A student wanted to decide whether or not a particular coin was fair (i.e., the probability of flipping a head is 0.5).
She flipped the coin 20 times, calculated the proportion of heads, and repeated this process a total of 40 times.
Below is the sampling distribution of sample proportions of heads. The mean and standard deviation of the
sampling distribution are 0.379 and 0.091, respectively. Do you think this was a fair coin? Why or why not?
Answers
Answer:
Yes
Step-by-step explanation:
even though the probability of the coin of landing on either side is .5, there is a deviation on which side the coin lands on. So each time a coin lands there is .5 chance it lands on heads but is not guaranteed a 50/50 split for the overall experiment
Related Questions
A new corporation has established itself and is set to start selling shares of stock. On the first day, you purchase 100 shares of stock at $23.00 per share. Three years later, you sell the stock for $45.00 per share.
a. How much did you net from the sale?
b. Was this a capital gain or a capital loss?
Answers
a) The net for the sale is: $4,500
b) The capital gain is $2,200
How much did you net from the sale?
We know that you had 100 shares, now the value of each of these is $45.00, then the amount that you make if you sell the 100 shares is:
S = 100*$45.00 = $4,500
How to get the capital gain?The capital gain is the difference between the amount we found above and the amount you paid for the shares.
The price of the shares was $23.00, then the amount you paid is:
C = $23.00*100 = $2,300
Then the capital gain is:
g = $4,500 - $2,300 = $2,200
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Find the area plz
Show how you did it
Answers
Answer:
I believe the area is 24
Step-by-step explanation:
to find the area of a parallelogram you must multiply the base by the height.
in this case just count the units going up which is 3
then the units going across which is 8
then multiply 8 by 3 to get 24
What would the next figure in the geometric pattern below be?
Answers
Answer:
C.
Step-by-step explanation:
explain 3 of the five purposes of journalism
PLEASEE
AND IF ANYONE IS WILLING TO HELP WITH MORE QUESTIONS PLEASE ANSWERRRR
Answers
Answer:
While various codes may have some differences, most share common elements including the principles of truthfulness, accuracy, objectivity, impartiality, fairness, and public accountability, as these apply to the acquisition of newsworthy information and its subsequent dissemination to the public.
Though it may be interesting or even entertaining, the foremost value of news is as a utility to empower the informed. The purpose of journalism is thus to provide citizens with the information they need to make the best possible decisions about their lives, their communities, their societies, and their governments.
Step-by-step explanation:
Answer:
While various codes may have some differences, most share common elements including the principles of truthfulness, accuracy, objectivity, impartiality, fairness, and public accountability, as these apply to the acquisition of newsworthy information and its subsequent dissemination to the public.
Step-by-step explanation:
Hope this helps!
South Pole Edition
Your Outdoor Adventures class is providing guidance to a group that is on an expedition to the South Pole. There are 5 people on the expedition.
Due to the extreme climate and conditions, each person in the group needs to consume 6000 calories per day. The table shows the three foods that will make up their total daily calories, along with the number of calories per unit and the daily needs by percentage.
(chart is in the photo i provided)
The map shows the current location of the group, as well as the location of the South Pole and the base camp. Each unit on the grid represents 5 miles. In the question that follow, you will determine whether the group has enough food to reach the South Pole and return to base camp.
Question:
The group thought there was enough food for all 5 group members to complete the trip, with each person getting the required 6000 calories per day. They discover that 2 of the crates they brought are missing.
Each crate contains
•80 biscuits
•50 packages of pemmican
•10 packages of butter and cocoa
Use the map, create a plan for the rest of the trip that includes taking as many group members as possible to the South Pole, while sending the rest of the group members directly back to base camp. Remember that each person must have 6000 calories of food per day until he or she gets back to base camp.
Answers
The group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
How did we arrive at this assertion?According to the given chart, calculate that each crate contains a total of 48000 calories. Therefore, two missing crates result in a total loss of 96000 calories (48000 x 2).
Determining whether the group has enough food to reach the South Pole and return to base camp, calculate the total number of calories required for the entire trip. Supposing a round trip of 10 days to the South Pole and back, the total number of calories required would be:
Total Calories = (6000 calories/person x 5 people x 10 days) x 2 (round trip)
Total Calories = 600,000 calories
To cover for the lost calories, the group would need to sacrifice one member's trip to the South Pole and send them directly back to base camp. This would leave four members to continue to the South Pole, where they would have to ration their food carefully to make sure they have enough for the entire trip.
Below is a plan to ensure enough food:
Day 1-2:
All five members travel together to position (2,1) and set up camp.Each member would consume 6000 calories per day.Total calories consumed: 5 people x 6000 calories x 2 days = 60,000 caloriesDay 3-5:
Four members (let's call them A, B, C, and D) continue to the South Pole while one member (let's call them E) returns to base camp.E would need 6000 calories per day to return to base camp.Total calories consumed by E: 1 person x 6000 calories x 3 days = 18,000 caloriesA, B, C, and D would have to consume 15000 calories per day (60000 calories ÷ 4 people ÷ 2 days) to make up for the lost calories.Total calories consumed by A, B, C, and D: 4 people x 15000 calories x 3 days = 180,000 caloriesDay 6-7:
A, B, C, and D reach the South Pole and set up camp.They would need 6000 calories per day for 2 days.Total calories consumed: 4 people x 6000 calories x 2 days = 48,000 caloriesDay 8-10:
A, B, C, and D return to position (2,1) and pick up E on the way.They would need 6000 calories per day for 3 days.Total calories consumed: 5 people x 6000 calories x 3 days = 90,000 caloriesAdd up all the total calories consumed:
60,000 + 18,000 + 180,000 + 48,000 + 90,000 = 396,000 calories
This is less than the total calories required, which was 600,000 calories. Therefore, the group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
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A water bottle has 20 ounces in it. After you drink x ounces of water, there are 8 ounces left. Which equation represents this situation?.
Answers
Answer:
Step-by-step explanation
The bottle had 20 ounces that before and 8 ounces after
8+x=20
20-x=8
20-8=x
20-8=12
What is the slope of the line segment that passes through
points (1,3) and (5, 13)?
Answers
Answer: 5/2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
13-3/5-1 = 10/4 or 5/2
Answer:
2.5
Step-by-step explanation:
Gradient (slope) =
\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)
3^9/3^6= answer in exponential form
Answers
To express this fraction in exponential form we have to remember the following property:
\(\frac{a^m^{}}{a^n}=a^{m-n}\)Applying it to our problem we have:
\(\begin{gathered} \frac{3^9}{3^6}=3^{9-6} \\ =3^3 \end{gathered}\)So the exponential form of our fraction is
\(3^3\)Please help me with this please
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
the price of a computer had a discount of 7,800 if the discount was 20% how much was the original price
Answers
answer:
39000
step by step:
5x7800=39000
Answer:
The answer is 39,000
Step-by-step explanation:
Hope you have a great day
A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answers
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
Maitri and Aabhas do a work in 12 hours.
Aabhas and Kavya do the work in 15 hours.
Kavya and Maitri do
work in 20 hours.
In how many hours will they finish it together and separately?
Pls help me
Answers
Answer:
See below ~
Step-by-step explanation:
Given
Maitri and Aabhas do a work in 12 hoursAabhas and Kavya do the work in 15 hoursKavya and Maitri do the work in 20 hoursSolving
Take Maitri, Aabhas, and Kavya to be x, y, z respectivelyx + y = 12 (1)y + z = 15 (2)x + z = 20 (3)Take Equation 1 and rewrite it so that it is equal to x.
x = 12 - yTake Equation 2 and rewrite it so that it is equal to z.
z = 15 - yNow, substitute these values in Equation 3.
x + z = 2012 - y + 15 - y = 20-2y + 27 = 202y = 7y = 7/2 = 3.5 hours [Aabhas]Substitute the value of y in Equation 1.
x + 3.5 = 12x = 8.5 hours [Maitri]Substitute the value of y in Equation 2.
3.5 + z = 15z = 11.5 hours [Kavya]Add the values of x, y, and z together.
x + y + z8.5 + 3.5 + 11.512 + 11.523.5 hours [together]8. Preston brushes his teeth for 9.562 seconds. a) What is his brushing time rounded to the nearest tenth? b) To the nearest hundredth? c) To the nearest whole number? d) Write his time in expanded notation.
Answers
Answer:
a) 9.6 b)9.56 c)9
Step-by-step explanation:
If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B
Answers
Answer:
37.5% less than B
Step-by-step explanation:
It is given that B is 60% more than A.
A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) BSince A is 62.5% of B, it is 37.5% less than B.
Answer:
A. 37.5% less than B
Step-by-step explanation:
We can write an equation to model this:
B being 60% more than A means that:
B=0.6A+1A
B=1.6A
Let's isolate A.
A=B/1.6
Multiply the top and bottom by 10 to get whole numbers
A=10B/16
Simplify
A=5B/8
5/8 = 62.5%
A=0.625B
Therefore, A is 62.5% of B
This means that A is 37.5% less than B.
Complete the equation describing how x and y are related.
Y= (x) x
Answers
Answer:
y= 1*x
Hope it helps..
Good luck
The speed in Guy’s car shows y miles per hour. After converting this speed into kilometers per hour, he finds that he is going z kilometers per hour. Which number is greater, y or z?
Answers
Answer:
y is greater than z
Step-by-step explanation:
y= miles
z= kilometers
since a mile is longer than a kilometer
thus, y is greater than z
Find the equation of the line
Answers
Answer:
\(y= \frac 12 x -3\\y=0.5x -3\)
Depending if you can imput fractions, or decimal numbers.
Step-by-step explanation:
The slope can easily calculated as \(m=\frac{\Delta y}{\Delta x} = \frac {0-(-3)}{6-0} = \frac 36 = \frac12\)
The y intercept can be easily read from the graph as and is -3
What is an intercept?
Answers
A simple random sample of 100 8th graders at a large suburban middle school indicated that 83% of them are involved with some type of after school activity. Find the 99% confidence interval that estimates the proportion of them that are involved in an after school activity. a) (0.733, 0.927) b) (0.653, 0.927) c) (0.633, 0.877) d) (0.783, 0.788) e) (0.733, 0.727) f) None of the above
Answers
Using the z-distribution, as we are working with a proportion, the 99% confidence interval is given by:
a) (0.733, 0.927).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence\(\alpha = 0.99\), z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
The other parameters are p = 0.83, n = 100, hence the bounds of the interval are given as follows.
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 - 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.733\)
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 + 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.927\)
Hence option a is correct.
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Pls HELP I BEG YOUUUU
Answers
Answer:
x = 60
Step-by-step explanation:
(x+22) + (x+6) + (x-28) = 180
x + 22 + x + 6 + x - 28 = 180
x + x + x + 22 + 6 - 28 = 180
3x = 180
x = 180/3
x = 60
i need help on this question
Answers
Find 140 percent of 15.
Answers
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.
Your percentage is currently 140.00. The decimal would be 1.40.
Next, take the given number (15 in this case) and multiply it by the decimal number:
15 * 1.40 = 21.
Hope this helped!
A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?
(Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits
Answers
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of total distance travelled to total time taken to cover distance.
The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles
The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles
\(Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles\)
which of the binomials below is a factor of this trinomial
x^2-13x+30
Answers
The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.
In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:
(x - a)(x - b) = x² - 13x + 30
So, (x - 3)(x - 10) = x² - 13x + 30.
Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
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3. Use congruent triangles to find side lengths.
Part I: Draw the two congruent triangles described in the box. Label their vertices and side lengths.
(2 points)
AABC AEFG
AB = 6, GF = 8, AC = 10.
Answers
The value on the congruent triangles are BC = 8, EF = 6, and EG = 10.
How to illustrate the graph?It should be noted that a triangle is congruent if they have the same length and the same angles
In this case, triangles ABC and EFG are congruent.
Here, BC = 8
EF = 6
EG = 10
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The volume of a cone is 3xcubic units and its height is x units.Which expression represents the radius of the cone's base, in units?O 3x6xО. Злх2O 97x2
Answers
Let us write the formula for the volume of a cone,
\(\text{The volume of a cone=}\frac{1}{3}\pi r^2h\)Let us write out the given data,
\(\begin{gathered} \text{Volume of a cone=3}\pi x^3unit^3 \\ \text{height}=\text{xunit} \\ \text{radius}=r=\text{?} \end{gathered}\)Let us now solve for the radius by substituting the given data,
\(undefined\)What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
Answers
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Answers
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
What's the perimeter of the trapezoid?
Answers
Answer:
Something about 39,40 or 41
Its mostly 40
Solve for x.
H A
x + 23
5x + 13
x = [?]
Enter
![Solve for x.H Ax + 235x + 13x = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/LPOlIJcrDXFgxuX1BlGnDnB6CaIxbAWw.png)
Answers
Answer:
5x+13+x+23=180°[exterior corresponding angle is supplementary.
6x=180-36
x=144/6
x=24
Answer:
hope it is helpful to you
![Solve for x.H Ax + 235x + 13x = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/ZYWpO4csfdQs9Splxcu2SsseaJKOV1SG.jpeg)