi (instead of something like pi = 3.14)
The units "cubic meters" can be abbreviated to m^3 or \(m^3\)
The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.
The volume of a sphere can be calculated using the formula:
V = \(4/3 * \pi * r^3\),
Where V is the volume and r is the radius of the sphere.
\(\pi\) = 3.14
The radius of the sphere (r) = 6m
Plugging in the given radius of 6m into the formula, we get:
V = (4/3) * \(\pi\) * (6^3)
V = 1.333 * \(\pi\) * 216
V = 1.333 * 3.14 * 216
V = 4.1866 * 216
V = 904.8 cubic meters
Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8 cubic meters.
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Which ordered pair makes both inequalities true Y is less than 3 x 1 y is greater than or equal to negative x 4?.
The ordered pair (4, 0) makes both inequalities true.
What is inequality equation?
The mathematical expressions in which both sides are not equal are called inequalities.
Main body:
In inequality, unlike in equations, we compare two values.
The equal to sign in between is replaced by less than, greater than or not equal to sign.
It is given that
y < 3x -1 …. (1)
y > -x + 4 …. (2)
Let us take the point (4, 0)
In inequality (1)
y < 3x-1
0 < 3 (4) - 1
0 < 12 - 1
0 < 11 which is true
In inequality (2)
y ≥ - x + 4
0 ≥ -4 + 4
0 ≥ 0 …. Which is true
Therefore, the ordered pair (4, 0) makes both inequalities true.
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When full, one of the pools at Sapphire Island will hold 43,000 gallons of water. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute. Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level. Explain the steps you used to write your equation.
The equation to determine the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity can be found using the following steps.
To write an equation that can be used to find the number of hours it will take to fill the pool from its current level, we need to use the following information:
The pool's capacity: 43,000 gallons
The current level of the pool: 20,000 gallons
The rate of filling the pool: 130 gallons per minute
We can start by using the formula:
time = (amount needed to fill)/(rate of filling)
The amount needed to fill the pool is the difference between the pool's capacity and the current level of the pool.
amount needed to fill = 43,000 - 20,000 = 23,000 gallons
Now we can substitute this value in the formula above:
time = (23,000 gallons)/(130 gallons/minute)
To convert the time to hours, we divide the time in minutes by 60
time = (23,000 gallons)/(130 gallons/minute) × (1 hour/60 minutes)
So, the equation that can be used to find h, the number of hours it will take to fill the pool from its current level is:
h = (23,000 gallons) / (130 gallons/minute) × (1 hour/60 minutes)
Note that this equation is not simplified, you can simplify it by canceling out common factors, you'll get:
h = (23000 / 130) × (1/60)
This equation can be used to find the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity.
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Describe the transformation of f(x) to g(x).
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up units to g(x).
C. (x) is shifted up 2 units to g(x).
D. f(x) is shifted down 2 units to g(x).
Answer:
D
Step-by-step explanation:
write the missing angle measure next to each letter.
please help girl
The measure of the missing angles are a = 65°, b = 115°, c = 115°, d = 65° and e = 65°
How to write the missing angle measure?Angle geometry is a branch of mathematics that deals with angles and the properties of angles in geometric shapes such as measuring angles, classifying angles, and solving problems involving angles.
The measure of the missing angles are as follow:
a = 65° (corresponding angles are equal)
a + b = 180° (sum of angles of straight line is 180°)
65° + b = 180°
b = 180-65 = 115°
c = b (corresponding angles are equal)
c = 115°
d = 180 - c (sum of angles of straight line is 180°)
d = 180 - 115 = 65°
e = d (corresponding angles are equal)
e = 65°
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A rectangle has an area of 126 square yards and a width of 7 yards.
A rectangle has an area of 126 square yards and a width of 7 yards. The length of the rectangle is 18 yards.
you have a rectangle with an area of 126 square yards and a width of 7 yards. To find the length of the rectangle, we need to use the formula for the area of a rectangle, which is A = l x w, where A is the area, l is the length, and w is the width.
In this case, we know that the area is 126 and the width is 7, so we can plug these values into the formula:
126 = l x 7
To solve for l, we need to isolate it on one side of the equation. We can do this by dividing both sides by 7:
126/7 = l
Simplifying the left side gives us:
18 = l
Therefore, the length of the rectangle is 18 yards.
In summary, if a rectangle has an area of 126 square yards and a width of 7 yards, then the length of the rectangle is 18 yards. This can be found by using the formula for the area of a rectangle, A = l x w, and solving for l.
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Note the full question is
A rectangle has an area of 126 square yards and a width of 7 yards. Find the length of the rectangle.
Find the area of a trapezoid which has a measure of
7 meters for its height and 4 meters and 6 meters
for its two bases.
The area of the trapezoid is 35 square meters
Calculating the area of a trapezoidFrom the question, we are to find the area of the given trapezoid.
To find the area of a trapezoid, we can use the formula:
A = 1/2(a + b)h
Where A is the area of the trapezoid
a and b are the bases of the trapezoid
and h is the height of the trapezoid
Substituting the given values into the formula, we get
A = 1/2(4 + 6)(7)
Simplifying this expression gives:
A = 1/2(10)(7)
A = 5 × 7
A = 35
Therefore, the area is 35 square meters
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The scatter plot shows the relationship between the weekly hours of watching television and the weekly hours spent exercising, by the students of a high school:
A scatter plot is shown with the title Leisure Activities. The x-axis is labeled hours spent exercising, and the y-axis is labeled hours spent watching TV. Data points are located at 1 and 4, 2 and 6, 2 and 3, 4 and 3, 6 and 1, 4 and 5, 7 and 2, 0 and 6. A line connects the points 0 comma 6 and 8 comma 0.
What is the y-intercept of the line of best fit and what does it represent? (4 points)
a. 6 hours; the number of hours students exercise when they do not watch television
Selected:b. 6 hours; the number of hours students watch television when they do not exerciseThis answer is correct.
c. 8 hours; the number of hours students exercise when they do not watch television
d. 8 hours; the number of hours students watch television when they do not exercise
Answer:
b . 6 hours the number of hours students watch television when they do not exercise
Step-by-step explanation:
hours the number of hours students watch television when they do not exercise
Thats how I got the answer
Answer:
6 hours; the number of hours students watch television when they do not exercise
Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (12-4x)^2 This simplifies to: AnswerThe degree of our simplified answer is:
We are asked to simply the following polynomial
\((12-4x)^2\)Let us find the product of the above polynomial and simplify it
\(\begin{gathered} (12-4x)^2 \\ (12-4x)\cdot(12-4x) \\ 12\cdot12+12\cdot(-4x)-4x\cdot12-4x\cdot(-4x) \\ 144-48x-48x+16x^2 \\ 144-96x+16x^2 \\ 16x^2-96x+144 \end{gathered}\)Therefore, the simplified polynomial is
\(16x^2-96x+144\)The degree of a polynomial is the highest exponent (power)
For the given case, the highest exponent is 2
Therefore, the degree
the percent yield is calculated as the ratio of the
The percent yield is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100.
Percent yield is a measure of how efficient a chemical reaction or process is in producing the desired product.
The formula for percent yield is:
Percent Yield = (Actual Yield / Theoretical Yield) * 100
The actual yield is the amount of product obtained from the reaction or process, typically measured in grams or moles. It represents the actual amount of product obtained in the laboratory.
The theoretical yield, on the other hand, is the maximum amount of product that can be obtained based on stoichiometry and other factors. It is calculated using balanced chemical equations and the starting amounts of reactants.
By dividing the actual yield by the theoretical yield and multiplying by 100, we get the percent yield, which is expressed as a percentage.
This value provides insight into the efficiency of the reaction or process, with a higher percent yield indicating a more efficient conversion of reactants into products.
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please solve it .... it's an algebraic question...
Answer:
14y³
Step-by-step explanation:
On the left side, the x^7’s cancel out. On the right, the x’s and z² cancel out. The y^5 becomes y^3. That leaves you with
7y^3-56/-8y^3, which equals
7y^3+7y^3=
14y³
Company's Complaints
Number
of Complaints
225
205
187
169
147
130
Week
1
23
3
45
6
Based on the line of best fit, how many complaints should the company expect at the end of week 8?
A 110
B 96
C 91
D 75
The company ought to anticipate 96 complaints at the conclusion of week 8 based on the line of best. (Option B).
How to Solve the Problem?To anticipate the number of complaints at the conclusion of week 8, we got to utilize the line of best fit condition, which speaks to the relationship between the weeks and the number of complaints.
Expecting that we have as of now calculated the line of best fit and determined that it may be a straight relationship, we are able utilize the slope-intercept frame of a line:
y = mx + b
where:
y = the anticipated number of complaints at the conclusion of week 8
m = the slant of the line of best fit
x = 8 (since we need to predict the number of complaints at the conclusion of week 8)
b = the y-intercept of the line of best fit
We will calculate the slant and y-intercept utilizing the given information:
Incline (m): To discover the slant of the line of best fit, we got to utilize the equation:
m = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
where:
n = the number of information focuses (in this case, 6 weeks)
∑xy = the entirety of the items of the x and y values
∑x = the whole of the x values
∑y = the whole of the y values
∑x^2 = the entirety of the squared x values
Utilizing the information given within the table, ready to calculate:
∑xy = (1225) + (2205) + (3187) + (4169) + (5147) + (6130) = 2859
∑x = 1 + 2 + 3 + 4 + 5 + 6 = 21
∑y = 225 + 205 + 187 + 169 + 147 + 130 = 1063
∑x^2 = 1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 = 91
Utilizing these values, ready to calculate the incline:
m = ((62859) - (211063)) / ((6*91) - (21^2)) = -17.5
Y-intercept (b): To discover the y-intercept of the line of best fit, we will utilize the equation:
b = y - mx
where:
y = the cruel of the y values
m = the slant of the line of best fit
x = the cruel of the x values
Utilizing the information given within the table, able to calculate:
y = (225 + 205 + 187 + 169 + 147 + 130) / 6 = 177.17
x = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5
Utilizing these values, ready to calculate the y-intercept:
b = 177.17 - (-17.5 * 3.5) = 235.92
Presently that we have the incline and y-intercept, we are able to utilize the condition for a line to anticipate the number of complaints at the conclusion of week 8:
y = -17.5x + 235.92
where x = 8 (since we need to anticipate the number of complaints at the conclusion of week 8)
y = -17.5(8) + 235.92
y = 96.42
Adjusting to the closest entirety number, the answer is (B) 96 complaints. Therefore, the company ought to anticipate 96 complaints at the conclusion of week 8 based on the line of best
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3. A music store sells a guitar for $45. If the local sales tax is 6%, what is the total cost of the guitar, including tax? Do NOT use a dollar sign in your
Answer:
47.70
Step-by-step explanation:
6%= 2.7
2.7 +45
=47.7
Decide!!!!!!!!!!!!!!
A third alternative to the formulas I suggested in a comment is to use the vector cross product. Recast the three given points as points in 3D space with 0 z-coordinate:
A(20, 21, 0), B(8, 29, 0), and C(13, 1, 0)
Now consider two vectors,
u = B - A = 〈8, 29, 0〉 - 〈20, 21, 0〉 = 〈-12, 8, 0〉
v = C - A = 〈13, 1, 0〉 - 〈20, 21, 0〉 = 〈-7, -20, 0〉
Then recall the cross product identity,
||u × v|| = ||u|| ||v|| |sin(θ)|
where θ is the angle between the two vectors. The magnitude of u × v is equal to the area of the parallelogram spanned by u and v, and hence twice the area of the triangle of interest.
So we have
area = ||1/2 〈-12, 8, 0〉 × 〈-7, -20, 0〉||
area = 1/2 ||〈-12, 8, 0〉 × 〈-7, -20, 0〉||
area = 1/2 ||〈0, 0, 296〉||
area = 296/2
area = 148
4.) Determine a range for the missing side of the triangle below.
25 Points
The missing side of the triangle is of the range
2 to 8
How do triangles work?The triangle is a polygon with three angles, as its name suggests. the three of its line segments are connected end to end.
As a result, we may conclude that a triangle is a polygon because it has three sides, three angles, and three vertices. Additionally, the sum of any triangle's three angles is 180 degrees.
The sides of triangles are such that no side is less than the difference of two sides
Also, no side is greater than the sum of the two sides
hence the range, let the third side be x
x < 5 + 3 = 8
x > 5 - 3 = 2
2 to 8
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Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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y ( x + w ) = c ( x + z )
The formula for x in terms of other terms in the equation is; x = (cz-yw)/(y-c).
What is the formular for x in term of other terms in the equation?According to the task content, it follows that the variable X is to be made the subject of the formula;
Hence, it follows that;
y ( x + w ) = c ( x + z )
yx +yw = cx +cz
x(y-c) = (cz-yw)
x = (cz-yw)/(y-c)
Remarks: The complete question requires that x be made the subject of the formula.
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PLZ ANSWER QUICKLY !!!!!!
Answer:
\(x = 5\sqrt{3}\)
Step-by-step explanation:
Due to the Pythagoras theorem,
\(a^2 = b^2+c^2\)
Substituting the values:
\(x^2 = \sqrt{26} ^2 + 7^2\\\\x^2 = 26+49\\\\x^2 = 75\\\\x = \sqrt{75} \\\\x = 5\sqrt{3}\)
EDIT: My bad, I didn't notice the options,
\(x = 5\sqrt{3} \\x = 8.66025403784\\\)
x ≅ 8.7m
Answer:
Option B
8.7m
Step-by-step explanation:
Given,
Base of the triangle
\( = \sqrt{26m} \)
Height of the triangle = 7m
Therefore, According Pythagoras Theorem,
\({hypotenuse}^{2} = {base}^{2} + {height}^{2} \)
\( = > {h}^{2} = {( \sqrt{26}) }^{2} + {7}^{2} \)
\( = > {h}^{2} = 26 + 49\)
\( = > {h}^{2} = 75\)
\( = > h = \sqrt{75} \)
=> h = 8.6602540378
As we convert to nearest tenth so we check the Hundreth digit i. e.
8.6602540378
As 6 is greater than 5 so,
8.7 m (Ans)
Use the diagram of Nicholas's town to answer the question.
Where is Nicholas’s home located?
A. (1, 1)
B. (0, 1)
C. (–1, 0)
D. (0, 0)
We want to use the diagram of Nicholas's town to find where Nicholas's home is located.
The correct option is D, the coordinates of Nicholas's home are (0, 0).
First, each point on the diagram is written as (x, y)
Such that the values of x come from the horizontal axis, while the values of y come from the vertical axis,
And the point where the axes cross is the point (0, 0).
Particularly, here we can see that the house symbol is where both axes intercept, so Nicholas's home is located at (0, 0), meaning that the correct option is D.
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15 solids and 15 liquids found in the kitchen.
Please help.
15 liquids that can be found in a kitchen include:
WaterMilkJuice Cooking oil VinegarWineSoy sauceHoneySoupKetchupMustardMayonnaiseSalad dressingEggnogCocktail mixers15 solids in a kitchen are:
FlourSugarSaltRiceBaking sodaBaking powderSpices NutsPastaButterCheeseBreadMeat Vegetables FruitsWhat are some solids and liquids in kitchens ?When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.
As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.
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choose the random variables from this set that are discrete. select all that apply. multiple select question. the weight of a bag of a dozen apples. the travel time of an airline flight. the number of dots uppermost of rolling a pair of dice. number of drive-thru customers to the bank on a given day.
Examples of random variables are option A: the weight of a bag of a dozen apples, and option C: the number of dots uppermost of rolling a pair of dice.
Because they can only have a finite number of values, discrete random variables include things like the weight of a bag of twelve apples and the number of dots that appear on top of a pair of dice.
Examples of continuous random variables are the length of an airline flight and the quantity of drive-through clients at a bank on a particular day since they might have any value within a specified range.
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Correct question:
Choose the random variables from this set that are discrete. select all that apply. multiple select question.
the weight of a bag of a dozen apples.
the travel time of an airline flight.
the number of dots uppermost of rolling a pair of dice.
number of drive-thru customers to the bank on a given day.