Answer:
The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Theoretical probability:
The theoretical probability is calculated without considering previous trials.
Experimental probability:
Calculated considering previous trials.
For a small number of trials, these probabilities can differ, but the experimental probability approximates the theoretical as the number of trials increase.
Seven different names are written into sticks and placed into a cup.
So the theoretical probability of choosing Grace is:
[tex]p_T = \frac{1}{7} = 0.1429[/tex]
A stick is chosen 100 times,out of which the name Grace is chosen 23 times.
So the experimental probability is:
[tex]p_E = \frac{23}{100} = 0.23[/tex]
How do the theoretical probability and experimental probability compare?
The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.
simplify: x0 y-3 / x2 y-1
[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]
Step by Step Explanation:
Evaluate the power: Any non-zero expression raised to the power of 0 equals 1Simplify: Simplify the expressionCalculate the product: Any expression multiplied by 1 remains the same. ☆彡Hanna#CarryOnLearning
Determine whether each ordered pair is a solution to the inequality x+y>−2.
(10,−1)
(−8,9)
(−1,−9)
(6,−3)
(7,−9)
===================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
which is false
You should find that choice E is false as well.
---------------------
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
If the air temperature at ground level is 30°F, the air temperature x miles high is given by T(x) = 30 - 19x. Determine the altitudes at which the air temperature is from 11°F to 1.5°F.
Answer:
21
Step-by-step explanation:
what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or
Here is the problem
Answer:
5 =x
Step-by-step explanation:
The top and the bottom are the same length
17 = 3x+2
Subtract 2 from each side
17-2 = 3x+2-2
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
Answer:
x = 5
Step-by-step explanation:
3x + 2 = 17
3x + 2 - 2 = 17 - 2
3x = 15
3x ÷ 3 = 15 ÷ 3
x = 5
3 3/8- 9/8 give your answer as a mixed number
Answer:
2 1/4
Step-by-step explanation:
We have to make the first value into an improper fraction, which makes 3 3/8 into 27/8. Now we subtract 9 from 27, giving us 18. This 18 is still over the common denominator of 8. 8 goes into 18 twice with 2 left over. So we have our mixed number as 2 2/8, which can be simplified to 2 1/4.
The perimeter of the triangle below is 80 units. Find the length of side PR
Answer:
32
Step-by-step explanation:
The perimeter is equal to sum of side lengths
4x + z + 3 + 5z - 3 = 80 add like terms
10z = 80 divide both sides by 10
z = 8 PR is 4z so 8*4 = 32
A rectangular auditorium seats 1564 people. The number of seats in each row exceeds the number of rows by 12. Find the number of seats in each row
Answer:
# of rows: 34
# of seats in each row: 46
Step-by-step explanation:
r - # of rows
s - # of seats in each row
r * s = 1564
s = r + 12
(34) * (46) = 1564
(46) = (34) + 12
Hope this helps!
Solve the equation 2/3x=-1/2x+5 what is the first step to isolate the variable term on one side of the equation
Answer:
x= 30/7
Step-by-step explanation:
See image below:)
Answer:
[tex]x=4\frac{2}{7}[/tex]Step-by-step explanation:
2/3x = - 1/2x + 5
2/3x + 1/2x = - 1/2x + 1/2x + 5
[tex]1\frac{1}{6}x=5[/tex]
[tex]\frac{1\frac{1}{6}x}{1\frac{1}{6} } =\frac{5}{1\frac{1}{6} }[/tex]
[tex]x=4\frac{2}{7}[/tex]PLEASE HELP
Solve for x: -7
06
0-6 >x>9
06 >x>-9
O-6
Question 9 Multiple Choice Worth 1 points)
Answer:
0-7
Step-by-step explanation:
89-0
What is the distance between the points (2, -3) and (-6, 4) on the coordinate
plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units
Answer:
C) 10.63 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]
Simplify:
[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]
Evaluate:
[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]
Our answer is C.
I need help finding the value of X.
Answer:
x=25
Step-by-step explanation:
43=2x-7 (since the midpoint separate a line into two equal halves)
43+7=2x
50/2=x
25=x
Answer:
x=25
Step-by-step explanation:
Since M is the midpoint, you can set your formula up as
43 = 2x-7
43+7=2x
50/2=x
25=x
What are the eight-digit grid
coordinates for benchmark 86 (circled
in red)?
Answer:
might wanna add the picture for an answer
Step-by-step explanation:
Thanks!!
Help would be appreciated:)
Answer:c
Step-by-step explanation:
Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 10 units and to the right 12 units.
Answer:
Step-by-step explanation:
Do it one step at a time. Down is easier
g(x) = abs(x) - 10
Shifting it right is a little trickier. To make it shift right, you need to put a negative value after x. That's true of any function.
g(x) = abs(x - 12) - 10
That 12 looks awfully strange, but it is correct. You want to put a value in for x that make x - 12 = 0 so that all you are left with is -10 which is the minimum.
I have made the graph for you, so you can see that this is true.
What's 2433857385+37474858
Answer:
2471332243
Step-by-step explanation:
Answer:
2471332243
HOPE IT HELPS
Who is Albert Einstein?
Answer:
Albert Einstein was a German mathematician and physicist who developed the special and general theories of relativity.
Hi!Albert Einstein, (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.), German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect. Einstein is generally considered the most influential physicist of the 20th century.
Find the surface area of a square pyramid with side length 1 and slant height 2.
Answer:
Simply search for surface area formula for pyramid on goole and plug the numbers into the formula!! Thank you so much!!
Step-by-step explanation:
simplify -2 minus square root of 15 over 2
What’s the slope and equation
Answer:
slope = -5 equation= y=-5x+100
Step-by-step explanation:
pick the x and y intercepts as your points to find the gradient that is
(20,0) and (0,100)
slope =∆y/∆x
=100/-20
= -5
take point(20,0) and (x,y) to find equation using the slope
equation becomes y= -5x+100
Under an insurance policy, a maximum of five claims may be filed per year by a policyholder. Let Pn be the probability that a policyholder files n claims during a given year, where n 0,1,2,3,4,5. An actuary makes the following observations:
i) Pn≥ 2pn+1 for n= 0, 1,2, 3,4
ii) The difference between pn and pn+1 is the same for n 0,1,2, 3,4
iii) Exactly 40% of policyholders file fewer than two claims during a given year Calculate the probability that a random policyholder will file more than three claims during a given year.
A) 0.14
B) 0.16
c) 0.27
D) 0.29
E) 0.33
The owner of a local golf course wanted to determine the average age (in years) of the golfers that played on the course. In a random sample of 20 golfers that visited his course, the sample mean was 41.6 years old and the standard deviation was 7.81 years. Using this information, the owner calculated the confidence interval of (38.6, 44.6) with a confidence level of 90% for the average age. Which of the following is an appropriate interpretation of this confidence interval?
a. We are certain that 90% of the average ages of all golfers will be between 38.6 and 44.6 years old.
b. We are 90% confident that the average age of the golfers surveyed is between 38.6 and 44.6 years old.
c. We cannot determine the proper interpretation of this interval.
d. We are 90% confident that the proportion of the ages of all golfers is between 38.6 and 44.6 years old.
e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.
Answer:
e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
90% confidence interval for the average age of golfers in the course is of (38.6, 44.6). This means that we are 90% sure that the true average age of all golfers in the course is between these two values, that is, the correct answer is given by option e.
What are 3 attributes of a Square based pyramid
Answer:
It has 5 Faces.
The 4 Side Faces are Triangles.
The Base is a Square.
It has 5 Vertices (corner points)
It has 8 Edges.
Step-by-step explanation:
btw you can choose 3
PLEASE HURRY HELP i need an answer pls thx NO LINKS
Answer:
58 inches
Step-by-step explanation:
Trust me mannn
Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. Are these samples representative of the school population? Explain.
No, the samples are not large enough to be representative.
Yes, both samples are random, so they are representative.
No, the samples might include some of the same people, so they are not representative.
Yes, the samples do not include the same people, so they are representative.
Answer:
D but see below.
Step-by-step explanation:
This question is badly thought out. 15 might be enough to be representative if the school only contains about 100 people.If B is true then it would be the answer.If D was true, it would be the answer. If C was true, it could be the same answer.So you have a question that has no clear answer. If Jeff took grade 11 and Lana took grade 12, that would make the answer much clearer. At least there would be no duplicates.
If you could refine the question a little more, you might get a clearer answer. I don't think this question should be asked and I sure don't think you should try and give an answer.
However that's not how schools work. So I would pick D, but by some bizarre method, the asker (like edge) might think of a way to make A B or C true.
Trisha took 3.25 minutes to complete the race an Rachel took 3.207 minutes to complete the race who won the race
Answer: trisha won the race
Step-by-step explanation:.25 > .207
Answer:
Rachel
Step-by-step explanation:
PLEASE HELP!
WILL MARK BRAINLIEST!
Find the measure of the indicated angle to the nearest degree.
Please provide an explanation, I’m trying to learn.
Answer:
B =53.15010235
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = 20 /15
Take the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1( 20/15)
B =53.15010235
Someone pls help I don’t know how to di this
Answer:
the answer would be positive 3 over 2
Step-by-step explanation:
List all the factors of 9. The factors of 9, from least to greatest, are and
Answer:
1 9 3
Step-by-step explanation:
i think only this much
Answer:
1,3 and 9
As Nine is divisible by 1,3 and 9
What is the 7th term in the sequence?
an=30−4n
Answer:
2
Step-by-step explanation:
Just substitute in 7 for the n.
30-4(7)
30-28
2
The 7th term in the sequence is 2.
What is the fraction: 9/8 to the 2nd power?
Answer:
9/8 x 9/8 = 81/64 in fraction form.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{81}{64}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(\frac{9}{8})^2\\\\\text{Recall the power of a fraction rule: } (\frac{a}{b})^x =\frac{a^x}{b^x}\\\\\rightarrow (\frac{9}{8})^2 =\frac{9^2}{8^2} =\boxed{\frac{81}{64}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
