Answer:
Company A is 1.99 times B.
Step-by-step explanation:
Company A charges:
[tex]A=70.50+0.50=\$71/mile[/tex]
Company B charges:
[tex]B=35.50+0.09=\$35.59/mile[/tex]
We just need to divide A by B:
[tex]x=A/B=1.99[/tex]
Therefore, company A is 1.99 times B.
I hope it helps you!
Find the domain and the range of the function. (Enter your answers using interval notation.)
h(x) = −√x+6
The domain and the range of this function in interval notation include the following;
Domain = [-6, ∞].
Range = [-∞, 0].
How to identify the domain and range of a function?In Mathematics, the horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Furthermore, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:
Domain = -6 < x < ∞ or [-6, ∞].
Range = -∞ < y < 0 or [-∞, 0].
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There are 140 students in the seventh grade, and 5% are in the Environmental Club.
How many students are in the Environmental Club?
Answer:
7 students.
Step-by-step explanation:
A trick for this is to find 10% of the students in the Environmental Club and then divide by 2.
10% of 140 is simple; just remove the 0 and you got 14.
Next, divide 14/2 to get 5%
14/2 = 7
7 students are apart of the Environmental Club
Use what you know about scientific notation to write the number - 8,000 with a power of 10.
- 8,000
- 8,000 = 0
Therefore , the solution to the given problem of expression comes out to be -8 * 10³.
How do you determine an expression?A number must be substituted for each variable and arithmetic operations must be carried out in order to verify an algebraic expression. The response variable is equivalent to 6 in the illustration above because 6 + 6 equals 12. The variables can be replaced with their values if we know what they are, and the expression can then be evaluated.
Here,
Given : - 8,000
To write -8000 with a power of 10
Thus,
-8000 written into
=> -8 * 10³
So, we get -8 * 10³ as the scientific notation for the given expression
Therefore , the solution to the given problem of expression comes out to be -8 * 10³.
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Help would be appreciated
The value of [tex]3\frac{3}{5}[/tex] ×[tex](-8\frac{1}{3})[/tex] is after simplification is C)-30
What is mixed fraction?
A mixed number combines an integer (whole number) with a fraction. It is also sometimes referred to as a mixed fraction (part of a whole number). When a number contains both an integer (whole number) and a correct fraction, it is known as a mixed number or mixed fraction (a fraction whose numerator is less than its denominator).
Here the given expression is ,
=> [tex]3\frac{3}{5}[/tex] ×[tex](-8\frac{1}{3})[/tex]
Now we need to convert them into improper fraction then,
=> [tex]\frac{15+3}{5}[/tex] × [tex]\frac{-(24+1)}{3}[/tex]
=> [tex]\frac{18}{5}[/tex] × [tex]\frac{-25}{3}[/tex]
=> 6 × -5 = -30
Hence the correct option is C)-30.
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Calculate S3, S, and Ss and then find the sum for the telescoping series 3C0 n + 1 n+2 where Sk is the partial sum using the first k values of n. S3 = 1/6 S4 = __
S5 = __
S = __
The solutions are -
S3 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6)
S4 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7)
S5 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7) + (1/7) - (1/8)
The sum of the series is 1/3.
To find S3, we need to find the sum of the first 3 terms of the series:
S3 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6)
To find S4, we need to find the sum of the first 4 terms of the series:
S4 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7)
To find S5, we need to find the sum of the first 5 terms of the series:
S5 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7) + (1/7) - (1/8)
To find the sum of the telescoping series, we can use the property of the telescoping series where the terms will cancel out. In this case, we can see that the first term of each group of two terms cancels out with the second term of the next group of two terms.
S = (1/3) - (1/8)
The series starts at n=2 and ends at infinity, so the sum of the series is the difference between 1/3 and the limit of 1/n as n approaches infinity, which is zero.
S= (1/3) -0 = 1/3
So the sum of the series is 1/3.
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The complete question is -
Calculate S3, S4, and S5 and then find the sum for the telescoping series: S=∑n=2∞(1/n+1)−(1/n+2). where Sk is the partial sum using the first k values of n.
vector <1,2,x> has magnitude of 3. find the value of x if x is a negative number
Answer:
x = - 2
Step-by-step explanation:
the magnitude of a vector < a, b, c > is
[tex]\sqrt{a^2+b^2+c^2}[/tex]
given vector < 1, 2, x > has magnitude of 3 , then
[tex]\sqrt{1^2+2^2+x^2}[/tex] = 3
[tex]\sqrt{1+4+x^2}[/tex] = 3
[tex]\sqrt{5+x^2}[/tex] = 3 ( square both sides to clear the radical )
5 + x² = 3² = 9 ( subtract 5 from both sides )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
since x is negative then x = - 2
the dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. the dynamic equation shows the mathematical conversion to z-scores in real-time. drag the vertical line to see the corresponding z-score for each possible class size.
The Z-Score associated on moving one standard devations to the right is equals to the 1.0, i.e., Z = 1.00. So, correct answer is option (c).
We have, The number of classes, n = 5
Mean of size of five classes,µ = 44
Standard deviations for five classes,σ = 8
The dynamic equation for conversion to z-scores in real-time is, Z = (Xᵢ - µ )/standard deviations (s)
Z-Score : A Z-Score is a metric that represents that how closely a value relates to mean of set of values. If Z score value is zero that means data point's scores are same as mean score.
Formula for Z- Score is Z = (X - µ)/σ
where, X ---> data values
µ --> mean of values
σ --> standard deviation
For 32, Z = (X - µ)/σ = (32 - 44)/8 = -1.50
For 42 , Z= (X- µ)/σ = (42 - 44)/8 = -0.25
For 48, Z = ( 48 - 44)/8 = 0.5
For 52, Z = ( 52 - 44)/8 = 1.0
For 54, Z = (54 - 44)/8 = 1.25
When we move One standard deviations to right , that means X = 44 + 8 = 52 , So the Z-Score for 52 is Z = 1.0. Hence, required value is 1.0.
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Complete question:
The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding z-score for each possible class size,
Z =( Xᵢ - X)/s Created by Gary M. McClelland, Professor Emeritus | University of Colorado Boulder Cengage Learning. All Rights Reserved. 1. Make sure the green line is on the mean value of x= 44. Next, move the green line one standard deviation to the right. What Z-score is associated with this value?
a. ) Z-0.75
b) Z= 0.80
c) Z = 1.00
d) Z = 0.5
Did I get this right? (pre calc)
The center of the ellipse is (2, -8), The endpoints of the major axis are 10 units from the center, The endpoints of the minor axis are 9 units from the center, To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
What is ellipse?An ellipse in mathematics is a plane curve that has two focal points and is such that the sum of the two distances from any point on the curve to the focal points is a constant. It generalizes a circle, a special kind of ellipse in which the two focal points coincide.
Glven:
The equation of ellipse is,
[tex]\frac{(x-2)^2}{81}+\frac{(x+8)^2}{100}=1[/tex]
SInce, the general form of ellipse is,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
where,
(h, k) is the center of ellipse
a is the minor axis
b is the major axis.
Here
(h, k) = (2, -8) is the center of the ellipse.
9 is the minor axis and 10 is the major axis of the ellipse.
Also the graph of ellipse connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
Hence, the center of the ellipse is (2, -8).
The endpoints of the major axis are 10 units from the center.
The endpoints of the minor axis are 9 units from the center.
To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
The graph of the ellipse visit.
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Write an equivalent expression by distributing the "sign outside the parentheses:
4w (5.8x - 3.3)
Answer:
23.2wx - 13.2w
Step-by-step explanation:
4w (5.8x - 3.3) =
4w * 5.8x - 4w * 3.3 = distribute 4w to 5.8x and 3.3
4 * 5.8 *w * x - 4w * 3.3 =
23.2 * w * x - 13.2w ==> simplify
23.2wx - 13.2w
An IV is infusing at 77 mcgtt/min. What would this rate of flow equal in mL/h?
A. 77 mL/h
B. 12 mL/h
C. 770 mL/h
D. 7.7 mL/h
An IV is infusing at 77mcgtt/min. rate of flow equal in mL/h is 77 mL/h
1gtt/min equals 3.00 mL/h
If you simply need to figure out the infusion rate, or the mL per hour to infuse, take the total volume in mL, divided by the total time in hours that the medication is ordered to be infused over, to equal the rate in mL per hour.
1 drop per minute to milliliters per hour = 3.00 mL/h
2 drops per minute to milliliters per hour = 6.00 mL/h
Change hours to minutes. Change milliliters to drops.
1 ml : 60mcgtt
1hr :60min
77mcgtt/min =77*60/60 ml/h
=77ml/h
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Nick has $20. He wants to buy as
many toy cars as he can. Each car
costs $3. How many toy cars can
Nick buy?
Answer:
6
Step-by-step explanation:
20 divided by 3 without any remainders, fractions, or decimals is 6.
Hope I helped!
Which if the following is the correct graph of the solution to the inequality-13>-5x+2>-28
The correct graph of the solution to the compound inequality as given in the task content is;
What is the graph of the solution to the given compound inequality?As evident from the task content, it follows that the correct graph of the solution to the compound inequality is to be determined.
Since the given compound inequality is; -13 > -5x + 2 > -28.
To solve the inequality, subtract 2 from all sections of the compound inequality;
-15 > -5x > -30
Divide through the inequality by -5 while flipping the inequality signs so that we have;
3 < x < 6
Therefore, the correct graph for the compound inequality in discuss is as represented in the attached image.
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Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1
A table which has a constant of proportionality between y and x of 0.9 include the following: B. table B.
How to determine with a constant of proportionality of 0.9?In order to have a proportional relationship and equivalent ratios that is constant, the variables x and y must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) based on the given parameters in each table:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 17/18
Constant of proportionality (k) = 0.94 (False).
For the variables x and y in table B, the constant of proportionality (k) is given by;
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 3.6/4 = 5.4/6 = 10.8/12
Constant of proportionality (k) = 0.9 (True).
For the variables x and y in table C, the constant of proportionality (k) is given by;
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 3.3/3
Constant of proportionality (k) = 1.1 (False).
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I NEED HELP PLEASE I WILL GIVE BRAINLYIES
Answer: b
Step-by-step explanation:
A data set consisting of newborn baby weights is normally distributed (bell-shaped) with a mean of 9.5 pounds
and standard deviation of 1.5 pounds.
Use the Empirical Rule to address the following questions.
Hint: sketch the distribution to help visualize the problem.
Approximately 99.7% of the newborn weights lie between
What approximate percentage of the newborn weights lie between 8 and 11 pounds?
and
What approximate percentage of the newborn weights lie between 6.5 and 12.5 pounds?
These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:
68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.More can be learned about the Empirical Rule at brainly.com/question/10093236
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Write 3 numbers that are divisible by
both 2 and 5.
Numbers divisible by 2 and 5:
[tex]10[/tex][tex]20[/tex][tex]30[/tex]Check:
[tex]10\div2=5\\10\div5=2[/tex]
[tex]20\div2=10\\20\div5=4[/tex]
[tex]30\div2=15\\30\div5=6[/tex]
what is the quotient of (x^4-6x^3-19x^2+24x) divided by (x+3)?
The quotient of the division is x^3 - 3x^2 - 10x + 64
How to determine the quotientFrom the question, we have the following parameters that can be used in our computation:
quotient of (x^4-6x^3-19x^2+24x) divided by (x+3)
Using the long division method of quotient, we have
x + 3 | x^4 -6x^3 -19x^2 +24x
The division steps are as follows
x^3 - 3x^2 - 10x + 64
x + 3 | x^4 -6x^3 -19x^2 +24x
x^4 + 3x^3
------------------------------------------------
-3x^3 -19x^2 +24x
-3x^3 - 9x^2
------------------------------------------------
-10x^2 + 24x
-10x^2 - 30x
------------------------------------------------
64x
64x + 192
----------------------------------------------------
-192
Hence, the quotient is x^3 - 3x^2 - 10x + 64
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find the exact value of cos -pi/3
The exact value of cos (-pi/3) can be found using the unit circle or the angle addition formula.
Using the unit circle, we know that the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is cos(-pi/3) and y-coordinate is sin(-pi/3).
On the unit circle, the angle of -pi/3 is the same as the angle of 2pi/3 (since the unit circle has a period of 2pi), therefore the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is -1/2.
Alternatively, using the angle addition formula:
cos (-pi/3) = cos(pi - pi/3) = cos(pi) * cos (pi/3) - sin(pi) * sin(pi/3) = -1/2
So, the exact value of cos (-pi/3) is -1/2.
If 3x+y+4-(y + 6) = 14 + x, what is the value of x ?
Answer:
x=8
Step-by-step explanation:
Answer:
3x+y+4-(y + 6) = 14 + x
x=8
solve for the matrix x if ax(d+bx)−1=c. assume that all matrices are n×n and invertible as needed, you can enter the inverse of a matrix A as A^(-1)
The answer is : [tex]X= (A^{-1} C -B^{-1})D[/tex]
Matrix is an arrangement of numbers into rows and columns. A matrix is a rectangular arrangement of numbers into rows and columns.Matrix is a set of numbers arranged in rows and columns so as to create a rectangular array. The numbers are said entries of the matrix. Matrices have huge applications in engineering, physics, economics, and statistics as well as in various branches of mathematics. Matrices have important applications in computer graphics, where they have been used to represent rotations and other transformations of images.According to the question,
AX [tex](D^{-1} + X^{-1} B^{-1} )[/tex] =C
⇒X[tex](D^{-1} + X^{-1} B^{-1} )[/tex]= [tex]A^{-1} C[/tex]
⇒[tex]XD^{-1} + XX^{-1} B^{-1}[/tex] = [tex]A^{-1} C[/tex]
⇒ [tex]XD^{-1} +B^{-1}[/tex] = [tex]A^{-1} C[/tex]
⇒ [tex]XD^{-1} = A^{-1} C -B^{-1}[/tex]
⇒ [tex]X= (A^{-1} C -B^{-1})D[/tex]
So, the answer is : [tex]X= (A^{-1} C -B^{-1})D[/tex]
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PLEASE ANSWER
50 degrees
120 degrees
60 degrees
40 degrees
The angle B in triangle ABC is 60° i.e. C.
What is a triangle?
In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.
Based on the sides of a triangle, a triangle is classified into 3 types, namely:
Scalene Triangle – All the sides are of different measures.
Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.
Equilateral Triangle – All the 3 sides of a triangle are of the same measure.
Based on the angles of a triangle, a triangle is classified into 3 types, namely:
Acute Angle Triangle – All the angles of a triangle is less than 90°.
Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.
Right Angle Triangle – One of the angles of a triangle is equal to 90°.
Now
∠NAB+∠CAB=180° (Supplementary angles)
∠CAB=180-∠NAB
=180-100
∠CAB=80°
As
∠A+∠B+∠C=180° (sum of all angles of a triangle =180°)
∠B=180-80-40
∠B=60°
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Can someone please tell me the answer will mark brainiest
Radius, diameter, center, and circumference--all are parts of a circle .Every point in the plane that is a certain distance away from a certain point forms a circle (center).
what is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
Area of circle =
[tex]\pi r^2\\r = 10\\A = 3.14 X 10 X 10\\A = 314 unit sq\\[/tex]
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On solving the provided question, we can say that area of circle = [tex]\pi r^2 =[/tex] 3.14*.3.4*3.4 = 1.28112 cm sq.
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
here,
in the circle
the given radius is as = 3.4
area of circle = [tex]\pi r^2 =[/tex] 3.14*.3.4*3.4 = 1.28112 cm sq.
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Let G(x) = -2(3x+4)(x-1)(x-3)^2 be a polynomial function. make a rough sketch of polynomial, label, and name all the x-intercepts and y-intercepts
The intercepts of the graph are
x-intercepts are -4/3, 1, 3y-intercept is 72How to determine the intercepts of the graphThe polynomial is given as
G(x) = -2(3x+4)(x-1)(x-3)^2
Rewrite as
G(x) = -2(3x+4)(x-1)(x-3)²
The x-intercepts of a polynomial are the points at which the polynomial crosses the x-axis.
To find the x-intercepts, we need to set y = 0 and solve for x.
-2(3x+4)(x-1)(x-3)² = 0
Divide through by -1
(3x+4)(x-1)(x-3)² = 0
Now we can solve for each factor equal to zero:
3x+4 = 0, x = -1.33
x-1 = 0, x = 1
x-3 = 0, x = 3
So the x-intercepts are -4/3, 1, 3
The y-intercept of a polynomial is the point at which the polynomial crosses the y-axis.
For this polynomial, we have
G(0) = -2(30+4)(0-1)(0-3)² = -2(4)(-1)(9) = 72
So the y-intercept is (0, 72)
See attachment for the graph
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please help me!!! What is the area of the trapezoid?
The area of trapezoid is 16 m².
Given in the figure,
Height of trapezoid = 4 m
Length of 1st parallel base = 2 m
Length of 2nd parallel base = 6 m
We know that,
Area of trapezoid = 1/2 * sum of bases * height
∴
Area of trapezoid = 1/2 * (2+6) * 4
= 8 * 2 = 16 m²
Therefore, the area of trapezoid is 16 m².
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This table shows the amount of commission
earned for a broker receiving 3% commission
on sales. How much would this agent earn in
commission for $680,000 in sales?
Commission Earned
Sales (in thousands of $)
Commission (in thousands of $)
140
4.2
280
8.4
420
12.6
560 680
16.8
?
Answer:
$20,400
Step-by-step explanation:
You just have to multiply 680,000 by 0.03 (since 3% is equivalent to 0.03)
HELPPPP
If a fair coin is tossed 9 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 1 heads?
When a fair coin is tossed nine times, there is a 0.090 (rounded off to the nearest thousandth) chance that at most one will land on heads.
what is probability ?The probability that an event will occur or a claim will be true is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number between 0 and 1, where about 0 represents how likely the event is to occur and 1 represents certainty. A probability is a numerical illustration of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging from 0% to 100% or from 0 to 1. the ratio of the total number of outcomes to the proportion of occurrences in a whole set of equally likely options that lead to a specific occurrence.
given
binomial probability ⁿCₓ[(p)ˣ(q)ⁿ⁻ˣ]
where p= probability of tail = 1/2 (favorable outcome)
q = probability of head = 1/2: (1 - p)
n = total outcome = 9
x = 4
ⁿCₓ[(p)ⁿ(q)ⁿ⁻ˣ] = ⁹C₄[(1/2)⁴(1/2)⁵]
= [1/16 x 1/32]
= (512)
126/512 = 0.24609
≈ 0.090 nearest thousandth rounded off .
When a fair coin is tossed nine times, there is a 0.090 (rounded off to the nearest thousandth) chance that at most one will land on heads.
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The difference between eleven and the number d
use your trapezoid areas to find an estimate for the total area between the curve and the x-axis. show your work. make sure you include the formula you used for area of a trapezoid, and the lengths and heights of all the trapezoids you added.
The formula for the area of a trapezoid is (a+b)*h/2, where a and b are the lengths of the bases and h is the height.
To estimate the total area between the curve and the x-axis using trapezoids, we can divide the region between the curve and the x-axis into a number of trapezoids, and calculate the area of each trapezoid. The sum of the areas of all the trapezoids will estimate the total area.
For example, consider the curve y = x^2 and the x-axis between x = 1 and x = 2. We can divide this region into 3 trapezoids with bases at x = 1, x = 1.5, x = 2, and heights of 0.25, 0.5625, and 1 respectively.
The area of the first trapezoid is (1 + 1.5) * 0.25 / 2 = 0.1875
The area of the second trapezoid is (1.5 + 2) * 0.5625 / 2 = 0.40625
The area of the third trapezoid is (2 + 2) * 1 / 2 = 1
The sum of the areas of all the trapezoids is 0.1875 + 0.40625 + 1 = 1.60625. This estimates the total area between the curve y = x^2 and the x-axis between x = 1 and x = 2.
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f(x) = 6x + 3, find f(8)
Answer:
f(8) = 51
Step-by-step explanation:
f(x) = 6x + 3
Let x = 8
f(8) = 6(8) + 3
= 48+3
= 51
Answer:
51
Step-by-step explanation:
f ( x ) = 6x + 3
To find the value of f ( 8 ), replace x with 8.
f ( 8 ) = 6 × 8 + 3
f ( 8 ) = 48 + 3
f ( 8 ) = 51
There are 18 streetlights evenly spaced on a 1.5-mile road. How many streetlights would you expect on a 4-mile road in which are spaced out the same?
If the streetlights are spaced in the same way, there will be 48 streetlights on the 4-mile road.
How many streetlights would you expect on a 4-mile road?First, we know that there are 18 streetlights evenly spaced on a 1.5 mile road.
Then the space between consecutive streetlights is:
1.5mi/18 = (3/36) mi = (1/12) mi
Now, the number of streetlights that we will have on a 4-mile road is given by the quotient between the length of the road and the distance between consecutive streetlights, it is:
N = 4mi/(1/12 mi) = 12*4 = 48
There will be 48 streetlights on a 4 mile road.
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