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Related Questions
Martha wants to investigate whether her 12-sided number cube is fair. In the first 10 rolls of the number cube, the number 2 was rolled 4 times. After rolling the number cube 200 times, 2 was rolled 18 times. Which statement regarding the probability of rolling a 2 on this 12-sided number cube is true?
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Answer:
The number cube as 12 sides, and if it is fair, then each one of the 12 numbers should have the same probability of being rolled.
This means that the probability of rolling a 2 should be equal to 1/12 = 0.0833
Remember that this is theoretical, we should expect to see this probability with a really high number of rolls.
On the first experiment, there were 10 rolls, and the number 2 showed up 4 times, then based on this, the relative frequency is equal to the quotient of the number of times that the 2 was rolled (4) and the total number of rolls
p = 4/10 = 0.4
This differs with the theoretical probability, we should expect that as we increment the number of rolls, the experimental probability should approximate to the theoretical one.
In the second experiment, we have 200 rolls, and the 2 was rolled 18 times. Then the experimental probability of rolling a 2 is:
p = 18/200 = 0.09
This is almost the same as the theoretical one.
Then we could conclude that the probability of rolling a 2 seems to be the one of fair dice.
We can conclude that the 12-sided number cube is fair
The given parameters are:
4 outcomes of 2 in 10 rolls.18 outcomes of 2 in 200 rolls.The theoretical probability of 2 in a 12-sided number cube is:
[tex]\mathbf{P(2) = \frac{1}{12}}\\[/tex]
Express as decimals
[tex]\mathbf{P(2) = 0.083}[/tex]
The experimental probability of 2 in after 200 rolls is:
[tex]\mathbf{P(2) = \frac{18}{200}}[/tex]
Express as decimals
[tex]\mathbf{P(2) = 0.09}[/tex]
By comparing the experimental and the theoretical probabilities, we can see that: 0.08 and 0.09
Hence, we can conclude that the 12-sided number cube is fair
Read more about probabilities at:
https://brainly.com/question/3181979
A police officer believes red cars speed more often than any other color car. During his 25 shifts this month, he records the number of speeding tickets he writes to red and non-red cars.
a. Determine whether the following statement is true or false.
1. The police officer is conducting an experiment.
b. All of the following variables could be confounding variables EXCEPT for which one?
a. time of day
b. color of car
c. location
d. the police officer
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Answer:
Step-by-step explanation:
a. Yes, the following statement is true. The police officer is gathering data by writing down all the speeding tickets and seperating them into two categories, red and non-red cars. He can later analyze this data and compare them to determine whether or not his hypothesis is true.
b. The color of the car is the only variable that would not be a confounding variable in this scenario. This would instead be the independent variable and does not in any way affect the dependent variable which would be the number of speeding tickets received.
Nico did 42 push-ups in 3 minutes.
What is the unit rate?
push-ups per minute
At this rate, how many push-ups can Nico do in 5 minutes?
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Answer:
14 pushups per min
70 pushups in 5 min
Step-by-step explanation:
write an expression in terms of n
adds 2 to the number and then multiplies the result by 3
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Answer:
Step-by-step explanation:
Let the number = n
Add 2 to the number : n + 2
Multiply the result by 3 : (n + 2) *3
= n * 3 + 2*3
= 3n + 6
help w 16 please. i will mark u brainliest
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Answer:
The answer is C.
Hope I helped!
simplify 7 (2x + 4) + 14.
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Answer: 14x + 42
7(2x+4)+14
14x + 28 + 14
14x + 42
Step-by-step explanation:
8th Grade Math, Helppppppppp Now Plsssssss! What is the function of the nucleus in plant and animal cells? A. Produces all the power of the cell B. Creates proteins within the cell C. Control all cells activity, contains DNA D. Allows things in an out of the cell
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Answer:
science budo but nucleus controls cell activity and contains dna
Answer:
C. Control all cells activity, contains DNA
Step-by-step explanation:
The nucleolus makes ribosomal subunits from proteins and ribosomal RNA, also known as rRNA. It then sends the subunits out to the rest of the cell where they combine into complete ribosomes.
Also.... that's not math.
The price of a large pack of toilet paper before the pandemic was about $9. During the crazy
toilet paper rush of 2020, the price rose to around $20. State whether this was an increase or
decrease, and calculate the percent of change. I
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Answer:
it is an increase because it is going up
Step-by-step explanation:
it is a 122.222% increase
2 divided by 9/10 (in fraction or mixed number form)
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Answer:
decimal: 2.22 mixed number: 2 2/9
What is the equation of the line that passes through (2,-6) and has a slope of -1
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Plug in equation
-6 = -1(2) + b
-6 = -2 + b, b = -4
Solution: y = -1x - 4
Solve for x . 955=5x
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Answer:
191
Step-by-step explanation:
955 = 5x
divide both sides by 5 to get x by itself
x = 191
4.
Darnell starts saving the same amount from each weeks paycheck. The table shows the total balance f(n) of
his savings account over time in weeks.
Time (weeks) n
2
3
Savings Account Balance(s) fin) $250 $380
$510 $640
Determine the value of f(9), and explain what it represents in this situation.
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Answer:32
Step-by-step explanation:
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
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Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
A golf ball is launched straight up into the air from the ground with an initial velocity of 160 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 160t.
a) Find how long it takes for the golf ball to reached its maximum height.
b) Determine how long the golf ball is in the air before it hits the ground.
c) Determine the maximum height that the golf ball reaches.
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Answer:
a) 5 secb) 10 secc) 400 mStep-by-step explanation:
Given is the quadratic function:
h(t) = -16t^2 + 160tThis gets maximum value at vertex, which is achieved at:
x = -b/2a, of y = ax^2 + bx + cIn our case:
t = -160/2(-16) = 5 secondsMaximum height is at vertex:
h(5) = -16*5^2 + 160*5 = 400 mTime the ball hits the ground, h(t) = 0:
-16t^2 + 160t = 0t^2 - 10t = 0t(t - 10) = 0t = 0 seconds is the starting pointt = 10 seconds is when the ball hits the groundI WILL GIVE BRAINLIEST !! PLEASE HURRY IM TIMED
(you can still use desmos btw)
answer choices
A. Haley’s family by 5 miles per hour
B. Alex’s family by 10 miles per hour
C. Haley’s family by 10 miles per hour
D. Alex’s family by 5 miles per hour
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Answer:
alexs family by 10 Mph
Step-by-step explanation:
4
Which of the following is NOT a possible value of x?
3
A4
B 5
C 11
D 14
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Answer:
D) 14
The value '14' is NOT a possible value of x
Step-by-step explanation:
Explanation:-
Given that the interval
3 < x < 12
This means the value of 'x' lies between the '3' and '12'
←3 4 5 6 7 8 9 10 11 12→
so 14 ∉ ( 3,12)
Final answer:-
The value '14' is NOT a possible value of x
A point that does not fit the overall
or trend of a
scatter plot is known as an "outlier".
• Who was the "outlier" in the scatter plot above? Explain.
OUTLIERS
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Drag the missing word into place
0.5 is the ___ that is equal to one half
Fraction
Hundredth
Decimal
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Answer:
Decimal
Step-by-step explanation:
its a Decimal because 0.5 is an fact a decimal and its is equal to half and you can put 2 and 2 together and say it is a decimal just by how it looks
:) i hope you get the question righttt trust me its right i got it right on flocabulary.
The missing word into place is Decimal. Hence option 3 is true.
Used the concept of decimal number that states,
In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given that the number is,
0.5
Now the number is written as,
0.5
5/10
1/2
And, the number 0.5 is in the form of a Decimal.
Hence, The missing word place is Decimal.
Therefore, option 3 is true.
To learn more about decimal numbers:
brainly.com/question/1285738
#SPJ6
there are 287 of toilet paper in walmart and there are 26 rolls in it math problem how many rolls of toilet paperis there
I REALLY NEED HELP LOL
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if x is the first of two consecutive integers, express the sum of the two integers in terms of x
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Answer:
2x+1
Step-by-step explanation:
x = 1st integer
x+1 = next consecutive integer
The sum is
x+ (x+1)
Combine like terms
2x+1
let the first integer be x and the second be x + 2
then the sum is x +x+2 = 2x +2
A smart phone regularly sells for $180.00 but is on sale for 30% off. What is the amount of the discount?
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Answer:
$54
Step-by-step explanation:
The amount of the discount can be found by multiplying 180 by 0.3 which is 54.
If you also need to know the new total it would be $126 because
180 - 54 = 126
If you were the sky, and your thoughts and emotions were the weather, what would the weather look like? Draw and color your weather report.
What comes up for you when you look at your picture? What did you learn about yourself? What do you think you need to do to take care of yourself after looking at your picture? You may share as much, or as little as you like with us below.
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Answer:
It would be sunny because I am a usually happy person
9 is what percent of 16?
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Answer:
56.25%
Step-by-step explanation:
Answer:
Step-by-step explanation:
The director of the admissions at a large university advises parents of incoming students about the cost of textbooks during a typical semester. He selected a sample of 100 students and recorded their textbook expenses for the semester. He then computed a sample mean cost of $315.40 and a sample standard deviation of $43.20
Required:
Using the 0.10 level of significance, is there evidence that the population mean is above $300?
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Answer:
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Step-by-step explanation:
Step(i):-
Given that sample size 'n' = 100
Mean of the sample x⁻ = 315.40
The standard deviation of the sample (s) = 43.20
Level of significance = 0.1
Mean of the Population = 300
Null hypothesis: H₀: x₀ = μ
Alternative Hypothesis: H₁: x₀ ≠ μ
Step(ii):-
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{315.40-300 }{\frac{43.20}{\sqrt{100} } }[/tex]
t = 3.5648
Degrees of freedom = n-1 = 100-1 =99
[tex]t_{\frac{0.1}{2} , 99} = t_{0.05,99} = 1.9842[/tex]
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
choose the set of equivalent fractions that correctly uses the LCD for these fractions 3/4 and 1/6
Answers
Answer: 9/12, 2/12
Step-by-step explanation:
Start by writing multiples of 6 and 4
4: 4, 8, 12
6: 6, 12, 18
Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the LEAST COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12. Hope this helps!
NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)
Is 18 and 0.3 equivalent
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Answer:
No
Step-by-step explanation:
Because 0.3 is a decimal and 18 is a whole number.
0.3 = 3/10 which is 30%
Corresponding angles are
A. Complementary
B.Equal
C. Supplementary
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Answer:
equal
Step-by-step explanation:
When the two lines are parallel Corresponding Angles are equal
Which of the following would not be listed under cash outflows in a financial plan?
a.
car payments
b.
insurance premiums
c.
interest earned
d.
mortgage payment
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Answer: c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
cash flow is the money going into the business while cash out is the money going out of the business
cash payment is an outflow, money is going outinsurance premium is an outflow, money is going outmortage payment is also an outflowthe only thats a inflow is the interest earned.
which study would be best done in a labrotory
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Answer:
Science? :)
Step-by-step explanation:
just helping people get points :D
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Answer:
thank you so much for the points
Step-by-step explanation:
:D
