The degree of the polynomial function f(x) = -2x + 2x3 is 3
Finding the degree of the polynomial function.From the question, we have the following parameters that can be used in our computation:
f(x) = -2x + 2x3
The degree of a polynomial function is the higtest power in the polynomial
In f(x) = -2x + 2x3, the highest power is 3
Hence, the degree is 3
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help me pleaseeeeeeee
brainliest for 1st answer
Answer:
A
Step-by-step explanation:
sqrt 5 ( 4pi - 2pi) = 2 pi sqrt 5 for the numerator
then 2 pi sqrt (5) / 3 sqrt (5) the sqrt (5) 's cancel out and you have
2pi / 3
A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The correct answer is,
C. 60(x - 3) = 45x.
This equation is based on the information that the 45 expensive wood costs $3.00 more than the 60 cheap wood. In other words, if the price of the 60 cheap wood is x, the price of the 45 expensive wood is x + 3.
Since, Algebra involves working with numbers, equations, and variables to solve real-world problems and understand abstract relationships.
Now, To solve this equation, we must use algebra and solve for x.
First, we multiply both sides of the equation by 4/5. This gives us:
48x + 36 = 45x
-36 = 3x
Finally, we divide left side of the equation by 3, giving us the final solution:
x = -12
Therefore, the price of the 60 cheap wood is $12, and the price of the 45 expensive wood is $15.
that is, 60 (x - 3) = 45x
This equation shows the correct relationship between the two types of wood that the contractor purchased.
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can someone help me on number 1 through 4.
The values are expressed as;
1. radius = 13cm
2. Diameter = 27.2cm
3. Diameter = 24m
4. Radius = 24. 5m
How to determine the valuesIt is important to note the formula for calculating the circumference and area of a circle.
The formula for calculating area of a circle is expressed as;
A = πr²
Such that the parameters are given as;
A is the area of the circler is the radius of the circleAlso, the formula for circumference is expressed as;
C = 2πr
To determine the formula for diameter is expressed as;
Diameter = 2Radius
1. Substitute the values
r = d/2
r = 26/2
r = 13cm
2. If r= 13.6m
d= 2(13.6)
d = 27.2m
3. If r = 12m
d = 2(12)
d = 24m
4. If d = 49m
Then, r = 49/2 = 24. 5m
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The exponential function
Answer:
All real numbers
Select the correct answer. Solve the equation by using the quadratic formula. x^2+2x=6
The Value of x in the equation x^2+2x=6 is 1.645 or -3.654.
Rearranging the Given equation and Putting all values on other side of Zero.
x^2+2x=6
x^2+2x-6=0 ____________(1)
It can be seen that we can not have the multiples that counts of 6 so that they have a subtraction value 2. therefore, Using the Quadratic Formula for the above equation,
x=(-b±√(b²-4ac))/(2a) ___________(2)
where
a=1
b=2
c=-6
putting the values of a,b,c in the equation (2)
x=(-2±√(4²-4*1*(-6)))/(2*1)
x=(-2±2√7)/2
x=(-1±√7)/2
Solving the Values of x in simplified form, we get x=1.645 and -3.654.
Therefore, The Value of x in the equation x^2+2x=6 is 1.645 or -3.654.
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Your class hopes to collect at least 325 cans of food for the annual food drive. there were 135 cans donated the first week and 89 more the second week.
A. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
B. How many cans are needed to meet or surpass the goal
a.) [tex]135 + 89 + \text{C} \geq 325[/tex]
[tex]224 + \text{C} \geq 325[/tex]
b.) [tex]224 + \text{C} \geq 325[/tex]
[tex]\text{C} \geq 325 - 224[/tex]
[tex]\text{C} \geq 101[/tex]
18. The following table shows the number of motor registration and the sales of "Gorkhali Motor Tyres" by a whole-sale dealer in Kathmandu for the term of 10 years. Years: 2 3 4 5 6 7 62 65 70 48 53 73 Motor registration in (000 nos.) No. of tyres sold in (000 nos.) 1 60 68 60 8 9 10 65 82 72 62 80 40 52 62 60 81 85 (a) Find the coefficient of correlation between the motor registration and number of tyres to sold. (b) Interpret your result. (c) Test the significance of the result. (d) Compute the two regression coefficients. (e) Estimate the number of tyres to be sold when the expected motor registration is 92,000?
The regression equation is:
y = 20.85 + 0.735 * x
How to solveYear Motor registration (000 nos.) No. of tyres sold (000 nos.)
2 62 65
3 65 70
4 48 53
5 53 73
6 60 68
7 68 60
8 60 8
9 9 10
10 65 82
11 72 62
12 62 80
13 40 52
(a) In order to ascertain the coefficient of correlation between the registration of the motor and the number of tires sold, we can apply the following formula:
r = Σ[(xi - x_mean)(yi - y_mean)] / √[Σ(xi - x_mean)^2 * Σ(yi - y_mean)^2].
To do this, we need to determine the mean values for the motor registration (x) and the number of tyres purchased (y).
[tex]x_m_e_a_n = (62 + 65 + 48 + 53 + 60 + 68 + 60 + 9 + 65 + 72 + 62 + 40) / 12 = 664 / 12 = 55.33\\y_m_e_a_n = (65 + 70 + 53 + 73 + 68 + 60 + 8 + 10 + 82 + 62 + 80 + 52) / 12 = 733 / 12 = 61.08[/tex]
Now, we can calculate the required sums for the correlation formula:
Σ(xi - x_mean) = -39
Σ(yi - y_mean) = -39
Σ(xi - x_mean)^2 =3543
Σ(yi - y_mean)^2 = 6649
Σ[(xi - x_mean)(yi - y_mean)] = 2604
Now, we can calculate the correlation coefficient:
r = 2604 / √(3543 * 6649) ≈ 0.556
(b) Interpret your result:
With a correlation coefficient, r, between -1 and 1 going up to 0.556, it shows up as a significant positive relationship.
So when the number of car registrations augments, the sales of tires will also go up.
(c) Test the significance of the result:
As the t-statistic is listed as 1.934, we can analyze it using the critical t-value from a t-distribution table which is around 2.228.
Consequently, since the t-statistic (1.934) is lower than the critical t-value (2.228), the correlation between them is not statistically significant at the 0.05 level.
(d) Compute the two regression coefficients:
The two regression coefficients can be calculated using the following formulas:
b1 = Σ[(xi - x_mean)(yi - y_mean)] / Σ(xi - x_mean)^2
b0 = y_mean - b1 * x_mean
Using the previously calculated values:
b1 = 2604 / 3543 ≈ 0.735
b0 = 61.08 - 0.735 * 55.33 ≈ 20.85
The regression equation is:
y = 20.85 + 0.735 * x
(e) Estimate the number of tyres to be sold when the expected motor registration is 92,000:
Using the regression equation, we can predict the number of tyres to be sold when the expected motor registration is 92,000 (92 in thousands):
y = 20.85 + 0.735 * 92 ≈ 87.81
We estimate that when the expected motor registration is 92,000, approximately 87,810 tyres will be sold.
It should be stated that the relationship was not considered to be statistically relevant so care is advised.
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find 5.79 x 3.3.Then, use an estimate to check for reasonableness.
A group of researchers wanted to know whether having a flexible start time for when workers began work impacted the number of minutes they spent commuting. To examine this, they had one group of workers leave home at 7am one morning and the next week let them choose the time they wanted to leave home to get to work. The minutes are given below. Conduct the steps of hypothesis testing on these data.
Data table: The number of minutes spent commuting for six subjects when they left a 7am vs leaving at a flexible time
Subject Leaving at 7am Leaving at a flexible time
1 24 20
2 18 17
3 30 30
4 24 25
5 20 12
6 15 5
The necessary information to carry out the hypothesis are given below.
How to carry out the hypothesisFor carrying out a hypothesis examination on the information, we need to do the following steps:
Step 1: Express the null and alternative hypotheses
Step 2: Pick the pertinent measure of value and significance level
Step 3: Compute the test statistic
Step 4: Estimate the p-value
Step 5: Draw a conclusion and interpret the results
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ANSWER ASAPPP I NEED IT!
Answer:a
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is a A
Suppose we have data about a three-stock financial market that satisfies the single-index model as below: (the standard deviation of the market-index portfolio is 18%)
Capitalization Beta Excess Return Std Dev
A $3,000 0.15 10% 40%
B $2,000 0.95 2% 30%
C $1,500 1.7 17% 50%
What is the mean excess return of the value-weighted index portfolio?
Express your answer in percent and round it to 2 decimal places. For example, if your answer is 0.25456, then please write down 25.46 (without the percent sign).
The mean excess return of the value-weighted index portfolio is 19.458%, and the mean return of the index portfolio, adjusted for the risk-free rate, is 21.458%.
To calculate the mean excess return of the value-weighted index portfolio, we need to first calculate the total market capitalization of the three stocks:
Total Market Cap = $3,000 + $2,000 + $1,500 = $6,500
Next, we can calculate the weight of each stock in the index portfolio as follows:
Weight of Stock A = $3,000 / $6,500 = 0.4615
Weight of Stock B = $2,000 / $6,500 = 0.3077
Weight of Stock C = $1,500 / $6,500 = 0.2308
The capitalization-weighted beta of the portfolio can then be calculated as the sum of the product of each stock's weight and its beta:
Beta of Index Portfolio = (0.4615 x 0.15) + (0.3077 x 0.95) + (0.2308 x 1.7) = 1.081
The mean excess return of the index portfolio can be calculated using the single-index model as:
Mean Excess Return = Beta of Index Portfolio x Standard Deviation of Market-Index Portfolio
= 1.081 x 18%
= 19.458%
Finally, we need to adjust for the risk-free rate to obtain the actual mean return of the index portfolio. If the risk-free rate is 2%, then the mean return of the index portfolio would be:
Mean Return = Mean Excess Return + Risk-Free Rate
= 19.458% + 2%
= 21.458%
Therefore, the mean excess return of the value-weighted index portfolio is 19.458%, and the mean return of the index portfolio, adjusted for the risk-free rate, is 21.458%.
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Pls help
The shape below contains a triangle and a semi-
circle.
Round your responses to two decimal places.
perimeter of the shape
167.37 unitsArea of the shape
40.24 square unitsHow to find the perimeter of the shapeThe shape is a composed of two simpler parts which consists of, namely:
The right triangle and the semi circleTherefore, the perimeter of the shape includes perimeter of semicircle and the perimeter triangle
To complete the perimeter of the triangle we add two sides of the triangle. the opposite and the adjacent of the right triangle is given so we solve for the hypotenuse.
The hypotenuse of the triangle = [tex]\sqrt{ 7^2 + 6^2}[/tex] = 9.22 units
perimeter of the shape
= perimeter of triangle side + perimeter of semicircle side
= (9.22 + 6) + (3.142 * 3.5)
= 167.37 units
Area of the shape
= area of triangle + area of semicircle
= 1/2 x 7 x 6 + 1/2 x 3.142 x 3.5^2
= 21 + 19.24
= 40.24 square units
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements that are always true are:
i. m∠5 + m∠6 = 180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
What is a triangle?A triangle is a shape which is bounded by just three sides, thus it has three internal angles whose measures add up to 180°. The internal angle of a triangle is the measure of the angle formed within the two lines forming the edge. While the exterior angles are angles that exist outside the boundary of the triangle when its sides are extended.
From the given question and information, the statements that are always true regarding the diagram are:
i. m∠5 + m∠6 =180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
The required diagram is attached to this answer as a guide
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A pyramid has a square base with an area of 144 ft. Mark each statement as true or false and correct any false statements.
T/F? - The length of one side of the pyramids base can be found using the equation s^2=144.
T/F? - The Length of one side of the pyramids base is 72 feet.
A = s^2, where A is the area and s is the length of one side of the square gives the area of a square base. The correct option is true
If s^2 = 144, then s = √144 = 12 feet. The correct option is false
What is pyramid ?A pyramid is a polyhedron that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex.
Therefore, s^2 = 144 is a valid equation to find the length of one side of the base. The correct option is true
Therefore, one side of the pyramid's base is 12 feet, not 72 feet.
The correct option is false
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What is the 3D shape that would form if the following
Answer:
These are all the 3D shapes ;cone, cylinders, cuboid,cubes, sphere, rectangular prism, pyramid
5x^2-8x+12=3x+10
solve quadratic by factoring
On solving the "equation" written as "5x² - 8x + 12 = 3x + 10" by using "factoring-method" , the "solutions" are x = 1/5 and x = 2.
To solve "5x² - 8x + 12 = 3x + 10" by using the "factoring-method", it should first be rearranged in "standard-form", where one side of the equation is = 0,
First, we combine the constant terms on the right side of the quadratic:
⇒ 5x² - 8x + 2 = 3x,
⇒ 5x² - 11x + 2 = 0, Now, we factor the quadratic expression on the left side of the equation as :
⇒ 5x² - 10x -x + 2 = 0,
⇒ 5x(x - 2) -1(x - 2) = 0,
⇒ (5x - 1)×(x - 2) = 0
By applying the zero product property, we know that either "5x - 1 = 0" or "x - 2 = 0";
⇒ 5x - 1 = 0 , We get x = 1/5,
⇒ x - 2 = 0, We get x = 2;
Therefore, the solution are x = 2, and x = 1/5.
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The given question is incomplete, the complete question is
Solve the quadratic-equation "5x² - 8x + 12 = 3x + 10" by factoring.
if x = 6 units and h = 5 units whats the area of the triangle
Answer: 15 square units
Step-by-step explanation:
Area of a triangle is 1/2bh
x = b = 6
H=5
1/2(6)(5)
1/2(30)
Area = 15 square units
CAN SOMEONE HELP WITH THIS PROBLEM?
The value of the infinite series expression [tex]\sum^{124}_{i = 1}(29a_i - 13b_i) \\[/tex] is -30.
Given information:
[tex]\sum^{124}_{i = 1}a_i = -10[/tex] and [tex]\sum^{124}_{i = 1} b_i = -20[/tex].
The required series form can be rearranged as,
[tex]\sum^{124}_{i = 1}(29a_i - 13b_i) &= 29\sum^{124}_{i = 1}a_i - 13\sum^{124}_{i = 1}b_i[/tex]
Substitute the provided values of [tex]\sum^{124}_{i = 1}a_i = -10[/tex] and [tex]\sum^{124}_{i = 1} b_i = -20[/tex].
We get,
[tex]\sum^{124}_{i = 1}(29a_i - 13b_i) \\[/tex] = 29(-10) - 13(-20)
[tex]\sum^{124}_{i = 1}(29a_i - 13b_i) \\[/tex] = -290+ 260
[tex]\sum^{124}_{i = 1}(29a_i - 13b_i) \\[/tex] = -30.
As a result, the required value is -30.
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The cone below has a volume of 264 m³ and a radius of 6 m. Calculate the size of the angle between the slant height and the base to 1 dp.
The angle between the slant height and the base of the cone is 30.2°.
How to solve for angle of a coneRecall the formula of the volume of a cone:
V = (1/3)πr²h
where
V = volume,
r = radius,
h = height.
To get the h, we use the volume formula and substitute:
264 = (1/3)π(6²)h
Make h the subject of the formula and simplify:
h = (3/π)(264/36) = 8.8
Therefore, h = 8.8 m.
Now, we find the slant height using the Pythagorean theorem:
s² = r² + h²
Plugging in the values, we get:
s² = 6² + 8.8² = 102.64
s = √(6² + 8.8²)
s = 10.13
To find the angle between the slant height and the base, we use trigonometry:
tan θ = r / s
r = radius of the base
s = slant height
Plugging in the values, we get:
tan θ = 6 / 10.13
tan θ = 0.5925
Find the arctan of θ
θ = tan⁻¹(0.5925)
θ = 30.2°
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A clothing company has determined that if the price of a T-shirt is K40, then 150 will be demanded by T-shirt wearers. When the price is K45, then 100 T-shirts are demanded by T- shirts wearers. (a) Find the price-demand equation, assuming that it is linear. (b) Find the revenue function. (c) Find the number of items sold that will give the maximum revenue. What is the maximum revenue? (d) What is the price of each item when maximum revenue is achieved?
The solution is : The price per unit is $48, when 30 units are demanded.
Here, we have,
Since we have given that
At price of $12 per unit, the number of units demanded = 40 units
At price of $18 per unit, the number of units demanded = 25 units.
So, the coordinates would be
(40,12) and (25,18)
As we know that x- axis denoted the quantity demanded.
y-axis denoted the price per unit.
So, the slope would be
m = -2/5
So, the equation would be
5y + 2x = 140
So, if 30 units are demanded, the price per unit would be
y = $48
Hence, the price per unit is $48, when 30 units are demanded.
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complete question:
Suppose consumers will demand 40 units of a product when the price is $12 per unit and 25 units when the price is $18 each. Find the demand equation assuming that it is linear. Find the price per unit when 30 units are demanded.
whats the calculate the expression of l/2 l=50?
The value of the expression l/2 when l=50 is 25.
Given information:
The expression l/2 means "half of l".
The expression is l/2 where l is variable.
In this case, the value of l is given as 50. So to calculate the expression, you just need to substitute 50 for l in the expression and simplify:
If l = 50, then
l/2 = 50/2 = 25
Therefore, the value of the expression l/2 when l=50 is 25.
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Find the area of the shaded region
Area= 69π or 216.77 square units.
Step-by-step explanation:1. Find the area of the white circle.Remember that the formula for the area of a circle is the following:
[tex]A=\pi r^{2}[/tex]; where "r" is the radius of the circle.
Hence, the area of the white circle is:
[tex]A_{WC} =\pi (10)^{2} =100\pi[/tex]
2. Find the area of the red circle.Here you can use the same formula, just need to change the value of the radius:
[tex]A_{RC} =\pi (13)^{2} =169\pi[/tex]
3. Find the difference between the 2 areas.[tex]A_{RC} -A_{WC} =169\pi -100\pi =69\pi[/tex]
4. Express the final result.The area of the shaded region is 69π or 216.77 square units, approximately.
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Find the area of square ABCD shown below. Round to the nearest tenth if necessary.
O
D
y
O
A
B
square units
The area of the square given in the diagram is: 25 square units.
What is the area of the square?Pythagoras Theorem is defined as the way in which we find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
Using Pythagoras theorem, we can find the length of a side of the square:
AB = √(3² + 4²)
AB = √(9 + 16)
AB = √25
AB = 5
Area of a square is given by the formula:
A = side * side
Thus:
A = 5 * 5
A = 25
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algebra 2: pls answer asap write the equation that best represents the graph
Step-by-step explanation:
Notice how we have 3 relative extrema , this means our equation has a degree of 4.
Notice how at root 1, our graph bounces off the curve.
This means we have a multiplicity of 2 there so one of our roots are
[tex](x - 1) {}^{2} [/tex]
For roots -3, and 4, our graph just passes through the x axis so those are roots with a multiplicity of 1.
[tex](x + 3)[/tex]
[tex](x - 4)[/tex]
So our equation is
[tex]y = (x - 1) {}^{2} (x + 3 )(x - 4)[/tex]
The graph passes through(-1,-2) so let see if we need any constant
[tex] - 2 = a( - 2) {}^{2} (2)( - 5)[/tex]
[tex] - 2 = - 40a[/tex]
[tex] \frac{1}{20} = a[/tex]
So our equation now is
[tex] \frac{1}{20} (x - 1) {}^{2} (x + 3)(x - 4)[/tex]
The equation that best represents the graph is p(x) = (x + 3)(x - 4)(x - 1)²
The equation that best represents the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following properties
Zeros with multiplicities of 1 at x = -3 and x = 4Zeros with multiplicities of 2 at x = 1So, the base equation of the function is
p(x) = a(x + 3)(x - 4)(x - 1)²
Set a = 1
So, we have
p(x) = (x + 3)(x - 4)(x - 1)²
Hence the function is p(x) = (x + 3)(x - 4)(x - 1)²
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PLEASE HELP
Parts a, b, c, d, and e
The values of the composite functions are f(g(2)) = 5.5, h(f⁻¹(5)) = 1, x = 5 for f(h(x)) = 7, R(4) = 4 and k(x) = 2
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x), g(x) and h(x)
Solving the composite functions, we have
f(g(2)) = f(3) i.e. g(2) = 3
This gives
f(g(2)) = 5.5
Next, we have
h(f⁻¹(5))
Here, we have
f⁻¹(5) = 4
So, we have
h(f⁻¹(5)) = h(4)
Evaluate
h(f⁻¹(5)) = 1
Next, we have
f(h(x)) = 7
From the graph, we have
f(0) = 7
This means that
h(x) = 0
From the table, we have
h(5) = 0
This means that
x = 5 for f(h(x)) = 7
Evaluating R(x) at x = 4. we have
R(x) = 2f(x) - 3g(x) + h(x)
This means that
R(4) = 2f(4) - 3g(4) + h(4)
So, we have
R(4) = 2 * 9 - 3 * 5 + 1
R(4) = 4
Evaluating k(x) at x = 5. we have
k(x) = h⁻¹(g(f⁻¹(x)))
This means that
k(x) = h⁻¹(g(f⁻¹(5)))
From the graph, f⁻¹(5) = 4
So, we have
k(x) = h⁻¹(g(4))
Next, we have
g(4) = 5
So, we have
k(x) = h⁻¹(5)
From the table, we have
h⁻¹(5) = 2
This means that
k(x) = 2
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HELP ASAP I NEED DONE RESLLY FAST AND BRSINKIEST
An image of a right rectangular prism is shown.
A rectangular prism with dimensions of 4.5 centimeters by 6 centimeters by 4 centimeters.
What is the surface area of the prism?
138 cm2
169 cm2
31 cm2
69 cm2
Answer:
2((4.5)(6) + (4.5)(4) + (6)(4))
= 2(27 + 18 + 24) = 2(69) = 138 square cm
Determining Whether an Integer Satisfies an Inequality
Apr 29, 2:07:45 PM
Which of the following values are solutions to the inequality -10 + 3x ≥-4?
None
O II only
I and II
O II and III
I. 8
II. 2
OI only
O III only
O I and III
O I, II and III
III. 6
Submit Answer
All three values (I, II, and III) are solutions to the inequality, so the correct answer is "I, II and III."
How to solve
To solve the inequality -10 + 3x ≥ -4, we can follow these steps:
Add 10 to both sides of the inequality:
3x ≥ 6
Divide both sides by 3:
x ≥ 2
Now, let's check which of the given values satisfies the inequality:
I. 8:
x ≥ 2, and 8 ≥ 2, so 8 is a solution.
II. 2:
x ≥ 2, and 2 ≥ 2, so 2 is also a solution.
III. 6:
x ≥ 2, and 6 ≥ 2, so 6 is a solution as well.
All three quantities (I, II, and III) fulfill the requirements of the inequality; hence, the right you have to select is "I, II and III."
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8. A graph represents the proportional relationship between the number of pages printed, y, and the time in minutes, x. If there is a point on the graph at (4, 720), how many pages can be printed in half a minute?
The number of pages that can be printed in half a minute is 90 pages
How many pages can be printed in half a minute?From the question, we have the following parameters that can be used in our computation:
The graph represents a proportional relationship
Where
x = minutes
y = pages
When the time is half a minute, we have
x = 0.5
So, we have the following ordered pair
(0.5, y)
From the question. we have
(4, 720)
So, we have
(0.5, y) = (4, 720)
Express as an equation
So, we have
y/0.5 = 720/4
This gives
y = 0.5 * 720/4
Evaluate
y = 90
Hence, the number of pages is 90
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HELP ASAP ASAP PLS PLS I NEED DONE NOW AND BRAINLIEST
The box plot shows the number of jumping jacks completed in a workout class by the class members.
A box plot uses a number line from 14 to 54, with tick marks every one unit. The box extends from 27 to 45 on the number line. A line in the box is at 37. The lines outside the box end at 16 and 52. The graph is Jumping Jacks Completed, and the line is labeled Number of Jumping Jacks.
Which of the following lists the range and IQR for this data?
The range is 18, and the IQR is 36.
The range is 36, and the IQR is 37.
The range is 36, and the IQR is 18.
The range is 18, and the IQR is 37.
The range is the difference between the maximum and minimum values in the data set. From the box plot, we can see that the maximum value is 52 and the minimum value is 16, so the range is:
Range = Maximum value - Minimum value
Range = 52 - 16
Range = 36
The IQR (interquartile range) is the difference between the first and third quartiles of the data set, which is represented by the length of the box in the box plot. From the box plot, we can see that the length of the box is:
Box length = Upper quartile - Lower quartile
Box length = 45 - 27
Box length = 18
Therefore, the range is 36, and the IQR is 18.
So the correct answer is:
The range is 36, and the IQR is 18.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The correct statements regarding the scatter plot are given as follows:
The line of best fit gives the best approximation between the SAT score and the GPA.The line of best fit can be used to predict the GPA based on the SAT score.A reasonable prediction of GPA for a SAT score of 2100 is a GPA of 3.5.What is the scatter plot?The scatter plot, as shown by the image given in the problem is a series of points of the data-set in the following format:
(SAT score, GPA).
There is a positive association between the data, as the line of best fit, which gives the best approximation between the SAT score and the GPA, and can be used to predict the GPA based on the SAT score, is increasing.
For a SAT score of 1700, an expected GPA is of about 3.1, considering the intersection of y = 3.1 with the line of fit when x = 1700.
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