Circumference of the circle = 88 cm
π = 22/7
To Find:The Diameter of the circle.
Formula:Circumference of circle = 2πr
r = radius
Solution:Circumference of the circle = 2πr = 88 cm
Circumference of the circle = πr = 88/2 = 44 cm
Circumference of the circle = r = 44 × 7/22 = 14 cm
r (radius) = 14 cm
d (diameter) = 2r = 2(14) = 28 cm
Answer:Diameter of the circle = 28 cm
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.
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]
For more information refer to the link given below
https://brainly.com/question/24753075
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
Which equation has a graph that is a parabola with a vertex at (5, 3)?
Answer:
y = a(x² - 10x + 25) + 3
Step-by-step explanation:
From standard form of an equation, of a parabola, we have;
y = a(x - h)² + k
We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)
Thus;
y = a(x - 5)² + 3
y = a(x² - 10x + 25) + 3
Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;
y = a(x² - 10x + 25) + 3
Answer:
A. y = (x - 5)2 + 3
Step-by-step explanation: edge2021
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an Aon the test, and 35% of the class are
girls and scored an A on the test.
If a student is chosen at random and is found to be a girl, the probability that the student scored an Als
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
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.
The zookeeper needed a new uniform for work. He bought his hat for $26.92, his shirt for $54.73, and his pants for $33.28. How much did he spend?
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.
The string that produces the lowest tone on a piano vibrates 87 times in 3 seconds. How many times would this string vibrate in 12 seconds?
Answer:
21.75
Step-by-step explanation: 87 x 3 * 12
Compare using >, <, or =
3,219 and 9,003
Answer:
9,003 > 3,219
Step-by-step explanation:
9,003 is larger than 3,219
An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height 2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.
A. What is the probability that a randomly selected adult is either overweight or obese?
B. What is the probability that a randomly selected adult is neither overweight or obese?
C. Are the events "overweight and "obese" exhaustive?
Answer:
(A) The probability that a randomly selected adult is either overweight or obese is 0.688.
(B) The probability that a randomly selected adult is neither overweight nor obese is 0.312.
(C) Yes, the events "overweight" and "obese" are exhaustive.
Step-by-step explanation:
We are given that an adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater.
According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.
Let the event , A = a person is overweight
B = a person is obese.
So according to the question;
The probability that an adult population in the United States is overweight = P(A) = 0.331
The probability that an adult population in the United States is obese = P(B) = 0.357
(A) As we know that the events of a person being overweight or obese cannot occur together.
This means P(A ∩ B) = 0.
Now, the probability that a randomly selected adult is either overweight or obese is given by = P(A [tex]\bigcup[/tex] B)
P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A ∩ B)
= 0.331 + 0.357 - 0
= 0.688
Hence, the probability that a randomly selected adult is either overweight or obese is 0.688.
(B) Now, the probability that a randomly selected adult is neither overweight nor obese is given by = P(A' [tex]\bigcup[/tex] B')
P(A' [tex]\bigcup[/tex] B') = 1 - P(A [tex]\bigcup[/tex] B)
= 1 - 0.688 = 0.312
Hence, the probability that a randomly selected adult is neither overweight nor obese is 0.312.
(C) Exhaustive events are those events which cannot occur together, but they form a sample space when combined together.
In our question also, the person can't be both overweight and obese at the same time, and together the event of a person being overweight or obese forms a sample space of people who are heavier.
Hence, the events "overweight" and "obese" are exhaustive.
A- 0.688.
B- 0.312.
C- yes
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.
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]
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 :(
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.
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
A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10?
a.) $46.25
b.) $36.25
c.) $56.25
d.) $26.25
Answer:
D: $26.25 I just took the assessment and got it right
What percent of 821 is 25?
Answer:
%3.05
Do 25/821 and you should get around 3.05
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.
I’m not sure if my answer correct. If you can please help me.
=====================================================
Explanation:
We cannot divide by zero.
To figure out when the expression is undefined, set the denominator equal to zero and solve for z.
The quadratic formula is the best route in my opinion.
[tex]6z^2+14z-80 = 0\\\\z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-14\pm\sqrt{14^2-4(6)(-80)}}{2(6)}\\\\z = \frac{-14\pm\sqrt{2116}}{12}\\\\z = \frac{-14\pm46}{12}\\\\z = \frac{-14+46}{12} \ \text{ or } \ z = \frac{-14-46}{12}\\\\z = \frac{32}{12} \ \text{ or } \ z = \frac{-60}{12}\\\\z = \frac{8}{3} \ \text{ or } \ z = -5\\\\[/tex]
Plugging in either z = 8/3 or z = -5 leads to the the denominator 6z^2+14z-80 to be zero. So either of these z values makes the given rational expression to be undefined.
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.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
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.
what is the length of pr
Answer:
Answer: C. 6
Trust
Carlos is two-thirds of his grandfather's height. If his grandfather is 6 feet tall, how tall is Carlos?
Answer:
4 feet
Step-by-step explanation:
please help me with this
Answer:
The answer would be C
Step-by-step explanation:
In order to do this. We have to add the exponents if they are in this form
6^2*6^2
Multiply the exponents if it is in this form
(6^16)^28
Subtract the exponents if it is in this form
2^9/2^4
please mark brainliest
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:
geratgertregd hifbuwegftyfvjhwdgfuyguawebbfigigaibahg87ehrbguv bhrbguyghu
Answer:
Whaaaa?
Step-by-step explanation:
lol ;)
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:
