Answers
Answer:
X=21 and Y=121
Step-by-step explanation:
With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.
To solve this problem algebraically we want to add (3x-4) and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like [tex]3x+6x-5-4=180[/tex]. We then want to add like terms which will leave us with [tex]9x-9=180[/tex]. Now we want to get 9x by itself by adding 9 on each side which leaves us with [tex]9x=189[/tex]. To isolate x we need to divide on each side by 9 which finally leaves us with [tex]x=21[/tex]
Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: [tex]y=6x-5[/tex] and with the value of x found we can plug in the value to get [tex]y=6(21)-5[/tex] which simplifies to [tex]y=126-5[/tex] then to [tex]y=121[/tex].
Related Questions
does y= x squared represent a linear function
Answers
Answer:
no
Step-by-step explanation:
most probably a linear function. y = mx +b. what you have to notice here is the X, if the X has no exponents on it, then it is usually linear, but if the X is X squared or higher then it would not be a linear function.
evaluate f(x)=3x-6 when x=2 and x=-4
Answers
Answer:
Step-by-step explanation:
Plug in the x
f(2) = 3(-4)-6
2 = -12 - 6
2 = -18
What would make the following equation true?
5m+(2m+8)=__+8
Answers
Answer:
7m
Step-by-step explanation:
Answer: 7m
Step-by-step explanation: 5m + 2m = 7m, so 5m+2m+8 = 7m+8
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.
using Systems of Linear Equations with Three Variables
Answers
Answer:
KJslDKSLADJKLJALKJDLKDLKAsdmjklLkLKLKSLKSLKSKLSJSSJLKJLAJDJLDKJDLSJDLSAJALDLKASJLAS
Step-by-step explanation:
A hot air balloon was rising at a rate of 474 feet per minute (ft/min). convert this speed to meters per second (m/s).
Answers
HELP PLS I GIVE ALL MY MONEY
Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
Answers
Answer:
The range of C is :60≤C≤300
Now I need all your money like you said you would give me :)
Step-by-step explanation:
And i need brainliest
If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial
Answers
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 45° more than nbsp the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answers
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 15% of the time when the person does not have the virus. (This 15% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.
Answers
Answer:
a) P[A/B] = 0,019 or P[A/B] = 1,9 %
b) P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %
Step-by-step explanation:
Bayes Theorem :
P[A/B] = P(A) * P[B/A] / P(B)
The branches of events are as follows
Condition 1 real infection 1/300 and not infection 299/300
Then
1.- 1/300 299/300
When the test is done (virus present) 0,9 (+) 0,15 (-)
2.- 299/300
When the test is done ( no virus ) 0,15 (+) 0,85 (-)
Then:
P(A) = event person infected P(B) = person test positive
a) P[A/B] = P(A) * P[B/A] / P(B)
where P(A) = 1/300 = 0,0033 P[B/A] = 0,9
Then P(A) * P[B/A] = 0,0033*0,9 = 0,00297
P(B) is ( 1/300 )*0,9 + (299/300)*0,15
P(B) = 0,0033*0,9 + 0,9966*0,15 ⇒ P(B) = 0,1524
Finally
P[A/B] = 0,00297 /0,1524
P[A/B] = 0,019 or P[A/B] = 1,9 %
b) Following sames steps:
P[A- /B-] = (299/300) * 0,85 / (299/300) * 0,85 + (1/300 * 0,1)
P[A- /B-] = 0,8471 /0,8474
P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %
Please solve (X+2) 3 = (x-4) 5
Answers
Answer:
x= 13
Step-by-step explanation:
(X+2) 3 = (x-4) 5
distribute on both sides: 3x + 6 = 5x - 20
add 20 to both sides: 3x + 26 = 5x
subtract 3x from both sides: 26 = 2x
divide both sides by two: 13 = x
Answer:
x=13
Step-by-step explanation:
I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)
point slope form problem
Answers
Answer:
y+9=1/5(x+4)
Step-by-step explanation:
plug into the formula
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.a.What is the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards?b.What is the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card"
Answers
Answer:
a
[tex]P(X = 4 ) = 0.1876[/tex]
b
[tex]P(X \le 4) = 0.8358[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
[tex]X \ \ ~ Bin (n , p )[/tex]
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]
=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]
Here C stand for combination
=> [tex]P(X = 4 ) = 0.1876[/tex]
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]
=> [tex]P(X \le 4) = 0.8358[/tex]
Please help me ASAP help
Answers
PERCENTAGE of 7.50 OF ₹6
Answers
Answer:%80 or 0.8
Step-by-step explanation:
Total = 7.50
Part of 7.50 is 6
The percentage of 6 in 7.50 is 6*100/7.50
0.8* 100
80%
Or you could do it this way:
6/7.5
x10 on both
60/75
by 5 times
12/15
4/5
=0.8
HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!
Answers
Answer:
so
Step-by-step explanation:
the first goes 3rd
the 2nd goes 1
3rd goes 4
f (x) = (x + 5)^3(x - 9)(x + 1)
Answers
Answer:
F (x) = (x + 5)^3(x - 9)(x + 1) = 5
Step-by-step explanation:
Hope this helps! :)
Answer:
3
Step-by-step explanation:
edge
Simplify 16x^3 - 8x^2 + 4x^4 / 2x
A) 8x^2 - 4x + 2x^3
B) 8x^2 - 4 + 2x^3
C) 8x^3 - 4x + 2x^3
D) 8x^2 - 4x + 2x
Answers
Answer:
2 x ^3 + 8 x ^2− 4 x
Step-by-step explanation:
Just simplify!
What is the design of the following study? The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The researchers recorded the number of cans sold over a given period of time.
Answers
Answer:
Randomized design
Step-by-step explanation:
The researchers used a randomized design for this study. While designing a research experiment, we use a randomized design to study the effect that a major factor or a primary factor would have without having the need to use any unrelated or unnecessary variable. The question tells us that ten public buildings that have a coke machine and a Pepsi machine were selected for the study.
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answers
Answer:
This makes no sense as you dont say what type of triangle it is
Step-by-step explanation:
If its a equallateral its x = 89/7
solve for the variable. b^2 = 100
Answers
Answer:
b = ±10
or
b = -10, 10
Step-by-step explanation:
Step 1: Write equation
b² = 100
Step 2: Solve for b
Square root both sides: b = ±10Step 3: Check
Plug in x to verify it's a solution.
(-10)² = 100
(10)² = 100
Answer:
b=-10 or b=10
Step-by-step explanation:
They would both work because negative times negative is also positive so it would also work.
*someone deleted my answer to this question saying it was incorrect but it was correct :/
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.) .0074 (b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding? (Round your answer to two decimal places.) What is the standard deviation of the number of cars he would expect to watch? (Round your answer to two decimal places.)
Answers
Answer:
a
[tex]G = 0.007523 [/tex]
b
The number of cars the highway patrol officer would watch before a car that is seen is [tex]E(X) = 1.6027 [/tex]
The standard deviation is [tex]s = 0.9829 [/tex]
gg
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 71.5 \ miles/hour[/tex]
The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]
The speed limit is [tex] x = 70 \ miles /hour[/tex]
Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as
[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]
=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]
Here
[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]
So
=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]
From the z-table
[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]
So
[tex] p = P(X > 70) = 0.62392 [/tex]
Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as
[tex]q = 1 - p[/tex]
=> [tex]q = 1 - 0.62392 [/tex]
=> [tex]q = 0.37608 [/tex]
Generally the probability of getting 5 cars that are not speeding is mathematically represented as
[tex]G = q^5[/tex]
=> [tex]G = (0.37608)^5[/tex]
=> [tex]G = 0.007523 [/tex]
Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as
[tex]E(X) = \frac{1}{p}[/tex]
=> [tex]E(X) = \frac{1}{0.62392}[/tex]
=> [tex]E(X) = 1.6027 [/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]
=> [tex]s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]
=> [tex]s = 0.9829 [/tex]
The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.
The speed limit on this stretch of the freeway is 70 miles/hour.
Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;
[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]
From the z-table
[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]
Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be
q = 1 - p
q = 1 - 0.62392
q = 0.37608
Generally, the probability of getting cars that are not speeding will be
G = q⁵
G = 0.37608⁵
G = 0.007523
The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be
[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]
The standard deviation will be
[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Hello! Please help with this fill in the blank, thanks!
Answers
Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.
===================================================
Explanation:
If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB
Point A lands on point DPoint B lands on point CPoint C lands on point BNote how in the sequence ABC we have A first, B second, then C third
Then for the sequence DCB we have D first, C second, then B third
This order matters so we can pair up the points properly
A goes to D (A is first of ABC; D is first of DCB)B goes to C (B is second in ABC; C is second in DCB)C goes to B (C is third in ABC; B is third in DCB)A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.15−0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answers
The total distance travelled by the first and second hockey pucks before hitting the ground is 110 feet and 150 feet, respectively.
We are given that there are two hockey pucks.The height of the first hockey puck increases until it reaches a maximum height of 3 feet when it is 55 feet away from the player.This hockey puck will travel an additional 55 feet after it reaches its maximum height before it hits the ground.The total distance travelled by the first hockey puck before hitting the ground is 110 feet.The height y (in feet) of the second hockey puck is modelled by y=x(0.15−0.001x), where x is the horizontal distance (in feet).When it hits the ground, its height will be zero.0 = x(0.15−0.001x)x(0.15−0.001x) = 0A value of "x" is 0 when it is just hit by the player.When it hits the ground, the value of "x" is :0.15−0.001x = 00.001x = 0.15x = 150The total distance travelled by the second hockey puck before hitting the ground is 150 feet.To learn more about distance, visit :
https://brainly.com/question/15172156
#SPJ1
What is the slope of the line through points (8, -3) and (2, 1)?
Answers
Answer:
2/3
Step-by-step explanation:
1--3/2-8
=4/6
=2/3
Could someone help with this math??!
Answers
Answer:
1. what I the square root of negative 4
2. one is minusing the square root of 4
Which best describes the function represented by the table -2,-5 2,5 4,10 6,15
Answers
Answer:
Direct variation; k=5/2
Step-by-step explanation:
Edge quiz, got it right
Solve 3[-x + (2 x + 1)] = X – 1.
Х=
Answers
Answer:
x=-2
Step-by-step explanation:
8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *
Answers
which is an x intercept of the continuous function in the table -2, -10
Answers
Answer:
-10
Step-by-step explanation:
i
What is 15% of 90?
O 13.5
O 6
O 600
Answers
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
What number is 15% of 90?
The calculated percentage of the number 15% of 90 would be 13.5.
If this helps please mark brainliest.