The probability of an archor hitting the target in a single shot
is p = 0,2. Determine the number of shots required for the archor
to hit the target with at least 80% probability.
Answers
Here we can use the concept of the binomial distribution. The probability of hitting the target in a single shot is given as p = 0.2. We need to find the minimum number of shots.
In this scenario, we can model the archer's attempts as a binomial distribution, where each shot is considered a Bernoulli trial with a success probability of p = 0.2 (hitting the target) and a failure probability of q = 1 - p = 0.8 (missing the target).
To determine the number of shots required for the archer to hit the target with at least 80% probability, we need to calculate the cumulative probability of hitting the target for different numbers of shots and find the minimum number that exceeds 80%.
We can start by calculating the cumulative probabilities using the binomial distribution formula or by using a binomial probability calculator. For each number of shots, we calculate the cumulative probability of hitting the target or fewer. We then find the minimum number of shots that results in a cumulative probability of hitting the target of at least 80%.
For example, we can calculate the cumulative probabilities for various numbers of shots, such as 1, 2, 3, and so on, until we find the minimum number that exceeds 80%. The specific number of shots required will depend on the cumulative probabilities and the chosen threshold of 80%.
By using these calculations, we can determine the number of shots required for the archer to hit the target with at least 80% probability.
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Related Questions
PLease helpppp PLEASEE HELLLLP i dont get it
Answers
Answer:
x = 100°
Step-by-step explanation:
x = 100° because the two angles are corresponding.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
Answers
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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Use the graph of the sine function y = 2 sin θ shown below.
a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.
Answers
a. There are 2 cycles in the graph.
b. The period of the graph is 360 degrees.
c. The amplitude of the graph is 2.
a. To determine the number of cycles in the graph, we need to count the number of complete repetitions of the pattern. In this case, there are 2 complete repetitions, so there are 2 cycles.
b. The period of a sine graph is the distance it takes to complete one full cycle. In this graph, one full cycle is completed in 360 degrees, so the period is 360 degrees.
c. The amplitude of a sine graph is the distance from the midline to the maximum or minimum point of the graph. In this case, the amplitude is 2 units. y = 2 sin θ.
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Which statements about the figure must be true? Select three options. A- Line segment A B is bisected by Line segment C D . B- Line segment C D is bisected by Line segment A B . C- AE = One-halfAB D- EF = One-halfED E- CE + EF = FD
Answers
Answer:
C and E
Step-by-step explanation:
Midpoint, as the word suggests, means the point which lies in the middle of something. The statements that are correct are 1, 3, and 5.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
The statements which are correct about the given figure are:
AB is bisected by CD. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.AE = 1/2 AB. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.CE + EF = FD. Since F is the midpoint of CD, the length of CF and FD will be equal but also CF is divided into two parts, therefore, AE and Eb.Hence, the statements that are correct are 1, 3, and 5.
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does anybody know the answer to this??
Answers
Answer:
A
Step-by-step explanation:
i counted all of the cubes and came up with 14 hence 14 is the answer
Answer:
a. 14 Cubic Units
Step-by-step explanation:
This is a complex shape made by a 2x3 and a 2x4 shape
The volume of each of them are 6 cubic units and 8 cubic units respectively.
Together they make a complex shape with the volume of 14 cubic units
HELLP!!!! Ms.Smith, the principal of a local middle school, wants to find out the favorite after-school activity of 7th grade students in her school. which population should she sample to answer her question?
A) 7th graders in the school
B) parents of 7th graders in the school
C) other 7th grade teachers in the school
D) all students in the school
Answers
The correct population should she answered is is A) 7th graders in the school
To find out the favorite after-school activity of 7th grade students, Ms. Smith should sample the population directly related to the question. In this case, the most appropriate population to sample would be:
A) 7th graders in the school
By sampling the 7th graders in the school, Ms. Smith can directly gather information about their favorite after-school activities. This population consists of the students themselves who engage in the activities, and they would have first-hand knowledge and experience of their preferences.
B) Parents of 7th graders in the school might provide some insights, but they may not accurately represent the activities chosen by the students themselves.
C) Other 7th-grade teachers in the school may have some observations, but it may not reflect the preferences of the entire 7th-grade student population.
D) Sampling all students in the school would be broader than necessary and may not specifically address the favorite after-school activities of 7th-grade students.
Therefore, option A) 7th graders in the school is the most suitable population for Ms. Smith to sample in order to answer her question about the favorite after-school activity of 7th-grade students.
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Heights of four-year-olds are Normally distributed, with a mean of 40 inches and a standard deviation of 3 inches. At
his four-year checkup, Marlon's height is measured as taller than 70% of boys his age. How tall is Marlon?
Find the z-table here.
O 38.4 inches
O 41.6 inches
0 42.5 inches
0 43.8 inches
Answers
Answer:
41.6 inches
Step-by-step explanation:
edge 2021
Will mark brainliest
Answers
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Shannon read that the latest model of a car made in Europe travels to speeds up to 120 kilometers per hour. Approximately how many per miles is 120 kilometers per hour? Show your work.
Answers
74.5645 miles is 120 kilometers per hour.
Both kilometers and miles represent units used to measure distance, and their magnitudes are comparable. The only distinction left is in the length units because both speed units have a time dimension that is measured in hours. A kilometer is a unit first from the metric system, whereas the mile is a part of something like the imperial unit system, which is used in many nations like the United States as well as the United Kingdom.Although it is a more recent measurement, the mile does have a lengthy history, going at least as far back as the Romans.The Roman mile was approximately 5,000 feet long, as well as additional miles with differing lengths in various locales and eras, such as the English, Irish, and Italian miles.Divide the speed of the vehicle by 1.609 to get an approximation.
Therefore, 120 kilometers per hour = 120/1.609
=74.5645 miles per hour
74.5645 miles is 120 kilometers per hour.
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what is forty five plus ninety
Answers
Answer:
=135
Step-by-step explanation:
45+90
=45+90
=135
531
x 47
Long multiplication :) please help
Answers
PLEASE CAN I HAVE HELP
Answers
Answer:
1.28
is the answer :) since the number after 7 is 5 you round up
Answer: 1.28
The 7 is in the hundredth's place, and since there is a 5 after it, we round up.
which expression is equivalent to 8x^2 square root 375x+2^3 square root 3x^7,if x =0?
Answers
The expression which is equivalent to 8x²√375x + 2³√3x^7 if x = 0 is; 0.
Which expression is equivalent to the expression given?According to the task content, the expression given is; 8x²√375x + 2³√3x^7.
On this note, it follows that when x=0 is substituted into the expression; the evaluation amounts to zero, 0.
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How many flowers, spaced every 3 in., are needed to surround a circular garden with a 125 -ft radius? Use 3.14 for (the pie symbol).
Answers
Answer:
785
Step-by-step explanation:
flowers needed to surround the garden = circumference of the garden / space
circumference of a circle = 2nr
n = 3.14
r = radius
The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability
1ft = 12 inches
125 x 3 = 375
2 x 3.14 x 375 = 2355
flowers needed = 2355 / 3 = 785
Hi! I need some help with this (:
Answers
Answer:
the answer is 5 lists
hope this helps
min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
Answers
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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Write the equation 12 − y = 2x − 5 in slope-intercept form. What are the slope and y-intercept? A. y=2x−17,m=2, y-intercept (0,−17) B. y−12=−2(x+52),m=−2, y-intercept (0,−12) C. y=−16x+512,m=−16, y-intercept (0,512) D. y=−2x+17,m=−2, y-intercept (0,17)
Answers
Answer:
D
Step-by-step explanation:
12-y=2x-5
+5 +5 ( add 5 to both sides)
17-y=2x
-17 -17 (Subtract 17 to get y by itself)
-y=2x-17
divide by -1 because y cant be negative
y=-2x+17
m=-2 and y-intercept= 17
I hope thats right :)
Determine whether the following series is convergent or divergent. If convergent find the sum, and if divergent enter DIV:
9 – 9/2+9/4+9/8+… =
Answers
The given series converges to a sum of 18. The given series is a geometric series with a common ratio of 1/2. To determine its convergence or divergence.
We can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
where "a" is the first term and "r" is the common ratio. In this case, a = 9 and r = 1/2.
Plugging in the values, we have:
S = 9 / (1 - 1/2)
= 9 / (1/2)
= 18
Therefore, the given series converges to a sum of 18.
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In investigating whether stress is a factor in aging, telomere length was measured in women with chronically ill children, and compared to the number of years since the child's diagnosis. Use the following summary data to calculate the correlation coefficient between telomere length and chronocity:
Summary data:
Sum of products: -8.822
Sum of squares for chronicity: 318.817
Sum of squares for telomere length: 2.868
Total sample size: 38
Answers
The calculated correlation coefficient (r) is approximately -0.291.
To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.
Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.
From the given data, we have the following values:
Σxy = -8.822
Σx² = 318.817
Σy² = 2.868
n = 38
The correlation coefficient (r) can be calculated using the following formula:
r = Σxy / √(Σx² * Σy²)
Substituting the given values into the formula:
r = -8.822 / √(318.817 * 2.868)
Now, let's solve this equation step by step:
First, multiply the values inside the square root:
r = -8.822 / √(913.350956)
Next, calculate the square root:
r = -8.822 / 30.219307
Finally, divide Σxy by the square root of the product of Σx² and Σy²:
r ≈ -0.291
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please please please help me
Answers
Answer:
12/5 make me verified
Step-by-step explanation:
when u x them u get 2.4 Now, to convert it into a fraction, we can multiply and divide the 2.4 by 10. 2.4/1 × 10/10 = 24/10 and it can be further reduced to 12/5.
PLEASE ANSWER IN HANDWRITING AND FORMULAS! SHOW WORK
COMPLETELY! I WILL GIVE THUMBE UP!
4. If you deposit money today in an account that pays 4.5 % annual interest, how long will it take to double your money?
Answers
I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.
To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (double the initial amount)
P = Principal (initial amount)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Time (in years)
In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:
2P = P(1 + 0.045/n)^(nt)
To solve for t, we can divide both sides of the equation by P and simplify:
2 = (1 + 0.045/n)^(nt)
Taking the natural logarithm (ln) of both sides of the equation:
ln(2) = nt ln(1 + 0.045/n)
Now, we can solve for t:
t = ln(2) / (n ln(1 + 0.045/n))
The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money. Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.
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heyy! i’ll give brainliest please help.
Answers
Answer:
I believe it's the Gulf Stream
Step-by-step explanation:
"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."
Answer:
im going to say the equator
Step-by-step explanation:
Paula has a rope that is 3/5 of a yard long and she removes 1/5 of the rope. How long is the remaining piece of rope?
Answers
The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual distance, x, represented by 20 centimeters on the map?
StartFraction 10 over 4 EndFraction = StartFraction x over 20 EndFraction
StartFraction 10 over 4 EndFraction = StartFraction 20 over x EndFraction
StartFraction 10 over 20 EndFraction = StartFraction 4 over x EndFraction
StartFraction 10 over 20 EndFraction = StartFraction x over 4 EndFraction
Answers
The proportion that can be used to find the actual distance is given as \(\frac{10}{4} = \frac{x}{20}\), and the correct option is A.
What is scaling?By scaling, we may create a drawing of an item that corresponds to the object's true size. In geometry, scaling refers to either growing or reducing figures in order to preserve their fundamental shape. Similar figures are those that have been scaled.
Given that the scale on a map shows that 10 kilometers is represented by 4 centimeters.
We are to find the proportion can be used to find the actual distance, x, represented by 20 centimeters on the map.
We have
4 centimeters on the map = 10 kilometers.
So, 1 centimeter on the map
\(1 cm = \frac{10}{4}\)
Also, 20 centimeters on the map = x kilometers.
So, 1 centimeter on the map
\(1cm = \frac{x}{20}\)
Equating the two expressions:
\(\frac{10}{4} = \frac{x}{20}\)
Therefore, the proportion that can be used to find the actual distance is given as \(\frac{10}{4} = \frac{x}{20}\), and the correct option is A.
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Choose the number that is not a factor of 300. Show your steps.
A. 5
B. 6
C. 8
D. 20
Answers
Answer: 8
Divided 300 by 8 and it equals to 37.5 (with a decimal it means it's not a factor)
the right triangle shown below with hypotenuse 13 inches long and vertical leg 5 inches long is rotated 360c around the vertical leg to form a right circular cone. what is the volume of this cone, in cubic inches?
Answers
The cone has a volume of (D) 288in3.
What do we mean by volume?A volume is a unit of measure of occupied three-dimensional space. It is frequently quantified numerically using SI-derived units (such as cubic meters and liters) or various imperial modules (such as the gallon, quart, and cubic inch). The definition of volume is related to the definition of length (cubed). The volume of a container is generally recognized to be its capacity; that is, the quantity of fluid (gas or liquid) that it can hold, rather than the amount of space that it occupies.To find the volume:
Given:
Radius = 6 inheight =?g = 10 inVolume =?Formula:
Volume of a cone = πr²h / 3The Pythagorean theorem is used to calculate height.
height² = 10² - 6² = 100 - 36 = 64 height = 8The volume of the cone:
Volume = π(6)²(8) Volume = π(36)(8) Volume = 288π in³Therefore, the volume of the cone is (D) 288in³.
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The complete question is given below:
Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 degrees around the vertical leg to form a right circular cone, what would be the volume of this cone, in cubic inches?
A. 32
B. 96
C. 128
D. 288
E. 384
please help me fast get it right and I’ll rate you heart you and brainlist you but get it right, if not right no points or nothing
Answers
Answer: F. :)
Step-by-step explanation:
Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
Answers
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
Consider the following system of two equations and two unknowns. [
x+y=2
3x+y=0
a) Solve the system using substitution. b) Solve the system using elimination (also called "linear combination.") c) Solve the system by graphing. (A sketch on regular paper is fine, but be sure to label any key points.) d) Check your work by confirming that your solutions for parts a, b, and c are the same!
Answers
x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)
a) Solving the system using substitution:
We know that: x+y=2 (i)3x+y=0 (ii)We will solve equation (i) for y:y=2-x
Now, substitute this value of y in equation (ii):3x + (2-x) = 03x+2-x=0 2x = -2 x = -1
Substitute the value of x in equation (i):x + y = 2-1 + y = 2y = 3b)
Solving the system using elimination (linear combination) :
We know that: x+y=2 (i)3x+y=0 (ii)
We will subtract equation (i) from equation (ii):3x + y - (x + y) = 0 2x = 0 x = 0
Substitute the value of x in equation (i):0 + y = 2y = 2c)
Solving the system by graphing:We know that: x+y=2 (i)3x+y=0 (ii)
Let us plot the graph for both the equations on the same plane:
graph{x+2=-y [-10, 10, -5, 5]}
graph{y=-3x [-10, 10, -5, 5]}
From the graph, we can see that the intersection point is (-1, 3)d)
We calculated the value of x and y in parts a, b, and c and the solutions are as follows:
Substitution: x = -1, y = 3
Elimination: x = 0, y = 2
Graphing: x = -1, y = 3
We can see that the value of x is different in parts a and b but the value of y is the same.
The value of x is the same in parts a and c but the value of y is different.
However, the value of x and y in part c is the same as in part a.
Therefore, we can say that the solutions of parts a, b, and c are not the same.
However, we can check if these solutions satisfy the original equations or not. We will substitute these values in the original equations and check:
Substituting x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)
Therefore, the values we obtained for x and y are the correct solutions.
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A triangle has two sides of length 12 and 17. What is the largest possible whole-number length for the third side?
Answers
Answer:
20
Step-by-step explanation:
I don't understand the question but hope it helps