The more experiments that are performed, the closer the experimental probability gets to the theoretical probability: true or false?
Answer:
True.
Explanation:
The more experiments that are performed, the more data can be collected.
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
Answer:
115.3333
Step-by-step explanation:
346/3
Hope this helps. :)
app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit
Answer:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 125[/tex]
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
[tex]Pr = \frac{Frequency}{n}[/tex]
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]
[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]
[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]
When the frequency is to be calculated, we use:
[tex]Pr = \frac{Frequency}{n}[/tex]
[tex]Frequency = n * Pr[/tex]
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
[tex]Frequency(3) = 125 * 0.144 = 18[/tex]
[tex]Frequency(5) = 125 * 0.296 = 37[/tex]
For roll of 1 where the frequency and the probability are not known, we use:
[tex]Total \ Frequency = 125[/tex]
So:
Frequency(1) added to others must equal 125
This gives:
[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]
[tex]Frequency(1) + 103 = 125[/tex]
Collect like terms
[tex]Frequency(1) =- 103 + 125[/tex]
[tex]Frequency(1) =22[/tex]
The probability is then calculated as:
[tex]Pr(1) = \frac{22}{125}[/tex]
[tex]Pr(1) = 0.176[/tex]
So, the complete table is:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
A golfer drives a ball 21 degrees from a line between the tee and the hole that is 380 yards away. How far is the ball from the whole if it landed 190 yards from the tee?
NEED WORK
Answer:
190
Step-by-step explanation:
its 170 because 380-170=190
John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?
Answer:
Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates
Step-by-step explanation:
traapezoid height 12 yd, bases 6yd and 8yd
Answer:
84 yards squared
Step-by-step explanation:
Use the formula- A= 1/2(b1 +b2)h
So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)
50 pts please help asap !
Answer:
its 23.5
Step-by-step explanation:
Answer:
d 26
Step-by-step explanation:
AC=24
AB=AC/2=12
AD²=AB²+BD²
AD²=5²+12²=25+144=169
AD=√169=13
AE=2*13=26
Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
Given that cos A 165 and sin B = 72, and that angles A and B are both in
Quadrant I, find the exact value of sin(A + B), in simplest radical form.
Given:
[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]
[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]
A and B both lies in I quadrant.
To find:
The value of [tex]\sin (A+B)[/tex].
Solution:
We know that, all trigonometric ratios are positive in first quadrant.
[tex]sin^2\theta +\cos^2\theta =1[/tex]
Using this we get
[tex]\sin^2A +\cos^2A =1[/tex]
[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]
[tex]\sin^2A +\dfrac{16}{65}=1[/tex]
[tex]\sin^2A =1-\dfrac{16}{65}[/tex]
Taking square root on both sides, we get
[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex] [Only positive because A lies in I quadrant]
[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]
[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]
Similarly,
[tex]\sin^2B +\cos^2B =1[/tex]
[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]
[tex]\dfrac{1}{2}+\cos^2B =1[/tex]
[tex]\cos^2B =1-\dfrac{1}{2}[/tex]
Taking square root on both sides, we get
[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex] [Only positive because B lies in I quadrant]
[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]
[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]
Now,
[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]
[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]
Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].
A person is standing on the equator of Earth (radius 3960 miles). What are his linear and angular speeds?
Answer:
Linear speed =ωr=2π/86400×3960=11π/120 miles/s.
Step-by-step explanation:
The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
It is given that radius of equator of earth is 3960 miles.
We have to find the linear and angular speeds.
What do you mean by the linear speed ?
The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.
As per the question ;
radius of equator of earth = 3960 miles
The linear speed will be ;
s = rθ / t
We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.
So ;
s = (3960 miles × 2π) / 24 hour
s = 330π miles / hour
s ≅ 1036.73 miles / hour
And
The angular speed will be ;
ω = s / r
ω = 1036.73 / 3960 minutes
ω = 0.26 radian/hour
Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
To learn more about linear and angular speed click here ;
https://brainly.com/question/15154527
#SPJ2
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT
Answer: That is right
Step-by-step explanation:
Answer:
b) triangle, not regularStep-by-step explanation:
This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.
Which equation best represents the relationship
between x and y in the graph?
FOR BRAINLSIT!!
Answer:
I've never had to deal with this before but I would say C
Answer:
The best option is C ( y=(1/4) x +3)
A line is an undefined term because it
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Step-by-step explanation:
I hope it will help you
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
Please hurry I really need this to be answered
Answer:
The answer is (C) BFD
Step by step
We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.
Rational Equations
- It takes one worker 12 hours to complete a specific job. If two workers do the same job, it takes them 6 hours to finish the job. How long would it take 6 workers to do the same job?
It will take ____ hours.
Answer:
2 hours
Step-by-step explanation:
2,4,6,8,10,&12
1, 2,3, 4, 5, &6
Hope this helps :)
Anyone know the answer to this question?
x - 2y = 0
2x + y = 5
A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *
Answer:
The answer is $2.52.
Step-by-step explanation:
56 x .045= $2.52
VWXY is a parallelogram. Find the value of n.
Help meeee
Answer:
3.5
Step-by-step explanation:
n+7=3n
7=2n
n=3.5
Answer:
n=7/2
Step-by-step explanation:
n+7=3n
-n -n
7=2n
/2 /2
7/2=n
is this right please hep
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
16. Which of the following
numbers should go in the
space to make the equation
true?
(4 x 2) × (6-3) = 4 x_x2
Answer: 3
Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.
The coordinates of the following points represent the vertices of a rectangle. W: (3,3) X: (8,3) Y: (8,7) Z: (3,7) What is the perimeter, in units, of rectangle WXYZ?
Answer:
18
Step-by-step explanation:
The answer is B, 18
Answer:
The person above me is correct
Step-by-step explanation:
If you place a 28-foot ladder against the top of a 22 foot building
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}
b = √784 - 484 {Subtract 484 from 784 to get 300.}
b = √300 {Find the square root of 300.}
b = 17.32051 {Round to the nearest tenth.}
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
I hope this helps! ^w^
What is the value of b?
Answer:
105°
Step-by-step explanation:
since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.
52+23=75
180-75=105
5/9 times 8 GUYS PLS HELP ME
Answer: 4.44
HOPE THIS HELPS
The negative integers greater than or equal to -12