Answer:
The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)
Step-by-step explanation:
Distance Between Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
It can be also expressed as:
[tex]d^2=(z-y)^2+(w-x)^2[/tex]
Substituting the values of both points, and knowing the distance is 10:
[tex]10^2=(6-(-2))^2+(x+17)^2[/tex]
[tex]100=8^2+(x+17)^2[/tex]
Swapping both sides:
[tex]64+(x+17)^2=100[/tex]
Moving the constants to the right side:
[tex](x+17)^2=100-64=36[/tex]
Taking the square root:
[tex]x+17=\pm 6[/tex]
We get two possible answers:
[tex]x=-17-6=-23[/tex]
[tex]x=-17+6=-11[/tex]
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
Use the binomial probability
distribution below to find the
probability that the number of successes is at most five.
x P(x)
00.000
10.004
2 0.033
3 3 0.132
40.297
50.356
6 0.178
===================================================
Method 1
Add up the P(x) values from x = 0 to x = 5
0.000+0.004+0.033+0.132+0.297+0.356 = 0.822
-----------------------------------------
Method 2
If A and B are complementary events, then P(A)+P(B) = 1 and that leads to P(B) = 1-P(A).
We can think of the events defined as follows
A = event of getting at most 5 (ie 5 or less)B = event of getting 6Either A or B must happen, but not both simultaneously
P(B) = 0.178 from the table
P(A) = 1-P(B)
P(A) = 1-0.178
P(A) = 0.822
which is a shortcut compared to method 1. It's a much faster shortcut the larger the table is.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)?
commutative property
Use the interactive tool to evaluate the expression?
Answer is 5
Answer:
Commutative property
5
Step-by-step explanation:
The identity used in equation (-2) + 6 + 1 = 1 + 6 + (-2) is commutative property.
Given,
To Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
commutative property
In mathematics, it deals with numbers of operations according to the statements.
Commutative property
The commutative property procedure applies to addition and multiplication. The addition procedure says that a + b = b + a and the multiplication procedure states that a x b = b x a. These procedures are used to define the notion that when adding or multiplying, values can “commute”, or resettle, and the outcome will not change.
Given equation,
(-2) + 6 + 1 = 1 + 6 + (-2)
Which shows the resettlement of -2, which does not affect the outcome of the equation. This is commutative property.
Thus, the identity used in equation (-2) + 6 + 1 = 1 + 6 + (-2) is commutative property.
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geratgertregd hifbuwegftyfvjhwdgfuyguawebbfigigaibahg87ehrbguv bhrbguyghu
Answer:
Whaaaa?
Step-by-step explanation:
lol ;)
help me out please
Answer:
[tex]\huge\boxed{\text{(D)} \ 2.25}[/tex]
Step-by-step explanation:
In order to find another way to represent the fraction [tex]2 \frac{1}{4}[/tex], we need to find different ways to represent fractions as a whole. One way to write fractions are as decimals.
We know that 2 as a decimal is just 2. We can leave that be for now.
We also know that [tex]\frac{1}{4}[/tex] as a fraction will just be [tex]1 \div 4[/tex], which is 0.25. Therefore, combining 2 and 0.25 we get 2.25.
Hope this helped!
PLEASE HELP ME!! What is 3,200 as a product of its factors?? This for 6th grade
Answer:
3,200 is first divided by 2 which is smallest prime number . Then the answer is get 1,600 . Again this number is divided by 2 then answer is 800 . This step is continues for all time . So , it is again divided by 2 then answer comes 400 then divided answer comes 200. Then again divided by 2 then answer is 100 and again divided by 2 then answer is 50 again divided by 2 then answer is 25. now we cannot divided by 2 this number 50. Then what to do? we have to use prime number .so we have to divided by 5 then answer is 5. In last ,for checking we have to multiply all this prime number to check this answer.
Mr. Arnold drives 130 miles round trip to work 5 days a week. Write and solve an equation to find how many miles he drives in 60 work days. O A. 130 x 5 x 60 = 34,000 miles OB. 130 x 60 : 5 = 136 miles O C. 130 x 60 = 68,000 miles OD. 130 x 60 7,800 miles
Answer:
The answer is D.
Step-by-step explanation:
130 x 60 = 7,800 miles. you don't need the extra information "5 days a week" to solve the problem.
The equation is y = 26x and the number of miles he drives in 60 work days will be 1560 miles. Then the correct option is B.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Mr. Arnold drives 130 miles round trip to work 5 days a week.
Let x be the number of weeks and y be the total number of miles. Then the equation is given as,
y = 130x
y = 26x
Then the number of miles he drives in 60 work days will be
y = 26 (60)
y = 1560 miles
The equation is y = 26x and the number of miles he drives in 60 work days will be 1560 miles. Then the correct option is B.
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slope -2 passes through (-3,14)
Answer:
y = − 2 x + 8
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
Use the formula for the equation of a line to find b .
y = m x + b
Substitute the value of m into the equation.
y = ( − 2 ) ⋅ x + b
Substitute the value of x into the equation.
y = ( − 2 ) ⋅ ( − 3 ) + b
Substitute the value of y into the equation.
14 = ( − 2 ) ⋅ ( − 3 ) + b
Find the value of b .
Rewrite the equation
( − 2 ) ⋅ ( − 3 ) + b = 14 .
Multiply − 2 by − 3
6 + b = 14
Subtract 6 from both sides of the equation.
b = 14 − 6
Subtract 6 from 14 .
b = 8
Now that the values of
m (slope) and b (y-intercept) are known, substitute them into y = m x + b to find the equation of the line.
y = − 2 x + 8
Select all of the following expression that result in rational number
Answer:
the answer is only A (I think so...)
Classify the system of equations.
-3x = 3 - y
-1+y= 3x – 2
A. Intersecting
B. Parallel
C. Coincident
============================================================
Explanation:
Solve each equation for y. In other words, get y by itself
Let's start with the first equation
-3x = 3 - y
-3x - 3 = -y
-y = -3x-3
y = 3x+3
Do the same for the second equation
-1+y = 3x-2
y = 3x-2+1
y = 3x-1
The two equations we got were
y = 3x+3
y = 3x-1
Both have the same slope (m = 3) but different y intercepts, so we have parallel lines here.
what is the length of pr
Answer:
Answer: C. 6
Trust
Could someone answer this?
Answer:
Yes
Step-by-step explanation:
Each inch equals 15 ft of the actual length. If the dimensions are 2in. by 1 1/2in. then you multiply each number by 15 to get the length in feet. You will get 30 by 25. There will be just enough room one one side, with plenty of room on the other.
Jason ordered 239,021 pounds of flour to be used in his 25 bakeries . The company
Delivered the flour showed up with 451,202 pounds how many extra pounds of flour
Were delivered
So, it says that he ordered 239,021 pounds of flour, but they delivered 451,202 pounds. You are going to subtract the delivered amount to the ordered amount.
451,202 - 239,021 = _________
_________ = The Extra Amount Delivered
451,202 - 239,021 = 212,181
That means, that they had delivered 212,181 extra pounds of flour.
5/8 of 24 is equal to 15/7 of what number?
Answer:
fddsdfsd
Step-by-step explanation:
sesfdf
The Center for Information and Research on Civic Learning and Engagement (CIRCLE), an independent youth research organization, reported that 49% of all U.S. adults age 18 to 29 voted in the 2012 presidential election. We believe that a higher proportion of community college students plan to vote in the 2016 presidential election. H0: 49% of community college students plan to vote in the next presidential election. Ha: More than 49% of community college students plan to vote in the next presidential election. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is approximately 0.01. At a significance level of 0.05, what can we conclude
Answer:
The evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
Step-by-step explanation:
Given that:
The null hypothesis is:
[tex]H_o : \mu = 49 \%[/tex] of community college students plan to vote in the next presidential election.
[tex]H_a : \mu > 49\%[/tex] of community college students plan to vote in the next presidential election.
sample size = 650
sample proportion = 0.54
P-value = 0.01
Level of significance = 0.05
Decision Rule: To reject the null hypothesis if the p-value is lesser than the level of significance.
Conclusion: We reject the null hypothesis and conclude that the evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
Carla can fill 555 glasses with soda every 202020 seconds.
Complete the table using equivalent ratios.
Glasses Seconds
555 202020
121212
4444
Answer:
[tex]\left[\begin{array}{ccc}5&20\\12&48\\4&16\end{array}\right][/tex]
Step-by-step explanation:
Carla can fill one glass in 4 seconds
The Ride for Health Bicycle Club has chosen a 60-mile course for this Saturday's ride. If the riders plan on averaging 15 mph while they are riding, and they have a 2-hour lunch break planned, how long will it take them to complete the trip?
Answer:
6 hours
Step-by-step explanation:
Total time it will take to complete the trip = Total time spent on riding + Time taken for lunch break.
Distance to be covered = 60 miles.
D = 60
Speed of riding = 15 miles per hour
S = 15
Thus time taken to cover a distance 60 miles by riding at a speed of 15 mph:
T=D/S=60/15
T= 4hours
They will spend 4 hours on riding and 2 hour of lunch break.
Hence total time taken to complete the trip = 4 + 2 = 6 hours.
It will take 6 hours to complete the trip.
The number of hours taken by riders to complete the trip is 6 hours.
Given that, distance = 60 mile, speed = 15 mph and lunch break = 2 hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed formula Speed=Distance/Time
Here, 15 = 60/Time
⇒ Time = 60/15
= 4 hours
Total time taken in the trip is 4+2 = 6 hours
Hence, the number of hours taken by riders to complete the trip is 6 hours.
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In Oak Hill, Florida, 90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days. A local hotdog vendor makes, on average, $300 on sunny days and $100 on cloudy days. Assume you want to build a Markov model that you can use to answer questions b., c., d., and e. below. a. Define the states of the system and give the one-step transition probability matrix. b. If today is sunny, what is the probability it is sunny 5 days from now
Answer:
a) Sunny Cloudy
T = [ 0.9 0.2 ] Sunny
[ 0.1 0.8 ] Cloudy
b) 0.72269
Step-by-step explanation:
Given that;
90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days;
i.e if today is sunny (90%), the next day is sunny so its 10% cloudy
and if today is cloudy (80%), the next day is cloudy so its 20% sunny
a)
Now let T be the transition probability matrix which is expressed as;
Sunny Cloudy
T = [ 0.9 0.2 ] Sunny
[ 0.1 0.8 ] Cloudy
b)
If today is sunny, to find the probability that it will be sunny in 5 days from now = P^5.x where x = [ 1 ] sunny
[ 0 ] cloudy
so
p^5X = P.P.P.P.P.x
P.x = [ 0.9 0.2 ] [ 1 ] = [ 0.9 ]
[ 0.1 0.8 ] [ 0 ] [ 0.1 ]
(P^2).x = [ 0.9 0.2 ] [ 0.9 ] = [ 0.83 ]
[ 0.1 0.8 ] [ 0.1 ] [ 0.17 ]
(P^3).x = p(p^2)x = [ 0.9 0.2 ] [ 0.83 ] = [ 0.781 ]
[ 0.1 0.8 ] [ 0.17 ] [ 0.219 ]
(P^4).x = p(p^3)x = [ 0.9 0.2 ] [ 0.781 ] = [ 0.7467 ]
[ 0.1 0.8 ] [ 0.219 ] [ 0.2533 ]
(P^5).x = p(p^4)x = [ 0.9 0.2 ] [ 0.7467 ] = [ 0.72269 ]
[ 0.1 0.8 ] [ 0.2533 ] [ 0.27731 ]
so (P^5).x = [ 0.72269 ] sunny
[ 0.27731 ] cloudy
therefore the probability that it is sunny 5 days from is 0.72269
Multiply. Simplify your answer and write it as a mixed number. 6* 3/5
Answer: 3 3/5 please let me know if this answer is wrong :(
If it costs 1.85 dollars to rent 3 books at the library, how much would cost to rent 51
books?
sorry don't know....
follow me and make me as brilliest......What's something that could go wrong if you use numbers that are not precise?
Answer:
There are a lot of things that can go wrong, especially when we have an error in a measure that we use a lot of times (each time, that error increases).
For example, you think that each meter of fence costs $5, but the actual price is $5.30, and you need 40 meters, then you think that you may need to pay:
40*$5 = $200
But they will actually charge you:
40*$5.30 = $212.
Now this is a small example, now let's go to medicine, suppose that you want to trait cancer with radiation in a pacient, if you do not use precise measures for the dosage of radiation or the measures of the tumor, you may cause a lot of damage in the patient. (And similar cases if you want to give some medication and the numbers that you use are not precise, you may overdose the patient)
So the use of precise numbers may be critical in a lot of scenarios.
CD is formed by C(-5, 9) and D(7,5). If line
t is the perpendicular bisector of CD, write a
linear equation for t in slope-intercept form
Answer:
y - 3x = 10
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as;
y - y0 = m(x-x0) where;
m is the slope of the unknown line
(x0, y0) is any point on the line.
First is to get the slope.
Given CD is formed by C(-5, 9) and D(7,5)
m = y2-y1/x2-x1
m = 5-9/7+5
m = -4/12
m = -1/3
Since the line t is perpendicular to CD, the product of their slope will be -1.
mM = -1
M = -1/(-1/3)
M = 3
Substituting M = 3 and the midpoint of (7, 5) and (-5, 9 )into the formula above to get the equation of the line.
Midpoint of the line = (x1+x2/2, y1+y2/2)
M = (-7+5/2, 5+9/2)
M = (-2/2, 14/2)
M = (-1, 7)
Hence x0 = -1 and y0 = 7
Since y - y0 = m(x-x0
Equation becomes;
y-7 = 3(x+1)
y-7 = 3x+3
y-3x = 3+7
y - 3x = 10
Hence a linear equation for t in slope-intercept form is y-3x = 10
The Equation of perpendicular bisector t = [tex]y = 3x +4[/tex]
Given Line CD is formed by points C(-5, 9) and D(7,5) hence it passes through these two points
Let the slope of this line is m
The Slope of line passing through C and D points is given by [tex]m[/tex]
So
[tex]m = (y_2-y_1) /(x_2-x_1)[/tex].....(1)
[tex]m = (5-9)/(7-(-5)) = -1/3.......(2)[/tex]
Given that [tex]t[/tex] is perpendicular bisector of CD
Let the slope of t = [tex]m_t[/tex]
The product of slopes of two perpendicular lines is -1
hence
[tex]m \times m_t = -1........(3)[/tex]
so we can from equation number (2) and (3) we can write
[tex]m_t[/tex] = 3
Also t is the perpendicular bisector and hence it passes through the mid point of line CD hence the mid point of CD
[tex]Midpoint \; of\; line \; joining\; two\; points = ((x_1+ x_2)/2, (y_1+y_2)/2) .......(4)[/tex]
From equation 4 we can write that
Mid point of CD =
[tex]((-5 +7)/2, ( 9 +5)/2 ) = (1,7)\\[/tex]
The equation of perpendicular bisector t is given by equation (5)
[tex]y = 3x+c .........(5)[/tex]
also equation (5) is satisfied by the point (1,7)
hence we can write
[tex]7 = 3\times (1) +c \\ c = 4[/tex]
So the Equation of perpendicular bisector t = [tex]y = 3x +4[/tex]
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A test is used to determine if people have a predisposition for the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.99. The test is 98% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition
Answer:
The probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition is 0.6049.
Step-by-step explanation:
We are given that it is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has a predisposition.
The test is 98% accurate if a person does not have a predisposition.
Let the probability that people actually have predisposition = P(PD) = 0.03
The probability that people do not have a predisposition = P(PD') = 1 - P(PD) = 1 - 0.03 = 0.97
Let A = event that the test is accurate
So, the probability that the test is accurate if a person actually has a predisposition = P(A/PD) = 0.99
The probability that the test is correct if a person actually has a predisposition = P(A/PD') = 1 - 0.98 = 0.02
Now, the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/A)
We will use Bayes' theorem to calculate the above probability.
P(PD/A) = [tex]\frac{P(PD) \times P(A/PD)}{P(PD) \times P(A/PD) + P(PD') \times P(A/PD')}[/tex]
= [tex]\frac{0.03 \times 0.99}{0.03 \times 0.99+0.97 \times 0.02}[/tex]
= [tex]\frac{0.0297}{0.0491}[/tex] = 0.6049.
Every day, the number of network blackouts has a distribution (probability mass function) A small internet trading company estimates that each network blackout results in a 500 loss. Compute expectation and variance of this company’s daily loss due to blackouts.
Answer:
jeub42hg24h vhrj vjo24 ve4goj
Step-by-step explanation:
Consider the following 9 door version of the Monty Hall problem. There are 9 doors, behind one of which there is a car (which you want), and behind the rest of which there are goats (which you don’t want). 1 2 Initially, all possibilities are equally likely for where the car is. You choose a door. Monty Hall then opens 4 goat doors, and offers you the option of switching to any of the remaining 4 doors. Assume that Monty Hall knows which door has the car, will always open 4 goat doors and offer the option of switching, and that Monty chooses with equal probabilities from all his choices of which goat doors to open. Should you switch? What is your probability of success if you switch to one of the remaining 4 doors?
Answer:
The probability of success if you switch to one of the remaining 4 doors is
[tex]P(K) =\frac{4}{9}[/tex]
Step-by-step explanation:
From the question we are told that
The number of doors is n = 9
Generally the probability that the car is in the door you choose is
[tex]P(C) = \frac{1}{9}[/tex]
Generally the probability that the car is in the rest of the doors is
[tex]P(C)' = \frac{8}{9}[/tex]
Given that Monty Hall opened the 4 goat doors then the probability that the car will be in the remaining 4 doors is mathematically evaluated as
[tex]P(K) = \frac{P(C)'}{2}[/tex]
=> [tex]P(K) = \frac{\frac{8}{9}}{2}[/tex]
=> [tex]P(K) =\frac{4}{9}[/tex]
Thus the probability of success if you switch to one of the remaining 4 doors is
[tex]P(K) =\frac{4}{9}[/tex]
Jacinda made 16 baskets during the basketball game. Greta made 4 baskets. The number of baskets Jacinda made is how many times more than the number of baskets Greta made? Choose the answer that has the correct equation AND the correct solution to the equation.
16x = 4; x = 64 times as many baskets
16x = 4; x = 4 times as many baskets
4x = 16; x = 4 times as many baskets
4x = 16; x = 3 times as many baskets
Answer:
Step-by-step explanation:
4 times more. 16 divided by 4=4
Answer:
B
Step-by-step explanation:
What is The product of -7 and -3, decreased by 6!?
Answer:
15
Step-by-step explanation:
(-7)(-3)-6
= 21 - 6
= 15
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/28/20 Time: 11:36
Answer:
-7 (-3) - 6
Explanation:
Product = Multiplication
Decreased = Subtract
Equation
-7 (-3) - 6
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
What is the value of x?
20
35
60
70
Answer:
X = 20
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
on edu 2020
If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Answer:
Step-by-step explanation:
It's given in this question,
m∠2 = 41°, m∠5 = 94° and m∠10 = 109°
Since, ∠2 ≅ ∠9 [Alternate interior angles]
m∠2 = m∠9 = 41°
m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]
m∠8 + 41 + 109 = 180
m∠8 = 180 - 150
m∠8 = 30°
Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]
41 + m∠7 + 30 = 180
m∠7 = 180 - 71
m∠7 = 109°
m∠6 + m∠7 = 180° [linear pair of angles]
m∠6 + 109 = 180
m∠6 = 180 - 109
= 71°
Since m∠5 + m∠4 = 180° [linear pair of angles]
m∠4 + 94 = 180
m∠4 = 180 - 94
m∠4 = 86°
Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]
86 + m∠3 + 41 = 180
m∠3 = 180 - 127
m∠3 = 53°
m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]
m∠1 + 41 + 53 = 180
m∠1 = 180 - 94
m∠1 = 86°
From the information and diagram shown, the following are true;
m<2 = m<9Since m<2 is 41 degrees, hence m<9 is 41 degrees
Also, m<7 = m<10 (corresponding angles) =109 degreees
m<6 + m<7 = 180
m<6 = 180 - 109
m<6 = 71 degrees
m<4 + m<5 = 180
m<4 = 180 - 94
m<4 = 86 degrees
m<1 = m<4 (corresponding angles) = 86 degrees
m<8 + m<2 + m<7 = 180
m<8 + 41 + 109 = 180
m<8 = 180 - 150
m<8 = 30degrees
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What is the quotient two 1/5÷-1/10
Answer:
- 2
Step-by-step explanation:
Step 1:
1/5 ÷ - 1/10 Equation
Step 2:
1/5 × - 10/1 Flip Fraction
Answer:
- 2 Multiply
Hope This Helps :)
You can talk on the phone y minutes on day x of month according to the equation y=2x+1 the cell phone company clams you talked 12 minutes on the phone on the fourth day of the mouth are they right
Answer: They are wrong
Step-by-step explanation: x is given a value in the problem. Since x equals 4, We plug x into the equation.
y = 2(4) + 1
Y is actually equal to 9 minutes, not twelve.