The answer is the Theoretical probability is higher than the Experimental probability.
Experimental and Theoretical Probabilities:Experimental probability:
The basis for experimental probability is what actually happens. It is dependent on the outcomes of several tests or experiments.
It is calculated by repeatedly recreating the event, recording the outcomes, and then converting the outcomes into a ratio or decimals.
Experimental probability = No of times event occurs/ No of trials
Theoretical Probability:
Theoretical probability is derived from a theory or what is predicted to occur. It is based on information and math.
It is determined by dividing the total number of outcomes by the proportion of favorable results. Either convert it to decimal form or leave it as a ratio or fraction.
Theoretical probability = No of favorable outcomes/ No of outcomes
Here we have
Tami rolled a die 20 times
14 times it landed on an even number;
6 times it landed on an odd number.
The die rolled for an odd number
As we a die will have 6 faces
Number of odd numbers = 3 [i.e 1, 3, 5 ]
Number of even numbers = 3 [ i.e 2, 4, 6 ]
⇒ Theoretical probability = 3/ 6 × 100 = 50%
The die is rolled 20 times, 6 times it landed on an odd number.
⇒ Experimental probability = 6 / 20 = 30%
As we can see,
The theoretical probability is higher than the Experimental probability.
Therefore,
The answer is the Theoretical probability is higher than the Experimental probability.
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Triangle ABC is shown below. What is the length of line segment AC? A o 7 og 2x 3X-7 o 14 o 18 B 4x - 10 С
A :7
B: 9
C: 14
D: 18
Answer:
No solution is possible from the given information
Step-by-step explanation:
Triangle ABC is NOT shown below
Without the triangle it's not possible to answer.
Scott start his banking account with 150 and is spending $7 per day on lunch . How would one describe the graph of this model?
Answer:
So this is giving us the slope the slope is y=-7x+150
Step-by-step explanation:
It is giving us the Y intercept which is $150 because thats how much he starts out with
It is giving us the slope -7 dollars because he is spending that everyday
Find tan(B) in the triangle.
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15
After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink machine?
The original price was
GEZER
Answer:
$660.
Step-by-step explanation:
So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:
x ⋅ (1-0.9) = y
Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:
x ⋅ (1-0.9) = $66
Now, to get the original value of the product (x), we solve the equation for x:
x ⋅ (1-0.9) = $66
x= $66 / (1-0.9)
x= $66 / (0.1)
x= $660
• Why did we multiply by 1-0.9?
This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.
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A different example would be the following:
What was the original price of a product bought for $48 if it has a 60% discount?
x is original price.
Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:
x ⋅ 40%= $48
x= $48 / 40%
x= $48 / 0.4
x= 120
$120 was the original price.
five hundred and two ten thousandths as a decimal
Answer:
0.052 is the correct answer .
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
One environmental hazard recently identified is overexposure to airborne asbestos. In a sample of 10 public buildings over 20 years old, three were found to be insulated with materials that produced an excess number of airborne asbestos bodies. what is the approximate probability that another buitding of this rype will have this problem? What method are you using to assign this probability?
Answer:
1. 0.3
2. Relative frequency
Step-by-step explanation:
We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues
n = sample space of public buildings = 10
F = frequency = 3
P(A) = 3/10 = 0.3
Therefore 0.3 is the approximate probability of another building having same issues
Question 2 says we should find method used to assign probability
The method used is relative frequency method and it is determined by:
P(A) = frequency(f)/total number of data values(n).
The original price of a dining table set is $400. The set is on sale for 40% off. What is the sale price of the set?
Answer: Your answer will be $240
Step-by-step explanation:
15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
Can someone solve this eq (integration)
I did it but the answer I got is different to what my textbook says
Answer:
I hope you can help
if x and y vary directly and y is 33 when x is 11, find y when x is 12
Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.
If x and y vary directly, it means that they have a constant ratio between them. We can express this relationship as:
y = kx,
where k is the constant of variation.
To find the value of k, we can use the given information that when x is 11, y is 33. Substituting these values into the equation, we have:
33 = k * 11.
Dividing both sides by 11, we find:
k = 3.
Now that we have determined the constant of variation, we can find y when x is 12 by substituting this value into the equation:
y = 3 * 12.
Evaluating this expression, we get:
y = 36.
Therefore, when x is 12, y will be 36.
Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.
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Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
3 ice cream cones cost 8.25 at this rate how much do 2 ice cream cones cost
Can you simplify thiss !
-2 - x
To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).
So, -2 - x simplifies to -2x - 2.
Let's simplify the expression -2 - x step by step:
Step 1: Start with the given expression: -2 - x.
Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).
Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.
Therefore, the simplified expression is -2x.
In summary, -2 - x simplifies to -2x.
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biostatistics questions help to solve
M2 U2 Practice 6
Given: the equation of line lis y = -x +4
Write the equations of the lines passing through the point (6,7) that are (a) perpendicular to line I, and (b) parallel to
line l.
Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.
What formula should you use to represent the line that passes through the given points?How to determine a line's equation from two points:
Using the slope formula, determine the slope.
To find the y-intercept (b), use the slope and one of the points.
You can obtain the equation for a line by entering the values of m and b into the slope-intercept form of the line (y = mx + b).
y = -x/3 + 5 is the equation that depicts the line that crosses through the coordinates (-6, 7) and (-3, 6).
3 Answers What is the slope of the line passing through (- 7 2 and 6 7? by Certified Tutors
The slope of the equation would be nine.
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I am faster than the speed of
sound. I weigh nothing, but I
can fill a room. What am I?
6-(-11) how to solve
Hi ;-)
Calculate
\(6-(-11)=6+11=\boxed{17}\)
Answer:
17
Step-by-step explanation:
6-(-11)
Subtracting a negative is like adding
6+11
17
what is A and B if A+B is 7/12 and A-B is 5/12?
the diffrence of 54 and 32 mutlipted by the diffrence of 8 and 5
Answer:
66
Step-by-step explanation:
the difference of 54 and 32 is 54 - 32 = 22
the difference of 8 and 5 is 8 - 5 = 3
then
22 × 3 = 66
I need help. Click on the picture to see more!
Answer:
A) 3n= 3x1= 3
3n= 3x2= 6
3n= 3x3= 9
3n= 3x4= 12
3n= 3x5= 15
3n= 3x6= 18
3n= 3x7= 21
3n= 3x8= 24
3n= 3x9= 27
3n= 3x10= 30
B)7n= 7x1= 7
7n= 7x2= 14
7n= 7x3= 21
7n= 7x4= 28
7n= 7x5= 35
7n= 7x6= 42
7n= 7x7= 49
7n= 7x8= 56
7n= 7x9= 63
7n= 7x10= 70
C) 6n= 6x1= 6
6n= 6x2= 12
6n= 6x3= 18
6n= 6x4= 24
6n= 6x5= 30
6n= 6x6= 36
6n= 6x7= 42
6n= 6x8= 48
6n= 6x9= 54
6n= 6x10= 60
Luther prepared 18 kilograms of dough after working 6 hours. How many hours did Luther work if he prepared 21 kilograms of dough? Solve using unit rates.
Given f(x)=5x-4, solve for x when f(x)=1
Answer:
X=1
Step-by-step explanation:
1=5x-4
5=5x
5/5=5/5x
X=1
Please really need help on this please
Answer:
y + 3= -7(x + 2)
Step-by-step explanation:
...........
What is the area of the triangle?
8
4
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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4. Verify the following for a = 3 and b = 4.
a) (a + b)^2= a^2 + 2ab + b^2
b)(a + b)^2 = a^2 - 2ab + b^2
c) (a + b)(a - b) = a^2 - b^2
Answer:
(3+4)^2=9+24+16
7^2
=49
help please!! really easy math. <3
Answer:
y = x+5
Step-by-step explanation:
Answer:
\(y = x + 5\)
Step-by-step explanation:
GIVEN :-
Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5TO FIND :-
Equation of line in slope-intercept formFACTS TO KNOW BEFORE SOLVING :-
Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → \(\boxed {y = mx + c}\)
SOLUTION :-
By using the basic idea of slope-intercept form , the equation of line given in the question is :-
\(y = (1 \times x) + 5\)
\(=> y = x + 5\)
i need help with the answer i also need to explain this question
Answer: B: 20
Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!
Hope this Helps!
Daniel types more than x words per minute. He types a 576-word essay In less than
twelve minutes. Which Inequality best represents x, the number of words per minute
Daniel types?
Answer:
d
Step-by-step explanation: