An oil drilling company ventures into various locations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is 0.25. (a) (5 pts) What is the probability that the driller drills at 10 locations and has 1 success? (b) (10 pts) The driller will go bankrupt if it drills 10 times before the first success occurs. What are the driller's prospects for bankruptcy?
Answers
a) The probability that the driller drills at 10 locations and has 1 success is approximately 0.264.
b) The driller's prospects for bankruptcy are quite high, as there is only a 10.7% chance that it will not go bankrupt after
drilling 10 times.
(a) The probability of having exactly one success in 10 attempts can be calculated using the binomial distribution
formula:
\(P(X=1) = (10 choose 1) × 0.25^1 × 0.75^9\)
where X is the number of successes in 10 attempts.
Using a calculator, we get:
P(X=1) = 0.264
(b) The driller will go bankrupt if it drills 10 times before the first success occurs. This means that it must have at least
one success within the first 10 attempts, otherwise it will go bankrupt.
The probability of having at least one success in 10 attempts can be calculated using the binomial distribution formula:
\(P(X>=1) = 1 - P(X=0) = 1 - (10 choose 0) × 0.25^0 × 0.75^10\)
Using a calculator, we get:
P(X>=1) = 0.893
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Related Questions
Find the distance between the two numbers.
1. -2 and 9
2. 3 and -6
3. -2 and -4
4. -8 and 4
5. 9 and -5
6. -3 and 5
What pattern do you see?
Answers
Step-by-step explanation:
1. =9-(-2)
=9-(-2)=11
2. =-6-3
. =-6-3=-9
3. =-4-(-2)
. =-4-(-2)= -2
5. =4-(-8)
. =4-(-8)=12
5. =-5-9
. =-5-9=-14
6. =5-(-3)
. =5-(-3)=8
if specifically they do not want the directions don't include the signs of the outputs because distance cannot be negative!!!!
What is the value of x?
Answers
The value of x for the given angles will be x = 20. The correct option is A.
What are lines and angles?The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.
Given that the two opposite angles when two lines intersect each other are,
(x + 40)°
(3x)°
The value of x will be calculated as:-
x + 40 = 3x
3x - x = 40
2x = 40
x = 20
Therefore, the value of x for the given angles will be x = 20. The correct option is A.
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Which of the following functions is graphed below?
Answers
Answer:b I’m pretty sure
Step-by-step explanation:
Someone please help me
Answers
Answer:
A is 12 B is 14 fir number 1 number two is ÷ × + and the answer is 12
What are the three types of horizontal asymptotes?
Answers
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
What are the domain and range of the function on the
graph?
The domain includes all integers, and the range is y 2
0.
The domain includes all integers, and the range is y >
0.
The domain includes all real numbers, and the range
is y ≥ 0.
The domain includes all real numbers, and the range
is y > 0.
Answers
The domain includes all real numbers, and the range is y > 0
What are domain and range?
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range. In general, a function's domain and range are denoted as follows: Range(f) = f(x): x domain(f) and domain(f) = f(x): x R
Domain: The domain is the set of all possible x-values.
Range: The range of a function is the complete set of all possible resulting values of the dependent variable y.
We can see from the graph, x values include all real numbers and range ( y values greater than 0 because the graph line does not intersect at 0.
we know that
The domain of the function of the graph is the interval (-∞,∞)
That means the domain is all real numbers.
The range of the function of the graph is the interval is (0,∞)
That means the domain is all real numbers greater than zero.
So, Option d is correct.
Therefore,
The domain includes all real numbers, and the range is y > 0.
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he quadrilateral is a rectangle. Find
Answers
Answer:
You have to set them equal to each other and then solve for x
Step-by-step explanation:
Answer:
∠GJK = 22°
Step-by-step explanation:
5x+8 = 7x-16
2x = 24
x = 12
∠GJK = 90-(7x12-16) = 22°
If A = 5 and B = 3, what will be displayed when code corresponding to the following pseudocode is run? (In the answer options, new lines are separated by commas.)
Do
Write A^2
Set A = A - 1
While A >= B
Answers
The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".
The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.
Step 1: Initialization
A is set to 5 and B is set to 3.
Step 2: Iteration 1
Since A (5) is greater than or equal to B (3), the loop executes.
The square of A (5²) is displayed, resulting in the output "25".
A is decremented by 1, so A becomes 4.
Step 3: Iteration 2
A (4) is still greater than or equal to B (3).
The square of A (4²) is displayed, resulting in the output "16".
A is decremented by 1, so A becomes 3.
Step 4: Iteration 3
A (3) is still greater than or equal to B (3).
The square of A (3²) is displayed, resulting in the output "9".
A is decremented by 1, so A becomes 2.
Step 5: Iteration 4
A (2) is still greater than or equal to B (3).
The square of A (2²) is displayed, resulting in the output "4".
A is decremented by 1, so A becomes 1.
Step 6: Iteration 5
A (1) is still greater than or equal to B (3).
The square of A (1²) is displayed, resulting in the output "1".
A is decremented by 1, so A becomes 0.
Step 7: Loop termination
Since A (0) is no longer greater than or equal to B (3), the loop terminates.
Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.
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What fraction is equivalent to 1/3?
Answers
Write the next 3 terms in the sequence.
108, -432, 1728, -6912, ...
Answers
Answer:
27,648
-110,592
442,368
Step-by-step explanation:
each term is multiplied by -4
Factory workers can make 18 items in 15 hours. How many hours will it take
to make 12 items at this rate?
Answers
Answer:
10 hours
Step-by-step explanation:
Unit rate 18 items / 15 hrs = 1.2 items pe hour
12 items / 1.2 items / hour = 10 hours
Carl deposited P dollars into a savings account that earned 8 percent annual interest, compounded semiannually. Carl made no additional deposits to or withdrawals from the account. After one year, the account had a total value of $10,816. What was the value of P?
Answers
Carl deposited 10,000 into the savings account.
We can use the formula for compound interest to solve this problem:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A = the final amount
P = the initial principal (what Carl deposited)
r = the annual interest rate (8%)
n = the number of times interest is compounded per year (2 for semiannual compounding)
t = the number of years (1)
Plugging in the given values and solving for P:
\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)
\(10,816 = P(1.04)^2\)
10,816 = 1.0816P
P = 10,000
Therefore, Carl deposited 10,000 into the savings account.
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Look at the picture. Need some help
Answers
Answer:
y=-5
Step-by-step explanation:
When the x-value on the graph is equal to -4, the y-value is equal to -5
suppose we have a continuous random variable over -2 < x < 5. what is p(x = 1)?
Answers
We have a continuous random variable over -2 < x < 5 so p(x = 1) = 0 because the probability at any given point for any continuous random variable is always 0.
Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to happen.
Probability at any given position is always zero for any continuous random variable. This is because the probability of a single value occurring for a continuous random variable is always 0 because the range of values for the random variable is infinite and therefore the probability of a single value occurring is 0.
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Which terms could have a greatest common factor of 5m2n2? Select two options.
Answers
10m3n2 and 15mn4 could have a greatest common factor of 5m2n2.
Two terms that could have a greatest common factor of 5m2n2 are 10m3n2 and 15mn4.
To see why, we can factor each term into its prime factors and then identify the factors that are common to both terms.
First, let's factor 10m3n2:
10m3n2 = 2 × 5 × m × m × m × n × n
Next, let's factor 15mn4:
15mn4 = 3 × 5 × m × n × n × n × n
Now, we can identify the factors that are common to both terms:
- 5
- m
- n
- n
These common factors can be combined to give the greatest common factor of the two terms:
5m2n2
Therefore, 10m3n2 and 15mn4 could have a greatest common factor of 5m2n2.
It's worth noting that there could be other pairs of terms that also have a greatest common factor of 5m2n2, but this is just one example. To find other pairs, we would need to factor the terms and look for common factors.
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За
(A)
2a 11
==+a (5 marks to solve; 2 marks to verify)
3 6
4
Answers
Answer:
jonwjwjejejeken 20 ow91
In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
Answers
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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There are 28 more butterflies than snails. There are 9 snails. How many butterflies are there?
Answers
Answer:
Step-by-step explanation:
Step 1:
Butterflies is greater than Snails
More=addition
GP: 28+9=B
Step 2:
28+2=30
30+7=37
Answer: 37 Butterflies
Hope this helps!
Given that,
Total butterflies = 28
Total snails = 9
More butterflies than snails are = butterflies + snails
\(\implies28+9\)
\(\implies 37\)
Therefore, there are 37 butterflies.
If you flip a coin two times, what are the different outcomes that will occur? * Heads, Tails Heads, Heads; Heads, Tails Tails, Tails, Tails, Heads Heads, Heads; Heads, Tails; Tails, Heads; Tails, Tails
Answers
Answer:
Heads, Tails
Step-by-step explanation:
When we toss a coin, there are two possibly outcomes. It can be a head or a tail, which are both equally likely
Answer:
Nice pfp
Step-by-step explanation:
Jerry pays $1.40 per gallon for premium gasoline. He spends $16.80 and wants
to know how many gallons he bought. Which equation models this situation?
Answers
$16.80/$1.40
Please help this is due in a few Brainliest will be rewarded!!!!!
Answers
Step-by-step explanation:
the middle one has to be the same for both part ratios.
the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there
for that (as a ratio is a fraction) we also have to adapt the A element in the same way.
so, we get
4×2 : 5×2 : 9 =
= 8 : 10 : 9
and that is also shown in the graphic.
Answer:
X:Y:Z= 8:10:9
Step-by-step explanation:
Let x be the number of students in class A
Let y be the number of students in class B
Let z be the number of students in class C
x:y = 4:5
y:z= 10: 9
x:y:z = ?
Find the LCM of the y terms (5 and 10 ) which is 10
Divide 10 by the first y term (5) = 2
Divide 10 by the second y term(10) = 1
X: y = (4 x 2) :(5 x 2)= 8:10
y:z =(10 x 1) : (9:1)= 10:9
x:y:z= 8:10:9
1/8 to decimal number
Answers
Answer: 0.125
Step-by-step explanation:
Each cup serving of cereal has 3 grams of protein. How can you use the graph to determine whether the quantities are proportional, and to find how many grams of protein are in 1 cup of the cereal?
Answers
Answer:
1 cup has 12 grams
Step-by-step explanation:
I might be wrong cause I'm not sure wich problem it is but if I am wrong pls don't come for me at the comments
When Jamel went to the store, he spent $7 on 2.5 pounds of hamburger meat.
Instructions
Answers
The price per pound of hamburger meat that Jamel spent is given as follows:
$2.8.
How to obtain the price per pound?The price per pound is obtained applying the proportions in the context of this problem.
A proportion is used because the price per pound is obtained with the division of the total price by the number of pounds.
The parameters for this problem are given as follows:
Total spending of $7.Total weight of 2.5 pounds.Hence the price per pound is obtained as follows:
7/2.5 = $2.8.
Missing InformationThe problem asks for the price per pound of hamburger meat spent by Jamel.
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cual es la respuesta de (-12) + 7=
Answers
Answer:
-5
Step-by-step explanation:
-12 + 7 = -5Answer:
(-12) + 7 = -5
La respuesta de (-12) + 7 es -5
Espero eso ayude.
geometry, proving vertical angels are congruent
Answers
the path of an object after it has been thrown off of a building can be represented by the quadratic equation y equals short dash x squared plus 16 x plus 80 where y is the object's vertical distance from the ground in feet and x is the horizontal distance in feet from where it was thrown. how far will the object travel in the horizontal direction before it hits the ground?
Answers
The motion of the object which is described by the quadratic equation is a projectile motion, and the horizontal distance the object travels is 20 feet .
What is a projectile motion?Projectile motion is the motion of an object which is thrust into the air and moves under the effect of gravitational force alone.
The equation in the question is; y = -x² + 16·x + 80
Where;
y = The vertical distance above the ground
x = The horizontal distance of the object
y = -x² + 16·x + 80
From which we get;
When the object hits the ground, y = 0, which indicates;
y = 0 = -x² + 16·x + 80
The value of x that is a solution to the above equation represents the distance the object travels before it reaches the ground.
-x² + 16·x + 80 = 0
x² - 16·x - 80 = 0
(x - 20)·(x + 4) = 0
x = 20 or x = -4
The distances at which the object reaches the ground are x = -4 feet or x = 20 feet
The possible distance the object will travel in the horizontal direction is 20 feet.
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Evaluate the expression if g=2, r=3, and t=11.
r2+(g3−8)5
Answers
The value of the expression is 9.
In this question given, we have been given the equation and the values of the letters in the equation that is given. Since we are given the expression, g=2, r=3, and t=11, then we have to slot in the values into the equation and this will be:
r² + (g³ - 8) × 5
= 3² + (2³ - 8) × 5
= 9 + [(8 - 8) × 5]
= 9 + (0 × 5)
= 9 + 0
= 9
Therefore, based on the calculations above, the answer is 9.
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If two quantities x and y are in inverse proportion, then
Answers
Answer: Two quantities x and y are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant. That is, if xy = k, then x and y are said to vary inversely.
Step-by-step explanation:
Answer:
you just do y/x
Step-by-step explanation:
y/x is k and that should give you the right answer
A right triangle is dilated with a scale factor of 1/4. After the dilation, how
could the triangle be described. *
Answers
Answer:
1212121212121212121222