Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
Solve the right triangle. Round all answers to the nearest tenth.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side KL is 30.81 units.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The measure of ∠J can be written as,
Cos(∠J) = JK/JL
Cos(∠J) = 7/31.6
∠J = 77.2°
Similarly the length of side KL can be written as,
Tan(∠J) = KL/JK
Tan(77.2°) = KL/7
KL = 30.81 units
Hence, the length of the side KL is 30.81 units.
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3. A is a set of points that extends infinitely in both directions.
ray
point
plane
line
Answer:
line
Step-by-step explanation:
quizlet
cliffnotes
Trigonometric Identities:
Verify the identity [tex]\frac{sin(a+b)}{sin(a-b)}[/tex] = [tex]\frac{tan(a)+tan(b)}{tan(a)-tan(b)}[/tex]
Take RHS
[tex]\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}[/tex]
tanØ=sinØ/cosØ[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}[/tex]
cancel cosAcosB[tex]\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}[/tex]
Some important identities
[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Answer:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}[/tex]
¾ - (-⅞)= i need help please solve
Answer:
1 5/8
Step-by-step explanation:
3/4 - -7/8
3/4 + 7/8
6/8 + 7/8
13/8 = 1 5/8
Answer:
1 5/8 or 13/8
Step-by-step explanation:
Remove parentheses.
[tex]\frac{3}{4}+\frac{7}{8}[/tex]
Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.
Method 1: By Listing Multiples
List the multiples of each number.
Multiples of 4 : 4, 8, ...
Multiples of 8 : 8, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8
Method 2: By Prime Factors
List the prime factors of each number
Prime Factors of 4 : 2, 2
Prime Factors of 8 : 2, 2, 2
Find the union of these primes.
2, 2, 2
Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.
LCM = 8
---> LCD = 8
Make the denominators the same as the LCD.
[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]
Simplify. Denominators are now the same.
[tex]\frac{6}{8}+\frac{7}{8}[/tex]
Join the denominators.
[tex]\frac{6+7}{8}[/tex]
Simplify.
[tex]\frac{13}{8}[/tex]
Convert to mixed fraction.
[tex]1\frac{5}{8}[/tex]
what is the value of the underlined digit
9,603
Answer:nine thousand six hundred and three
Step-by-step explanation:
Answer:
nine thousand six hundred and three
Step-by-step explanation:
Help me quick!!!!!!!!!!!!!!
Answer: 2.99914cm Rounds up to 3
Step-by-step explanation:
Whats is 184 X 8 = ? In work?
Answer:
23
Step-by-step explanation:
23 ⇔ 23 R 0
184 divided by 8
=
23 with a remainder of 0
0
2
3
8
1
8
4
-
0
1
8
-
1
6
2
4
-
2
4
0
Pamela and her friend went to the taco place with $15.00. they bought 2 burritos for $2.95 each, an order of nachos to share for $2.25, and 2 sodas for $1.75 each. how much money will they have left?
somebody please help me with this
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
(100 points cuz why not)
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of [tex]\over{AB}[/tex].
Step-by-step explanation:
To construct a perpendicular for [tex]\over{AB}[/tex], we must first take a compass & take the distance of its arms wider than half the length of [tex]\over{AB}[/tex].
This is done in order to get two intersecting arcs in the top & bottom of [tex]\over{AB}[/tex] so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above [tex]\over{AB}[/tex], draw a line joining these 2 points through their points of intersection. The point where it intersects [tex]\over{AB}[/tex] is the middle-most point of [tex]\over{AB}[/tex] & now a perpendicular bisector of [tex]\over{AB}[/tex] is constructed.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
D
Step-by-step explanation:
Which fraction is equal to 0.370 (with the line over 370)
A. 37/100
B. 370/999
C. 37/99
D. 37/9
=========================================================
Explanation:
Let x = 0.370370370...
The "370" block repeats forever, due to the horizontal bar up top.
Multiply both sides by 1000 so that the decimal point moves three spots to the right.
x = 0.370370370...
1000x = 1000*0.370370370...
1000x = 370.370370370...
Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.
1000x - x = 370.370370370... - 0.370370370...
999x = 370
x = 370/999
You can use your calculator to confirm that 370/999 = 0.370370370...
----------------
In fact, you can use your calculator to determine the following:
A) 37/100 = 0.37
B) 370/999 = 0.370370370...
C) 37/99 = 0.373737...
D) 37/9 = 4.1111111....
This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.
----------------
Side note: your calculator may round the last digit by mistake.
The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she sold $6,800 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
she earns $1008 in commissions , hope this helps i did it
Use the table of random numbers to simulate the situation.
On an average, 45% of the students in a college take a computer
course. Estimate the probability that at least 6 of the next 10
students will take a computer course.
48095
24765
05604
46497
11966
93354
86431
34731
56521
69722
26295
79423
42669
70962
17355
29826
53442
68241
88383
26431
73434
53041
29591
58166
23544
61132
12955
22834
41592
64119
53147
33205
82873
70967
70034
47821
11153
02989
37977
93425
O Possible answer: 60%
O Possible answer: 50%
O Possible answer: 55%
O Possible answer. 45%
Answer:
40%Step-by-step explanation:
A set of random numbers can be used for simulating a situation by defining how the numbers will be used to represent the possible outcomes. Trials are repeated using newly-generated random numbers until there are a sufficient number of trials to give a reasonable prediction of the probability of interest.
__
We can simulate the situation as follows:
if a pair of digits is in the range 00-44, then the student will be taking a computer coursea sequence of 10 pairs of digits (4 of the 5-digit numbers) will represent a group of 10 studentsWe are interested in the fraction of groups of 10 that have 6 or more that take a computer course. (Theoretical probability is about 26%.)Here are our trials and results.
48 09 52 47 65 05 60 44 64 97 -- 3 of 10
11 96 69 33 54 86 43 13 47 31 -- 5 of 10
56 52 16 97 22 26 29 57 94 23 -- 5 of 10
42 66 97 09 62 17 35 52 98 26 -- 5 of 10
53 44 26 82 41 88 38 32 64 31 -- 6 of 10
73 43 45 30 41 29 59 15 81 66 -- 5 of 10
23 54 46 11 32 12 95 52 28 34 -- 6 of 10
41 59 26 41 19 53 14 73 32 05 -- 7 of 10
82 87 37 09 67 70 03 44 78 21 -- 5 of 10
11 15 30 29 89 37 97 79 34 25 -- 7 of 10
__
Of these 10 trials, 4 showed the result that at least 6 of the next 10 students will choose a computer course. That is, the probability is estimated to be about 4/10 = 40%.
_____
Additional comment
Here, we can only predict the probability of interest as some multiple of 10%, since we have numbers sufficient for only 10 trials.
We could arrange the random numbers a different way and reuse them, but we choose not to for the purpose of this answer. For that to make sense, we need to have assurance that these numbers are truly random.
The number of repeated values among these 100 pairs of digits suggests that this is a poor set of numbers to be using. 26 and 41 each show up 4 times, for example. The probability of that happening by chance in a truly random set of numbers is about 0.03%. A chance event is considered to be unlikely if its probability is less than 1%.
Answer:50%
Step-by-step explanation:believe me it is 50%. 40% isn’t even a option. 50% is the correct answer.
The following data sets can be modeled linearly.
Answer:
last and third
Step-by-step explanation:
A rectangle has a perimeter of 60m. Find the
length of the rectangle if its breadth is
12m
A 2.905x10 B 2.905x10 C 2.95x10
Answer:
a. 29.05 b. 29.05 c. 29.5
The sun came out and the temperature quickly rose 18 degrees. the a thunderstorm hits and the temperature drops 6 degrees. the sun comes back out the temperature raises 12 degrees. the temperature is now 94 degrees. what was the starting temperature?
By solving a linear equation we will see that the initial temperature was 66 degrees.
What was the initial temperature?
Let's define T as the initial temperature.
First, it increases by 18 F, then it decreases 6 F, and finally, it increases another 12 F, such that the end temperature is 94F.
Then we can write:
T + 18F - 6F + 12F = 94F
Now we can solve that linear equation to find T.
T = 94F - 18F + 6F - 12 F = 66 F
In this way, we conclude that the initial temperature was 66 degrees.
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Two classes of students took an exam.
Here is a list of the scores in Class A:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Here is a box plot that shows the scores in Class B:
Box plot from 55 to 100 by 5’s. Whisker from 60 to 70. Box from 70 to 80 with vertical line at 75. Whisker from 80 to 90.
1. Which class had better overall results on the exam?
2. Which class had greater variability in the results?
The class that had better overall results on the exam is class A.
The class with greater variablity in results is class B.
Which class performed better?The statistics of students in class A:
Maximum score = 100
Minimum score = 65
Median = 85
First quartile = 1/4(n + 1) = 1/4 x 12 = 3rd term = 70
Third quartile = 3/4 x (n + 1) = 3/4 x 12 = 9th term = 90
The statistics of students in class B:
Maximum score = 100
Minimum score = 55
Median = 75
First quartile = 70
Third quartile = 80
Which class had greater variability in the results?The range would be used to determine which class has greater variability.
Range = highest score - lowest score
Class a = 100 - 65 = 35
Class B = 100 - 55 = 45
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Find the product of 3.145 by 3
Answer:
9.435
Step-by-step explanation:
Find the cube root of
0.027
Answer:
the cube root of 0.027 is 0.3
common-size analysis is another term used for a ____ analysis
IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answer:
Step-by-step explanation:
At the sweet stuff fresh produce the price of the bag of grapes… (cont in photo)
Answer:
i think it is D but I am not for shore
You flip a coin and then roll a 6-sided number cube (a die).
Find the probability of rolling a four and getting heads.
3
What is the quotient of and 3?
-
O -1/1/2
-100
110
118
The simplified quotient of 300 and 3 is 100
How to determine the quotient?The complete statement is given as:
What is the quotient of 300 and 3?
This is represented as:
Quotient = 300/3
Divide 300 by 3
Quotient = 100
Hence, the quotient of 300 and 3 is 100
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** PLS HELP **
BRAINLIEST!
Answer:
a and d
or
c and b
Step-by-step explanation:
supplementary angles are angles that add up to 180 degrees
when looking at the rectangle you see two possible answers
THE IMAGE OF TRIANGLE ABC AFTER A 180 DEGREE ROTATION THE ORIGIN IS
The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'
Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)
Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
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20% tip on a bill of $53.18
Answer:
$10.64
Step-by-step explanation:
20% out of $53.18 is $10.636 rounded to $10.64
It’s mathematical and musical at the same time
Answer:
I dont think I can type the answer on keyboard
Simplify this for me please!
Answer:
Step-by-step explanation:
6 / 3√5
= 2/√5
= 2√5/5
Answer:
[tex]\frac{2\sqrt{5} }{5}[/tex]
Step-by-step explanation:
First, you can take a factor of (3) out of the numerator and denominator. This simplifies to equal 1, so you are left with 3/√5.
6 / 3√5 -----> (3/3) x 2/1√5 ---> (1) x 2/√5 ---> 2/√5
Because radicals should not be kept in the denominator, multiply both the numerator and denominator by the radical of 5. This removes the radical from the denominator while altering both the numerator and denominator equally. Remember, the square root of a number is technically the number raised to the 1/2 power. The 1/2 power times the 1/2 power equals the power of one, essentially "eliminating" the radical.
2/√5 ---> 2/√5 x √5/√5 ---> 2√5 / 5
As there is not way to simplify further, your final answer should be [tex]\frac{2\sqrt{5} }{5}[/tex].