Answer:
Number of unique treatment combinations = 8
Step-by-step explanation:
Given:
Number of brands = 3
Number of power settings = 2
Number of microwave times = 3
Find:
Number of unique treatment combinations.
Computation:
Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times
Number of unique treatment combinations = 3 + 2 + 3
Number of unique treatment combinations = 8
-3x + y = -6 Y= 1/2x-1
Answer:
Step-by-step explanation:
Given system of equations in the question are,
-3x + y = -6
y = [tex]\frac{1}{2}x-1[/tex]
We can rewrite these equation as,
-3x + y = -6
y = 3x - 6 ------(1)
Table of input-output values for this equation will be,
x 0 1 2 3 4
y -6 -3 0 3 6
y = [tex]\frac{1}{2}x-1[/tex] ------(2)
Table for this equation will be
x 0 2 4 6 8
y -1 0 1 2 3
By plotting these points on the graph we find (2, 0) is a common point in both the tables,
Therefore, (2, 0) is the only one solution of the given system of equations.
which graph is the solution to lx| > 10? HELP PICTURE INCLUDED
Answer:
Its the first answer choice.
Step-by-step explanation:
Its open circle because the sign is just greater than. And since x is an absolute value, the negative sign doesnt matter so, it points to the right of 10 and to the left of -10.
Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 7 feet inches long. How much is cut off each board? Note: 1 foot = 12 inches A. 1 1/4 inches B. 1 3/4 inches C. 7 inches D. 3/4 inch
Answer:
c
Step-by-step explanation:
plato
which is equivalent to 243 Superscript two-fifths?
Answer:
9
i got it right on my test
The equivalent expressions to 243 Superscript two-fifths will be 9.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple, we simplify it.
Simplification usually involves making the expression simple and easy to use later,
The given expression is;
[tex]243^{2/5}[/tex]
We know that 2/3 = 0.4
So, the equivalent expressions to the given function;
[tex]243^{0.4}\\\\= 9[/tex]
Thus, The equivalent expressions to 243 Superscript two-fifths will be 9.
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Brainliest? Get this correct What is the sum of the rational expressions below?
Answer:
A)
Step-by-step explanation:
Answer:
[tex] \dfrac{5x^2 + 5x + 3}{3x^2 + 3x} [/tex]
Step-by-step explanation:
[tex] \dfrac{2x + 3}{3x} + \dfrac{x}{x + 1} = [/tex]
[tex] = \dfrac{(x + 1)(2x + 3)}{(x + 1)(3x)} + \dfrac{(3x)(x)}{(3x)(x + 1)} [/tex]
[tex] = \dfrac{2x^2 + 3x + 2x + 3}{3x^2 + 3x} + \dfrac{3x^2}{3x^2 + 3x} [/tex]
[tex] = \dfrac{2x^2 + 5x + 3 + 3x^2}{3x^2 + 3x} [/tex]
[tex] = \dfrac{5x^2 + 5x + 3}{3x^2 + 3x} [/tex]
What is the equation of the graphed line written in
standard form?
O 2x - y = -4
O 2x - y = 4
O y = 2x – 4
O y=x-4
Answer:
2x-y=4
Step-by-step explanation:
Standard form of a line: Ax+by=c
Use slope intercept form: y=mx+b
slope= 2
y=2x-4
Add 4 to both sides.
y+4=2x
subtract y from both sides.
4=2x-y
Rotate the equation
2x-y=4
Answer:
2x-y=4
Step-by-step explanation:
y=2x-4 is the slope intercept.
y-2x=-4
-2x+y=-4
2x-y=4
In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, Ethics, and Physics. Because Polly is registering early, she has 14 choices for her section of Statistics, 12 choices for her section of Composition, 11 choices for her section of Ethics, and 18 choices for her section of Physics. From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)
Answer:
Polly can choose 33264 schedules.
Step-by-step explanation:
None of these sections interfere with each other, so:
For each statistics choice, there are 12 composition choices.
For each composition choice, there are 11 section of Ethics choices.
For each section of Ethics choice, there are 18 Physics choises.
There are 14 statistics choices.
From how many possible schedules can Polly choose?
14*12*11*18 = 33264
Polly can choose 33264 schedules.
write a polar equation of a conic with the focus at the origin and the given data.hyperbola, eccentricity 3.5, directrix y
Complete Question is;
Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 3.5, directrix y =2
Answer:
r = 14/(2 + 7(sinθ))
Step-by-step explanation:
We are given;
Eccentricity;e = 3.5
Directrix; y = 2
This means that d = 2
We are told that the focus is at the origin, so since the directrix is at y = 2,then the part of the hyperbola that is closest to this focus will open downwards and the equation is given by;
r = ed/(1 + e•sinθ)
Plugging in the relevant values, we have;
r = (3.5 × 2)/(1 + 3.5(sinθ))
r = 7/(1 + 3.5(sinθ))
To make every figure a whole number, let's multiply numerator and denominator by 2 to give;
r = 14/(2 + 7(sinθ))
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. Nash's test. Which student has the higher standardized score
Answer:
Due to the higher z-score, David has the higher standardized score
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Which student has the higher standardized score
Whoever had the higher z-score.
David:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So [tex]X = 52, \mu = 70, \sigma = 11[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 70}{11}[/tex]
[tex]Z = -1.64[/tex]
Steven:
Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So [tex]X = 52, \mu = 64, \sigma = 6[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 64}{6}[/tex]
[tex]Z = -2[/tex]
Due to the higher z-score, David has the higher standardized score
What measures of center and spread are best used if the data is symmetrical and asymmetrical? Explain your reasoning.
Answer:
If the data is symmetrical, then the mean is the best measure of central tendency to use, and the standard deviation is the best spread to use.
If the data is unsymmetrical, the median is the best measure of central tendency to use, and the inter-quarterly range is the best spread to use.
Step-by-step explanation:
An histogram for a symmetrical data will give a symmetrical shape, and the mean, median and mode will all be the same value. Therefore, the best measure of central tendency to use is the mean. The standard deviation shows how far away the values in a given data set are from the mean, and since the mean is used as the measure of central tendency in this case, the standard deviation should be used as the spread.
An histogram for a an asymmetric data set will give an asymmetric shape, and the mean is not always equal to the median. Therefore, the best measure of central tendency to use is the median. The inter-quarterly range shows the range of the middle 50% of a certain data, which is considered from the median value. Since the median is used as the measure of central tendency in this case, it is wise to use the inter-quarterly range as the measure of spread.
Answer:
i ama
Step-by-step explanation:
A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/sec at an angle of 300, The height of the water can be approximated by hx)0.02612 + 0.577x+ 3, where hcx) is the height of the water in meters at a point x meters horizontally from the firefighter to the building.
a. Determine the horizontal distance from the firefighter at which the maximum height of the water occurs Round to 1 decimal place. I decimal place branch of the parabola at a height of 6 m. How far is the
b. What is the maximum height of the water? Round to
c. The flow of water hits the house on the downward firefighter from the house? Round to the nearest meter
Answer:
a). Horizontal distance = 11.1 m
b). Maximum height = 6.2 m
c). Firefighter is 13.7 m from the house
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
Height of the water can be determined by the expression,
h(x) = -0.026x²+ 0.577x + 3
Here x = Horizontal distance of the from the firefighter
a). Since the stream of the water will follow a parabolic path, maximum point of the parabola will be = Vertex of the parabolic path
Horizontal distance from the firefighter at which the water achieves the maximum height = -[tex]\frac{b}{2a}[/tex]
From the quadratic function,
h(x) = -0.026x²+ 0.577x + 3
a = -0.026
b = 0.577
Therefore, the horizontal distance = [tex]-\frac{0.577}{2\times (-0.02612)}[/tex] = 11.05 m
≈ 11.1 meters
b). By putting x = 11.1 in the quadratic equation,
h(x) = -0.02612(11.1)²+ 0.577(11.1) + 3
= -3.2182 + 6.4047 + 3
= 6.18 m
≈ 6.2 m
c). For h(x) = 6 m
6 = -0.02612x² + 0.577(x) + 3
0.02612x² - 0.577x + 3 = 0
From quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
x = [tex]\frac{0.577\pm \sqrt{(-0.577)^2-4(0.02612)(3))}}{2(0.02612)}[/tex]
x = [tex]\frac{0.577\pm\sqrt{0.019489}}{0.05224}[/tex]
x = [tex]\frac{0.577\pm0.1396}{0.05224}[/tex]
x = 13.7 m, 8.37 m
Therefore, the farthest distance of the firefighter from the house will be 13.7 m
A college student wanted to estimate the average amount of time spent texting each day among college students. He randomly sampled 125 college students and asked them to keep track of how many minutes they spent texting (reading and writing texts) on a certain day. The average time spent texting in one day for the 125 in the study was 150 minutes. The population data is known to be right skewed. Determine if the following statement is true or false.
The condition that the distribution of sample means is normal is met.
The statement is:________.
Answer:
true
Step-by-step explanation:
**Hello !** I need help to do that algebra homework. I don't really know how that website works, so just tell me how much points you want if your answer is good and i'll give them to your with a lot of pleasure. Here is the homework : Thank you so much for your help ! :)
Answer:
y = √(900 -x²); see below for a graph
Step-by-step explanation:
The high point (30 ft) is the radius of the circle, so the equation is ...
x² +y² = 30²
Subtract the x-term and take the square root to find y.
y² = 30² -x²
y = √(30² -x²) = √(900 -x²)
The graph is shown in the attachment.
_____
Comment on "how that website works"
We don't know what web site you're referring to, but the one I like is Desmos. It only takes a few minutes to learn to graph the equation here.
You don't even need to solve for y to get the desired graph. You can simply specify that y ≥ 0.
The side, s, of a square with area A square feet is given by the formula s = square root A. Find the perimeter of a square with an area of 36 square feet. ______________ ft
Answer:
24 feet.
Step-by-step explanation:
The side of the square = √36 = 6 feet.
The square has 4 equal sides so the perimeter = 4*6 = 24 feet.
Consider the matrices. A=⎡⎣⎢4−3−578−2⎤⎦⎥ and B=⎡⎣⎢−27−35−12⎤⎦⎥ What is the result of A−B? Enter your answer by filling in the boxes.
hello
[tex]A-B=\left[\begin{array}{cc}4-(-2)&7-5\\-3-7&8-(-1)\\-5-(-3)&-2-2\end{array}\right] \\\\=\left[\begin{array}{cc}4+2&2\\-10&8+1\\-5+3&-4\end{array}\right] \\\\=\left[\begin{array}{cc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
hope this helps
Using matrices A and B, the result of A-B is
[tex]A-B=\left[\begin{array}{ccc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
Given :
Two matrices A and B. We need to subtract both matrix
Lets find out A-B
Given matrices A and B are
[tex]A=\left[\begin{array}{ccc}4&7\\-3&8\\-5&-2\end{array}\right] \\B=\left[\begin{array}{ccc}-2&5\\7&-1\\-3&2\end{array}\right][/tex]
When we subtract A-B we need to subtract the corresponding elements in that matrix
[tex]A-B=\left[\begin{array}{ccc}4&7\\-3&8\\-5&-2\end{array}\right] -\left[\begin{array}{ccc}-2&5\\7&-1\\-3&2\end{array}\right]=\left[\begin{array}{ccc}4-(-2)&7-5\\-3-7&8-(-1)\\-5-(-3)&-2-2\end{array}\right] \\A-B=\left[\begin{array}{ccc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
The above is the resultant matrix .
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Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Which steps would prove the circles similar? Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4. Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4. Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3. Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D
united services and supplies reports net income of $100000 and cost of goods of $353000. If US&S's gross profit rate was 30%, net sales were
Answer:
Net sales is $ 504285.71
Step-by-step explanation:
We have the following:
Let net sales be x.
Net sales - Cost of goods sold = Gross profit
We replace and we are left with:
x - $ 353000 = x * 30%
x - $ 353000 = 0.30 * x
x - 0.30 * x = $ 353000
0.7 * x = $ 353000
x = $ 353000 / 0.7
x = $ 504285.71
Therefore, net sales is $ 504285.71
PLEASE AWNSER SOON!!! IM ALMOST OUT OF TIME!!!!!!!Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)
Answer:
The answer is C (j' 1,4). It is not B J'(4, 1) because the new coordinate is moving 90 degrees clockwise not 180 degrees.
Step-by-step explanation:
J' will have coordinates (1, 4) after 90° clockwise rotation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (-4, 1), (-1, 1), (- 1, - 1), (- 4, - 1).
After rotating the rectangle 90° clockwise about the origin, the point J(-4, 1) will be transformed to a new point J' with coordinates (y, -x).
Thus, J' will have coordinates (1, 4).
Therefore, J' will have coordinates (1, 4) after 90° clockwise rotation
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How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answer: the last one
Step-by-step explanation: because 7 times 24 equals 168 and x would be 21 so 21 times 8 equals 168.
Answer: The answer is D
Step-by-step explanation:
This Question: 1 pt
5
A person earns $15,500 one year and gets a 5% raise in salary. What is the new salary?
The new salary is $
Answer:
The new salary of that person (for the period of a year) would be [tex]\$ 16,\!275[/tex].
Step-by-step explanation:
Start by considering: what is the exact value (in dollars) of that "[tex]5\%[/tex] raise in salary"?
[tex]5\%[/tex] (five percent) is equal to [tex]\displaystyle \frac{5}{100}[/tex].
To find the value of [tex]5\%[/tex] of [tex]\$15,\!500[/tex], simply multiply [tex]\$15,\!500[/tex] by [tex]5\%[/tex]:
[tex]\begin{aligned}&5\% \times \$15,\!500\\ &= \frac{5}{100} \times \$15,\!500 \\ &= 5\times \$155 = \$775 \end{aligned}[/tex].
Add that to the original (one-year) salary of this person to find the new one-year salary:
[tex]\$15,\!500 + \$775 = \$16,\!275[/tex].
Answer:
The new salary is $16,725
Step-by-step explanation:
To find the new salary, multiply 5% and $15,500
5% * $15,500
First, convert 5% to a decimal. Divide 5 by 100 or move the decimal place 2 spaces to the left.
5/100=0.05
5.0 --> 0.5--> 0.05
0.05 * $15,500
Multiply
$775
The raise is equal to $775.
Next, add the raise to the salary.
raise + salary
The raise is $775 and the salary is $15,500
$775 + $15,500
Add
$16,275
The new salary is $16,275
Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π ⇒ −sin(y) dy dx = 1 ⇒
Answer:
[tex]\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }[/tex]
Step-by-step explanation:
Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;
let;
[tex]y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\[/tex]
[tex]\frac{dy}{dx} = \frac{-1}{sin y} \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}[/tex]
Therefore;
[tex]\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }[/tex]
Since x = cos y from the above substitute;
[tex]\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }[/tex]
Hence, [tex]\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }[/tex] gives the required proof
3. A 12 % discount on a pair of washer and dryer that Gayle purchased, amounted to $156.00. Calculate the net price.
Answer:
For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:
[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]
Where x represent the net price. And if we solve for the value of x we got:
[tex] x= 100 *\frac{156}{88}= 177.273[/tex]
So then the net price for this case would be $ 177.273
Step-by-step explanation:
For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:
[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]
Where x represent the net price. And if we solve for the value of x we got:
[tex] x= 100 *\frac{156}{88}= 177.273[/tex]
So then the net price for this case would be $ 177.273
Need help, Will mark brainlest!
Answer:14/3 ×2/7Step-by-step explanation:14/3÷7/2
take reciprocal
=14/3×2/7
Hope this may help you
If the answer is correct please mark me the brainlest
Answer:
Option 2
Step-by-step explanation:
=> [tex]4\frac{2}{3} / 3\frac{1}{2}[/tex]
Changing them into improper fractions
=> [tex]\frac{14}{3} / \frac{7}{2}[/tex]
Changing division sign into multiplication and inverting the term after it
=> [tex]\frac{14}{3} * \frac{2}{7}[/tex]
How many ways can a 4-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president comma vice dash president comma secretary comma and treasurer be chosen from a committee of 6 people?
Answer:
A) 360
B) 360
Step-by-step explanation:
Part A)
Given that there are a total of 6 people and 4 person subcommittee is to be selected.
Number of ways to select 1st person = 6
Now, 1 person is selected, total persons left are 5
Number of ways to select 2nd person = 5
Now, 1 person is selected, total persons left are 4
Number of ways to select 3rd person = 4
Now, 1 person is selected, total persons left are 3
Number of ways to select 4th person = 3
So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360
Part B)
Given that there are a total of 6 people in the committee
Number of ways to select president = 6
Now, 1 person is selected, total persons left are 5
Number of ways to select vice president = 5
Now, 1 person is selected, total persons left are 4
Number of ways to select secretary = 4
Now, 1 person is selected, total persons left are 3
Number of ways to select treasurer = 3
So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360
Eighty-five percent of the people that use the Internet order something online. Find the probability that only 7 of 10 Internet users will order something online
Answer:
the probability that 7 out 10 Internet users will order something online is 0.78 or 78%
Step-by-step explanation:
Given that:
Internet users who order something online = 85%
To find:
Probability that 7 out of 10 Internet users will order something online ?
Solution:
This problem is of binomial distribution of probability.
where, p = 0.85
q = 1-p = 0.15
r = 7 and
n = 10
Formula is given as:
[tex]P(x = r) = _nC_r q^{n-r}p^r[/tex]
Putting all the values:
[tex]P(x = 7) = _{10}C_7 0.15^{10-7}\times 0.85^7\\P(x = 7) = _{10}C_3 0.15^{3}\times 0.85^7\\P(x = 7) = 10\times 9 \times 8 \times 0.15^{3}\times0.85^7\\P(x = 7) = 720 \times .0034 \times0.32\\P(x = 7) = 0.78[/tex]
So, the probability that 7 out 10 Internet users will order something online is 0.78 or 78%.
The cube of a number is less than five times the square of the number. For what set of numbers is this true?
(–ꝏ, 5)
(5, ꝏ)
(–ꝏ, 0) U (0, 5)
(–ꝏ, 5) U (5, ꝏ)
Answer:
(–ꝏ, 0) U (0, 5)
Step-by-step explanation:
The relation can be written as ...
x³ < 5x²
x³ -5x² < 0
x²(x -5) < 0
This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...
x ∈ {(–ꝏ, 0) U (0, 5)}
Answer:
C
Step-by-step explanation:
got it right on edge
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
━━━━━━━☆☆━━━━━━━
▹ Answer
r = 4
▹ Step-by-Step Explanation
15r - 6r = 36
Collect like terms
9r = 36
Divide
r = 4
Final Answer
r = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: The answer would be 4, which is B, hopefully this helps.
3. Compare corresponding sides that include the
corresponding, congruent angles to show they are in
proportion.
Help please
Answer:
AB/AD=1/2 AC/AE=1/2
Step-by-step explanation:
The distance between 2 points A(x1; y1) and B(x2; y2) can be calculated as:
AB= sqrt((x1-x2)²+(y1-y2)²)
So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)
AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)
AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2
AB/AD =1/2
AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)
AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)
AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2
AC/AE=1/2
Answer:
first one is 1/2
second one is 1/2
Step-by-step explanation:
got it right on edge 2020
A small regional carrier accepted reservations for a particular flight with 17 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 52% chance.A. Find the probability that overbooking occurs. B. Find the probability that the flight has empty seats.
Answer:B.
Step-by-step explanation: it is better to have empty seats than toforce people to give up their seats.
Please Help ASAP! Consider the function below.
f(x) = 2X - 2.
Which of these graphs represent the inverse of the function F??
Answer:
1st Graph
Step-by-step explanation:
Step 1: Find the inverse
y = 2x - 2
x = 2y - 2
x + 2 = 2y
y = (x + 2)/2
Step 2: Graph the inverse
Simply use a graphing calculator and we should see our answer is the top left graph.