A fair coin is flipped 10 times and lands on heads 8 times. Why is there a difference between the experimental and theoretical probabilities of observing 8 heads in 10 coin flips?
A.
Since the number of heads in the 10 coin flips is 8, the theoretical probability of observing a head in a coin flip increases from 0.5 to 0.8.
B.
Since 10 is a large enough number of trials, there is probably some error in the recording of the coin flip outcomes.
C.
The theoretical probability has no basis in reality, so the new probability of flipping heads is now 0.8.
D.
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. sorry if this isn't right have a nice day.
Answer:
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Step-by-step explanation:
I had the same on my test and got it correct, "trust me man"
What is the next term in this pattern 10, 8.9, 7.8, 6.7
Answer:
5.6
Step-by-step explanation:
You just have to keeps subtracting 1.1
Work out
3/8 x 11
Give your answer as a mixed number.
Answer:
4.125 in decimal form and 4 1/8 in simplified fraction form
Step-by-step explanation:
The value of multiplication of an improper fraction 3/8 and a whole number 11 as a mixed number is 4 1/8.
To calculate 3/8 × 11 as a mixed number, we can follow these steps:
Step - 1:
Multiply the whole number by the numerator of the fraction:
11 × 3 = 33
Step - 2:
Divide the result by the denominator of the fraction:
33 ÷ 8 = 4 with a remainder of 1
Step - 3:
The whole number part of the mixed number is the quotient from the division:
The whole number part is 4.
Step - 4:
The fractional part of the mixed number is the remainder divided by the original denominator:
The fractional part is 1/8.
Therefore, the answer to 3/8 × 11 as a mixed number is 4 1/8.
To learn more about the fractions;
https://brainly.com/question/10354322
#SPJ6
Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98
Choose one of these numbers at random. Find the probability of the following results.
The sum of the number's digits is odd??
Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
Learn more about probability here:
https://brainly.com/question/11034287
#SPJ2
Are the following ratios equivalent
16:48 and 112:336
Answer:
Yes
Step-by-step explanation:
V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
[tex]v^2-15=-2v[/tex]
We have to find two solutions of quadratic equation.
[tex]v^2+2v-15=0[/tex]
Using addition property of equality
[tex]v^2+5v-3v-15=0[/tex] (By using factorization method)
[tex]v(v+5)-3(v+5)=0[/tex]
[tex](v+5)(v-3)=0[/tex]
Substitute each factor equal to 0
[tex]v+5=0[/tex] and [tex]v-3=0[/tex]
[tex]v=-5[/tex] and [tex]v=3[/tex]
Hence, two solutions of quadratic equation are
v=-5 and v=3
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
Arthur has 9 feet of rope in his garage, which is not enough for his next project. So, he went to the hardware store and bought 5 yards of rope. How many feet of rope does Arthur now have all together?
Answer:
9 x 5 = 45
Step-by-step explanation:
what equality is shown here on the number above?
Answer:
the equality shown is : x is greater than or equal to -3.
how do u write an equation in slope intercept form to describe a graph
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x
please answer asap!!! thank you
Answer:
b trust me its b
Step-by-step explanation:
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Classify the angle.
What type is it.
1. f(x) = x^3– 4x^2 – 7x + 10
9514 1404 393
Answer:
zeros: {-2, 1, 5}
Step-by-step explanation:
A graphing calculator works nicely for identifying turning points, roots, increasing/decreasing intervals, and more.
A recent study found that 2.56% of college graduates were unemployed and 5.35% of high school graduates (with no college degree) were unemployed. The study surveyed 586 college graduates and 467 high school graduates. Construct a 95% confidence interval for the difference of the proportion of unemployed college graduates minus the proportion of unemployed high school graduates.
Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
What is the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given by:
[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]
[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]
[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
In which z is the critical value.
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then, the bounds of the interval are given as follows:
[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]
[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]
The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in the sequence: hypotenuse, unknown leg, known leg.
Answer:
9x 5 =45 x is 1.
Step-by-step explanation:
find out what is all the sides
What is the circumference and area of this circle? (Use 3.14 for pi)
Answer:
100.531km
Step-by-step explanation:
7n - 5
The polynomial is__
Answer:
polynomial have 7 side...
Gabby and Sam each ordered a small pizza. Gabby ate 3/8 of her pizza and Sam ate 1 slice of his pizza. If they ate the same Amount of pizza, which statement below is true about the pizza they ate
Answer:
small pizza
Step-by-step explanation:
1/2 gabby 1/2 sam
What is 30/12 written as a mixed number?
While working a summer job, London earned $182 in 7 hours. Find the
rate of change.
Answer:
31hr
Step-by-step explanation:
plz help look at the image for the question
which shows the product of 23 and 39
Answer:
897
Step-by-step explanation:
"Product" in math refers to multiplication, so you would just multiply the two to get 897.
Answer:
897
Step-by-step explanation
multilpy
Find the mean, median, and mode of the data.
2,4,3 1,5
Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.
Answer:
1. 33%
2. 28
3. 62.5
Step-by-step explanation:
PLEASE HELP MEWhich equation can represent the graph
A. Y=-x^2-4
B. Y= -x^2+4
C. Y=x^2+4
D.y=x^2-4
Answer:
y = - x^2 + 4
which agrees with answer B
Step-by-step explanation:
Notice the graph is that of a quadratic function centered on the y-axis, with negative leading coefficient (branches of the parabola pointing down), and with vertex on the y-axis at the point (0, 4).
Therefore its equation is best represented by:
y = - x^2 + 4
which also crosses the x axis at the points x = -2 and x= 2, in agreement with the graph.
Answer:
B. y = - x²+4
Step-by-step explanation:
I used a calculator to check.
Find the coordinate of the x intercept
Help me with this quick!
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
Inequality expressionInequalities are expression not separated by an equality sign, They can be used to solve real world problem as well.
The inequality signs are <, >, ≤ and ≥.
≥can be termed as greater than or equal to (This means at least)
≤can be termed as less than or equal to (This means at most)
Given the inequality expression 6g - 10≥ 35. According to Scotts' response as shown;
"Rudolph has at most $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the maximum number of booklet he can buy?"
This is wrong since $35 was the least amount Rudolph has not the maximum amount. The correct response should therefore be:
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
Learn more on inequality here: https://brainly.com/question/11613554
#SPJ1
