Another name for equilateral quadrilateral is rhombus since equilateral means that all of its sides are equal in length.
Another name for an equiangular quadrilateral, is a rectangle.
Another name for a regular quadrilateral is a square, one in which all sides are congruent and all angles are congruent.
What is another name for an equilateral triangle?
Due to the equality of its sides, an equilateral triangle is also known as a regular polygon or regular triangle.
What does equiangular mean?Equiangular simply implies "equal angles." 2. A triangle with acute angles is one in which each of the three internal angles is smaller than 90 degrees.
A quadrilateral is a rhombus if each of its diagonals bisects the vertex angles through which it travels.
∴Another name for equilateral quadrilateral is rhombus since equilateral means that all of its sides are equal in length.
Another name for an equiangular quadrilateral, is a rectangle.
Another name for a regular quadrilateral is a square, one in which all sides are congruent and all angles are congruent.
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At the market, 5 light bulbs cost $9 dollar sign, 9.
How much do 7 light bulbs cost?
Answer: $12.60
Step-by-step explanation:
Take 9 divided by 5 = $1.80 per light bulb
Then take 1.80 times 7 = $12.60
The map given shows the relationship between three streets. Suppose that m21.
+ m2=180.
Are Maple Street and Elm Street parallel? Explain.
Maple Street
Elm Street
River Drive
No because m1 and m42 are supplementary
Yes because m1 and m42 are supplementary
Yes because m1 and m2 are congruent.
No because m 21 and m22 are congruent.
-30
The correct statement regarding whether Maple Street and Elm Street are parallel lines is given as follows:
Yes, because angles 1 and 2 are supplementary.
How to define whether the lines are parallel?Parallel lines are two lines that do not intersect, or technically, intersect only at infinity.
In this problem, we have that angles 1 and 2 are supplementary angles, hence:
m<1 + m<2 = 180º
As the sum of the measures of supplementary angles is of 180º.
Then these two angles are classified as consecutive interior angles, meaning that Maple Street and Elm Street are parallel lines cut by the transversal River Drive.
Thus the second option is the correct option.
Missing InformationThe situation is represented by the image shown at the end of the answer.
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if the probability that a certain tennis player will serve an ace is 1 4 , what is the probability that he will serve exactly four aces out of seven serves? (assume that the seven serves are independent. round your answer to four decimal places.)
The probability that he will serve exactly four aces out of seven serves is 5.7 %.
Given :
if the probability that a certain tennis player will serve an ace is 1 / 4 .
If we let p stand for the probability of a succes, then p = 1/4, and ( 1 - p ) = 3/4. (1-p) is the probability that he will NOT serve an ace.
Formula for probability:
P (m successes in n trials) = ( nCm ) * p^m * ( 1 - p )^( n - m ).
= 7C4 * ( 1/4 )^4 * ( 3/4 )^( 7 - 4 )
= 7! / ( 7 - 4 )! 4! * 1/256 * 27/64
= 7 * 6 * 5 / 3 * 2 * 1 / 256 * 27/64
= 35/256 * 27/64
= 945/16384
= 0.057
= 0.057 * 100 %
= 5.7 %
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You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166
The claim that a drug is effective at 1% is not sufficiently supported by the available data.
Participant 1 2 3 4 5 6
Before 185 220 190 158 227 211
After 175 215 195 155 230 207
Difference = Before - After = 10 5 -5 3 -3 4
Participant 7 8 9 10 11 12
Before 260 156 201 300 180 270
After 258 159 201 290 172 272
Difference = Before - After = 2 -3 0 10 8 -2
Participant 13 14 15 16 17 18
Before 293 183 205 151 291 166
After 290 185 200 146 287 166
Difference = Before - After = -7 -2 5 5 4 0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44
The mean of d, [tex]d`[/tex] = Σd / n = 44 / 18 = 2.44
The standard deviation, S.d = 4.45 (using calculator)
The test statistic, T : [tex]d`[/tex] / (S.d/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
P value = 0.0326
α = 0.01
Since P value < α ; we fail to reject H0
So the claim that a drug is effective at 1% is not sufficiently supported by the available data.
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Solve: Show your work
0.321 x 50
Answer:
.321× 50
000
+ 1605X
therefore answer is 1.605
How do you simplify the expression (1−sin^2x)cosx ?
On simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex] we get [tex]cos^3x[/tex].
there are many ways to simplify trigonometric expressions. The simplest one is to use trigonometric identities.
[tex](1-sin^2x)cosx[/tex]
now, accordingly, we use the following identity of trigonometry to simplify
[tex]sin^2x+cos^2x=1\\\\[/tex]
subtract sin^2x on both sides of this trigonometric identity we get
[tex]sin^2x-sin^2x+cos^2x=1-sin^2x[/tex]
so by canceling similar terms from the left side we get
[tex]1-sin^2x=cos^2x[/tex]
so by putting it in the first expression we get
[tex](1-sin^2x)cosx[/tex][tex]=cos^2x(cosx)[/tex]
finally, we get
[tex]=cos^3x[/tex]
so by simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex] using trigonometric identities we get [tex]cos^3x[/tex].
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use the counting techniques from the last chapter. a bag contains two red marbles, three green ones, one fluorescent pink one, three yellow ones, and two orange ones. suzan grabs three at random. find the probability of the indicated event. she gets all the red ones, given that she gets the fluorescent pink one.
The probability of the indicated event is 1/110.
P(2red, pink) = P(2red, pink)/P (pink)
There are a total of 1 ways to get 2 red and pink, for a total of 1 possible triples. P(2red and pink) = 1/220 P(pink) = Number of ways to get 1 pink = 1*11*10 Number of potential triples = 220 P(1 pink in 3) = 110/220 = 1/2 ———-
P(2red | pink) = (1/220)/(1/2) = 2/220 = 1/110 ————————————————
Cheers,
Stan H.
How do you determine an event's probability?To determine the likelihood, apply the procedure below: Find an event with a single result in Step 1. 2. Determine the total number of possible results. Step 3: Subtract the number of fortunate occurrences from the total number of potential outcomes.
How can I determine the suggested probability?You can attempt to find the indicated probability using a variety of equations. The normal distribution model and the standard normal distribution are two techniques that you could choose to adopt since they are both frequently used to calculate suggested probability precisely.
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**I WILL MARK BRAINLIEST AND GIVE 58 POINTS**
Decide which situations can be represented by the system of equations y= x + 9 and x + y = 300.
1. Kiran scores 300 career goals. There are 9 more games to play.
2. Mrs. Ardoin and Mrs. Thomason measure the length of their lawns. They notice that Mrs. Ardoin's lawn is 9 yards longer, and their lengths add up to exactly 300 yards .
3. University View Academy took a count of their faculty. They found that there are 9 more male faculty members than female, and their total number of faculty members is 300.
There are 95 green balls and 90 red balls in a box. How many balls must be chosen to
be certain we have the following?
One red and one green?
The number of balls that must be chosen to be certain we have One red and one green is; 5 balls.
What is the probability of selection?We are given;
Number of green balls in box = 95 balls
Number of red balls in box = 90 balls
Thus;
Total number of balls in the box = 95 + 90
Total number of balls in the box = 185 balls
Now, the probability of getting one red from selection = 90/185
Probability of getting one green ball = 95/185
P(Red and Green) = P(R) * P(G)
P(R and G) = = (90/185) * (95/185) = 0.2418
However, in this case we will make use of the unitary method which is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Thus, minimum number of balls to get the given selection = 95 - 90 = 5 balls
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What is the common ratio of the sequence below?
2/3, 1/6, 1/24, 1/96,…
1/9
1/4
4
9
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 7700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 40-kilogram crates that can be loaded into the shipping container.
An inequality representing c, the total number of 40-kilogram crates that can be loaded into the shipping container is; 7700 + (40c) ≤ 27500
The maximum number of 40 kg crate is 380.
How to solve Inequality Word Problems?We are given;
Weight of the crate = 40 kg
Greatest weight that the container can load = 27500 kg
Weight of the other shipments on the container = 7700 kg
The greatest number of 40 kg crates is represented by the letter "c".
Thus;
The weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container
Plugging in the relevant values gives;
7700 + (40c) ≤ 27500
7700 + 40c ≤ 23000
40c ≤ 27500 - 7700
40c ≤ 19800
c ≤ 19800/40
c ≤ 495
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Determine whether the geometric series is convergent or divergent. 10 ? 4 + 1.6 - 0.64 + ... convergent divergen
The series in question converges.
Convergent divergent series: what are they?If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on rising or dropping as the terms of the series go to infinity, it is said to be divergent.
The geometric sequence is as follows:
10 - 4 + 1.6 - 0.64 +...
If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.
The common ratio in this case is
r = -4/10
r = -0.4, or -1 -0.4 1.
The presented series is hence convergent.
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An equation that pass through -4,-1 and perpendicular to the line y = 4/3x + 6
The equation of the perpendicular line is y = 3/4(x + 4) - 1
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 4/3x + 6
Also, from the question;
We have the following points
The point is given as
Point = (-4, -1) i.e. (x, y) = (-4, -1)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = -4/3
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is 3/4
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = 3/4
(x₁, y₁) = (-4, -1)
So, we have
y = 3/4(x + 4) - 1
Hence, the line has an equation of y = 3/4(x + 4) - 1
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A store marks up winter wear 17%. Write two expressions equal to the retail price of an
item with an original cost of w dollars.
Answer:
w * (1 + 0.17) or w + (w * 0.17)
Step-by-step explanation:
Here are two expressions that represent the retail price of an item with an original cost of w dollars, assuming that the store marks up the price by 17%:
Retail price = w * (1 + 0.17)
This expression shows that the retail price is equal to the original cost multiplied by the markup percentage (0.17) plus 1. For example, if the original cost of the item is $100, the retail price would be $100 * (1 + 0.17) = $117.
Retail price = w + (w * 0.17)
This expression shows that the retail price is equal to the original cost plus the markup amount (which is equal to the original cost multiplied by the markup percentage). For example, if the original cost of the item is $100, the retail price would be $100 + ($100 * 0.17) = $117.
Math question
finding the slope
Answer:
y-intercept: -1
Step-by-step explanation:
The equation is y = mx + b
In this case, the y-intercept is -1
-1 is an integer, so my answer is correct!
Answer:
Slope: 1/3, [tex]y[/tex]-intercept: -1
Step-by-step explanation:
The [tex]y[/tex]-intercept of the line with equation [tex]y=mx+b[/tex] is [tex]b[/tex]. The slope is [tex]m[/tex].
if the slope and a point of a line are given, then the equation of the line can be written in point-slope form. truefalse
The slope and a point of a line are given then the equation of a line can be found. So the answer is true.
The equation of a line:
The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The most popular form in algebra is the "slope-intercept" form. y = mx + b. This in effect uses x as a parameter and writes y as a function of x: y = f(x) = mx+b.
Here we have to get to know if the slope and a point on a line are given then we can find the equation of a line or not.
Let us assume m is the slope of a line and (x1, y1) is the point on a line.
By this, we get the equation:
y- y1 = m( x - x1)
Therefore from the slope and a point on a line, we can find the equation of a line.
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Work out the size of angle 0.
Give reasons for your answer.
Answer:
θ = 56°
Step-by-step explanation:
As OA and OB are both radii, triangle AOB is an isosceles triangle:
⇒ m∠ABO = m∠OAB = 48°
Interior angles of a triangle sum to 180°:
⇒ m∠ABO + m∠OAB + m∠AOB = 180°
⇒ 48° + 48° + m∠AOB = 180°
⇒ m∠AOB = 180° - 48° - 48°
⇒ m∠AOB = 84°
Angles on a straight line sum to 180°:
⇒ m∠AOB + m∠DOB = 180°
⇒ 84° + m∠DOB = 180°
⇒ m∠DOB = 180° - 84°
⇒ m∠DOB = 96°
The tangent of a circle is always perpendicular to the radius.
Therefore, tangent BC is perpendicular to radius OB, and tangent DE is perpendicular to radius OD, so:
m∠OBC = 90°m∠ODE = 90°OBCD is a quadrilateral.
The interior angles of a quadrilateral sum to 360°:
⇒ m∠OBC + m∠BCD + m∠CDO + m∠DOB = 360°
⇒ 90° + θ + 28° + 90° + 96° = 360°
⇒ θ + 304° = 360°
⇒ θ = 360° - 304°
⇒ θ = 56°
Mr. Jones has driven 600 miles to Dallas. He has 70% of the trip left to go. How many more miles does Mr. Jones have to drive to get to his destination? Round your answer to the nearest whole mile.
Answer: Mr.Jones have to drive 420 miles more to get to his destination
Step-by-step explanation:
Find 70 percent of 600
70 percent is the same as 0.7
Mutiply 600 by 0.7 to find the remaining miles
600*0.7=420
(8) This is part of Dafydd's homework.
a )Explain what Dafydd has done wrong.
b )Write the correct answer.
Question
Round 39.47 to the nearest whole number.
Solution :
The 7 rounds the 4 up to a 5 so 39.47 = 39.5
Then the 5 rounds the 39 up to 40.
So, 39.47 40 (to the nearest whole number)
a kite is flying 120 ft above the ground. the length of the string to the kite is 200 feet, measured from the ground. find the angle, to the nearest degree, that the string makes with the ground.\
The angle, to the degree, that the string makes with the ground is
34.33.
A right-angled triangle can be formed by the string, the height of the kite, and the horizontal distance along the ground to a point directly beneath the kite.
The string represents the hypotenuse (200 feet), and the height (120 feet) represents the opposite side.
The trigonometric ratio sin can be used to calculate the angle between the string and the ground.
sinθ= Perpendicular/hypotenuse
sinθ=120/200
=0.6
Now sin(0.6) = 0.5646
sinθ=0.5646
therefore ,θ
=sin⁻¹(0.5646)
=34.33°
Heights and Distances is a study of Trigonometry applications. It has many real-world applications, such as measuring the height of an object, the depth of an object, the distance between two celestial objects, and so on.
Trigonometric formulas and ratios are useful in the study of heights and distances.
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Need help answering this question
Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
The rate of change of the distance below the sea level with respect to time is 11 feet per second.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
The table has a linear relationship.
We can choose two data from the table.
At time = 15,
Distance below the sea level = 545 feet.
At time = 27,
Distance between the sea level = 677
Now,
The rate of change of the distance below the sea level with respect to time.
Slope:
= (677 - 545) / (27 - 15)
= 132 / 12
= 11 feet per second
Thus,
The rate of change of the distance below the sea level with respect to time is 11 feet per second.
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The rate of change of distance for the submarine is given by 11 feet/sec.
How to find the slope for two given points?In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).
Given that,
The table for distance travelled versus time taken for a submarine.
In order to find the slope, take two values of distance and time from the given table as 380 feet at t = 0 and 545 feet at t = 15.
Now, the slope can be found as,
slope = (545 - 380)/(15 - 0)
= 165/15
= 11
Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.
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What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below? exponential graph passing through point 1, 2 and point 2, 1. (1 point) f(x) − 2 f(x + 2) f(x − 2) f(x) + 1
The transformation that has changed the parent function f(x) = (0.5)^x to the exponential graph passing through points (1,2) and (2,1) is given as follows:
f(x - 2).
How to define the transformation?The parent function for this problem is given as follows:
f(x) = (0.5)^x.
Hence the points on the graph of the parent function are given as follows:
(-1, 2), as when x = -1, f(x) = (0.5)^(-1) = (1/0.5)^1 = 2.(0, 1), as when x = 0, f(x) = (0.5)^0 = 1.(1, 0.5), as when x = 1, f(x) = (0.5)^1 = 0.5.(2, 0.25), as when x = 2, f(x) = (0.5)² = 0.25.The points on the transformed function are given as follows:
(1,2) and (2,1).
Meaning that the value assumed at x = -1 is now assumed at x = 1, while the value assumed at x = 0 is not assumed at x = 2, meaning that the function was shifted right two units, and the transformation is defined as follows:
f(x - 2).
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the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.
When the distribution is normal, we use the z-score formula.
In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:
Z = (X – µ) / σ
What is Z-score?The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
So, in this case, given that:
µ = 249, σ = 20
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:
100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.
Now, put all the values into the formula:
Z = (X – µ) / σ
–0.253 = (X – 249) / 20
X – 249 = –0.253 * 20
X = 244
Hence, the candle burns for 244 minutes.
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in huffman encoding if all the letters have the same frequency then they have equal code lengths. true or false g
If all the letters have the same frequency then they have may or may not be equal codes.
What is Huffman encoding?
A lossless data compression algorithm is Huffman coding. Input characters are given variable-length codes, the lengths of which are determined by the frequency of the matching characters.
The variable-length codes (bit sequences) assigned to input characters are Prefix Codes, which indicates that no other character will have a code that is the prefix of the code assigned to that character. This is how Huffman Coding ensures that the produced bitstream cannot contain any ambiguities during decoding.
Let's use a counter example to better grasp prefix codes. Assume that the four characters a, b, c, and d have the variable length codes 00, 01, 0 and 1, respectively. Because the code assigned to c is the prefix of the codes assigned to a and b, this coding causes uncertainty. If the bit stream being compressed is 0001, the decompressed output might be "cccd," "ccb," "acd," or "ab."
In huffman coding, if two nodes have the same frequency, they are considered to be identical for compression reasons, therefore you can select either one and gain an equal amount of compression.
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Amir spent a total of $53.75 on breakfast sandwiches and bagels for his friends who are visiting from out of town. Each breakfast sandwich costs $4.25, and each bagel costs $2.00. He bought 5 more bagels than breakfast sandwiches.
Write a system of equations that could be used to solve for the number of breakfast sandwiches and bagels he bought.
And solve the system of equations to determine how many bagels and sandwiches Amir bought.
The system of equations is:
2b + 4.25s = 53.75
b - s = 5
The number of bagels bought is 12 and the number of sandwiches bought is 7.
How many bagels and sandwiches were bought?2b + 4.25s = 53.75 equation 1
b - s = 5 equation 2
Where:
n = number of bagels bought s = number of sandwiches boughtThe elimination method would be used to determine the required values.
Multiply equation 2 by 2
2b - 2s = 10 equation 3
Subtract equation 3 from equation 1 :
6.25s = 43.75
Divide both sides of the equation by 2.25
s = 43.75 / 6.25
s = 7
Substitute for s in equation 1:
2b + 4.25(7) = 53.75
2b + 29.75 = 53.75
2b = 53.75 - 29.75
2b = 24
b = 24 / 2
b = 12
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Which is an example of a defined term A. Point B. Line C. Ray D. Plane
Answer: c:ray
Step-by-step explanation:
A ray is like a line, but the line takes off in one direction to infinity while the other side is like a line segment. The end of the line is called the endpoint. That's why it is a defined term.
At the first school , there were 5 Sixth graders for every 2 seventh graders. At the second school dance, there were 7 sixth graders for 8 seventh graders . Are the ratios of sixth to Seventh on graders at both school dance equivalents. Explain
Answer:
No
Step-by-step explanation:
The ratio of the first school is 5/2. The ratio of the second school is 7/8.
$89.75 scooter; 7.25% tax
Answer:
$97
Step-by-step explanation:
if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points) part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically.
The best attendance is at School W, according to a The highest average attendance is at School W, according to b.
Explained step-by-stepAccording to a, the school with the least amount of volatility in its data will be the most reliable.
It's only the least inconsistent among its own data; consistent doesn't necessarily indicate the best. Because variance indicates how dispersed the data is, the school with the lowest variance is the most reliable.
For an explanation of how each school's deviations were determined, see photo 1.
Take each school's mean as b. Whichever is higher in value is the school with the highest average.
For the computations of the means for each school, see photo 1. (Since the mean is used to determine variance, we will start with this step.)
Why enroll at a secondary institution?These are the justifications for our secondary school selection. Our top consideration while selecting a secondary school is: A Journey Like when we looked at elementary schools, I want my kids to attend a secondary school that they can walk to. Due to this factor, we are left with only two institutions to choose from when ranking schools on the application form.
What motivates your desire to select a college or university?You might not have much work experience for interviewers to talk about as a recent graduate or candidate for an entry-level employment. Similar insights into your career aspirations and personal interests can be gained from selecting a college or university.
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Two groups of runners leave the same locker room heading in opposite directions. Group A runs 4.6 miles due
east, then turns 40° toward north and runs 2.1 miles. Group B runs 4.6 miles due west, then turns 50° toward
south and runs 2.1 miles. Which group is farther from the locker room?
Using law of cosines, the group that is farther from the locker room is; Group B
How to use Law of Cosines?The law of cosines gives that;
c² = a² + b² - 2ab cos C
Now, for group A, we can use law of cosine to find their current distance from the locker room as;
a² = 4.6² + 2.1² - 2(4.6*2.1)*cos 40°
a² = 21.16 + 4.41 - 14.8
a = √10.77
a = 3.28 miles
Similarly, for Group B, we have;
b² = 4.6² + 2.1² - 2(4.6*2.1)*cos 50°
b² = 21.16 + 4.41 - 12.42
b = √13.15
b = 3.63 miles
This means that group B is farther from the locker room
Read more about Law of cosines at; https://brainly.com/question/4372174
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