A side of the triangle below has been extended to form an exterior angle of 128. Find the value of x.
Answers
Answer:
52°
Step-by-step explanation:
Linear pair: If the non-common arms of two adjacent angles from a line, then they are called linear pair and they add up to 180.
x + 128 = 180 {linear pair}
x = 180 - 128
x = 52°
Related Questions
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Answers
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time. The reason for the difference is that you considered that only 3 balls would be drawn, and not 20.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, the parameters are given as follows;
N = 60, k = 3, n = 20.
You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
#SPJ1
x= -1 is a solution of 5x-8 =-15 -2x
Answers
Answer:
True
Step-by-step explanation:
a take away 19
answer correctly for brainliest
Answers
Answer:
A - 19
Step-by-step explanation:
correctly
What is the slope of the line that passes through the points (–20, 18) and (30, 14)? Negative StartFraction 25 Over 2 EndFraction Negative five-halves Negative two-fifths Negative StartFraction 2 Over 25 EndFraction.
(100 Points)
Answers
Answer: Negative Start Fraction 9 over 4 EndFraction divided by (negative two-thirds)
or
-9/4 / -2/3
which is basically d if your confused
Step-by-step explanation:
Took the test and got it right
Answer:
The answer is D. 2 Over 25
Step-by-step explanation:
Does 400000 equal 4*10 to 6 power
Answers
Answer:
yes!
Step-by-step explanation:
Answer:
No.. 4×10^6 is 4000000
..........
If car A travels a distance of 200 miles in 5 hours and car B travels a distance of 250 miles
in the same time, which car is moving faster?
Answers
car B is moving faster in the same time
This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!
Answers
Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
Plz HELP BRAINLIEST IF CORRECT IM KINDA IN A RUSH PLZ HELP ;)
Answers
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Answer:
0.5
Step-by-step explanation:
Since 1.5 quarts are required for 3 quarts you need to divide 1.5 and 3.
1.5 ÷ 3 = 0.5
The following is a listing of the amount of sugar in six popular snacks found on a high school campus:
34g 34g 42g 50g 52g 58g
What is the median?
Answers
Answer:
The median is 46 g
Step-by-step explanation:
The median of a data set is the middle value. Since there are six snacks, which is an even number, you can't pick out a single middle value. Instead, to get the middle value you have to add the middle 2 numbers together and then divide them by 2 for the median.
Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
O As the x-values go to zero, the function's values go
O As the x-values go to negative infinity, the function's
O As the x-values go to positive infinity, the function's
values go to negative infinity.
to positive infinity.
values are equal to zero
values go to positive infinity.
Answers
The answer is the last choice.
When x approaches positive infinity, the value of f(x) will also approach positive infinity too.
Notice how we substitute x in the equation with any positive numbers and we will get high f(x) value as the sign of positive infinity approach when x approaches positive infinity.
Solve for x in the triangle
Answers
explanation: since the triangle is a right angle, that means it is 90 degrees, so if you subtract the 41 degrees from 90 you get 49.
Write each polynomial equation in standard form then determine
its degree:
x(x2 - 4x + 3) = 0
Answers
Answer:
x(x2 - 4x + 3) = 0
Step-by-step explanation:
Standard form:
x3 − 4x2 + 3x = 0
Factorization:
x(x − 1)(x − 3) = 0
x1 = 0
x2 = 1
x3 = 3
i hope helps you
what is the value of x in the equation?
20x- 40 = 20
Answers
20x = 60
Divide by 20
Answer: x = 3
Answer:
x=3
Step-by-step explanation:
20x-40=20
20x=20+40
20x=60
x=3
Hope this helps plz hit the crown ;D
100 points if you can get this correct what is the 10nth of 800 then what is the 800th of the tenth score that=43565
Answers
Answer:
43565?
what kind of math is this?
Step-by-step explanation:
Answer:
76970
Step-by-step explanation:
An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded
continuously. How much will the account be worth after 20 years
Answers
Answer:
$27,710.24
Step-by-step explanation:
You want to know the value of $6500 earning 7.25% interest compounded continuously for 20 years.
Continuous compoundingThe formula for the amount in an account earning interest at rate r compounded continuously is ...
A = P·e^(rt)
where P is the principal invested at rate r for t years.
Your amount is ...
A = $6500·e^(0.0725·20) = $6500·e^1.45 ≈ $27,710.24
The account will be worth about $27,710.24 after 20 years.
A packaging factory fills 450 LB of dry dog food into bags that hold 40 LB each how many Full bags will the factory pack
Help me pls
Answers
Help meeeeeeeeereeeeeeeeeeeeeeeeeeeeeee
Answers
but i’m not sure cause i’m not learning what your learning.
Which is the equation of the line that contains the points (-1, -5) and (2,1)
Answers
Answer:
y=2x-3
Step-by-step explanation:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
Answer:
y=2x-3
Step-by-step explanation:
Three limes weigh 4.28 ounces,4.82 ounces and 2.85 ounces.What is the difference between the weight of the heaviest lime and the lightest lime,Show your work
Answers
Answer:
The difference is 1.43oz.
Step-by-step explanation:
4.28 - 2.85 is 1.43.
WILL GIVE BRAINLEST PLZ HELP MEEE I HATE MATH
Answers
,no.4, is the number line to shows the value of (X)
Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
Answers
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
.2(.7x-5)+0.2=1.4(x-1.6) . . . . given
Eliminating parentheses, we have ...
0.14x -1 +0.2 = 1.4x -2.24
1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides
x = 1.44/1.26 . . . . . . divide by the coefficient of x
x = 8/7 . . . . . . . . . . .simplify the fraction
__
As a repeating decimal, the value of x is ...
[tex]x=1.\overline{142857}[/tex]
However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)
_____
Additional comment
The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.
Answer:
the answer is x=8/7
Step-by-step explanation:
:)))
The Knutson Corporation needs to save $15 million to retire a(n) $15 million mortgage that matures in 10 years. To retire this mortgage, the company plans to put a fixed amount into an account at the end of each year for 10 years. The Knutson Corporation expects to earn 10 percent annually on the money in this account. What equal annual contribution must the firm make to this account to accumulate the $15 million by the end of 10 years?
Answers
Answer: 941,180.92
Step-by-step explanation: sorry if it is wrong.
Mark has $5,272.56 in an investment account. On Monday, the account earned $26.74. On Tuesday, the account lost $38.63.
What is the value of Mark's investment account after Tuesday?
Answers
5,260,67 because I used the calculator
write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)
Answers
Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
A liquid is poured into a container in the shape of a right circular cone with a radius of 4m and height of 16m. What is the volume as a function of height?
Answers
Answer:
Approximately 268
Step-by-step explanation:
The formula for the volume of circular cone is:
v= 1/3[tex]\pi r^{2}[/tex]h Plug in what we know and solve.
v = 1/3[tex]\pi[/tex][tex](4)^{2}[/tex]16
v = 1/3[tex]\pi[/tex](16)(16)
v = 268.0825731063 Round to the nearest?
Explain how to find 27% of 16 using multiplication by
decimal. Then explain how to use estimation to chec
your answer.
Answers
Answer:
4.32
Step-by-step explanation:
You can multiply 16 by 0.27 to get the answer.
16*0.27=4.32
You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.
Answer:
4.32
Step-by-step explanation:
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
Convert 27% to the equivalent decimal 0.27.
Multiply 16 by 0.27 to get 4.32.
Use estimation to check the answer by choosing the friendly percent 25%.
25% of 16 is equal to 16 ÷ 4 = 4. So the answer is reasonable.
I WILL GIVE BRAINLIST IF THE ANSWER IS RIGHT
state of these are like terms or a pair of terms
-6x, 10x
3y,6z
1/4k, 0.5k
Answers
Answer:
Pair of terms
Step-by-step explanation:
During a particular football game, the Chicago Bears made 17, 3, -6, 32, -11 yards. What was the total gain or loss made by the team? Please indidate whether it was a gain or loss along with the yards. (Note a positive number would be a gain and a negative number would be a loss
Answers
Answer:
Step-by-step explanation:
1. The vapour density of ethyl alcohol vapour is (C,H,OH)
D 22
Answers
Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 67 to 75
Answers
Answer:
Increase 11.94 %
Step-by-step explanation: