Initial estimates of the probabilities of events are known as Prior Probabilities.
Prior Probabilities can be defined as the probability of the event before the event takes place.
For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333 .
Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.
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On Wednesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answerham=136
Step-by-step explanation:
ham=x,,cheese=3x....=544...4x=544 which makes x to be 136 which is the no of hamburgers
Benson was inspired after reading a book on the Boston Marathon and decided he wanted to become a runner. On his first day of running, he weighed 197 pounds. After just six months of running, he weighed 181 pounds. What is the absolute change in Benson's weight over the first six months of his running journey?
Answer:16
Step-by-step explanation:
subtract the old number by the new number
197-181=16
which point is the solution-2x +3y>1 -5x+6y..
A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
How to determine the point is the solution?The inequality expression is given as:
-2x + 3y > 1 - 5x + 6y
Collect the like terms in the above expression
So, we have:
3y - 6y > 1 + 2x - 5x
Evaluate the like terms in the above expression
So, we have:
-3y > 1 - 3x
Divide both sides by -3
y < -1/3 + x
Let x = 0
So, we have
y < -1/3
This means that a point in the solution is
(x, y) = (0, < -1/3)
-2/3 < -1/3
So, we have
(x, y) = (0, -2/3)
Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
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Select the correct answer. Which expression simplifies to 2√15
Answer:
√
30
Step-by-step explanation: Simply multiply
√
2
and
√
15
=
√
30
[Caution: If it were -2 and -15, this type of multiplication would not be correct.]
Sixteen identical circles are to be cut from a square sheet of fabric whose sides are 0.4 m long. Find the area of the leover fabric (to 2dp) if the circles are made as large as possible.
The left over fabric area is; 0.03 m²
What is the area of the circle?Now, if the radius of a circle is r, then the diameter is;
d = 2r
Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.
Thus, the height of the square will be the diameter of four circles.
Height of square = 4(2r) = 8r
Thus;
8r = 0.4
r = 0.4/8
r = 1/20 m
Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)
Left over fabric area = 0.03 m²
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John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John drove 235 miles in 5 hours. Then the speed of the John will be
Speed = 235 / 5
Speed = 47 miles per hour
If he continued at that same rate. Then the time to travel 376 miles will be given as,
47 = 376 / Time
Time = 376 / 47
Time = 8 hours
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
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Answer:8
Step-by-step explanation:
what are the next three terms of the sequence 1,11,22,34
Answer:
47, 61, 76
Step-by-step explanation:
1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.
help me with this please!
Using the function concept, we have that:
Items 1, 4, 5, 6, 8 and 10 are functions.Items 2, 3, 7 and 9 are not functions.When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For the relations that are not functions, we have that:
Relation 2: Suppose x = sqrt(5), then y = 2 or y = -2, that is, for each value of x, there are two values of y associated with it, hence it is not a function.Relation 3: Input 3 is associated with outputs 4 and 2, hence it is not a function.Relation 7: Input 9 is associated with outputs -18 and 17, hence it is not a function.Relation 9: Input 9 is associated with outputs -16 and 9, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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Which relation(s) is/are not a function?
A (-4, 6), (0, 6), (7, 6), (4, 6), (-3, 6)
B (6,-4), (6, 0), (6, 7), (6, 4), (6, -3)
C (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)
D (1, 4), (2, 8), (3, 12), (4, 16), (4, 20)
Answer:
B.
Step-by-step explanation:
B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.
Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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Rose, Bill, Jean, and Candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice
received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the
only seat number that is a prime number. Which seat number did Jean receive?
A .Jean received seat number 53.
B .Jean received seat number 64.
C .Jean received seat number 108.
D .Jean received seat number 216.
It should be noted that the seat number is C
Jean received seat number 108.
How to illustrate the information?It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.
Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.
Rose received the.only seat number that is a prime number. This is 53
Therefore, the remaining number is 108.
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how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
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For every 12 games Purdue wins in football, IU only wins 5. If Purdue wins 36 games, how many will IU win?
Answer:
15
Step-by-step explanation:
Purdue : IU
12 : 5
36 : x
cross multiply
36*5 = 12x
180 = 12x
180/12 = x
x = 15
Answer:
36/12= 3 so 5*3 would give you 15
Match each pair of inverse operations.
1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root
Marisol is buying cupcakes for her daughter's birthday party. she will need at least 2 cupcakes, but no more than 8. cupcakes at the local grocery store cost $3 each. the function p(c) = 3c represents the price of buying c cupcakes. what is the domain and range of the function?
The domain of the function is [2,8] while the range is [6,24].
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the function,
p(c) = 3c
Now since Marisol can buy at least 2 cupcakes, but no more than 8.
So,
2 ≤ c ≤ 8 will be the domain of the function.
And,
p(2) = 3(2) = 6
p(8) = 3(8) = 24
So the range is 6 ≤ p(c) ≤ 24.
Hence "The domain of the function is [2,8] while the range is [6,24]".
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Evaluate.
(-7) + (-14)=
Answer: -21
Step-by-step explanation: hope you have a good day
−7−14=−7+−14=−21
Factorise 6-x^2
will award brainliest to correct answer.
Answer:
the question should have something in between 6 and x
first person 2 answer will give u brainliest need to submit by 2 nite :)
Two angles are Complementary, if the measure of one of the angles is 66.7 degrees what is the measure of the other angle? Answer to the first decimal place, IE 79.5.
Answer:
probly 79.5
Step-by-step explanation:
i d k
11 and of 1/4 added to 3 and of 1/2
Answer:
11 1/4 + 3 1/2
45/4 + 7/2
(45+14)/4
59/4
14 3/4
Long division 1,755 divided by 27
Answer:
65
Step-by-step explanation:
How many seals would be needed to replace the ? And keep both sides balanced
Answer:
6 zebras
Step-by-step explanation:
Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6
Answer: x=6 y=6
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]
Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:
[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]
-5/6x-(x-1)=1/4(-x+80)
Answer:
x = - 12
Step-by-step explanation:
- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1
- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)
multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions
- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3
- 22x + 12 = - 3x + 240 ( add 3x to both sides )
- 19x + 12 = 240 ( subtract 12 from both sides )
- 19x = 228 ( divide both sides by - 19 )
x = - 12
What does the y-coordinate have to be for a point to be on the x-axis?
Step-by-step explanation:
If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.
What is 8÷424.4 ? show your work.
Answer:
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:
8 ⟌ 4 2 4
Step 2:
The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
8 ⟌ 4 2 4
Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.
0
8 ⟌ 4 2 4
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
8 ⟌ 4 2 4
- 0
4
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
8 ⟌ 4 2 4
- 0
4 2
Step 6:
The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:
0 5
8 ⟌ 4 2 4
- 0
4 2
Step 7:
Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:
0 5
8 ⟌ 4 2 4
- 0
4 2
4 0
Step 8:
Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.
0 5
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2
Step 9:
Move down the last digit of the dividend (4) like this:
0 5
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
Step 10:
The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
Step 11:
Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
2 4
Step 12:
Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
- 2 4
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 424 divided by 8 calculated using Long Division is:
53
0 Remainder
Step-by-step explanation:
Suppose+14%+of+the+listeners+of+a+radio+station+listen+to+it+while+they+are+at+work.+what+is+the+approximate+standard+deviation+of+the+sampling+distribution+of+the+proportion+for+samples+of+size+85?
The approximate standard deviation of the sampling distribution of the proportion is 3.8%.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.
Now, as per the questions;
Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:
σp = √( PQ/n)
We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.
P = probability of listening at work, is 14% or 0.14
Q = probability of not listening at work, is (100- 14)% = 86% = 0.86
N = sample size, is 85
The sample standard deviation is then
σp = √(14×.86/85)
σp = 0.0376
σp = 3.8% (approximately)
Therefore, the approximate vale of the standard deviation is found to be 3.8 %.
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The correct question is-
If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?
Please help!!!! The question and answers are in the photo!!!!
Answer: x=5
Step-by-step explanation:
|x + 2| = 7
|5 + 2| = 7
|7| = 7
|7| = 7
Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?
Solve for .
5x- 4 >_12
Choose 1 answer:
12x+ 5< _=-4
Answer:
x = 3.2 and No solution.
Step-by-step explanation:
5x - 4 = 12
5x = 12 + 4
5x = 16 (divide both sides by 5 to get x)
5x/5 = 16/5
x = 3.2
–––––––––––––––––––––––––––––
5x-3≥12 AND 12x+5≤-4. Solve it separately.
5x - 4>=12. add 4 on both sides. 5x>=16.
Joe works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 45 hours last week. How much money did he make that week?
Answer: $382.50
Step-by-step explanation:
8.50 x 45 = 382.50