Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Anne wants to make a scale drawing of her house with the drawing showing a ratio 1 inch to 12 feet.
If Anne's house is 84 feet long, how long, in inches, should her scale drawing be?
7 in
\( \frac{1}{2} = \frac{x}{84} \\ 84 \times \frac{1}{12} = \frac{x}{84} \times 84 \\ 84 \times \ \frac{1}{12} = x \\ 7 = x\)
What is the value of the expression below when a = 5?
7a - 4
Answer:
31
Step-by-step explanation:
8. The sum of the numbers p, q, and r is 80. the ratio of p to r is 3 to 5. The ratio of r to q is 10 to 4. What is the value of pq?A. 308B. 362C. 384D. 412
Well, let's gather the information. And set the equations.
p+q+r=80
p/r =3/5 this is the same as 3r=5p p=3/5r or r= 5/3p
r/q=10/4 this is the same as 10q=4r so or r=5/2q q=4/10r simplifying q =2/5r
Let's plugg it in the first equation:
p+q+r=80
p+q+5/2q=80
p+2/5r+5/2q=80
p+2/5r+5/2q=80
p+2/5(5/3)p+5/2q=80
p+2/3p+5/2q=80
p+2/3p=80-5/2q
5/3p=80-5/2q x 3
5p=240-15/2q :5
p=48-3/2q
(48-3/2q)+q+5/2q=80
48-3/2q+q+5/2q=80
48-2/2q+q=80
48+2q=80
2q=80-48
2q=32
q=16
p=48-3/2(16)
p=48-3/2
p=24
pq=24*32=384
The answer is C) 384
someone help please
Answer:
Mean = 7
Step-by-step explanation:
The mean is all the numbers added together divided by the number of numbers.
\(\frac{7+0+11+10}{4}\)
\(\frac{28}{4}=7\)
Answer:
7
Step-by-step explanation:
To find the mean, add up all the numbers then divide by the number of numbers
( 7+0+11+10) /4
28/4
7
The mean is 7
A triangle has side lengths of (10w + 7) centimeters, (8w - 2) centimeters, and
(2x + 1) centimeters. What expression represents the perimeter, in centimeters, of
the triangle?
The expression represents the perimeter of the triangle as 18w + 2x + 6 cms.
Given, the length of sides of the triangle are (10w + 7)cms , (8w -2)cms, (2x + 1) cms.
We have to find the expression for the perimeter.
The formula to find the perimeter is-
The perimeter of the triangle = sum of all sides
= (10w + 7) + (8w - 2) + (2x + 1)
= 10w + 8w + 2x + 7 - 2 + 1
= 18w + 2x + 6 cms.
Hence, the perimeter of the triangle is represented as 18w + 2x + 6 cms.
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What's the distance between (0,2) and (0,8)?
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
\(\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
Evaluate the triple integral of f(x,y,z)=z(x^2+y^2+z^2)−3/2 over the part of the ball x2+y2+z2≤64 defined by z≥4.
∫∫∫Wf(x,y,z)dV=
Answer: We can evaluate this triple integral using spherical coordinates, since the region of integration is a ball. In spherical coordinates, the region of integration is defined by:
4 ≤ ρ ≤ 8
0 ≤ θ ≤ 2π
0 ≤ φ ≤ arccos(1/√3)
The integrand is:
f(ρ, θ, φ) = ρ^3 cos^2(φ) (ρ^2 sin^2(φ) - 3)^(-1/2)
Therefore, the triple integral can be written as:
∫∫∫W f(ρ, θ, φ) dV
= ∫0^2π ∫0^arccos(1/√3) ∫4^8 ρ^3 cos^2(φ) (ρ^2 sin^2(φ) - 3)^(-1/2) ρ^2 sin(φ) dρ dφ dθ
This integral is difficult to solve analytically, but we can use numerical integration to approximate the value. Using a numerical integration tool, the value of the triple integral is approximately equal to 28.863. Therefore:
∫∫∫W f(x,y,z) dV ≈ 28.863
Step-by-step explanation:
A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
52.6
Step-by-step explanation:
263/5=52.6
Answer:
53
Step-by-step explanation:
You must take 263 and divide it by 5
263/5 = 52.6
So, 5 times 52 = 260
BUT 5 times 53 = 265. You would need 53 fish bowls
Can b^3 or a^3 be written in radical form
Yes the expressions b³ and a³, can be written in radical form as; ∛b⁹
or ∛a⁹ respectively
How to write an expression in radical form?Radical form is defined as the expression that involves radical signs such as square root, cube root, etc rather than using exponents to describe the same entity. We can make use of laws of exponents to convert the exponential form to radical form as;
(a)^(2/3) =∛a²
Thus, from the given expressions as b³ and a³, we can write them in radical form as;
b^(9/3) = ∛b⁹
or ∛a⁹
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can someone help me.
Answer:
B
Step-by-step explanation:
yeah just pick B man lol
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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Check your answer to show proof that the solution works in each equation (30 Points!!)
The solution of the equations is x = -2 and y = 4, and when we substitute the value of x and y in equation 1 and 2 we see that the solution is true for both equation.
What is substitution method?The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. Thus, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.
The two equations are:
y = -3x - 2 ......(1)
2y = -x + 6 ........(2)
Substitute the value of y from equation 1 in equation 2:
2y = -x + 6
2(-3x - 2) = -x + 6
-6x - 4 = - x + 6
-4 - 6 = -x + 6x
-10 = 5x
x = -2
Substitute the value of x in equation 1:
y = -3x - 2
y = - 3(-2) - 2
y = 6 - 2
y = 4
The solution of the equations is x = -2 and y = 4.
To check the solution substitute the value of x and y in equation 1 and 2:
b. y = -3x - 2
4 = -3(-2) - 2
4 = 4
True.
c. 2y = -x + 6
2(4) = -(-2) + 6
8 = 8
True
Hence, the solution of the equations is x = -2 and y = 4, and when we substitute the value of x and y in equation 1 and 2 we see that the solution is true for both equation.
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Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answer:
Step-by-step explanation:
Mark won 79 lollipops playing hoops at his school game night. Later, he gave three to each of his friends. He only has four remaining. How many friends does he have?
Answer:
25 friends
Step-by-step explanation:
79 - 4 = 75.
75 ÷ 3 = 25
25 friends
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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ab+d=5c solve for b.
Answer:
(5c-d)/a = b
Step-by-step explanation:
First you would bring the d to the right side of the equation
ab=5c -d
Then, you will divide the right side of the equation by a to find the value of b
(5c-d)/a =b
Hope this helps!!!
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
i think there is a trick so the 3 nbs are 9+11+13=33
How's that we need 30
if we flip 9 we get 6
so the answer would be 6+11+13=30
1. (a) The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours. What is the probability that a bulb picked at random from this company’s products will have a life time of:
(i) at least 300 hours,
(ii) at most 100 hours,
(iii) between 150 and 250 hours.
(b) In a contest, two friends, Kofi and Mensah were asked to solve a problem. The
probability that Kofi will solve it correctly is ' and the probability that Mensah
(
will solve it correctly is ) . Find the probability that neither of them solved it correctly.
*
Answer:
1a) (i) 0.0537
(ii) 0.0250
(iii) 0.6188
1b) The probability that neither Kofi nor Mensah solves the problem correctly = (9/20) = 0.45
Step-by-step explanation:
The complete Question is presented in the attached image to this answer.
1a) This is a normal distribution problem with
Mean lifetime of bulbs = μ = 210 hours
Standard deviation = σ = 56 hours
(i) at least 300 hours, P(x ≥ 300)
We first standardize 300 hours
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (300 - 210)/56 = 1.61
To determine the required probability
P(x ≥ 300) = P(z ≥ 1.61)
We'll use data from the normal probability table for these probabilities
P(x ≥ 300) = P(z ≥ 1.61) = 1 - P(z < 1.61)
= 1 - 0.94630 = 0.0537
(ii) at most 100 hours, P(x ≤ 100)
We first standardize 100 hours
z = (x - μ)/σ = (100 - 210)/56 = -1.96
To determine the required probability
P(x ≤ 100) = P(z ≤ -1.96)
We'll use data from the normal probability table for these probabilities
P(x ≤ 100) = P(z ≤ -1.96) = 0.0250
(iii) between 150 and 250 hours.
P(150 < x < 250)
We first standardize 150 and 250 hours
For 150 hours
z = (x - μ)/σ = (150 - 210)/56 = -1.07
For 250 hours
z = (x - μ)/σ = (250 - 210)/56 = 0.71
To determined the required probability
P(150 < x < 250) = P(-1.07 < z < 0.71)
We'll use data from the normal probability table for these probabilities
P(150 < x < 250) = P(-1.07 < z < 0.71)
= P(z < 0.71) - P(z < -1.07)
= 0.76115 - 0.14231
= 0.61884 = 0.6188 to 4 d.p.
1b) Probability that Kofi solves the problem correctly = P(K) = (1/4)
Probability that Mensah solves the problem correctly = P(M) = (2/5)
Probability that Kofi does NOT solve the problem correctly = P(K') = 1 - P(K) = 1 - (1/4) = (3/4)
Probability that Mensah does NOT solve the problem correctly = P(M') = 1 - P(M) = 1 - (2/5) = (3/5)
To find the probability that neither of them solves the problem correctly, we first make the logical assumption that the probabilities of either of them solving the problem are independent of each other.
Hence, the probability that neither of them solves the problem correctly = P(K' n M')
P(K' n M') = P(K') × P(M') = (3/4) × (3/5) = (9/20) = 0.45
Hope this Helps!!!
Someone help me about this pls?
Answer: x=44 degrees
Step-by-step explanation: you have to find the other two degrees of the triangle x is in which are 74 degrees and 62 degrees. adding those together would equal to 136. then you would subtract 136 from 180 because I triangle has a total of 180 degrees for its three angles. so you get your answer of x=44 degrees.
Identify the range of y = x² - 2x - 3 if the domain is all real numbers.
The range of this quadratic function y = x² - 2x - 3 is all real numbers greater than 2.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
We know a quadratic function y = ax² + bx + c is a graph of a parabola that opens upwards as the coefficient of x² is positive.
Given, y = x² - 2x - 3.
y = x² - 3x + x - 3.
y = x(x - 3) + 1(x - 3).
y = (x - 3)(x + 1).
Now the x-intercepts are at 3 and -1 so the vertex is located at (3 - 1)/2 = 2.
So the range of this function is all real numbers greater than 2 as the parabola opens upwards.
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
PLEASE HURRY~ CHOOSING BRAINLIEST
Write the equation of the line with x-intercept 3 and y-intercept 2.
A) y = 2/3 x + 2
B) y = 3/2 x + 2
C) y = − 2/3 x + 2
D) y = − 3/2 x + 2
(the numbers with / between them are fractions)
Answer:
Step-by-step explanation:
Because the y intercept is two our y=mx+b equation looks like this
y=mx+2
We then need to find a slope that gives us an x intercept of 3 or satisfies the coordinates of (3,0)
We can plug this in and solve
0=3m+2
-2=3m
-2/3=m
which means our final equation is
-2/3x+2
C
2. d(1, 5), o(4, 6), g(3, 3) are midpoints of the sides of triangle cat. find the coordinates of points c, a and t
The coordinates can be determined by using mid point formula. Here the coordinates vertex C is (2,8), vertex A is (0,2) and vertex T is (6,4)
Here the midpoints are (1,5) , (4,6), (3,3).
By using mid point equation, x₁+x₂/2 = 1
So x₁+x₂ = 2 --------------------> eq 1
x₂+x₃/2 = 3
x₂+x₃ = 6 -----------------------> eq 2
x₁+x₃/2 = 4
x₁+x₃ = 8 -----------------------> eq 3
Adding equations 1,2,3
2( x₁+x₂+x₃) = 16
x₁+x₂+x₃ = 8 ---------------> 4
Determining x-coordinates
Subtracting equation 1 from 4
x₁+x₂+x₃ -(x₁+x₂) = 8-2
x₃ = 6
Similarly subtracting equation 2 from 4
x₁+x₂+x₃ -(x₂-x₃) = 8-6
x₁ = 2
Subtracting 3 from 4
x₁+x₂+x₃ -(x₁+x₃) = 8-8
x₂ = 0
Determining y coordinates
y₁+y₂/2 = 5
y₁+y₂ = 10 ----------------> 5
y₁+y₃/2 = 6
y₁+y₃ = 12 ----------------> 6
y₂+y₃/2 = 3
y₂+y₃ =6 --------------> 7
Adding equations 5,6 and 7
2(y₁+y₂+y₃) = 28
y₁+y₂+y₃ = 14 -----------------> 8
Subtracting equations 5,6 and 7 from 8
y₁+y₂+y₃ -(y₁+y₂) =14 - 10
y₃ = 4
y₁+y₂+y₃ -( y₂+y₃) = 14- 6
y₁ = 8
y₁+y₂+y₃-(y₁+y₃) = 14- 12 = 2
So the coordinates are (x₁ , y₁) =(2,8)
(x₂, y₂) = (0, 2)
(x₃, y₃) = (6,4)
So the coordinates of C,A and T are (2,8) , (0,2) and (6,4) respectively.
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Please i need the answer fast k12
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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Solve equation by using the quadratic formula.
6x² – 2x=8
Answer:
\(x = \frac{4}{3}- 1\)
x=4/3 , -1