the probability of getting a head on the next flip is estimated to be 0.81. The probability of getting two heads in a row would be the square of this probability, or 0.81 * 0.81 = 0.6561.
The probability of getting a head on any single flip of a fair coin is 1/2. However, based on the results of the previous 100 tosses, we can estimate the probability of getting a head on the next flip as the ratio of heads to total tosses, which is 81/100 or 0.81. So, the probability of getting a head on the next flip is estimated to be 0.81. The probability of getting two heads in a row would be the square of this probability, or 0.81 * 0.81 = 0.6561. The mathematical concept of probability quantifies the possibility that an event will occur. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express it. Events with intermediate probabilities (between 0 and 1) indicate a likelihood of occurrence that is between impossible and certain. The sum of the probabilities of all possible outcomes of an event must equal 1. Probability is used to make predictions and inform decision making in fields such as statistics, finance, and insurance.
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Complete Question
Suppose you toss a coin 100 times and get 81 heads and 19 tails. Based on these results, what is the probability that the next flip results in a head head?
If five people share three cartons of chow mein what is each person’s share
Answer:
1.66
Step-by-step explanation:
hope this helps
Answer:
3/5 or 0.8
Step-by-step explanation:
3 Cartons, divided by 5 people =
3/5 or 0.8
a circular table is painted yellow with a red square in the middle. the radious of the tabletop is 6x. the side length of the red square is 3x. what is the area of the yellow part of the tabletop.
The side length of a square is( 2/3g+1) cm. Use this information to complete parts (a) and (b)
The perimeter of a square with length of a side given as 2/3g + 1 cm is 8/3g + 1 cm.
Let's call the length of a side of the square "s". According to the information given, s = 2/3g + 1 (in cm).
The perimeter of a square is equal to the sum of the lengths of all four sides, so we can write an expression to represent the perimeter as follows:
P = 4s
Substituting the expression for s from above, we get:
P = 4(2/3g + 1)
So, the expression for the perimeter of the square in terms of g is:
P = 4(2/3g + 1)
Therefore, P = 8/3g + 1.
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Complete question: the length of a square is( 2/3g+1)cm use this information to write an expression to represent the perimeter of the square.
The image of a trapezoid is shown.
An isosceles trapezoid with a short base of 3 meters and a height of 5.8 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.
What is the area of the trapezoid?
The area of the trapezoid would be 42.5 m².
What is the area of a trapezoid?
The area of a trapezoid is given by the formula:
Area = (1/2) × (sum of the bases) × height
where the bases are the two parallel sides of the trapezoid and the height is the perpendicular distance between the bases.
The parameters of the trapezoid are;
Short base length = 3 m
Height = 5
Large base length = 4 + 3 + 7 = 14 m
Thus;
Area of a trapezoid = 1/2 * (Short base + Large base) * h
Area = 1/2 * (3 + 14) * 5
= 1/2 * 17 * 5
= 42.5 m²
Hence, the area of the trapezoid would be 42.5 m².
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each of two persons tosses three fair coins. what is the probablity they obtain same number of heads
The probability of obtaining the same number of heads is 3/8 or 0.375 when each of two persons tosses three fair coins.
The probability that two persons will obtain the same number of heads depends on the number of possible combinations of heads and tails that can be obtained by each person.
Since each coin flip results in either a heads or tails, there are 2 possible outcomes for each flip. Therefore, for three coin flips,
there are 2^3 or 8 possible combinations of heads and tails.
Out of these 8 combinations, there are 3 in which both persons have the same number of heads (i.e., 0 heads, 1 head, or 3 heads).
So, the probability of obtaining the same number of heads is 3/8 or 0.375.
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The vertices of △JKL are J(−3, −2), K(1, 4), and L(4, 2). Find the vertices of the image of △JKL under the dilation centered at the origin with scale factor 5.
The coordinate pairs of vertices D₅ (△JKL) of are J'(-15,-10), K'(5,20) and L'(20,10).
What does a math definition of a coordinate plane mean?
A surface with two dimensions known as the coordinate plane is created by two number lines. The x-axis is a single number line that runs horizontally. The y-axis is the name given to the vertical number line that is the other number line.
A place known as the origin is where the two axes collide. To graph points, lines, and other things, we can utilize the coordinate plane.
We know that, D₅ (△JKL) means triangle JKL dilated by scale factor 5 with origin as center of dilation.
If a figure is dilated by factor k and origin is the center of dilation, then
( x, y ) ⇒ ( kx , ky )
From the given problem, the rule of dilation is
( x , y ) ⇒ ( 5x , 5y )
Now
J( -3 , -2 ) ⇒ J'( 5(-3), 5(-2)) = J'( -15 , -10 )
K( 1,4 ) ⇒ K'(5(1) , 5(4)) = K'( 5,20 )
L( 4,2 ) ⇒ L'(5(4), 5(2)) = L'( 20,10 )
Therefore, the coordinate pairs of vertices D₅ (△JKL) of are J'(-15,-10), K'(5,20) and L'(20,10).
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express 2x^2 + 8x in the form a(x + b)^2 + c
The vertex form equivalent to the given expression; 2x² + 8x as required to be determined in the task content is; 2 (x + 2)² + 8.
What is the vertex form equivalent of the expression?The vertex form equivalent of the given expression can be determined as follows;
2x² + 8x
2 (x² + 4x)
2 ( (x + 2)² + 4)
= 2 (x + 2)² + 8.
Ultimately, the vertex form equivalent of the given expression as required is; 2 (x + 2)² + 8.
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Pleas help with this homework
Using substitution method, the value of x and y are -13/3 and 2/3 respectively
What is system of linear equationA system of linear equations is a set of two or more linear equations with the same variables. The solution to the system is the set of values for the variables that satisfies all of the equations simultaneously. The variables represent unknown values that we are trying to solve for, and each equation provides a constraint on those variables.
To find the value of x and y, we can use substitution method.
4x + 8y = 12 ...eq(i)
x + 2y = -3 ...eq(ii)
From eq(ii)
x = -3 + 2y ...eq(iii)
Put eq(iii) into eq(i)
4(-3 + 2y) + 8y = 12
-12 + 8y + 8y = 12
-12 + 16y = 12
16y = 24
y = 2/3
Put y = 2/3 in eq(ii)
x + 2(2/3) = - 3
x + 4/3 = -3
x = -13/3
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Find y in equilateral AABC. (A) 90° (B) 70° (C) 60° (D) 45°
Variable y in equilateral 60°, Thus correct option is C) 60°.
What does an equilateral triangle mean?An equilateral triangle is one with equal-sized sides on all three sides and angles that can all reach a maximum of 60 degrees. An equilateral triangle is a triangle with three equal sides, also referred to as a "regular" triangle. Since all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle. Three equal angles of 60 degrees also make up an equilateral triangle.
The sum of all the angles in a triangle is 180.
It is given that the triangle ABC is an equilateral triangle.
So ∠A+∠B+∠C =180°
∠A=B=∠C
3∠A=180°
∠A=60°
Therefore y in ΔABC is C) 60°
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a poll is given, showing 61% are in favor of a new building project. let x be the number of people who favor the new building project when 25 people are chosen at random. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 16 people out of 25 favor the new building project? what is the probability that at least 16 people out of 25 favor the new building project? what is the probability that at most 16 people out of 25 favor the new building project? what is the probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project?
The probability that exactly 16 people out of 25 favor the new building project is 0.1285.
The probability that at most 16 people out of 25 favor the new building project is 0.3528.
The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.
A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.
The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.
In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.
Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.
To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:
[tex]P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}[/tex]
where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.
Plugging in the values, we get:
P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285
Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.
To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.
Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.
Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.
To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.
Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,
P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528
We can do this using the binomial probability formula for each possible value of k, and then summing the results.
P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)
Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:
P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088
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Tanner is 2 years younger than his
brother. Tanner's age t in years is 2
less than his brother's age b.
dependent variable:
independent variable:
equation:
The equation will be:
t = b - 2
And we can see that:
independent variable = brother's age.dependent variable = Tanner's age.How to identify the variables?Here we have two variables:
t = taner's age
b = age of Tanner's brother.
The independent variable is the one that does not depend on the other, in this case (for how it is worded) is the brother's age.
The dependent variable depends on the other, on this case, Tanner's age.
Now let's write the equation, we know that Taner's age is 2 years less than his brother, then:
t = b - 2
That is the equation.
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what do i do if there is a word problem with x but there isnt a number for x
You might need to utilise algebra to answer for the variable x in a word problem if there isn't a particular number provided for it.
Create an equation involving x using the information provided.
For instance, if the question is, "What is the value of x if x is 5 more than twice y and y is 3?" you may write up an equation like this:
x = 5 + 2y
x = 5 + 2(3) (3) (Replace y = 3)
x = 11
By changing the supplied value of y, you can answer for x in this situation by first solving the ensuing equation.
You might need to utilise many equations and algebraic techniques like substitution, elimination, or graphing to solve for x if the issue is more complicated. It could be beneficial to divide the problem into smaller steps and work through each step methodically if you are unclear of how to proceed.
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This is the correct answer
Answer: yes
Step-by-step explanation:
8. Gianna is making bows for her cheerleading squad. She has 4 yards of ribbon to make the
bows. If each bow requires 1/5 a yard of ribbon, will she have enough ribbon to make 18 bows?
Using the concept of proportion, Gianna will have enough yards to make 18 bows
Will she have enough ribbon to make 18 bowsTo solve this problem, we need to apply the concept of proportions.
In order to make 1 bow, she needs 1/5 yard of ribbon
Representing this in an equation form will be;
1 bow = 1/5 yard
18 bow = x yard
cross multiply both sides and solve for x
x * 1 = 18 * (1/5)
x = 3.6 yards
From the above, there will be enough yards to make 18 bows.
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a researcher records the following data: 4, 4, 4, 4, and 3. how would you describe the variability of these data? group of answer choices it is negative because 3 is less than the other scores in the distribution. it is very small (close to 0) because scores are approximately the same. it is very large (much greater than 0) because 3 is an outlier in the data. it is equal to zero because scores are approximately the same.
The variability of the data is very small (close to 0) because all the scores are approximately the same.
The variability of these data can be calculated using the variance formula, which is the average squared difference from the mean. In this case, the mean is 3.8 (the sum of 4, 4, 4, 4, and 3 divided by 5). Therefore, the variance is 0.08 (the sum of the squared differences [4-3.8, 4-3.8, 4-3.8, 4-3.8, 3-3.8] divided by 5). This indicates that the variability of the data is very small (close to 0) because all the scores are approximately the same.
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5. People Population The country of Elbonia was established in 2012. Its population at the time was 5
million and is growing at an annual rate of 3.2%. The neighboring country of Neecapia was established
at the same time. Its population was 4.1 million and is growing at an annual rate of 6.5%.
Answer:
Step-by-step explanation:
yes because the montly rate is 6.5%
A and be are both negative integers with a>b. Classify these are true or false. A) b
The statement "sum of a and b integers is a negative integer" is true given that A and B are both negative integers and A is greater than B.
When we add two negative integers, the sum is always negative. This is because adding a negative number is the same as subtracting its absolute value. Therefore, if A and B are negative integers, then A + B will be negative as well.
Since A > B, the sum A + B will be closer in value to A than to B. However, it will still be negative because A and B are both negative integers.
So, the sum of A and B is a negative integer, and the statement is true.
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____ The given question is incomplete, the complete question is given below:
A and B are both negative integers with a>b. Classify this are true or false. sum of a and b integers is a negative integer.
Phillips company bought 40 percent ownership in jones bag company on january 1, 20x1, at underlying book value. During the period of january 1, 20x1, through december 31, 20x3, the market value of phillips' investment in jones' stock increased by $2,000 each year. In 20x1, 20x2, and 20x3, jones bag reported the following: Year Net Income Dividends
20X1 $ 8,000 $15,000 20X2 12,000 10,000 20X3 20,000 10,000 The balance in Phillips Company’s investment account on December 31, 20X3, was $54,000.
Required:
In each of the following independent cases, determine the amount that Phillips paid for its investment in Jones Bag stock assuming that Phillips accounted for its investment by carrying the investment at fair value, or using the equity method.
Fair value $
Equity method $
The initial investment cost using the equity method would be:
Investment account balance + Phillips' share of retained earnings = Initial investment cost = $54,000 + $10,400 = $64,400
Fair Value Method:
The cumulative increase in fair value over the three years would be:
$2,000 + $2,000 + $2,000 = $6,000
Therefore, the initial investment cost would be:
$54,000 - $6,000 = $48,000
Equity Method:
By the equity method, Phillips would have recorded its share of Jones Bag's earnings each year, as well as its share of dividends received. Phillips' share of Jones Bag's earnings and dividends would be based on its 40% ownership interest.
Phillips' share of Jones Bag's earnings and dividends would be as following:
Year Earnings Dividends
20X1 $3,200 $6,000
20X2 $4,800 $4,000
20X3 $8,000 $4,000
$40,000 - $14,000 = $26,000
Phillips' share of retained earnings would be 40% of $26,000, or $10,400.
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State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.
Answer:
ASA
Step-by-step explanation:
There are two pairs of congruent angles, and the pair of congruent sides is included between the angles.
A plane is flying at a speed of 175 miles per hour.
The pilot plans on flying at this speed for the next
250 miles, plus or minus 25 miles. Find
the minimum and maximum number of hours th
plane will travel at that speed.
The maximum number of hours is 1.6 hours and the minimum number of hours is 1.6 hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, a plane is flying at a speed of 175 miles per hour.
The distance covered by the pilot, d = 250 ± 25 miles
We know that, speed = Distance/Time
The equation for the maximum number of hours is given as;
175 =(250+25)/t
t=275/175
t=1.6 hours
The equation for the minimum number of hours is given as;
175 =(250-25)/t
175=225/t
t=225/175
t=1.3 hours
Therefore, the maximum number of hours is 1.6 hours and the minimum number of hours is 1.6 hours.
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the state narcotics bureau must form a 5-member investigative team. if it has agents from which to choose, how many different possible teams can be formed?
the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).
Assuming that the state narcotics bureau has more than 5 agents from which to choose, the number of different possible teams that can be formed is equal to the number of combinations of 5 agents out of the total number of agents the bureau has. This can be calculated using the formula nCr (n choose r), where n is the total number of agents and r is the number of agents in each team, which in this case is 5.
Therefore, the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).
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25kg= blank lb i need help plese i have 2 min left
Answer: 25,000 grams
Step-by-step explanation:Really sorry if im wrong.
Solve for X
This was on a Geometry Honors quiz
The value of x in the triangle is 8 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, the sides x of the triangle can be found using proportion as follows:
x / x + 8 = x + 8 / 32
cross multiply
32x = (x + 8)(x + 8)
32x = x² + 8x + 8x + 64
x² + 16x - 32x + 64 = 0
x² - 16x + 64 = 0
Therefore,
x² - 16x + 64 = 0
x² - 8x - 8x + 64 = 0
x(x - 8) - 8(x - 8) = 0
(x - 8)(x - 8) = 0
Therefore,
x = 8
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1. suppose that the students in your class want to have a party at which they will serve punch to drink. the punch the students want to serve is sold in half-gallon containers. if 25 students attend the party and if each student drinks 8 fluid ounces of punch, then how many containers of punch will you need? describe two different ways students could correctly solve this problem. for each method of solving the problem, explain simply and clearly why the method makes sense.
As per the volume, we need to to purchase 4 containers of punch.
To calculate the amount of punch required, we need to find the total volume of punch needed, which can be calculated as follows:
Total volume of punch = number of students * volume of punch per student
= 25 * 8 fluid ounces
= 200 fluid ounces
Now, we know that the punch is sold in half-gallon containers. One gallon is equal to 128 fluid ounces. Therefore, a half-gallon container is equal to 64 fluid ounces. We can use this information to find out how many containers of punch are needed:
Number of containers of punch = Total volume of punch / Volume of punch per container
= 200 / 64
= 3.125
Since we cannot purchase a fractional number of containers, we need to round up to the nearest whole number. Therefore, we need to purchase 4 containers of punch.
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Please answer ASAP What is the value of x? Enter your answer, as a decimal, in the box. Enter the numerical value only.
In the similar triangle, x = 67.5 ft
What are similar triangles?Similar triangles are triangles in which the ratio of their sides are equal.
How to find the value of x?Given the similar triangles, ΔMNP and ΔMAB
By the ratio of similar triangles, we have that
MP/MN = MB/MA
We observe that MN = MA + AN
So, MA = MN - AN
So, MP/MN = MB/MA
MP/MN = MB/(MN - AN)
Given that
MP = 97.5 FT, MN = 71.5 FT, AN = 22 FT and MB = xWe have that
MP/MN = x/(MN - AN)
Making x subject of the formula, we have that
x = (MN - AN)MP/MN
So, substituting the values of the variables into the equation, we have that
x = (MN - AN)MP/MN
x = (71.5 ft - 22 ft)97.5 ft/71.5 ft
x = 49.5 ft × 97.5 ft/71.5 ft
x = 4826.25 ft²/71.5 ft
x = 67.5 ft
So, the value of x = 67.5 ft
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please answer asap i need helpp
Answer:
110°
Step-by-step explanation:
]%}}%¶¢{^[€{¢¶¢¶€¶
Answer: 110˚
Step-by-step explanation:
Complementary angles have a sum of 90˚
With this knowledge, we can say <B = 90 - <A = 90 - 20 = 70˚
Supplementary angles have a sum of 180˚
With this knowledge we can say <C = 180 - <B = 180 - 70 = 110˚
∴ Measure of angle C = 110˚
The equation 7(2W + 3) = 14W + 20 has no solutions. Change one term in the original equation to create a new equation with infinitely MANY solutions.
One term in the original equation that needs to be changed to create a new equation with infinitely many solutions is 20 to 21.
What is an equation?An equation is a mathematical or algebraic statement that shows that two or more mathematical expressions are equal or equivalent.
Equations are depicted using the equal symbol (=), unlike mathematical expressions, which consist of variables, constants, numbers, and values.
7(2W + 3) = 14W + 20 does not have a solution because the first expression is unequal to the second expression and cannot be said to be an equation.
7(2W + 3) = 14W + 21 have many solutions for W.
Thus, changing 20 to 21 gives the original equation an indefinite number of solutions for W.
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Julius went fishing on Saturday morning. He took a cooler to store the fish that he caught. The cooler could hold less than 8 large fish. Write an inequality that represents how many fish the cooler could hold.
8 > f
8 < f
8 ≥ f
8 ≤ f
Answer:
8 < f
8 must be strictly lesser than f, not greater than or equals to.
what value represents the number of ways in which the expected classes are free to vary in the chi‑square goodness‑of‑fit test?
In the chi-square goodness-of-fit test, the number of ways in which the expected classes are free to vary is represented by the degrees of freedom (df) of the test.
The degrees of freedom for the chi-square goodness-of-fit test are calculated as df = k - 1, where k is the number of categories or classes being compared.
In this test, we compare the observed frequencies in each category with the expected frequencies, assuming that the null hypothesis is true. The null hypothesis is that there is no significant difference between the observed and expected frequencies, and any deviation between the two is due to chance.
The degrees of freedom are the reflection of the number of independent pieces of information that are available to estimate the expected frequencies.
The more degrees of freedom, the more likely it is that the observed frequencies could be due to chance, and the less significant the test result will be. Conversely, fewer degrees of freedom means that the observed frequencies are more likely to be significantly different from the expected frequencies, and the test result will be more significant.
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What is the area of this compound figure?
the answer is 66
its easy... you posted this as high-school... this is 6th grade work
Area is 69 km2
………..,……….
