At a sports event, a fair coin is flipped to determine which team has possession of the ball to start. The coin has two sides, heads, (H), and tails, (T). Identify the correct experiment, trial, and outcome below: Select all that apply: a. The experiment is identifying whether a heads or tails is flipped. b. The experiment is flipping the coin c. A trial is flipping a heads. d. A trial is one flip of the coin. e. An outcome is flipping a tails. f. An outcome is flipping a coin once.
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
Experiment:
An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.
Outcome:In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.
TrialIn probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.
Here we have
At a sports event, a fair coin is flipped to determine which team has possession of the ball.
The coin has two sides, heads, (H), and tails, (T).
From the given options correct answers are
a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).
b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.
d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.
Therefore,
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
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Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
in the slope-intercept
form
Answer:
y= 4x - 10
Step-by-step explanation:
y-6 = 4(x - 4)
y - 6 = 4x -16
+6. +6
y= 4x - 10
Can please some help me out with this 3 question
Answer:
8) x=6.93 y=3.46
9) x=16.9 y=24
train covers 20 km in one hour then how much distance will it cover in 1 min?
\(\sf\large\underline{Given:-}\)
Speed of the train = 20km / 1hr.
\(\rightarrow\) 1 hour = 60 minutes.
So, speed of the train = 20km/60min.
\(\sf\large\underline{To\: Find:-}\)
\(\rightarrow\)Distance covered by train in 1min.
\(\sf\large\underline{Solution:-}\)
Let the distance covered by train in 1 min be \(\sf{x}\) m.
So, if train covers 20 km in 60min then it covers \(\sf{x}\) m in 1 min.
It can be written as,
\(\rightarrow\) \(\sf{\frac{20}{60}}\) \(\sf{=\frac{x}{1}}\)(by cross multiplication)
\(\rightarrow\)\(\sf{20\: = \: 60x}\)
\(\rightarrow\) \(\sf{\frac{20}{60}= x}\)
\(\rightarrow\) \(\sf{\frac{1}{3}= x}\)
\(\rightarrow\) \(\sf{0.33= x}\)(approx)
Therefore, distance covered by train in 1 min= 0.33km (approx).
_______________________________
Hope it helps you:)
Two numbers have a sun if 28 one number js 6 more than the other find the number what’s the smaller number while the larger number is ?
Answer:
11, 17
Step-by-step explanation:
Let the numbers be x and x+6.
\(x+x+6=28 \\ \\ 2x=22 \\ \\ x=11 \\ \\ \implies x+6=17\)
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
Based on results from recent track meets, Nestor has a 79% chance of getting a medal in the 100 meter dash. Estimate the probability that Nestor will get a medal in at least 6 of the next 10 races. Use the random number table, and make at least 10 trials for your simulation. Express your answer as a percent.
Answer Choices:
-1%
-200%
-100%
-1.05%
The predicted likelihood that Nestor will win at least six of the upcoming races is therefore 90.1%, which is closest to the correct response of -1%.
what is probability ?The likelihood or chance that a specific occurrence or outcome will occur is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty. For instance, there are two equally likely outcomes (heads or tails), but only one of them is heads, hence the probability of flipping a fair coin and obtaining heads is 0.5 or 50%. By dividing the number of favorable outcomes by the total number of possible outcomes, one can calculate probability.
given
We can see that Nestor won a medal in 6 out of the 10 trials by counting the number of victories.
We can use the binomial distribution with parameters n=10 (number of trials) and p=0.79 to calculate the likelihood that this will occur (probability of success).
The following calculation can be used to determine the likelihood of at least 6 successes in 10 trials:
P(X>=6) = 1 - P(X<=5)
Using a calculator for the binomial distribution, we obtain:
P(X>=6) = 90.1%
The predicted likelihood that Nestor will win at least six of the upcoming races is therefore 90.1%, which is closest to the correct response of -1%.
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Which corrects Indira’s first error? Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1. Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2. Indira should have solved the equations to find that a = negative 8 and b = negative 2 in Step 3. Indira should have written the translation rule (x, y) right-arrow (x minus 4, y + 4) in Step 4.
Answer:
Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.
Step-by-step explanation:
The complete question is:
On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the translation. Step 1Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b):
B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)
Step 2
Write two equations:
Negative 6 + a = negative 2. 1 + b = negative 3.
Step 3
Solve each equation:
Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.
Step 4
Write the translation rule:
(x, y) right-arrow (x + 4, y minus 4)
Which corrects Indira’s first error?
Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.
Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.
Indira should have solved the equations to find that a = negative 8 and b = negative 2 in Step 3.
Indira should have written the translation rule (x, y) right-arrow (x minus 4, y + 4) in Step 4.
Answer:
Transformation is the movement of a point from its initial position to a new position. Types of transformation is rotation, dilation, rotation or reflection.
Translation is the movement of a point in a given direction. It is represented by (x, y) ⇒ (x ± a, y ± b)
If a is positive then the point is moved right and if a is negative, the point is moved left. Also if b is positive, the point is moved up and if b is negative, the point is moved down
Step 1 is correct:
B (- 6, 1) ⇒ B' (- 6 + a, 1 + b) = B' (- 3, - 2)
Step 2 is not correct, Indira should have written the equations:
(-6 + a, 1 + b) = (-3, -2)
-6 + a = -3 and 1 + b = -2
a = 3 and b = -3
(x, y) ⇒ (x + 4, b - 3)
-
Answers:Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.
Step-by-step explanation:
If Csc(x)=-2 , what is Cot (x/2)?
Do you know how to do it on a calculator using 1/sin(x) and 1/ tan(x)?
The value of cot(x/2) is -3.73
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, Csc(x) = -2
Since,
cscx = 1/sinx
Therefore,
1/sinx = -2
sinx = -1/2
sinx = -sin30°
x = -30°
Therefore,
cot (x/2) = cot(-15)
= -1/tan15
= -3.73
Hence, the value of cot(x/2) is -3.73
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According to a survey conducted by the Association for Dressings and Sauces, 80% of American adults eat
salad once a week. A nutritionist suspects that this percentage is not accurate. She conducts a survey of
445 American adults and finds that 374 of them eat salad once a week. Use a 0.005 significance level to
test the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
The test is: Select an answers
The test statistic is: z-
(to 2 decimals)
The Critical Value is: z-
Based on this we: [Select an answer
Conclusion: There Select an answer appear to be enough evidence to support the claim that the
proportion of American adults who eat salad once a week is equal to 80%.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
How to solveTo test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.
Claim: p = 0.80
Opposite: p ≠ 0.80
The test is a two-tailed z-test.
Sample proportion (p) = 374/445 = 0.8404
Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)
z = 2.53 (rounded to 2 decimals)
Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.
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Graph Linear equation y= -2x + 1/3
The graph of the function y = -2x + 1/3 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = -2x + 1/3
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of -2Shifted up by 1/3 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Complete the long division problem on your own sheet of paper. Then, fill in the digits.
Answer:
11 ÷ 942 = 84
Answer
84
8
4
4
please help me with this it is about how wide the patio doors will be
9 centimetres is probably most accurate
Answer:
36cm
Step-by-step explanation:
express 56;84;104 each as a product of their prime factors
Answer:
2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.
Step-by-step explanation:
Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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HERE IS ANOTHER PROBLEM
ameliaswan
Answer:
-1.6 < √2 - 3 < -1.5
Step-by-step explanation:
√2 - 3 = -1.58
-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than
If 3 13/44x = 2 7/11, then what is x?
Answer:
X equals 4
11 times 4 equals 44
Answer:
x = 4
Step-by-step explanation:
you multiply 11 by 4, and get 44
use the formula v = u + t to find the velocity when the initial velocity is 3 m/s, the accelaration is 1.5 m/s and the time is 7 seconds. What is the formula for each one?
The final velocity of the parameters is 13.5m/s
How to determine the final velocity of the parameter?In this question, the given parameters are represented as
Formula: v = u + at
Initial velocity = 3m/s
Acceleration = 1.5m/s²
Time = 7 seconds
When these parameters are represented using their required notation, we have the following representations
u = 3m/s
a = 1.5m/s²
t = 7 s
Next, we substitute the above parameters in the above equation
So, we have the following representation
v = 3 + 1.5 * 7
Evaluate the products
This gives
v = 3 + 10.5
Evaluate the sum
So, we have the following representation
v = 13.5
The notation v represents the final velocity
Hence, the final velocity is 13.5m/s
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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Tasha wants to measure the height of a tree that grows at an angle of 85° with respect to the ground.
When she is 80 feet away from the base of the tree she looks up. The angle from the ground to the top of
the tree is 25°. Approximately, how tall is the tree?
Answer: 35.9
Step-by-step explanation:
The tree is approximately 35.979 feet tall, computed using the sine rule.
What is the sine rule?The sine rule in a triangle can be shown as this.
A triangle ABC, with the values of the side BC = a, CA = b, and AB = b, follows the rule by:
(Sin A)/a = (sin B)/b = (sin C)/c.
How to solve the given question?In the question, we are informed about Tasha who is willing to measure the height of a tree, which grows at an angle of 85° with respect to the ground. Also, we are informed that when Tasha is 80 feet away from the base of the tree, then the angle from the ground to the top of the tree is 25°.
We are asked to find the height of the tree.
We first draw a triangle using the given details, AB being the tree, and C being the point where Tasha is.
We know ∠A = 180° - (∠B + ∠C) {By angle sum property of triangles)
or, ∠A = 180° - (85° + 25°) = 180° - 110° = 70°.
Now, by sine rule, we can say that:
(Sin A)/a = (sin B)/b = (sin C)/c.
or, (Sin 70°)/80 = (sin 85°)/b = (sin 25°)/c,
or, 0.93969262078/80 = 0.42261826174/c {We ignored the middle term as we only need the height of the tree, that is, c}
or, c = 0.42261826174*80/0.93969262078/80
or, c = 35.9792768309.
Therefore, the tree is approximately 35.979 feet tall, computed using the sine rule.
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There are 36 yellow and green balloons at the
party. There are five times as many yellow
balloons as green balloons. How many green
balloons are there at the party?
Math help plzzhxbcbfb
Which graph accurately represents the inequality 2x +4> 10?
Answer:
E.
Step-by-step explanation:
2x+4>10
Subtract 4 from both sides
2x>6
Divide both sides by 2
x>3
So, E represents this inequality as x is greater than 3 and it does not include 3 in it which is represented by an empty bubble.
Answer:
E
Step-by-step explanation:
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
9514 1404 393
Answer:
71.4
Step-by-step explanation:
The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...
P = 2(16.4 +19.3) = 2(35.7)
P = 71.4 . . . units
__
The missing length on the lower half of the upper right side is 6.3.
The slope of a line passing through (0,1) and (3,-4) ?
Answer:
m= -5/3
Step-by-step explanation:
y-y/x-x give you your slope
-4-1 = -5
3-0 = 3
-5/3 is -5/3
Answer:
-8/3
Step-by-step explanation:
I did the slope formula y2-y1 divided by x2-x1
Expand 2(n+7).
2(n+7) = ?
Answer:
2n+14
Step-by-step explanation:
Round 9.948 to the nearest whole number.
Answer: 9.900
i had this before the answer is right.NEED HELP ASAP WILL GIVE BRAINLIST!
Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.
Answer:
\(=2(2x-5)(x+1)\)
Step-by-step explanation:
So we have the trinomial:
\(4x^2-6x-10\)
First, factor out a 2:
\(=2(2x^2-3x-5)\)
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
\(=2(2x^2-3x-5)\)
Replace -3x with 2x and -5x:
\(=2(2x^2+2x-5x-5)\)
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
\(=2(2x(x+1)-5(x+1))\)
Grouping:
\(=2(2x-5)(x+1)\)
And we're done!
If two standard, six-sided die were rolled and the numbers that turned up on each were added together, which of the following would be the probability their sum would be equal to 4?
Answer:
3/36 or 8.333
Step-by-step explanation:
the way you get it is write all the possibilities and that how you get 3/36