Answer:
x = 12
Step-by-step explanation:
Multiply each side by 10:
x/10 × 10 = 6/5 × 10
x = 6/5 × 10/1
x = 12
1. (5x² - 6x +2)+(9x + 10x - 7) -
what is the answer?
Answer:
Step-by-step explanation:
the way it is written, the answer is
5x^2 - 6x + 2 + 19x - 7
5x^2 + 13x - 5 is the answer.
However I suspect you mean
5x^2 - 6x + 2 + 9x^2 + 10x - 7
14x^2 + 3x - 5 is the answer if the revision I've made is correct.
Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.
Please do give the correct answer by showing your work, other ways I will report you!
We have one possible triangle, ABC, with angles A = 33 degrees, B ≈ 82.2 degrees, and C ≈ 64.8 degrees, and sides a = 15 in., b ≈ 16.7 in., and c ≈ 12.6 in.
How to Solve the Problem?We can use the sine formula to find the length of side b:
sin(A) = opposite/hypotenuse
sin(33) = 9/b
b = 9/sin(33) ≈ 16.7 in.
Now, we can use the law of cosines to find the length of side c:
c^2 = a^2 + b^2 - 2abcos(C)
cos(C) = (a^2 + b^2 - c^2)/(2ab)
cos(C) = (15^2 + 16.7^2 - c^2)/(215*16.7)
cos(C) ≈ 0.417
C ≈ 64.8 degrees
So we have one possible triangle, ABC, with angles A = 33 degrees, B ≈ 82.2 degrees, and C ≈ 64.8 degrees, and sides a = 15 in., b ≈ 16.7 in., and c ≈ 12.6 in.
However, we could also have another triangle, DEF, with angles D = 147 degrees, E ≈ 82.2 degrees, and F ≈ 10.8 degrees, and sides d = 9 in., e ≈ 16.7 in., and f ≈ 15 in. This is because the given measurements only determine the ratios of the sides of a triangle, and it is possible to construct a triangle with the given ratios but with different angles.
Therefore, there are two distinct triangles that can be made with the given measurements.
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125 ) ^ n / 2 = 1
please help me
The value of n in the equation (125)^n/2 = 1 is 0
How to evaluate the equation?The equation is given as:
(125)^n/2 = 1
Express 125 as 5^3 and 1 as 5^0
So, we have:'
(5^2)^n/2 = 5^0
Evaluate the product of exponent
5^n = 5^0
By comparison, we have:
n = 0
Hence, the value of n in the equation (125)^n/2 = 1 is 0
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Identify the radii of the given circle check all that apply
The radii of circle are AB, AC and AE.
The radius of a circle is the distance from the center of the circle to any point on its circumference. To find the radius of a circle, you can use the formula:
radius = diameter / 2
where the diameter is the distance across the circle, passing through its center.
Here, in this figure we need to identify the radii. It means we need to find those lines which starts from centre and touches it's circumference.
Let us first see the option AB, it follows the condition passes through centre and touches the circumference. So, it is radius of circle.
Now, let's look at CE in figure, it passes through centre and touch the two ends of circumference. So, it is diameter not radius.
Now, AC satisfies the condition of radius. So, AC is radius.
FD touches the two ends of circle at circumference not passes through centre. So, it is chord not radius.
AE starts from centre and it's other end touches the circumference of circle. So, it is radius.
So, the radii of circle in given figure are : AB, AC and AE.
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What is the expression in factored form?
5x² - 7x-6
O
(5x-2)(x-3)
(x + 3)(5x - 2)
O (5x + 3)(x - 2)
O (5x + 3)(x + 2)
A fitness instructor purchases exercise bikes and treadmills for two gyms. For the first gym, 2 exercise bikes and 3 treadmills cost $2200. For the second gym, 3 exercise bikes and 4 treadmills cost $3000. How much does a treadmill cost?
The cost is 600$ for each treadmill and 200 for each bike.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
2 exercise bikes and 3 treadmills cost $2200.
3 exercise bikes and 4 treadmills cost $3000.
solving, we get,
6b+9t=6600
6b+8t=6000
i.e. t=600
Hence, the cost is 600$ for each treadmill and 200 for each bike.
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can anyone help me with this question please asap !! thank you in advance !!!!!
Answer:
31/35
Step-by-step explanation:
3/5 + 2/7 = (3 × 7) / (5 × 7) + (2 × 5) / (7 × 5)
= 21/35 + 10/35
= 31/35.
Describe and correct the error the student made when writing the equation of the line that passes through (-8,5) and is perpendicular to y = 4x+2.
Option D (The student should have used as the slope of the perpendicular line.) is correct.
Step-by-step explanation:
We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2
The slope of the required line would me -1/m because both lines are perpendicular.
So, slope of new line will be: -1/4
because the equation of slope-intercept form is: where m is the slope
Now, for finding equation the student used point slope form i.e
where y_1 and x_1 are the points and m is the slope.
Putting values:
x_1=-8, y_1=5 and m=-1/4
y-5=-1/4(x-(8))
y-5=1/4(x+8)
y-5=1x/4-2
y=-1x/4-2+5
y=-1x/4+3
is the solution
The student made error by using the wrong slope he used 2 instead of -1/4
in the step y-5 =2 (x-(8))
So Option D
Using the slope - intercept relation, the equation of the perpendicular line which passes through (-8, 5) is ; \(\frac{-1}{4}x + 3 \)
Given the slope - intercept relation :
y = 4x + 2Slope of the line = 4
Since, the line is perpendicular ; the slope of the line passing through it will be the negative reciprocal ;
Negative Reciprocal of 4 = \(\frac{-1}{4} \)
Using the points (-8, 5) ; we obtain the intercept, c :
x = -8 ; y = 5
5 = -1/4(-8) + c
5 = 2 + c
c = 5 - 2
c = 3
Hence, the equation of the perpendicular line is ; \(\frac{-1}{4}x + 3 \)
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I"M TIMED!!! PLSSSSSSSSSS HELPPPPPPPPPPP
Drag and drop the numbers and symbols into the boxes to form an expression that represents this phrase:
8 more than quotient of 12 and 6
Which Order Do I Put It In?
the expression is "2 + 8." To find the quotient of 12 and 6, divide 12 by 6. The result is 2.
Step 1: Add 8 to the quotient.
Now, add 8 to the quotient found. The expression is "quotient + 8."
Step 2: Write the final expression.
The final expression that represents "8 more than quotient of 12 and 6" is "quotient + 8."
So, the expression is "2 + 8."
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a simple random sample of 500 individuals provides 150 yes responses. a. what is the point estimate of the proportion of the population that would provide yes responses (to 2 decimals)?
The point estimate of the proportion of the population that would provide yes responses can be calculated by dividing the number of yes responses in the random sample by the size of the sample.
Therefore, the point estimate is 150/500 = 0.30 or 30% (to 2 decimals). It's important to note that this estimate is based on a random sample and may differ from the actual proportion of the population.
Step 1: Identify the number of yes responses (150) and the total number of individuals in the sample (500).
Step 2: Calculate the proportion by dividing the number of yes responses by the total number of individuals in the sample. In this case, it would be 150 divided by 500.
Step 3: Convert the proportion to a decimal by performing the division. This will give you 0.3.
Step 4: Round the decimal to 2 decimal places, as requested. In this case, 0.3 is already rounded to two decimal places.
So, the point estimate of the proportion of the population that would provide yes responses is 0.30 (to 2 decimals), based on the random sample provided.
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i willllllll giver brainliest, 5 stars, and thankssss if correct ( I got one more question after this)
Answer:
56 degrees
Step-by-step explanation:
-28-4p=-4(p+7) please answer
suppose i have an organization that has 60 members, i'm going to pick one person at random to be the president, another person to be the vice president, and a third person to be the treasurer. how many ways can this be done?
There are 205,320 ways to select one person to be the president, one person to be the vice president, and a third person to be the treasurer from a group of 60 members.
The number of ways to select the president from the 60 members is 60, since any one of the 60 members can be chosen.
Once the president has been chosen, there are only 59 members left to choose from for the vice president. Therefore, there are 59 ways to select the vice president.
Similarly, after the president and vice president have been chosen, there are only 58 members left to choose from for the treasurer. Therefore, there are 58 ways to select the treasurer.
Using the multiplication principle of counting, the total number of ways to select one person to be the president, one person to be the vice president, and a third person to be the treasurer is
60 x 59 x 58 = 205,320
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If x = t^3 - t and y = Squareroot 3t + 1, then dy/dx at t = 1 is 3/8 1/8 8/3 8 3/4
If x = \(t^3\) - t and y = \(\sqrt{3t + 1}\), then dy/dx is 3/8 at t = 1.
To find dy/dx at t=1, we need to first find dx/dt and dy/dt, and then use the chain rule.
1. Find dx/dt:
x = \(t^3\) - t
Differentiate with respect to t:
dx/dt = \(3t^2\) - 1
2. Find dy/dt:
y = sqrt(3t + 1)
Differentiate with respect to t:
dy/dt = 1/2 * \((3t + 1)^{(-1/2)}\) * 3
dy/dt = 3/(2 * \(\sqrt{(3t + 1)}\))
3. Use the chain rule to find dy/dx:
dy/dx = (dy/dt) / (dx/dt)
4. Plug in the values at t = 1:
dx/dt (t=1) = \(3(1)^2\) - 1 = 2
dy/dt (t=1) = 3/(2 * \(\sqrt{(3(1) + 1)}\)) = 3/4
5. Calculate dy/dx at t = 1:
dy/dx = (3/4) / 2 = 3/8
So, the answer is 3/8.
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Ann had 96 filers to post around town. Last week, she posted 1/4 of them. This week, she posted 1/3 of the remaining filers. How many filers has she still not posted
Answer:
48 [fliers]
Step-by-step explanation:
Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.
Anyone? Pleasee help
Answer:
Angle 1 = 128
Angle 2 = 52
Angle 3 = 68
Angle 4 = 60
Angle 5 = 124
Step-by-step explanation:
Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.
I hope this helps!
Kylie is creating a scale drawing of her bedroom. The actual length of her bodis 75 inches fi inch on her drawing represents 2 feel how long should her bed
be in the drawing?
Answer:
77 feet
Step-by-step explanation:
Suppose someone claims the average delivery time for u.s. packages to be delivered during december is 2 days. you believe it takes longer than that. you conduct a hypothesis test; what are your hypotheses?
There is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.
How to conduct a hypothesis test?Set up the null hypothesis (H0), alternative hypothesis (Ha).
In this case, our null hypothesis would be that the average delivery time for U.S. packages are pending to be delivered during December is equal to 2 days:
H0: μ = 2
Our alternative hypothesis would be that the average delivery time for U.S. packages to be delivered during December is longer than 2 days:
Ha: μ > 2
Where μ represents the population mean delivery time.
So our hypotheses would be:
H0: μ = 2 (null hypothesis)
Ha: μ > 2 (alternative hypothesis)
We will then conduct a statistical test to determine if there is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.
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If someone claims that the average delivery time for U.S. packages during December is 2 days, and you believe it takes longer than that, then you can conduct a hypothesis test to determine if your belief is statistically significant or not.
Your hypotheses for this test would be as follows:
Null Hypothesis (H0): The average delivery time for US packages during December is equal to 2 days.
Alternative Hypothesis (Ha): The average delivery time for U.S. packages during December is greater than 2 days.
The null hypothesis represents the status quo or the claim that is being made. The alternative hypothesis represents your belief or the claim that you are testing. To conduct the hypothesis test, you would need to collect a sample of delivery times during December and use statistical analysis to determine if the sample mean is significantly different from 2 days.
If the sample mean is significantly greater than 2 days, then you would reject the null hypothesis and conclude that the average delivery time is longer than 2 days during December. However, if the sample mean is not significantly different from 2 days, then you would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the average delivery time is longer than 2 days during December.
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50 minus 17 4/6 plzzzzzzzzzz answer rn
Answer:
32 1/3 or 2/6
Step-by-step explanation:
but 1/3 is better
Answer:
decimal form= 32.3
Step-by-step explanation:
fraction form 32 1/3
Which of the following statements must be true about this diagram? Check all that apply.
The following are the true statements are
m<4 is greater than m<2
m<4 is greater than m<1
m<1 + m<2= m<4
What is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
As, by property
m<1 + m<2= m<4
and, the measure of each individual angle is less than angle 4.
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If Susan and her husband have four children, what is the probability that none of the four will have galactosemia
The probability that none of the four children will have galactosemia, assuming neither Susan nor her husband carries the gene, is approximately 0.99995 or 99.995%
To determine the probability that none of the four children will have galactosemia, we need to know the prevalence of galactosemia in the general population.
Galactosemia is a rare genetic disorder, and the prevalence can vary depending on the population studied.
Let's assume that the prevalence of galactosemia is 1 in 20,000 births, which is a rough estimate for some populations. This means that the probability of a randomly selected individual having galactosemia is 1/20,000.
Since galactosemia is a genetic disorder, we also need to consider whether Susan and her husband carry the gene for galactosemia. If neither Susan nor her husband carries the gene, the probability that any of their children will have galactosemia is extremely low.
Let's assume that both Susan and her husband are not carriers of the gene for galactosemia. In this case, the probability that each of their children will not have galactosemia is 1 - (1/20,000), which is essentially equal to 1.
Since the events of having galactosemia or not having galactosemia in each child are independent, we can multiply the probabilities together to find the probability that none of the four children will have galactosemia:
P(None of the four children have galactosemia) = (1 - 1/20,000)^4
Calculating this probability gives us approximately:
P(None of the four children have galactosemia) ≈ 0.99995
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The radial probability function for a 2 s orbital is shown here. Classify the following statements as either true or false: (a) There are two maxima in this function because one electron spends most of its time at an approximate distance of 0.5 A from the nucleus and the other electron spends most of its time at an approximate distance of 3 A from the nucleus. (b) The radial probability function shown here and the probability density
both go to zero at the same distance from the nucleus, approximately 1 A. (c) For an
orbital, the number of radial nodes is equal to the principal quantum number,
(a) False. The radial probability function does not represent the positions of individual electrons, but rather the probability of finding an electron at a particular distance from the nucleus. (b) False. The radial probability function and probability density do not go to zero at the same distance. (c) True. For an ns orbital, the number of radial nodes is equal to the principal quantum number.
(a) The radial probability function represents the probability of finding an electron at a specific distance from the nucleus. It does not indicate the positions of individual electrons. The function may have maxima or peaks at certain distances, but it does not imply that each electron is located at those specific distances. Therefore, the statement is false.
(b) The radial probability function and probability density are related but represent different aspects. The radial probability function describes the probability of finding an electron at a particular distance, while the probability density represents the probability of finding an electron within a small volume around a point in space. They do not go to zero at the same distance from the nucleus. The radial probability function typically goes to zero at larger distances, while the probability density decreases but does not necessarily reach zero at the same distance. Therefore, the statement is false.
(c) The number of radial nodes in an orbital is indeed equal to the principal quantum number (n). For an ns orbital, where the angular momentum quantum number (l) is 0, the number of radial nodes is equal to n - 1. This means that an ns orbital with a principal quantum number of 2 (n = 2) will have one radial node. So the statement is true.
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The average expenditure for hip replacement is $12,485 for country A and 14,438 for country B. the P value(two tailed) is 0.063. What do the data determine in this scenario? a. if average expenditure in country A can predict expenditure in country B b. if there is a relationship in average expenditure between the two countries c. if there is difference in average expenditure between the two countries d. if the average expenditure in country A and country B are normally distributed A sample of rural residents was surveyed to determine the number of times for residents saw a primary care provider in one year. On average, the participants saw their provider 3.3 times per year. ( 95% confidence interval 0.1 to 6.1 ) why was this of statistical use for this sample? a. It was a count variable b. It was a categorical variable c. It is a binary variable d. It is a ratio variable Administrators at a rural hospital want to determine causes for their financial distress. In doing so, they have identified that the average operating margin for a rural hospital is −1.32% (stander deviation is ±0.89% ) Why is the average operating margin appropriate to use in this situation? a. It is a measure of the fifth percentile b. it identifies the range of the data c. it identifies the outliers in the data d. it is a measure of central tendency Ebola is transmitted through human contact. although relief agencies sent medical team to provide treatment the impacted communities prefer to maintain isolation against outsiders. the distrust of outsiders 'cause a hesitancy to accept treatment. which consideration factor will ultimately contribute to the spread of Ebola? a. the influence of non-indigenous people b. the population density of the affected area c. dry and air climates which suits the virus d. the cultural influence of the community Last year a developing country had 1500 reported cases of malaria. during that time there were 400 deaths reported from the disease: 300 of the disease were people over age 18 , in 100 deaths were people underage 18 . What is the case fatality rate? 100∗100/400=25 400∗10/1500=2.67 100∗10/400=2.5 400∗100/1500=26.67
The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).
For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.
In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).
For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).
In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.
For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.
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There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. If you reach in and randomly draw two marbles without replacing the first, what is the probability that both will be green?
1/30
19/49
It's not 1/20 or 7/20
Please Help I don't get this
Answer:
The choose (D)
Step-by-step explanation:
\( \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } \)
f(1)=6 f(n) =1/3f(n-1)what are the first 5 terms?
f(n-1) is the term previous to n.
As you know the 1st term, use to find the 2nd term :
\(\begin{gathered} f(2)=\frac{1}{3}f(2-1) \\ \\ f(2)=\frac{1}{3}f(1) \\ \\ f(2)=\frac{1}{3}(6) \\ \\ f(2)=2 \end{gathered}\)Use 2nd term to find the 3rd term:
\(\begin{gathered} f(3)=\frac{1}{3}(2) \\ \\ f(3)=\frac{2}{3} \end{gathered}\)Use 3rd term to find 4th term:
\(\begin{gathered} f(4)=\frac{1}{3}\cdot\frac{2}{3} \\ \\ f(4)=\frac{2}{9} \end{gathered}\)Use 4th term to find 5th term:
\(\begin{gathered} f(5)=\frac{1}{3}\cdot\frac{2}{9} \\ \\ f(5)=\frac{2}{27} \end{gathered}\)Then, the correct answer is A. 6,2, 2/3, 2/9, 2/27
simplify 3 times 2 to the power of 4
Answer:
3x16
Answer to the equation:
48
Step-by-step explanation:
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
on the basis of your answer to (c), do you think that it is possible to construct a images matrix with linearly independent columns? how about a images matrix with linearly independent rows?
It should be noted that it is possible to construct a matrix with linearly independent columns. This means that no one column can be represented as a linear combination of the other columns. In this case, the columns are said to span the space of the matrix.
How to explain the matrixIt is also possible to construct a matrix with linearly independent rows. This means that no one row can be represented as a linear combination of the other rows.
In this case, the rows are said to span the space of the matrix. In general, the rows and columns of a matrix may or may not be linearly independent, depending on the specific matrix and the basis used to represent it.
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After shooting foul shots for 5 minutes, the
player had made 25 shots out of 60. What is
the probability in the big game that if he needs
to make two free throws to win the game in a
row he will do so?
The probability that the player will make two free throws in a row to win the game is approximately 0.1736 or 17.36%.
How to determine the probabilityGiven information:
Number of successful shots (made free throws) in 5 minutes: 25
Total number of shots attempted in 5 minutes: 60
To find the probability of making a single free throw, we divide the number of successful shots by the total number of shots attempted:
Probability of making a single free throw = Number of successful shots / Total number of shots attempted
Probability of making a single free throw = 25 / 60 = 5/12
Now, to calculate the probability of making two free throws in a row, we multiply the probability of making a single free throw by itself:
Probability of making two free throws in a row = (Probability of making a single free throw)^2
Probability of making two free throws in a row = (5/12)^2 = 25/144 ≈ 0.1736
Therefore, the probability that the player will make two free throws in a row to win the game is approximately 0.1736 or 17.36%.
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