Answers
Lets use 500 minutes and solve for each company:
Plan A = 15 +0.05(500) = 15 + 25 = 40
Plan B = 5 + 0.15(500) = 5 + 75 = 80
Plan C = 10 + 0.10(500) = 10 + 50 = 60
Plan D = 20 + 0.20(500) = 20 + 100 =120
Plan A is the most cost effective.
Answer:
Plan a
Step-by-step explanation:
plan a costs $15, plus the amount that it would cost for 500 minutes, which is $25. (0.05*500=$25). $15+$25=$40.
If she chose plan b, it would cost $80, because $5+ (0.15*500)=$80.
Plan c would cost $60, by plugging in the numbers to the same function above.
Plan d would cost $120
Related Questions
x+4/6=2/3+x-1/4 slove for X
Answers
Answer:
No solution
Step-by-step explanation:
x + 2/3 = 2/3 + x - 1/4
x = x - 1/4
0 ≠ -1/4
1. Two different quadratic functions have graphs with the same vertex. Which function graph increases faster between x=2 and x=3?
a. What is the vertex of each function graph?
b. What is the average rate of change in function a between x=2 and x=3?
c. What is the average rate of change in function B between x=2 and x=3?
d. Which function graph increases faster between x=2 and x=3?
Answers
Answer:
See below in bold.
Step-by-step explanation:
a. The vertex is at (2, -1) in both functions.
b. Function A : Rate of increase = (change in y values)/ (change in x values)
= (0 - (-1)) / (3-2)
= 1.
c. Function B : Rate of change =
(0.5 - (-1)) / (3-2)
= 1.5.
d. Function B increases faster between x = 2 and x = 3.
Answer:
A). (2, -1)
B). Average rate of change of function A = 1
C). Average rate of change of function B = 1.5
D). Graph of function B increases faster than function A.
Step-by-step explanation:
A). vertex of the function A will be (2, -1)
and vertex of the function B will be same as function A, (2, -1)
B). Average rate of change in function A between x = 2 and x = 3 will be
[tex]\frac{f(3)-f(2)}{x-x'}[/tex]
Equation of the function A will be f(x) = (x - 2)²-(-1)
f(x) = (x - 2)² + 1
f(3) = (3 -2)² + 1
= 1² + 1 = 2
f(2) = 0 + 1 = 1
Therefore, rate of change = [tex]\frac{2-1}{3-2}[/tex]=1
C). Average rate of change of function B will be
=[tex]\frac{f(3)-f(2)}{x-x'}[/tex]
=[tex]\frac{0.5+1}{3-2}[/tex] [ from the given table]
= 1.5
D).Since rate of change of graph B is greater than graph A therefore, function B will increase faster than function A.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
Answers
If we divide both sides by -2, we have
[tex]bx-5 = -8 \iff bx = -3 \iff x = -\dfrac{3}{b}[/tex]
So, if you choose b=3, you have x = -3/3=-1
a)
The value of x in terms of b is:
[tex]x=\dfrac{-3}{b}[/tex]
b)
The value of x when b is 3 is:
[tex]x=-1[/tex]
Step-by-step explanation:We are given a equation in terms of x and b as follows:
[tex]-2(bx-5)=16-----------(1)[/tex]
a)
Now on simplifying the equation i.e. we solve for x i.e. we find the value of x in terms of b as follows:
On dividing both side of the equation by -2 we get:
[tex]bx-5=-8[/tex]
Now on adding both side by 5 we get:
[tex]bx=-8+5\\\\\\bx=-3[/tex]
Now, on dividing both side of the equation by b we get:
[tex]x=\dfrac{-3}{b}------------(2)[/tex]
b)
when b=3 in equation (2) we have:
[tex]x=\dfrac{-3}{3}\\\\\\x=-1[/tex]
I know that this is a lot but I really need help!! Hopefully, the reward will help!
A satellite dish has the shape of a parabola, the U-shaped graph of a quadratic function. Suppose an engineer has determined that the shape of one of the satellite dishes offered by the company can be modeled by the quadratic function y = 2/27x^2 - 4/3x, where y is the vertical depth of the satellite dish in inches and x is the horizontal width in inches.
a) Is the vertex of the function a maximum or minimum point, and how can you tell?
b) Find the x-coordinate of the vertex. Show all work leading your answer and write the answer in simplest form.
c) Find the y-coordinate of the vertex. Show all work leading your answer and write the answer in simplest form.
d) Write the vertex as an ordered pair (x, y). What does the vertex represent for this situation? Write 1 -2 sentences to explain your answer.
Answers
Step-by-step explanation:
y = 2/27 x² − 4/3 x
a) The leading coefficient (the coefficient of the x² term) is positive, so that means the parabola points up. So the vertex is at the bottom of the parabola, making it a minimum.
b) For a parabola y = ax² + bx + c, the x coordinate of the vertex can be found at x = -b / (2a). Here, a = 2/27 and b = -4/3.
x = -(-4/3) / (2 × 2/27)
x = (4/3) / (4/27)
x = (4/3) × (27/4)
x = 9
c) To find the y coordinate of the vertex, we simply evaluate the function at x=9:
y = 2/27 x² − 4/3 x
y = 2/27 (9)² − 4/3 (9)
y = 6 − 12
y = -6
d) The ordered pair is (9, -6). This means that at the lowest point of the dish, the dish is 6 inches deep. Also, since the dish is symmetrical, and the lowest point is 9 inches from the end, then the total width is double that, or 18 inches.
The vertex of the function is a minimum point. The x and y-coordinates of the vertex are 27 and -54 respectively, representing the deepest point in the dish where signals are concentrated.
Explanation:a) The vertex of a parabolic function y = ax^2 + bx + c is a maximum point if 'a' is negative and a minimum point if 'a' is positive. In this case, we have a = 2/27, which is positive, so the vertex of the function is a minimum point.
b) The x-coordinate of the vertex can be found using the formula -b/2a. For the quadratic function y = 2/27x^2 - 4/3x, b = -4/3, and a = 2/27. So the x-coordinate of the vertex is -(-4/3)/(2*2/27) = 27.
c) The y-coordinate of the vertex can be obtained by substituting the x-coordinate of the vertex into the equation. Therefore, y = 2/27*(27)^2 - 4/3*27 = -54
d) So the vertex, as an ordered pair (x, y), is (27, -54). The vertex represents the shallowest point in the parabola, which in the case of a satellite dish, equates to the deepest point of the dish, where signals are most concentrated or focused.
Learn more about Quadratic Function here:https://brainly.com/question/35505962
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There are 6 cupcakes shared equally between 10 people. What fraction of a cupcake does each person receive?
A- six tenths cupcake
B- one tenth cupcake
C- ten sixths cupcake
D- one sixth cupcake
Answers
Answer:
six tenths cupcake
Step-by-step explanation:
6/1 ÷ 10/1
6/1 × 1/10 = 6/10
The fraction of a cupcake does each person receive will be [tex]\frac{6}{10}[/tex] i.e. option A, i.e. six tenths of cupcake.
What is fraction?The fraction is numerical representation of the numbers in the form of numerator and denominator.
We have,
Total cupcakes = 6
Total people = 10
So,
To get equal share of the cupcake divide it by total number of people,
i.e.
Equal share [tex]=\frac{Total\ cupcake}{Total\ people}[/tex]
So,
Equal share for 10 people [tex]=\frac{6}{10}[/tex]
So,
Everyone gets six tenths of cupcake.
Hence, we can say that the fraction of a cupcake does each person receive will be [tex]\frac{6}{10}[/tex] i.e. option A, i.e. six tenths of cupcake.
To know more about fraction click here
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This circle is centered at the origin, and the length of its radius is 6. What is
the circle's equation?
A. x2 + y2 = 36
B. x2 + y2 = 6
C. x+y= 36
D. x + y = 1
Answers
Answer:
A. x^2 + y^2 = 36
Step-by-step explanation:
The equation of a circle is usually written in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
The center is at the origin so (h,k) = (0,0) and the radius is 6 so r=6
x^2 + y^2 = 6^2
or x^2 +y^2 = 36
Answer:
A. [tex]x^2+y^2=36[/tex]
Step-by-step explanation:
An equation of a circle form is: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Details:
[tex](h, k)[/tex] is the center of a circle, [tex]r[/tex] which means radius.
The origin is the center of the circle. [tex](h,k)=(0,0)[/tex] and the radius is [tex]6[/tex] so that means [tex]r=6[/tex]. [tex]x^2+y^2=6^2[/tex], and or [tex]x^2+y^2=36[/tex].
Note: I hope this helps anyone. Sorry about the wait for another answer but should help you and others in the meantime. And if you could please give either me, or the other person brainliest.
And enjoy the rest of your day. :)
Which geometric object is defined as the set of all points in a plane that are equidistant from two points ?
A. Line Segment
B. Circle
C. Parabola
D. Line
Answers
A geometric object which is defined as the set of all points in a plane that are equidistant from two (2) points is: D. Line.
What is a line?A line can be defined as a geometric object which comprises the set of all points in a plane that are all equidistant from two (2) points.
This ultimately implies that, a line is a one-dimensional geometric object that is straight and forms the shortest distance between two (2) points because it extends endlessly in both directions.
Read more on line here: https://brainly.com/question/1655368
Answer:
a line
Step-by-step explanation:
The zeros of a parabola are 6 and −5. If (-1, 3) is a point on the graph, which equation can be solved to find the value of a in the equation of the parabola?
3 = a(−1 + 6)(−1 − 5)
3 = a(−1 − 6)(−1 + 5)
−1 = a(3 + 6)(3 − 5)
−1 = a(3 − 6)(3 + 5)
Answers
ANSWER
[tex]3= a( - 1 +6)( - 1 - 5)[/tex]
EXPLANATION
The equation of a parabola in factored form is
[tex]y = a(x + m)(x + n)[/tex]
where 'a' is the leading coefficient and 'm' and 'n' are the zeros.
From the question, the zeros of the parabola are 6 and −5.
This implies that,
[tex]m = 6 \: \: and \: \: n = - 5[/tex]
We plug in these zeros to get:
[tex]y= a(x +6)(x - 5)[/tex]
If (-1, 3) is a point on the graph of this parabola,then it must satisfy its equation.
We substitute x=-1 and y=3 to obtain:
[tex]3= a( - 1 +6)( - 1 - 5)[/tex]
The first choice is correct.
What are the points for f(x)=3^(x-1)-2
Answers
Answer: (0, -1 [tex]\frac{2}{3}[/tex]), (1, -1), (2, 1)
Step-by-step explanation:
Set the exponent equal to zero - that is your anchor point.
Then choose an x-value less than and greater than the anchor point.
[tex]\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right[/tex]
5c-3d+11 when c=7 and d=8
Answers
Answer:
22
Step-by-step explanation:
substitute:
5(7) - 3(8) + 11=0
35 - 24 + 11 = 0
=22
[tex]
5\times7-3\times8+11= \\
35-24+11= \\
11+11=22
[/tex]
Hope this helps.
r3t40
solve 30% of what = 60 step by step
Answers
Answer:
200
Step-by-step explanation:
Of means multiply and is means equals
30% * W = 60
Change to decimal form
.30 * W = 60
Divide each side by .30
.30W /.30 = 60/.30
W = 200
solve for x in the equation
I need help ASAP
Answers
You just move all numbers to the left and set it equal to 0
And then you add all same variables together
After that you use the quadratic formula
Answer:
D
Step-by-step explanation:
Given
2x² + 3x - 7 = x² + 5x + 39
Subtract x² + 5x + 39 from both sides
x² - 2x - 46 = 0 ← in standard form
with a = 1, b = - 2, c = - 46
Solve for x using the quadratic formula
x = (- (- 2) ±[tex]\sqrt{(-2)^2-(4(1)(-46)}[/tex] ) / 2
= ( 2 ± [tex]\sqrt{4+184}[/tex] ) / 2
= ( 2 ± [tex]\sqrt{188}[/tex] ) / 2
= ( 2 ± 2[tex]\sqrt{47}[/tex] ) / 2
= 1 ± [tex]\sqrt{47}[/tex]
Please help ASAP first to answer correctly gets brainly
What is the sum in its simplest form?
11/15 + 12/15 = ?
A) 23/30
B) 1
C) 23/15
D) 1 8/15
Answers
Answer:I believe your answer should be C: 23/15
Step-by-step explanation:
So you add 11/15 and 12/15 since the common denominator is already 15 you only need to add the numerator which is 11 and 12 and 11+12= 23 thus you get 23/15
please help geometry questions
find X
Answers
Answer:
D
Step-by-step explanation:
The line x originates from the center of the circle and forms a perpendicular line with line RS, which means that the line is bisected.
That means that line RT is half of line RS, or 7.
Then we can use the Pythagorean Theorem to find the measure of x.
[tex]7^2+b^2=9^2[/tex]
[tex]49+b^2=81[/tex]
[tex]b^2=32[/tex]
b = √32
b ≈ 5.66
Given trapezoids QRST and WXYZ, which statement explains a way to determine if the two figures are similar?
A. Verify corresponding pairs of sides are congruent by translation.
B. Verify corresponding pairs of angles are proportional by translation.
C. Verify corresponding pairs of sides are proportional by dilation.
D. Verify corresponding pairs of angles are congruent by dilation.
Answers
the answer is C, all sides must be proportional to a specific factor, or the dilation
Similar shapes may or may not be congruent.
The true statement is: (c) Verify corresponding pairs of sides are proportional by dilation.
From the question, we understand that:
QRST and WXYZ are similar
The possible scenarios are:
QRST ans WXYZ are congruentQRST ans WXYZ are not congruentThe best way to determine their similarities is to assume that they are not congruent
This means that, the trapezoids are dilated, and they must have proportional corresponding sides.
The above highlight means that:
Option (c) is true
Read more about similar shapes at:
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Use long division to find the quotient below.
(15x^3+2x^2-75)÷(3x-5)
Answers
Answer:
5x^2 + 9x + 15.
Step-by-step explanation:
There is no term in x so we add one (0x).
5x^2 + 9x + 15 <------------Quotient.
--------------------------------------
3x - 5 ) 15x^3 + 2x^2 + 0 x - 75
15x^3 - 25x^2
--------------------
27x^2 + 0x
27x^2 - 45x
------------------
45x - 75
45x - 75
..........
Two cylinders. The smaller cylinder has height labeled as 4 cm. The larger cylinder has height labeled as 8 cm.
The cylinders are similar. The volume of the larger cylinder is 2264 cubic centimeters. What is the volume of the smaller cylinder?
283 cm3
303 cm3
114 cm3
155 cm3
Answers
Answer:
283cm³
Step-by-step explanation:
The linear scale factor= Height of larger/Height of smaller cylinder.
=8cm/4cm=2
VOLUME scale factor = linear scale factor³
=2³=8
Therefore we divide the volume of the larger cylinder by the volume scale factor.
volume of small cylinder=2264cm³÷8
=283cm³
Answer: first option.
Step-by-step explanation:
You know that the height of the smaller cylinder is 4 cm and the height of the larger cylinder is 8 cm, then you can find the volume ratio. This is:
[tex]Volume\ ratio=(\frac{4\ cm}{8\ cm})^3\\\\Volume\ ratio=\frac{1}{8}[/tex]
Knowing that the volume of the larger cylinder is 2,264 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.
Therefore:
[tex]V_{smaller}=\frac{1}{8}(2264\ cm^3)\\\\V_{smaller}=283\ cm^3[/tex]
Q.)Solve -37 + n = -56 for n. A.) -93. B.) -19. C.)19. D.) 93
Answers
Answer:
B.) -19
Step-by-step explanation:
-37 + n = -56
Add 37 to each side
-37 +37+ n = -56+37
n = -19
Answer: b) -19
Step-by-step explanation:
-37 + n=-56
use inverse operations and subtract -56 by 37 to get your answer
fourteen of the 100
digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective?
Answers
Answer:
0.14
Step-by-step explanation:
Fourteen of the 100 digital video recorders (DVRs) in an inventory are known to be defective. It means that the probability that a randomly selected item is defective is: [tex]\frac{14}{100} = 0.14[/tex].
A small jet can fly 1,072 miles in 4 hours with a tailwind but only 848 miles in 4 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.
Answers
Answer:
Plain still in air = 240
Air current = 28
Step-by-step explanation:
To find the speed of the jet in still air and the speed of the wind, we can set up a system of equations using the given information. Solving these equations, we find that the speed of the jet in still air is 88 mph and the speed of the wind is 180 mph.
Explanation:To find the speed of the jet in still air and the speed of the wind, we can set up a system of equations using the given information. Let's say the speed of the jet in still air is x mph and the speed of the wind is y mph. When the jet is flying with a tailwind, the speed of the jet relative to the ground is x + y mph. We can write the equation as 1,072 = (x + y) * 4. Similarly, when the jet is flying into a headwind, the speed of the jet relative to the ground is x - y mph. We can write the equation as 848 = (x - y) * 4. Now, we can solve these two equations to find the values of x and y.
Multiplying the first equation by 4, we get 4,288 = 4x + 4y. Subtracting the second equation from this, we get 1,440 = 8y. Dividing both sides by 8, we find that y = 180. Substituting this value back into the first equation, we get 1,072 = 4x + 4 * 180. Simplifying, we get 1,072 = 4x + 720. Subtracting 720 from both sides, we find that 4x = 352. Dividing both sides by 4, we find that x = 88.
Therefore, the speed of the jet in still air is 88 mph and the speed of the wind is 180 mph.
Roger and his brother work similar jobs, earning the same amount per hour. Roger earns $3,240 per month working hours, and his brother works 20
hours more than Roger and earns $5,400 per month.
Complete the equation or inequality you would use to find how many hours each brother works in a month
how many
* + 20
x 20
x-20 2
3
3,240
50
5,400
Answers
Answer:
Roger works 30 hours and his brother works 50 hours
Step-by-step explanation:
Let
x ---->the number of hours Roger works in a month
y ---->the number of hours his brother works in a month
step 1
Find out how much they earn per hour
5,400-3,240=$2,160 -----> amount earned by 20 hours of work
$2,160/20=$108 per hour
step 2
Find out how many hours each brother works in a month
Roger
108*x=3,240
x=3,240/108=30 hours
His brother
y=x+20
y=30+20=50 hours
Answer:
i dont know
Step-by-step explanation:
Mateo is constructing an equilateral triangle inscribed in a circle with Center p . he draws the diameter of the circle through centerpiece using the Straight Edge next he opend his compass to a width equivalent to the radius of the circle what is his next step
Answers
Answer:
Step-by-step explanation:
Next he marks the circumference of the circle with 6 equal marks that also equal the radius.
He numbers the points consecutively.
He joins points 2 4 6 2 or 1 3 5 1 (The last point gets him back to where he started.
That's his equilateral triangle using just a straight edge and compass.
PLEASE HELP PLEASE
A recipe that makes 2 dozen cookies calls for 4 1/2 cups of flour. How much flour would be needed to make 7 dozen cookies?
A) 31 1/2 cups
B) 9 cups
C) 14 cups
D) 15 3/4 cups
Answers
Answer:
Option D) 15 3/4 cups
Step-by-step explanation:
we know that
using proportion
Let
x ----> the cups of flour needed
[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}\ cups\ flour[/tex]
[tex]\frac{(9/2)}{2}=\frac{x}{7} \\ \\x=(9/2)*7/2\\ \\x=63/4\ cups\ flour[/tex]
convert to mixed number
[tex]63/4\ cups=15.75=15\frac{3}{4}\ cups[/tex]
What is the chance that a person randomly selected off the street was born in May
8%
12%
20%
30%
Answers
Answer: Eight percent.
Step-by-step explanation: In order to find this, we have to use the probability formula, which is:
The Event We Are Looking For/All of the Events.
In this case, plugging the numbers into the formula we get
May(1)/All the months in the year, including May (12).
Diving this, our answer will be 0.08333..., or rounded up to 0.8
However, since we are only looking for one specific event, we can take the number 100, and divide it by all the events. 12/100 is 8.333..., or rounded to 8.
Final answer:
The chance that a person randomly selected off the street was born in May is about 8%, assuming birth rates are evenly distributed throughout the year.
Explanation:
The question, "What is the chance that a person randomly selected off the street was born in May?" is one that pertains to the subject of probability in Mathematics. Since there are typically 12 equally likely months that a person could be born in, and assuming there is no significant variation in birth rates by month, the chance that someone chosen at random off the street was born in May is 1 out of 12 months.
Thus, to calculate the probability, you would divide 1 by 12, which equals approximately 0.0833. To express this as a percentage, we multiply by 100, yielding an 8.33% chance. Therefore, the closest answer among the provided options is 8%.
Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″. Which statement explains why the squares are similar?
A. Translations and dilations preserve side length; therefore, the corresponding sides of squares T and T″ are congruent.
B. Translations and dilations preserve orientation; therefore, the corresponding angles of squares T and T″ are congruent.
C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.
D. Translations and dilations preserve collinearity; therefore, the corresponding angles of squares T and T″ are congruent.
Answers
Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
Dilation:
Transformation in which the image has the same shape as the pre-image, but the size changes. Dilation preserves betweenness of points. Angle measures do not change.
Translation:
Transformation in which the image is the same size and shape as the pre-image. Translation preserves betweenness of points. Angle measures do not change.Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.
Answer:
C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.
Step-by-step explanation:
Please Help right now. 4x = 8x − 1
Answers
Final answer:
To solve the equation 4x = 8x - 1, isolate the variable x by subtracting 4x from both sides, then add 1 to both sides, and finally divide both sides by 4. The solution is x = 1/4.
Explanation:
To solve the equation 4x = 8x - 1, we need to isolate the variable x. We can do this by subtracting 4x from both sides of the equation:
4x - 4x = 8x - 4x - 1
0 = 4x - 1
Next, we can add 1 to both sides of the equation:
1 = 4x - 1 + 1
1 = 4x
Finally, we can divide both sides of the equation by 4 to solve for x:
1/4 = 4x/4
x = 1/4
The solution to the equation 4x = 8x - 1 is x = 1/4. We solve the equation by isolating x through standard algebraic steps. Checking our solution, we substitute it back into the original equation and confirm it is correct by verifying the equality.
The equation given by the student is 4x = 8x − 1. To find the value of x, we need to solve the equation. We start by subtracting 4x from both sides of the equation to get 0 = 4x − 1. We then add 1 to both sides which gives us 1 = 4x. Finally, we divide both sides by 4 to isolate x, which results in x = 1/4. This is the solution to the equation.
As a check, substituting x = 1/4 back into the original equation yields 4(1/4) = 8(1/4) − 1, simplifying to 1 = 2 − 1, which is a true statement and confirms our solution is correct.
Using the same technique, we can also solve different algebraic equations or systems of equations by manipulating the equations algebraically before substituting numerical values. This is illustrated in the given set of equations where variables are systematically eliminated until we end up with a single variable.
Therefore the by solving the equation 4x = 8x - 1 we get x = 1/4
The scores on a test are normally distributed with a mean of 80 and a standard deviation of 16. What is the score that is 2 standard deviationsdeviations aboveabove the mean?
Answers
The deviation from 80 of about 16 is normal.
So the lowest is usually 80 - 16 = 64 and the highest is 80 + 16 = 96
But now we have a "deviation" that is 2 standard deviations above the mean score.
So 80 + 16 + 16 = 112 is this score.
Hope this helps.
r3t40
Final answer:
To calculate the score that is 2 standard deviations above the mean of 80 with a standard deviation of 16, you add 2 times the standard deviation to the mean, resulting in a score of 112.
Explanation:
To find the score that is 2 standard deviations above the mean on a test with a mean of 80 and a standard deviation of 16, we use the formula:
Score = Mean + (Number of Standard Deviations × Standard Deviation)
So, plugging in the numbers we get:
Score = 80 + (2 × 16)
Score = 80 + 32
Score = 112
The desired score is therefore 112, which is 2 standard deviations above the mean of 80.
How are trapezoids and parallelograms related?
Both are rhombuses.
Both have two pairs of congruent sides.
Both have supplementary angles.
Both have parallel sides.
Answers
Trapezoids and parallelograms both feature parallel sides, with a trapezoid having one pair and a parallelogram having two pairs. Parallelograms always have supplementary consecutive angles and congruent opposite sides, which is not necessarily the case for all trapezoids.
Trapezoids and parallelograms are related by the characteristic that they both have parallel sides. Specifically, a trapezoid has one pair of parallel sides known as the bases, whereas a parallelogram has two pairs of parallel sides.
Moreover, the consecutive angles in a parallelogram are supplementary, meaning that any two angles next to each other add up to 180 degrees. While trapezoids do not have this property for all four of their angles, the angles adjacent to the bases (the non-parallel sides) may also be supplementary, depending on the specific shape of the trapezoid.
It is important to note that while all parallelograms are quadrilaterals with opposite sides that are congruent and parallel, not all trapezoids share these properties. The key distinction between the two shapes lies in the number of parallel sides.
Additionally, comparing them with rhombuses, parallelograms can be rhombuses if all sides are congruent, but trapezoids cannot be rhombuses as they lack the two pairs of parallel sides.
A pair of shoes coats $25 to make. This means that you need to charge a price of atleast __ just to cover you Options : A:$25 B:$10 C:$50
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Answer:
25
Step-by-step explanation:
Because they cost $25 to make so in order to cover the cost they would need to charge at least 25, but out of those choices if they wanted to make a profit they'd need to charge the $50
Let f (x) = x^2 - 6x - 27
Enter the x - intercepts of the quadratic function in the boxes.
X = ___ and X = ___
Answers
Answer:
x = 9
x = 3
Step-by-step explanation:
find the roots of x² - 6x - 27 = 0
by factorization (or use any of your favorite methods for solving quadratic equations):
x² - 6x - 27 = 0
(x-9)(x+3) = 0
Hence,
(x-9) = 0 --------> x = 9
or
(x+3) = 0 --------> x = -3
The intercepts of the quadratic function is 9 and 3.
What is a function ?A function can be defined as a mathematical expression which explains the relationship between dependent variable and independent variable.
It always comes with a defined range and domain.
The function given in the question is
f (x) = x² - 6x - 27
To find the intercept means to find the roots of the equation
roots can be determined by
x² - 9x + 3x -27 = 0
x(x-9) -3(x-9) = 0
x= 9 , 3
Therefore the intercepts of the quadratic function is 9 and 3 .
To know more about function
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