The mean number of days with 0. 01 inch or more precipitation per month for Lewiston, Idaho, is about 8. 7. Find the probability that in a given month
(a) There are exactly 9 days with 0. 01 inch or more precipitation.
(b) There are at most 9 days with 0. 01 inch or more of precipitation.
(c) There are more than 9 days with 0. 01 inch or more of precipitation
Answers
We will use the Poisson distribution, which is a probability distribution that models the number of events occurring in a fixed interval of time or space, given the average rate of occurrence and assuming that the events are independent and randomly distributed.
For this problem, we will assume that the number of days with 0.01 inch or more precipitation in Lewiston, Idaho, follows a Poisson distribution with parameter λ = 8.7.
(a) To find the probability that there are exactly 9 days with 0.01 inch or more precipitation, we can use the Poisson probability mass function:
P(X = k) = e^(-λ) * λ^k / k!
where X is the random variable representing the number of days with 0.01 inch or more precipitation, λ is the parameter of the Poisson distribution, and k is the number of events we are interested in.
Plugging in the values, we get:
P(X = 9) = e^(-8.7) * 8.7^9 / 9! ≈ 0.151
Therefore, the probability that there are exactly 9 days with 0.01 inch or more precipitation is approximately 0.151.
(b) To find the probability that there are at most 9 days with 0.01 inch or more precipitation, we can use the cumulative distribution function of the Poisson distribution:
P(X ≤ k) = ∑i=0^k e^(-λ) * λ^i / i!
Plugging in the values, we get:
P(X ≤ 9) = ∑i=0^9 e^(-8.7) * 8.7^i / i! ≈ 0.503
Therefore, the probability that there are at most 9 days with 0.01 inch or more precipitation is approximately 0.503.
(c) To find the probability that there are more than 9 days with 0.01 inch or more precipitation, we can subtract the probability of having 9 or fewer days from 1:
P(X > 9) = 1 - P(X ≤ 9) ≈ 0.497
Therefore, the probability that there are more than 9 days with 0.01 inch or more precipitation is approximately 0.497.
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Related Questions
How many triangles can be created with angle measures of 135 degree, 45 degrees, and 10 degrees? a one unique triangle. b no triangles. c more than one unique triangle. d cannot be determined.
Answers
The triangles can be created with angle measures of 135 degree, 45 degrees, and 10 degrees is b. no triangles.
About triangleTo create a triangle, the sum of the angle measures must equal 180 degrees. However, the given angle measures of 135 degrees, 45 degrees, and 10 degrees add up to 190 degrees, which is greater than 180 degrees.
Therefore, it is not possible to create a triangle with these angle measures.
Triangle: A geometric figure with three sides and three angles.
Angle: The amount of rotation between two lines that intersect at a common point.
Degrees: A unit of measurement for angles. There are 360 degrees in a circle.
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I neeedddd helpppppppp
Answers
-|7-x|+2>-8
Solve with work. ;)
Answers
The inequality expression given as -|7 - x| + 2 > -8 has a solution of 17 > x > -3
How to solve the inequality?From the question, the inequality is given as
-|7-x|+2>-8
This gives
-|7 - x| + 2 > -8
Subtract 2 from both sides of the equation
So, we have
-|7 - x| > -10
Divide both sides by -1
|7 - x| < 10
Remove the absolute bracket
So, we have the following representation
-10 < 7 - x < 10
Add -7 to all sides of the inequality
So, we have
- 7 -10 <7 - 7 - x < 10 - 7
Evaluate the like terms
So, we have
-17 < - x < 3
Divide through by -1
17 > x > -3
Hence, the solution to the expression is 17 > x > -3
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No Spam!!!! I will mark brainliest whoever properly answers the question. Identify the binomial that is a factor of the polynomial P(x) = 3x3 − 11x2 − 2x + 24.
Answers
Answer:
4.78x
Step-by-step explanation:
how've 7,.8*x 3n by 6y is =4.78x
P(x)=(x-2)(3x² − 5x-12) is the the binomial that is a factor of the polynomial P(x) = 3x³ − 11x² − 2x + 24
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is P(x) = 3x³ − 11x² − 2x + 24.
Now we need to find the binomial that is a factor of the polynomial
Now let us use the rational theorem
P(x) = 3x³ − 11x² − 2x + 24
P(x)=(x-2)(3x³ − 11x² − 2x + 24)/x-2
P(x)=(x-2)(3x³ − 11x² − 2x + 24)/x-2
P(x)=(x-2)(3x² − 5x-12)
P(x)=(x-2)(3x² −4x+3x-12)
P(x)=(x-2)(3x(x-4)+3(x-4))
P(x)=(x-2)(3x+3)(x-4)
Hence, P(x)=(x-2)(3x² − 5x-12) is the the binomial that is a factor of the polynomial P(x) = 3x³ − 11x² − 2x + 24
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Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
Answers
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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solve the equation -4+4a=12 for a.
Answers
Answer:
4
Step-by-step explanation:
4 x 4 is 16 and then because of the negative you take away 4 so its 12.
Answer:
a=4
Step-by-step explanation:
-4+4a=12
add four to 12
4a=16
divide
Please help Ill give brainy pleas help please
Answers
Answer: The answer is D
Step-by-step explanation:
Is this all correct? Only answer If you know!
Answers
Answer:
Incorrect answers that were corrected:
Line CA is the same as line FD
angle B = angle E
angle C = angle F
Step-by-step explanation:
please help me solve
Answers
Answer:
20
Step-by-step explanation:
She will be 10 in 5 years witch means she is 5
Double five you get 10
10 + 10 = 20
Answer:
the answer is B.) 20 years old
Step-by-step explanation:
if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old
Tl;Dr:
10-5=5
5x2=10
10+10=20
Please answer fast! (10 points)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Line m has no y-intercept, and its x-intercept Is (3, 0). Line n has no x-intercept, and its y-intercept Is (0, -4).
The equation of line m is ____
and the equation of line n is ____
Answers
Answer:
can u show me a picture of this problem.
Step-by-step explanation:
need the answer to it!!!
Answers
Answer:
803.84
Step-by-step explanation:
The Surface Area of a sphere can be solved by using the following equation:
A (Area of a sphere) = 4πr²
We know that r = 8 yards (Given), and that π ≈ 3.14 (Given). Plug in the corresponding numbers to the corresponding variables (& terms):
A (Area of a sphere) ≈ 4 * 3.14 * (8²)
Remember to follow PEMDAS. First, solve for the parenthesis:
(8²) = (8 * 8) = 64
Next, multiply across:
A (Area of a sphere) ≈ 4 * 3.14 * 64
A (Area of a sphere) ≈ (4 * 3.14) * 64
A (Area of a sphere) ≈ (12.56) * 64
A (Area of a sphere) ≈ 803.84
803.84 is your answer.*
*Note: The Surface Area of the sphere would be a little more if using a calculator, as it accounts for more decimals in the π. The difference can be ~0.41.
What is the range of the function y=e4+1 graphed below?
Answers
what is the median of this set of data values? 13,14,17,18,21,23,26,28
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
Median = 19.5
▹ Step-by-Step Explanation
13, 14, 17, 18, 21, 23, 26, 28
Middle 2 =
18 + 21 = 39
39 ÷ 2 = 19.5
Median = 19.5
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
How many paths are there from A to B if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through B as long as you end up at the point B).
Answers
The number of paths passing from A to B if we pass through the edge at most once is 3.
How to find the number of paths from A to B?Since we have that paths from A to B in the shape of triangles, we desire to find the number of paths from a to B if we travel along the edges at most once.
Now,
The first path is passing through the top triangular edges from point A to BThe second path is passing through the middle edge from A to B.The third path is pasing through the bottom edges from A to B.So, we see that there are 3 paths passing from A to B if we pass through the edge at most once.
Thus, there are 3 paths passing from A to B if we pass through the edge at most once.
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Isabel put $4,000 into a saving account that pays interest monthly at a simple-interest rate of 2.5% per year. If she takes the interest interest out of the account each month, how much money should she expect to earn after 6 months?
Answers
9514 1404 393
Answer:
$49.98
Step-by-step explanation:
The interest credited to Isabel's account each month is ...
I = Prt
I = $4000·(0.025)(1/12) = $8.33
If she withdraws that amount each month, the original balance is restored, and she will earn the same amount the next month.
Isabel's total earnings in 6 months will be ...
$8.33 · 6 = $49.98
You plan to invest in securities that pay 8.0%, compounded annually. If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20
Answers
it will take approximately 4 years for your investment to grow to $9,140.20 when compounded annually at a rate of 8%.
To determine the number of years it will take for your investment to grow to $9,140.20, you can use the formula for compound interest and solve for the time period.
The formula for compound interest is given by:
A = \(P(1 + r/n)^(nt)\)
Where:
A = the future value of the investment ($9,140.20 in this case)
P = the principal amount ($5,000)
r = the annual interest rate (8% or 0.08)
n = the number of times the interest is compounded per year (assuming annually in this case)
t = the number of years
Now we can plug in the given values and solve for t:
9,140.20 = \(5,000(1 + 0.08/1)^(1t)\)
Dividing both sides by 5,000:
1.82804 = \((1.08)^t\)
Taking the logarithm of both sides:
log(1.82804) = t × log(1.08)
Solving for t:
t = log(1.82804) / log(1.08)
Using a calculator, we find that t is approximately 4.
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Solve the system of linear equations using elimination.
-5x + 3y = -19
-x – 3y = -11
Answers
What the first person said
The result of a vertical shift followed by a reflection in the x-axis would most naturally be denoted by__. The result of a reflection in the x-axis followed by a vertial shift would most naturally be denoted by__. Therefore, reversing the order__ change the final result
Answers
The terms that complete the three blanks are:
-f(x) + k-f(x) + kdoes notWhat is transformation?Transformation involves changing the position and the size of a shape, line or point
When a shape is shifted vertically, and then reflected across the x-axis;
The rule of transformation is: -f(x) + k
When a shape is reflected across the x-axis, and then shifted vertically;
The rule of transformation is: -f(x) + k
Notice that the rule of both transformations are the same.
Hence, reversing the order does not change the final result
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Pls help me
-18x + 30 = -150
Answers
Answer:
x=10
Step-by-step explanation:
-18x + 30 = -150
subtract 30 from both sides = -18x=-180
divide both sides by -18 = x=10
x=10
if ax = b always has at least one solution, show that the only solution to a t y = 0 is y = 0
Answers
The only solution to the equation a*t*y = 0 is y = 0.
To show that the only solution to the equation a*t*y = 0 is y = 0, we can use the fact that if ax = b always has at least one solution, it means that a is non-zero. In the equation a*t*y = 0, we have a*t as the coefficient. Since a is non-zero, we know that a*t cannot be zero.
To satisfy the equation a*t*y = 0, the only possibility is for y to be zero. If y is non-zero, then a*t*y would also be non-zero, contradicting the equation. Therefore, the only solution that satisfies the equation is y = 0.
In summary, because the equation a*t*y = 0 has a non-zero coefficient (a*t), the only solution that makes the equation true is y = 0.
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a factory makes rods by cutting plastic pipes that are 4 feet long into 7 equal sized rodshow long is each rod?what is the total length of 15 rods?
Answers
As a fraction, length of the 15 rods = 8 4/7 feet
As decimal, length = 8.57 feet
Explanation:initial length pipes = 4 feet
Dividing the length of the pipe into 7:
\(\begin{gathered} length\text{ }of\text{ each rod = }\frac{initial\text{ length}}{7\text{ parts}} \\ length\text{ }of\text{ each rod }=\frac{4}{7}\text{feet} \end{gathered}\)length of 15 of those rods:
\(\begin{gathered} \text{length = 15 }\times\text{ length of each rod} \\ \text{length = 15 }\times\text{ }\frac{4}{7} \end{gathered}\)\(\begin{gathered} length\text{ of 15 rods = }\frac{60}{7} \\ Total\text{ length of 15 rods = 8}\frac{4}{7}\text{ or 8.57 f}eet \end{gathered}\)I NEED HELP PLS I WILL MARK BRAINLIEST
Answers
Answer:
\(\approx 11.2\:\mathrm{in}\)
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by \(2r\pi\cdot \frac{\theta}{360}\), where \(r\) is the radius of the circle and \(\theta\) is the angle of the arc.
In this problem, we're given:
\(\theta = 40^{\circ},\\r=16\)
Substituting given values, we get:
\(2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}\)
1) Joel went scuba diving 35 feet below sea level in the ocean last weekend. Represent the
depth at which he was scuba diving as an integer
Answers
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
Help is needed please!!!!
Answers
Answer:
31/20
Step-by-step explanation:
You need to plug in x as y-3.
so instead of 10x+10y=1 it is 10(y-3)+10y=1
Then just simplify the equation to find the value of y
the perimeter of a isosceles triangle is 47 cm. what is the length of each of its legs? a. 15 cm b. 17.5 cm c. 19.5 cm d. 35 cm
Answers
The length of the third side of an isosceles triangle is 9 cm.
Define isosceles triangle.
A triangle with two sides that are congruent or that are the same length is known as an isosceles triangle.
Define perimeter.
The sum of the lengths of the three sides of an isosceles triangle can be used to determine its perimeter. Two of the sides of an isosceles triangle are equal in length. Therefore, if we know the base length and the other two equal side lengths, we can determine the perimeter.
Given data -
Perimeter of an isosceles triangle = 47cm
The sum of the equal sides = 38 cm
Let a be the length of equal sides.
Therefore 2a = 38
Perimeter of an isosceles triangle = 2a + b
47 = 38 + b
b = 47 - 38
b = 9 cm
The length of the third side of an isosceles triangle is 9 cm.
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The complete question is
"If the perimeter of an isosceles triangle is 47 cm and the sum of the equal sides is 38 cm. Find the length of the third side."
Which of the following would NOT cast doubt of the usefulness of sample? data? Choose the correct answer below.
a. Order of questions in a survey
b. Missing data
c. Nonresponse
d. An effective sampling method
Answers
An effective sampling method is not cast doubt on the usefulness of the sample
The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.
Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.
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solve for X please explain
Answers
Answer:
Step-by-step explanation:
add the 2 equations:
3x+18+4x+15
simplify:
7x+33
we know that all angles on a straight line is 180 degrees.
7x+33=180
solve that equation:
7x=147
x=21
from here substitute x=21 into both equations.
3x+18
3x=63
63+18=81
left angle is 81 degrees
4x+15
4x=84
84+15=99
right angle is 99 degrees
we can check this by adding them both: 99+81=180
its right as all angles on a straight line add to 180, which these do.
hope this helped
For all numbers x, if 3(x + 2) = 72 – 3, then x = ?
Answers
Answer:
A.
Step-by-step explanation:
Any answers for this?
Answers
Answer:
D(t) = 2,280 - 60t
for D(15) compare the eqns and substitute the value of t.
D(15) = 2,280 - 60(15)
D(15) = 1,380 miles.
In the context of the qn, the Chang family travels 1,380 miles in 15 hours.
Jim is going to order rose bushes from a local nursery. The delivery charge is $15.00. Each rose bush costs $18.75. What is the greatest number of rose bushes lim can he buy with 80.
Answers
Answer: 3 rose bushes
Step-by-step explanation:
1. First we must identify the unknown. We do not know how many rose bushes he can get, we will use "x" to represent this number.
2. We must set up an equation with the given information. We know the delivery fee will remain constant.
3. 15+18.75(x)=80
4. Subtract 15 from both sides and it leaves you with 18.75x=65
5. Then you must divide both sides by 18.75, which leaves you with x=3.46
6. We cannot buy .46 of a plant so we must round down to 3
7. Jim can buy 3 rose bushes