Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 5 meters. a. 65.417 cu. m b. 523.333 cu. m c. 26.167 cu. m d. 36.797 cu. m
Answers
Answer:
A. 65.417 meters^3
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
\(V=\frac{4}{3}\pi r^3\)
We are given the diameter. We need to find the radius. The radius is half of the diameter.
r=d/2
The diameter is 5 meters.
d= 5 m
r= 5 m /2
r=2.5 m
The radius is 2.5 meters.
Now we know the radius, and can substitute it into the formula. We can also substitute 3.14 in for pi.
\(V=\frac{4}{3}\pi r^3\)
\(V=\frac{4}{3} **3.14* 2.5^3\)
First, evaluate the exponent: 2.5^3
2.5^3 = 2.5*2.5*2.5 =15.625
\(V=\frac{4}{3}*3.14*15.625\)
Multiply all the numbers together.
\(V=\frac{4}{3}*(3.14*15.625)\)
\(V=\frac{4}{3}*49.0625\)
\(V=65.4166667\)
Round to the nearest thousandth. The 6 in the ten thousandth place indicates that we should round the 6 in the thousandth place up to a 7
\(V=65.417\)
\(V=65.417 meters^3\)
The volume of the sphere is 65.417 cubic meters. A is the correct answer.
Related Questions
the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers
Answers
The second number is y
So according to the given condition the sum of these two numbers is 84, so we can write
x+y=84 ————-(1)
Again one of them is more than 12 than the other that's why we can write,
x+12=y -------------(2)
Now putting the values of y in equation (1) we get,
x+x+12=84
=>2x+12=84
=>2x+12–12=84–12
=>2x=72
=>2x/2=72/2
=>x=36
Taking the value of x in equation(2) we get,
36+12=y
=>y=48
The two numbers are 48 and 36.
Check:
48+36=84
=>84=84
Also 48 =36+12; which is more than 12 of 36.
the measure of an angle is 10 less then 4 times the measure of its complement. find the measure of the angle
Answers
= x= 36-4x-10
= x= 26-4x
= 4x+x= 26
= 5x= 26
= x= 26/5
suppose g is an undirected (but not necessarily simple) graph on 3 vertices, and every vertex of g has degree k. if g has exactly 12 edges, what is k?
Answers
The degree, k, of each vertex in the graph g is 8.
Let's assume that every vertex in g has degree k. Since g is an undirected graph, each edge contributes to the degree of two vertices. Therefore, the sum of degrees of all vertices in g is equal to twice the number of edges in g.
Given that g has exactly 12 edges, the sum of degrees of all vertices is 2 * 12 = 24. Since g has only 3 vertices, the sum of their degrees must be 24.
If we assume that every vertex has degree k, then the sum of the degrees of the 3 vertices is 3k. Therefore, we can set up the equation 3k = 24.
Solving this equation, we find that k = 24 / 3 = 8. So, each vertex in g has a degree of 8.
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What is the area in square units?
Answers
By geometric formulas, the gray square has an area of 25 square units.
How to determine the area of the gray squareSquares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:
A = l²
Where l is the length of the side of a square, in units.
All the required lengths are represented in the image attached below. First, determine the side length of the gray square:
7 + x = 12
x = 12 - 7
x = 5
The gray square has four sides with a length of 5 units.
Second, determine the area of the gray square by means of square formula:
A = x²
A = 5²
A = 25
According to area formula for squares, the area of the gray square is equal to 25 square units.
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ILL BRAINLIEST YOU PLEASE HELP ME
Answers
Answer:
B
Step-by-step explanation:
Theorem: If a quadrilateral has 2 sets of opposite sides congruent, 2 sets of opposite angles congruent, and has consecutive angles which are supplementary, then it is a parallelogram.
Hope this helps!
(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2. Step 1: (4.3 − 6.7) − 1.2 Step 2: 4.3 − (6.7 + 1.2) Step 3: 4.3 − (7.9) Step 4: −3.6
Answers
Answer:
Option (C)
Step-by-step explanation:
This question is incomplete; here is the complete question.
Morris is showing his work in simplifying,
(-6.7 + 4.3) - 1.2
Step 1: (4.3 - 6.7) - 1.2
Step 2: 4.3 - (6.7 + 1.2)
Step 3: 4.3 - 7.9
Step 4: -3.6
Which statement is true ?
A). Step 1, Morris used the commutative property.
B). Step 2, Morris used the distributive property.
C). Step 3, Morris used the associative property.
D). Step 4, Morris's answer is incorrect.
In associative property,
a + (b + c) = (a + b) + c
By this property,
(-6.7 + 4.3) - 1.2
Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2
Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]
Step 3, 4.3 - 7.9
Step 4, -3.6
OVERDUE PLEASE HELP OR I’LL CRY
Answers
Answer:
x = 9
Step-by-step explanation:
combine all the equations and set it equal to 360
10x+ 7 + 88 + 127 + 5x+3 = 360
then combine like terms
15x + 225 = 360
then solve the equation by moving 225 to the right side of the equation
15x = 135
divide both sides by 15
x = 9
Kaun ha R 5,400. 00 on hand to be depoited in two account. He ha depoited part
of it in a fixed depoit at 3% annual interet and the ret in a aving account that earn
2% annual interet. If the imple interet earned from both account i R 140. 00 for
the year, then how much doe he have in each account
Answers
Based on simultaneous equations, Kaun has deposited in each account the following:
Account A = R 3,200Account B = R 2,200.What are simultaneous equations?When two or more algebraic equations are solved concurrently, we call them simultaneous equations.
We can solve simultaneous equations by graphing, elimination, or substitution methods.
The total deposit in the two accounts = R 5,400
The annual interest in Account A = 3% or 0.03
The annual interest in Account B = 2% or 0.02
The total interest earned from both accounts for the year = R 140
Let Account A be designated as a and Account B be designated as b.
Equations:a + b = 5,400 ... Equation 1
0.03a + 0.02b = 140 ... Equation 2
Eliminate a by multiplying Equation 1 by 0.03:
0.03a + 0.03b = 162 ... Equation 3
Subtract Equation 2 from Equation 3:
0.03a + 0.03b = 162
-
0.03a + 0.02b = 140
= 0.01b = 22
b = 2,200
From Equation 1, substitute b:
a + 2,200 = 5,400
a = 3,200 (5,400 - 2,200)
Check:
In equation 2:
0.03a + 0.02b = 140
0.03(3,200) + 0.02(2,200) = 140
96 + 44 = 140
140 = 140
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\(\frac{7}{10} - \frac{2}{5}\)
Answers
Answer:
\(\frac{3}{10}\)
Step-by-step explanation:
First, we need to make the denominators the same.
\(\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}\)
Then, we subtract the numerator.
\(\frac{7}{10} -\frac{4}{10} =\frac{3}{10}\)
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10
WILL GIVE BRAINLIEST (08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
Answer:
(- 2, - 3 )
Step-by-step explanation:
y = 3x + 3 → (1)
y = x - 1 → (2)
substitute y = 3x + 3 into (2)
3x + 3 = x - 1 ( subtract x from both sides )
2x + 3 = - 1 ( subtract 3 from both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 2 - 1 = - 3
solution is (- 2, - 3 )
Answer:
y = -3, x = -2
Step-by-step explanation:
1. Substitute "y = x - 1" in for y in the first equation:
x - 1 = 3x + 3
2. Isolate x:
x = 3x + 3 + 1
3. Combine like terms:
-2x = 4
4. Solve for x:
-2x/-2 = 4/-2
x = -2
5. Solve for y with substitution (using the second equation):
y = -2 - 1
y = -3
hope this helps!
Find the range of the graphed function.
Answers
Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.
Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.
That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)
Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)
Take a look at line graph as an example of range being set of all real numbers, or cubic function.
Answer/Conclusion
The range exists from negative value which is -9 to the maximum value which is 5.That means the range is -9<=y<=5
what is the maximum distance between emma and lily over the time interval 0<= t<= 15
Answers
Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.
To answer this question, we need to know the position functions of Emma and Lily over the time interval 0<= t <= 15. Let's assume that Emma's position function is given by x(t) = 2t^2 + 5t and Lily's position function is given by y(t) = 3t^2 - 6t + 8. To find the maximum distance between Emma and Lily, we need to find the maximum value of the distance function between them. The distance between Emma and Lily at time t is given by D(t) = sqrt((x(t) - y(t))^2). Simplifying this expression, we get D(t) = sqrt((2t^2 + 5t - 3t^2 + 6t - 8)^2) = sqrt((t^2 + 11t + 64)^2). To find the maximum value of D(t) over the interval 0<= t <= 15, we can take the derivative of D(t) and set it equal to 0. After some calculations, we find that the maximum value of D(t) occurs at t = 7.5 seconds, and the maximum distance between Emma and Lily is approximately 22.8 units. Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.
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How will she know if 5(3x – 6) is equivalent to 15x – 30?
Answers
Answer:
By distributing the parenthesis
Step-by-step explanation:
Given
5(3x - 6) ← multiply each term in the parenthesis by 5
= 15x - 30 ← as required
A bulk food store sells two types of trail mix that are a combination of nuts, chocolate, and dried fruit. One of the trail mixes is 75% nuts, and the other is 35% nuts. A customer puts in a special order for 10 pounds of trail mix that is 60% nuts. How much of each trail mix should be combined to create the special order trail mix?
Answers
The amount of each trail mix that should be combined to create the special order trail mix are:
6.25 pounds of the trial that contains 75% nuts.
3.75 pounds of the trial that contains 35% nuts.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Trial mix A = x
= 75% nuts.
Trial mix B = y
= 35% nuts
Now,
Two equations are:
x + y = 10 _____(1)
x = 10 - y _____(2)
0.75x + 0.35y = 10 x 0.60 ______(3)
Substituting (2) in (3)
0.75 (10 - y) + 0.35y = 6
7.5 - 0.75y + 0.35y = 6
7.5 - 6 = 0.75y - 0.35y
1.5 = 0.40y
y = 1.5/0.40
y = 3.75
Now,
x = 10 - 3.75
x = 6.25
Thus,
6.25 pounds of the trial that contains 75% nuts.
3.75 pounds of the trial that contains 35% nuts.
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Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
Answers
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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Can someone please help me! Do not input spaces. Remember an equation has an equal sign.
Answers
Answer:
5) -1-3=-4 or -1+-3=-4
6) -4+3=-1
Step-by-step explanation:
x= -616)2 - 49/1)
2(9)
Answers
Answer:
1
cant explain it it is too hard to but the answer is 1
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Answers
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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"Match each definition in column 1 with a vocabulary word from column 2." Some of the entries in Column 2 do not apply
Group of answer choices
A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The most common result (the most frequent value) of a test, survey, or experiment
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The score that divides the results in half - the middle value
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The average of a distribution is equal to the summation of x divided by the number of observations
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The difference between the highest and lowest score in a distribution
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
Probability distributions whose graphs can be approximated by bell-shaped curves
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The average of the squared distanced of the data values from the mean
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The positive square root of the variance
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The number of standard deviations a point is from the population mean
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
The branch of statistics that involves organizing, displaying, and describing data.
[ Choose ] Range Descriptive statistics z-score Random sample Mean Statistics Variance Standard deviation Median Mode Inferential statistics Chebyahev's theorem Skewed distribution Normal distribution
Answers
The definitions in Column 1 match with the following vocabulary words in Column 2:
A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics
The definitions in Column 1 correspond to specific vocabulary words from Column 2. Each definition describes a statistical concept or method. The corresponding vocabulary words are as follows:
A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics.
The most common result (the most frequent value) of a test, survey, or experiment: Mode.
The score that divides the results in half - the middle value: Median.
The average of a distribution is equal to the summation of x divided by the number of observations: Mean.
The difference between the highest and lowest score in a distribution: Range.
Probability distributions whose graphs can be approximated by bell-shaped curves: Normal distribution.
The average of the squared distances of the data values from the mean: Variance.
The positive square root of the variance: Standard deviation.
The number of standard deviations a point is from the population mean: z-score.
The branch of statistics that involves organizing, displaying, and describing data: Statistics.
These vocabulary words are fundamental in statistical analysis and are used to describe and interpret data in various fields of study
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Gio has a balance of $3,230 on his credit card that has a Apr of 22%. He pays the current of $105. If gio wants to pay off his balance in 24 months, determine the monthly payment
Answers
Gio has a credit card balance of $3,230 with an annual percentage rate (APR) of 22%. He wants to pay off his balance in 24 months. To determine the monthly payment, we need to calculate the amount that Gio needs to pay each month to cover both the principal and the interest. The monthly payment required to pay off the balance in 24 months is approximately $159.58.
To calculate the monthly payment, we can use the formula for calculating the monthly payment for a fixed-term loan with interest. The formula is:
Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
P is the principal balance (initial balance)
r is the monthly interest rate
n is the total number of months
First, we need to calculate the monthly interest rate. The annual interest rate of 22% needs to be divided by 12 to get the monthly interest rate, which is approximately 1.83%.
Next, we substitute the values into the formula:
P = $3,230
r = 0.0183 (monthly interest rate)
n = 24 (number of months)
Monthly Payment = $3,230 * (0.0183 * (1 + 0.0183)^24) / ((1 + 0.0183)^24 - 1)
Solving the equation, the monthly payment comes out to approximately $159.58.
Therefore, Gio needs to make a monthly payment of approximately $159.58 to pay off his credit card balance of $3,230 in 24 months.
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can somone help me out i am kinda stressed
Answers
Answer: 4 1/2
Step-by-step explanation:
Adding all the fractions you get 4 1/2
What is the effect on the graph of f(x) = x^2 when it is transformed to
h(x) = 1/4x^2 – 11?
O A. The graph of f(x) is horizontally compressed by a factor of 4 and
shifted 11 units down.
O B. The graph of (x) is vertically compressed by a factor of 4 and
shifted 11 units to the right.
C. The graph of f(x) is vertically compressed by a factor of 4 and
shifted 11 units down.
D. The graph of f(x) is horizontally stretched by a factor of 4 and
shifted 11 units to the right.
Answers
Answer:
c because a and b and d does not make since
Step-by-step explanation:
Answer:
C, vertically compressed by a factor of 4 and shifted 11 units down
Step-by-step explanation:
what fraction (x) of your actual weight would a scale at the equator read if earth days were merely 2 hours long?
Answers
If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.
The weight or gravitational force on a mass can also be considered as centripetal force.
The formula for the centripetal force is:
F = m v²/R
In this case,
m = your mass
v = tangential velocity or earth's rotation speed
R = earth's radius
Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.
v = C/t
t₁ = 24 hours
t₂ = 2 hours
Since the units are the same, we do not need to convert the unit when comparing them.
Notice that the centripetal force is directly proportional to the square of rotation speed.
F ∝ v²
Hence,
F₁ : F₂ = v₁² : v₂²
But v is inversely proportional to rotation period. Hence,
F₁ : F₂ = t₂² : t₁²
F₁ / F₂ = (t₂ /t₁)²
F₁ / F₂ = (2 /24)²
F₁ / F₂ = (1 /12)²
F₁ / F₂ = 1/144
Hence, your weight will be 1/144 of your actual weight.
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Hypotenuse-Leg (HL)
Side-side-angle (SSA)
Side-Angle-side (SAS)
Side-side-side (SSS)
Angle-Angle-side (AAS)
Angle-Angle-angle (AAA)
Angle-side-angle (ASA)
Answers
Answer:
ssa
Step-by-step explanation:
Solve by factoring64x^2-1=0
Answers
Given:
\(64x^2-1=0\)Required:
To solve the given equation by factoring method.
Explanation:
Consider
\(64x^2-1=0\)\(\begin{gathered} (8x)^2-1^2=0 \\ (8x+1)(8x-1)=0 \\ \\ 8x+1=0 \\ 8x=-1 \\ x=-\frac{1}{8} \end{gathered}\)And
\(\begin{gathered} 8x-1=0 \\ 8x=1 \\ x=\frac{1}{8} \end{gathered}\)Final Answer:
\(x=-\frac{1}{8},\frac{1}{8}\)Describe a vector in your own words. - Explain a method to add vectors. - Compare and contrast the component styles. - Decompose a vector into components. - Describe what happens to a vector when it is multiplied by a scalar. - Arrange vectors graphically to represent vector addition or subtraction. See all published activities for vector Addition here. For more tipss on using PhET sims with your students, see Tips for Using PhETT
Answers
A vector is a mathematical object that represents both magnitude and direction. It is commonly used to represent physical quantities such as displacement, velocity, and force. In simple terms, a vector is an arrow that has a length (magnitude) and points in a specific direction.
To add vectors, we can use the "tip-to-tail" method. This involves placing the tail of the second vector at the tip of the first vector and drawing a new vector from the tail of the first vector to the tip of the second vector. The resulting vector, called the sum or resultant, is the vector that connects the tail of the first vector to the tip of the second vector.
Component styles are two common methods used to represent vectors: the Cartesian coordinate system and the polar coordinate system. In the Cartesian coordinate system, vectors are represented by their horizontal and vertical components. The polar coordinate system represents vectors using their magnitude and angle from a reference axis.
To decompose a vector into components, we use trigonometry. For example, in the Cartesian coordinate system, we can find the horizontal and vertical components of a vector by using the cosine and sine functions, respectively, along with the magnitude and angle of the vector.
When a vector is multiplied by a scalar (a real number), the vector's magnitude is scaled by the scalar value, and its direction remains unchanged. If the scalar is negative, the vector will reverse direction.
Graphically, we can arrange vectors by placing their tails at the origin of a coordinate system and drawing the vectors as arrows with their tips pointing to the desired location. Vector addition is represented by placing the tail of the second vector at the tip of the first vector, while vector subtraction is represented by placing the tail of the subtracted vector at the tip of the original vector, pointing in the opposite direction.
Overall, vectors provide a powerful mathematical tool for representing and manipulating quantities with both magnitude and direction. They are essential in many areas of science, engineering, and mathematics.
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need rn! worth 13 ~ what is the equation of the parabola? 謝謝
Answers
Answer:
Its B.
Step-by-step explanation:
Emath.com- Parabola calculator
A regular hexagon has a perimeter of 57 inches.
What is the area of the hexagon?
Enter your answer, rounded to the nearest tenth, in the box.
Answers
Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.
Area of Hexagon:The area of a regular hexagon is calculated using the formula (3√3 / 2) × s^2, where s is the length of a hexagonal side. Given that we are talking about a regular hexagon, it is important to remember that all of the sides are the same length. The formula Area of the Hexagon = (3√3 / 2) × s^2, where's' is the length of the hexagonal side, can be used to determine the area of a regular hexagon when one of its sides is known.
All of the sides of the hexagon are the same length because it is a regular shape.
Therefore, each side has a length of 57 inches / 6 = 9.5 inches.
To find the area of the hexagon, we can use the formula:
Area = (3√3 / 2) × s^2
where s is length of a side.
Substituting s = 9.5 inches, we get:
Area = (3√3 / 2) × (9.5 inches)^2
Area ≈ 244.3 square inches
Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.
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Find the mean, median, mode and range 28,45,53,28, 47 show work please
Answers
Value of mean is, 40.2
Value of median is, 45
Value of mode is, 28
Value of range is, 25
Given that;
Data set is,
⇒ 28, 45, 53, 28, 47
Now, We can arrange into ascending order as;
⇒ 28, 28, 45, 47, 53
Hence, Value of mean is,
⇒ (28 + 28 + 45 + 47 + 53) / 5
⇒ 40.2
And, The value of median is,
⇒ (5 + 1) / 2
⇒ 6/2
⇒ 3rd term
⇒ 45
The value of mode =28
And, The value of range is,
⇒ 53 - 28
⇒ 25
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answers on a multiple choice test have choices a, b, c, d. the instructor has chosen answers randomly according to a discrete uniform distribution. what is the probability the first 3 questions have the same answer choice?
Answers
The probability that the first three questions have the same answer choice is 1/4, since there are four answer choices and the instructor is randomly selecting the answers according to a discrete uniform distribution. This means that each answer choice has an equal probability of being chosen. Therefore, the probability of all three questions having the same answer is 1/4.
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