Answer:
[tex]x - y + 5 = 0[/tex]
Step-by-step explanation:
Given:
Line passes through (-2,3) and (2,7)Required:
Find the equation of the lineThe equation of the line passing through two points is given by
[tex]\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }[/tex]
So, [tex]\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]
Now, [tex]y-3 = x+2[/tex]
On rearranging,
[tex]x - y + 3 + 2 = 0x - y + 5 = 0[/tex]
Therefore, the equation of the line is [tex]x - y + 5 = 0.[/tex]
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament.
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary.
The mean is.
The median is.
The modes from least to greatest are , , and.
The range is.
The interquartile range is.
The data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20
What is mean, median and mode of a data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament. The table is attached below.
The data according to the table is,
41,41,43,43,45,50,52,53,54,62,63,63,67,75,97
The mean is-[tex]\mu=\dfrac{41+41+43+43+45+50+52+53+54+62+63+63+67+75+97}{15}\\\mu=\dfrac{849}{15}\\\mu=56.5[/tex]
The median is.
The arranged data according to the table is,
41,41,43,43,45,50,52,53,54,62,63,63,67,75,97
Here, the middle value is 53. Thus, the median is 53.
The modes from least to greatest are , , and.Mode is the data which occur most offen. Here the order of modes from least to greatest is,
41 41 43 43 45 50 52 53 54 62 63 63 67 75 97
The range is.Lowest value in data is 41 and highest is 97. Thus, the range is,
[tex]r=97-41\\r=56[/tex]
The interquartile range is.The third quartile of data is 63 while first quartile is 43. Thus, the interquartile range is.
[tex]IQR=63-23\\IQR=20[/tex]
Thus, the data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20.
Learn more about the mean, median and mode here;
https://brainly.com/question/14532771
#SPJ1
Which equation translates the sentence, "Three times the number m plus ten is equal to n"?
A. 3m + 10 = n
B. 3(10) + m = n
C. 3 + 10m = n
D. 3 x 10(m) = n
I need help with this and how to solve it
The graph shows the amount in Harold's savings
account over a certain number of weeks. Find the rate
of change and record it in the grid
HELPS A GIRL OUT
What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20
What 2 numbers multiply to get 35 and add up to get -12?
Answer:
-7 and -5
Step-by-step explanation:
Because Im smart not gonna lie.
What is the perimeter of parallelogram ABCD?
Answer:
18 cm
Step-by-step explanation:
4+5+4+5=18
or
2(a+b)
2(4+5)
2(9)
18
Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.
StartFraction log one-fourth Over log 12 EndFraction
Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12
Answer:
[tex]log_{12}(\frac{1}{4})[/tex]
Step-by-step explanation:
We start with our equation that the change of base formula was applied to:
[tex]\frac{log\frac{1}{4} }{log12}[/tex]
The change of base formula describes taking the base (b) of the logarithm and setting it as the denominator while taking the remaining number (a) and setting that as the numerator.
If we reverse the formula, we end up with the supplied answer.
[tex]log_{12}(\frac{1}{4})[/tex]
Answer:
Other guy is correct
Step-by-step explanation:
Balance the nuclear reaction equation for the beta minus decay of iodine-131 by completing the missing numbers. superscript 131 subscript 53 upper i right arrow superscript question mark subscript 54 upper x e plus superscript 0 subscript question mark e. the superscript of xenon is . the subscript of the electron is .
Beta minus decay has to do with the loss of an electron. The superscript on the daughter nucleus is 131 while the subscript is 54;
What is a beta minus decay?The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.
The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The daughter nucleus here is Xe while the parent nucleus is I.
Learn more about beta decay: https://brainly.com/question/25455333
Answer:
The superscript of xenon is 131
The subscript of the electron is -1
Step-by-step explanation:
prove that
{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
First, expand the terms inside the bracket you will get
[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]
[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
please help me out on this question
Answer:
the train won't always go the same distance each minute and for the second one its 4 minutes
Which graph represents the solution to the system of inequalities?
StartLayout Enlarged left-brace first row x squared + 4 y squared less-than 64 second row y greater-than 3 Superscript x EndLayout
Answer is D
Edge 2022
The answer is D :) YW!
find the volume of the prism
5.
Find the volume, of a cone with a radius of 3 yards and a height of 11 yards.
ANSWER: Solve for volume
V≈79.26m³
Two teenagers work summer jobs. The first teenager earns $20 an hour plus $55 in tips for each shift worked. The second teenager earns $25 per hour and receives no tips. Each teenager worked an 8 hour shift. Who earned more money: the first teenager or the second teenager?
Answer:
1 :
20×8=$160
160+55=$215
2:
25×8=$200
the first teenager earns more money after every shift
hope this helps you :D
what is 7.364.51 to 3 decimal places
Answer:
7.265
Step-by-step explanation:
Answer:
7.364
Step-by-step explanation:
Thats my answer.Brainliest
Find the probability. Round your answer to the nearest hundredth (two
decimal places)
A bag contains 3 red chips, 4 blue chips, 5 yellow chips, and 3 green chips.
You randomly choose a chip, and without replacing it, you randomly
choose another chip. Find the probability that you choose a yellow chip
on your first pick and a blue chip on your second pick.
Answer: yellow is 5/15 = 1/3
Blue chip is 4/14 = 2/7
1/3 × 2/7 = 2/ 21
Answer0.095 = 0.10
Step-by-step explanation:
Linda bought 2 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?
You roll a die 60 times how many times do you expect to roll a factor of 12
Answer:
Just for fun, the probability of rolling a die 60 times and getting no ones is
(600)(5/6)60=0.0018% .
Step-by-step explanation:
This 10 ones is the value with the highest probability of occurring. It has a probability of (6010)(1/6)10∗(5/6)50≈13.7% .
I need help with 19
Answer: 5/26
Step-by-step explanation:Hope this is helpful
Help I need the awnser asap
AABC = ADEF
B
C
E
F
Match BC to the corresponding part.
EF FD
ZE
Answer:
Is it not just EF?
Step-by-step explanation:
I mean BC is the bottom of the triangle so the corresponding part is just the other triangles bottom which is EF if it was just angle B it'd be just angle E but it's not it's both B and C so it's E and F
Calculate the median of the data set below. {0.3, 1.5, 3.8, 2.6, 1.5, 9.1, 4.2, 3.8, 1.5, 2.9} A. 3.8 B. 3.35 C. 2.75 D. 2.5
Answer:
2.75
Step-by-step explanation:
0.3,1.5,1.5,1.5,2.6,2.9,3.8,3.8,4.2,9.1
(smaller to greater)
middle of this is 2.6 and 2.9
so, 2.6+2.9=5.5
now we divide it by 2
so, 5.5/2=2.75
Which expressions are equivalent to 42-5? Choose all the correct answers. Show your work in arriving at your answers.
Answer:
B, C, E
Step-by-step explanation:
Exponent Rules
[tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex]\dfrac{1}{a^b}=a^{-b}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]
[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]
[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]
[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]
[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]
[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]
Check one by one
#A
[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]
#B
[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]
#C
[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]
#d
[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]
#e
[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]
#f
[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]
[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]
[tex]\\ \rm\Rrightarrow 42^5[/tex]
HELP PLSS
Select all of the expressions that are equivalent to 7c.
A c + 3(c + c)
B 2(c + c) +c
C 3c + 4c + c
D 2c + 4c + c
E c (2c + 2c)
D 2c + 4c + c
Step-by-step explanation:Collect Coefficients of like terms
[tex](2+4+1)\times c[/tex]
__________________________________________________
Calculate the sum or difference
[tex]7c[/tex]
__________________________________________________
Determine true/false
[tex]Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:[/tex]
[tex]True[/tex]
I hope this helps you
:)
Please help me! No bots or trolls please!
Answer:
part: 17 players = 1/4
whole: 68 players in all
percent: 17 players = 25%
Step-by-step explanation:
We'll use p as a variable for the total players, alright?
So, 25% of p usually gets called back.
This season, 17 is 25% of p OR you might say 17 = 1/4 of p
in other words, p/4 = 17
multiply each side by 4 (to get the variable alone)
p = 17 * 4
p = 68
______________
part/whole = percent/100
SUBSTITUTE!
17/68 = 25%
check!
(simplify) 1/4 = 25% true!
what is the substance of 0.03 in scientific notation
Answer:
3x10 to the power of -2
Step-by-step explanation:
0.03=3x0.01
0.01=10 to the power of -2
Please help! Question is below!
Answer:
28.3 ft²
Step-by-step explanation:
Area = πr²
A = π × 3²
A = 28.2743339 = 28.3 ft²
What is the surface area of the cube below?
Answer:
I dont see a cube but...
Step-by-step explanation:
A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.
A=6a2
Bella is building two wigwams for a school project on american indian tribes. she first builds two wooden frames, each in the shape of a cone with a base radius of 2 feet and a slant height of 5 feet. if bella wants to cover the frames in fabric, how many square feet of fabric will she need? (use 3.14 for pi and round to the nearest whole number. recall the formulas l a = pi r l and s a = pi r l pi r squared.) square inches
The amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 88 ft².
What is the surface Area of a Cone?Surface area of a cone = πr² + πrl
Given the following dimensions of the cone-shaped wooden frame:
Slant height (l) = 5 feetRadius (r) = 2 feetAmount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 2(πr² + πrl)
= 2(3.14 × 2² + 3.14 × 2 × 5)
= 87.92
Amount of fabric needed ≈ 88 ft²
Learn more about surface area of a cone on:
https://brainly.com/question/10506554
Answer:
88
Step-by-step explanation: