The probability of Mark hitting the bull's-eye on the fourth shot, assuming he misses the first three times, is 8.64%. This is calculated as the product of the probabilities of each event occurring independently.
Explanation:This is indeed a problem related to probability, particularly, this pertains to the concept of an independent event in statistics. Mark's success in shooting an arrow accurately to the target is an independent event because the outcome of one shot doesn't affect the outcome of other shots.
In Mark's case, he hits the bull's-eye about 40% of the time, i.e. his success rate P(Success) is 0.40 and his failure rate P(Failure) is 0.60. Since the question asked about the probability of him hitting the bull's-eye on the fourth shot, we should look at the first three shots being failures and only the fourth being a success.
This leads us to the calculation: P(FFFH) = P(F) x P(F) x P(F) x P(H) = (0.60)*(0.60)*(0.60)*(0.40) = 0.0864 or 8.64% chance.
So, there's an 8.64% chance that Mark will hit the bull's-eye on the fourth shot given that he misses the first three.
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The probability that Mark hits the bull's-eye on his fourth shot, given he typically hits the bull's-eye 40% of the time, is 0.0864 or 8.64%
Explanation:The problem is about the probability that Mark hits the bull's-eye on the fourth shot given that he hits the bull's-eye about 40% of the time. In these cases, for the first three shots, he should not hit the bull's-eye (probabilty of 60%) and on the fourth trial, he should hit the bull's-eye (probability of 40%). Therefore, we multiply the individual probabilities together to find the answer.
Step 1: Find the probability that he does not hit the bull's-eye in the first three trials. This is (0.6)*(0.6)*(0.6) = 0.216.
Step 2: Find the probability that he hits the bull's-eye on the fourth trial. This is simply 0.4.
Step 3: Multiply the two probabilities together to find the final answer. This gives us 0.216*0.4 = 0.0864.
So, the probability that Mark hits the bull's-eye on the fourth shot is 0.0864, or 8.64%.
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Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?
Answer:
Gina=35, Sara=33
Step-by-step explanation:
Gina's number is 2 more than Sara's.
Lets start by saying cookies as the number.
Sum = 2 numbers add together. The answer to the equation. Lik 5+5=10. 10 is the sum.
You only know that Gina has 2 more cookies than Sara.
If Sara has 3 cookies then Gina has 5 cookies. Whats the Sum? 8.
So, you figure out an random big number but, smaller than 68.
Lets do 68 to try now. So you do 68/2 = 34. You remember that Gina has 2 more than Sara. So, 35 cookies for Gina. So, you can guess that Sara has 33 cookies.
Find the 55th derivative of y = cos(3x).
Final answer:
The 55th derivative of y = cos(3x) is recognized by repeating the derivative patterns of cosine functions and is found to be -27cos(3x).
Explanation:
The 55th derivative of y = cos(3x) can be found by recognizing that the derivatives of sine and cosine functions repeat every four steps. Considering the pattern cos(x) -> -sin(x) -> -cos(x) -> sin(x) -> cos(x), and that the derivative of cos(3x) is -3sin(3x), we can determine that the pattern repeats every four derivatives with a factor of 3n, where n is the number of times the derivative is taken.
The 55th derivative will be the same as the third derivative in the cycle, but with an iteration count of 55/4, which leaves a remainder of 3, so the 55th derivative will be -27cos(3x).
5x-4(2x+11)=13
solve for x
show all work please
Identify the coefficients and variables in each expression. 5j-9cd+2 ??
Use a trigonometric ratio to find the length of side ST.
What's the answer to
4.5 divided by 1.8
The united states has 12,383 miles of coastline. If 0.8% of the coastline is located in Georgia, about how many miles of coastline are in Georgia
Answer:
99.064 miles of coastline are in Georgia.
Step-by-step explanation:
Consider the provided information.
The united states has 12,383 miles of coastline and 0.8% of the coastline is located in Georgia.
Now we need to find about how many miles of coastline are in Georgia.
Thus solve this as shown:
0.8% of 12,383
[tex]\frac{0.8}{100} \times 12,383[/tex]
[tex]0.008 \times 12,383[/tex]
[tex]99.064[/tex]
Hence, 99.064 miles of coastline are in Georgia.
Can someone please help me and like show and explain how to get the answer?
Layla is on page 30 of her book and reads 3 pages every night. Sidney is on page 40 of the same book and reads 2 pages every night. How long will it take for Layla to be further in the book than Layla?
A) 3 nights
B) 11 nights
C) 15 nights
D) 71 nights
Solve for a.
7a-2b=5a-b
Answer: a=-3b
2
Step-by-step explanation:
get all letters on the same side so:
7a-5a (because when you cross the = you do the opposite)=-b+2b
2a=b
you are solving for a so: 2a/2=b/2
so the 2 cancel out and you have a=1/2b
what can be divided thit number 288
40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
I’m stuck on 5-6. Please help if you could explain the answer also that would be awesome
The answer to the first question is "b. one," according to Euclid's First Postulate. The answer to the second question is "c. infinitely many," according to Euclid's Second Postulate. These principles form the foundation of Euclidean geometry.
In Euclidean geometry, there are fundamental postulates and theorems that govern the behavior of lines and angles in triangles. Let's address your questions:
1. How many lines can be drawn through point A perpendicular to segment BC?
Answer: There can be only one line drawn through point A that is perpendicular to segment BC. This follows from Euclid's First Postulate, which states that a straight line can be drawn between any two points. In this case, the straight line from point A to any point on segment BC is unique and perpendicular.
2. How many lines can be drawn through point C perpendicular to segment AB?
Answer: Infinitely many lines can be drawn through point C that are perpendicular to segment AB. This is based on Euclid's Second Postulate, which states that a straight line can be extended infinitely in both directions. So, you can draw as many lines as you like, all of which are perpendicular to segment AB, and they will extend infinitely in both directions.
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completa cada enunciado y escribe la proporción correspondiente. si por cada 21.000 se compran tres agendas ¿ con cuanto se compran nueve?
The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers
3x-43=8 slove the equation
what is 50/12 in a mixed number
Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?
The number of hours will they be 280 miles apart will be 2 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.
The relative speed is given as,
S = 77 + 63
S = 140 miles per hour
The number of hours will they be 280 miles apart will be calculated as,
Time = 280 / 140
Time = 2 hours
The number of hours will they be 280 miles apart will be 2 hours.
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Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?
The value of x is 15.
What is parallelogram?"It is a quadrilateral with opposite sides parallel.""The opposite angles of parallelogram are equal. "For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? Enter your answer in the box
Step 1
Find the slope of the given line
we have
[tex]3x+4y=15[/tex]
Isolate the variable y
Subtract [tex]3x[/tex] both sides
[tex]3x+4y-3x=15-3x[/tex]
[tex]4y=-3x+15[/tex]
Divide by [tex]4[/tex] both sides
[tex]y=-\frac{3}{4}x+ \frac{15}{4}[/tex]
the slope of the given line is
[tex]m=-\frac{3}{4}[/tex]
Step 2
Find the equation of the line that passes through the point [tex](8,-2)[/tex] and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{4}[/tex]
[tex](x1,y1)=(8,-2)[/tex]
substitute in the equation
[tex]y+2=-\frac{3}{4}(x-8)[/tex]
[tex]y=-\frac{3}{4}x+6-2[/tex]
[tex]y=-\frac{3}{4}x+4[/tex] or [tex]3x+4y=16[/tex]
therefore
the answer is
[tex]y=-\frac{3}{4}x+4[/tex]
or
[tex]3x+4y=16[/tex]
Answer:
3x+4y=16
Clarifying because other explanation was confusing
Just took review
Step-by-step explanation:
the product of three consecutive nonzero integers
Final answer:
To find the product of three consecutive nonzero integers, multiply the first number by the next two numbers in the sequence.
Explanation:
If the first integer is n, the next will be n+1 and the next to it will be n+2
The product of three consecutive nonzero integers can be calculated using the formula:
n * (n+1) * (n+2)= n(n^2 + 3n+ 2)=n^3 +3n^2 + 2n
where 'n' represents the first integer. For example, if we take 'n' as 2, the three consecutive nonzero integers would be 2, 3, and 4. So, the product would be 2 * 3 * 4 = 24= (2)^3+ 3*(2)^2+ 2*2
A sample is a sample that isn't representative of the entire population.
unbiased
systematic
biased
Answer: The answer is biased :)
Please help with 12!!!!!
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula
Which of the following is a possible long-term health effect of stress?
A. heart disease
B. rapid breathing
C. heartburn
D. tense muscles
choose all that apply
Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. write an expression in simplest form that represents the number of fireflies you and your friend caught together?
Find the product and simplify your answer. -4k^2(-3k^3+5k-5)
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?
Answer:
Atleast 53
Step-by-step explanation:
We are given that your basketball team has a goal to collect atleast 160 blanket for a shelter.
Team member bought blankets on Monday =42
Team member bought blankets on Wednesday=65
We have to write an inequality and find the number of blankets has to collect on Friday.
Let x be the number of blankets bought by team members on Friday
According to question
[tex]42+65+x \geq 160[/tex]
[tex]107+x \geq 160[/tex]
Subtract 107 on both sides
[tex]107-107+x\geq 160-107[/tex]
[tex]x\geq 53[/tex]
Hence, team members bought atleast 53 blankets on Friday .
In the equation y = 2x -3 if x = 3, what is the ordered pair of the solution?
How many different types of cross sections of a cone are possible? A.3
B.5
C.6
D.10