The values of all sub-parts have been obtained.
What is binomial distribution?
The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure. It is used in probability theory and statistics.
As given,
Sample size, n = 9
P (doing a one-time fling), p = 0.05
q = 1 - p
q = 1- 0.05
q = 0.95
Binomial distribution:
P(X) = nCx*px*q^(n-x)
A) Evaluate the probability when no one has done a one-time fling.
P (no one has done a one-time fling) = P(0)
= 0.959
= 0.6302.
B) Evaluate the probability when at least one person has done a one-time fling.
P (at least one person has done a one-time fling) = 1 - P(no one has done a one time fling)
= 1 - 0.6302
= 0.3698.
C) Evaluate the probability when no more than two people have done a one-time fling.
P(no more than two people have done a one-time fling) = P(0) + P(1) + P(2)
= 0.6302 + 9x0.05x0.958 + 9C2 x 0.052x0.957
= 0.6302 + 0.2985 + 0.0629
= 0.9916.
Hence, the values of all sub-parts have been obtained.
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convert 36,400sec in day
Step-by-step explanation:
36400 sec = 0.421 day
I think this should be the answer
answer this correctly for brainlist
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
Answer:
45.5
Step-by-step explanation:
i passed
Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation:
Consider these three numbers written in scientific notation.
1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67
Answer:
D
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
prove that cos(sin^-1x)=sqrt(1-x^2)
Let's consider a right triangle with an angle θ such that sin θ = x. By definition, To prove the identity cos(sin^⁻¹x) = √(1 - x^2), we can use the properties of trigonometric functions and inverse trigonometric functions.
Let's consider a right triangle with an angle θ such that sin θ = x. By definition, sin^⁻¹x represents the angle whose sine is x. In the triangle, the side opposite to θ has length x, and the hypotenuse has length 1.
Using the Pythagorean theorem, we can find the length of the adjacent side, which is √(1 - x^2). This represents the cosine of the angle θ.
Therefore, we have cos(sin^⁻¹x) = √(1 - x^2), which proves the given identity.
To elaborate further, we can use the definition of sine and cosine in terms of the sides of a right triangle. The sine of an angle θ is defined as the ratio of the length of the side opposite to θ to the length of the hypotenuse. In this case, sin θ = x.
Using the Pythagorean theorem, we find that the length of the adjacent side is √(1 - x^2). This length represents the cosine of the angle θ.
Thus, we have cos(sin^⁻¹x) = √(1 - x^2), demonstrating the validity of the given identity.
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orthogonal complement is orthogonality, and find the direct sum s ⊕ s orthogonality.
Therefore, to determine the direct sum S ⊕ S' with orthogonality, you need to ensure that every vector in S is orthogonal to every vector in S', and vice versa. If this condition holds true, you can conclude that S ⊕ S' is an orthogonal direct sum.
The orthogonal complement of a subspace is a concept in linear algebra that represents the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in the given subspace. To find the direct sum S ⊕ S' of two subspaces S and S', the subspaces S and S' must be orthogonal to each other. In other words, every vector in S must be orthogonal to every vector in S', and vice versa.
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i need help
I'm doin
Answer:
graph A
Hope that helps!
Answer: Graph a
Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).
2. Which of the following is the correct value of ? Show your reasoning.
Answer:
b
Step-by-step explanation:
0.22x4
= 0.22+0.22+0.22+0.22
=0.88
Or
0.22*100=22
22*4=88
88:100=0.88
8. Present age of Rahul and kiran are in the ratio
5:4. The ratio of their ages will be 6:5 after
5 years.Find kiran's present age.
20 years
25 years
30 years
15 years
Answer:
20 years
Step-by-step explanation:
Given the ratio of their ages = 5 : 4 = 5x : 4x ( x is a multiplier )
Then in 5 years
5x + 5 : 4x + 5 = 6 : 5 , that is
\(\frac{5x+5}{4x+5}\) = \(\frac{6}{5}\) ( cross- multiply )
5(5x + 5) = 6(4x + 5) ← distribute parenthesis on both sides
25x + 25 = 24x + 30 ( subtract 24x from both sides )
x + 25 = 30 ( subtract 25 from both sides )
x = 5
Thus
Kiran's age is 4x = 4 × 5 = 20
how many minutes are required for 175 gpm to pass the entire 1500-foot length of a 12-inch diameter pipeline
To calculate the time required for 175 gallons per minute (gpm) to pass through a 1500-foot length of a pipeline with a 12-inch diameter, we can follow these steps:
Convert the diameter from inches to feet:
12 inches = 12/12 = 1 foot
Calculate the cross-sectional area of the pipeline using the formula for the area of a circle:
Area = π *\((radius)^2\)
Radius = diameter/2 = 1/2 = 0.5 feet
Area = π *\((0.5)^2\) = 0.785 square feet
Convert the flow rate from gallons per minute (gpm) to gallons per second (gps):
175 gpm = 175/60 gps
Calculate the velocity of the flow using the formula:
Velocity = Flow rate / Cross-sectional area
Velocity = (175/60) / 0.785 = 3.56 feet per second (rounded to two decimal places)
Calculate the time required to pass the entire 1500-foot length of the pipeline using the formula:
Time = Distance / Velocity
Time = 1500 / 3.56 = 421.35 seconds (rounded to two decimal places)
Convert the time from seconds to minutes:
421.35 seconds = 421.35/60 minutes = 7.02 minutes (rounded to two decimal places)
So, it would take approximately 7.02 minutes for a flow rate of 175 gpm to pass through the entire 1500-foot length of a 12-inch diameter pipeline.
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Find the measure of each
angle in the isosceles
trapezoid.
D
A
136⁰
B
с
Answer:
b=136, c=44, d=44
Step-by-step explanation:
B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44
how to find a random sample of 150 students has a test score average of 70 with a standard deviation of 10.8. find the margin of error if the confidence level is 0.99 using statcrunch A. 2.30 B. 0.19 C. 0.87 D. 0.88
Therefore, the margin of error, rounded to two decimal places, is approximately 2.27.
To find the margin of error for a random sample, we can use the formula:
Margin of Error = Critical Value * (Standard Deviation / sqrt(Sample Size))
Given:
Sample Size (n) = 150
Test Score Average (Sample Mean) = 70
Standard Deviation (σ) = 10.8
Confidence Level = 0.99
First, we need to find the critical value associated with the confidence level. For a 99% confidence level, the critical value can be found using a standard normal distribution table or a calculator. The critical value corresponds to the z-score that leaves a tail probability of (1 - confidence level) / 2 on each side.
Using a standard normal distribution table or a calculator, the critical value for a 99% confidence level is approximately 2.576.
Now, we can calculate the margin of error:
Margin of Error = 2.576 * (10.8 / sqrt(150))
Calculating the square root of the sample size:
sqrt(150) ≈ 12.247
Margin of Error ≈ 2.576 * (10.8 / 12.247)
Margin of Error ≈ 2.27
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evaluate the expression: 4c + 3d + f if c=5 d= -3 f=-2
Answer:
-67
Step-by-step explanation:
hope it helps you can do it
Help pleaseeeee. I can’t figure this out
Answer:
Step-by-step explanation:
That's what i'm doing to K 12
what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?
Answer:
Step-by-step explanation:
Given Line equation is 4x+3y=12 and point (3,4)
Given condition two line are parallel
Parallel means two straight lines having same slope.
From the above condition we can use "point-slope" equation.
\(y-y_{1} =m(x-x_{1} )\)
From the given line equation we can find slope easily.
We can rewrite the line equation as \(y=-\frac{4}{3} x+4\)
We can compare the above equation as y=mx+b
slope \(m=-\frac{4}{3}\) and point \((x_{1} ,y_{1} )\)=(3,4) submit in slope-point equation.
Becareful while submit point in the slope point equation.
Note:(Many students do mistakes while submitting point.
\(y-4=-\frac{4}{3}(x-3)\)
solve and get the answer
Equation of line is 4x+3y=24
Mr. Angelou moved closer to his family. He used to live 89 miles away and now purchased a home 51 miles away from his family. What is the percent decrease in distance from his home to his family now? Be sure to round to the nearest hundredth.
Answer:
43.70%
Step-by-step explanation:
You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jeans, 39.99; Discount, negative 10.00; Subtotal, 29.99; Sales Tax, 1.95; Total, 31.94. The line at the bottom reads, Thank You. a. What is the percent of discount to the nearest percent? The percent of discount is %. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is %. c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is %.
Answer:
25%
6.5%
35%
Step-by-step explanation:
Given the invoice :
Bill for a pair of Jean
Jeans ______39.99
Discount ___ - 10.00
Subtotal ____ 29.99
Sales tax ____ 1.95
Total _______ 31.94
A) % of discount to the nearest %
Discount amount = % discount * price
10 = x% * 39.99
10/39.99 = x%
0.2500625 = x%
x = 0.2500625 * 100%
% discount = 25%
% of sales tax:
Sales tax amount = % tax * Subtotal
1.95 = x% * 29.99
1.95/29.99 = x%
0.06502 = x%
x = 0.06502 * 100%
x = 6.5%
Markup before discount = 60%
Markup after discount = (60 - 25)% = 35%
Given
mZAOC is a straight angle.
MZAOB = 8x + 51°
mZBOC = 6x - 25°
Find mZAOB=
Answer:
∠ AOB = 139°
Step-by-step explanation:
Since AOC is a straight line then
∠ AOB + ∠BOC = 180° , that is
8x + 51 + 6x - 25 = 180
14x + 26 = 180 ( subtract 26 from both sides )
14x = 154 ( divide both sides by 14 )
x = 11
Then
∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°
Select the reason that best
supports Statement 5 in the
given proof.
Answer:
B) Subtraction Property of Equality
Step-by-step explanation:
To get m∠B=77º, the problem subtracted 103º from both sides of 103º+m∠B=180º.
The Subtraction Property of Equality states that if x=y, then x-a=y-a.
In this case x=103º+m∠B, y=180º, and a=103º.
jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is: $10000 + $1500 = $11500
a) the derive equation is 50000 + 10000 + x
jack has maximum amount of wealth = $50,000
When he participated in a jujitsu competition then the prize amount = 10,000
Then we will take a variable x for derive the equation which will depend on that he will win and loose :
Here,
the equation is = 50000 + 10000 + x
b) His consumption after not purchasing medical insurance is $15000.
if, he does not purchase medical insurance then he has no coverage of insurance and
He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000
So, his consumption after not purchasing medical insurance is:
$10000 + $5000 = $15000
c) when he will purchase medical insurance then his total consumption is $3500
his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,
When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:
0.3 * 5000 = $1500
Now, subtracting the amount of medical insurance which he’ll have to pay:
$5000 - $1500 = $3500
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:
$10000 + $1500 = $11500
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can you help stuck on this question for a while
Answer:
Option B
Step-by-step explanation:
Length of the rectangular sand box is given by the function,
F(x) = 3x³ + 6x - 2
Width of the sand box is represented by the function,
W(x) = 2x² - 4
Area function for the sand box will be,
Area of a rectangle = Length × Width
F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)
= 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)
= 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8
= 6x⁵- 4x²- 24x + 8
Therefore, Area function will be represented by a polynomial degree of 5.
Option B will be the answer.
What is a solution to the system of linear equations?
(-3,0)
(-3,3)
(0,2)
(3,1)
Step-by-step explanation:
try adding . all the x vlues and the y values
Answer:
C) (0,2)
Step-by-step explanation:
just took the test on edg2021
the cost of 12 pencils is rupees 37 4 by 5 find the cost of one pencil
Answer:
Cost of 12 pencils = 37 4/5 = 189/5
Cost of 1 pencil = 189/5 ÷ 12
= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20
So required answer is 3 3/20
Hope This Helps You!
For questions 3 – 4, use the table to answer the questions.
This table shows the high schools in a metro district and whether they offer hockey and golf.
High school Hockey Golf
East Valley ✔
Central
Lincoln ✔ ✔
Davis
West Pine ✔ ✔
Adams ✔
North River ✔ ✔
A high school is chosen at random from this list.
Let event A = The high school has a hockey team.
Let event B = The high school has a golf team.
3. Which high schools offer both hockey and golf?
What is P(A ∩ B)?
4. Which high schools offer hockey or golf or both?
What is P(A ∪ B)?
We have P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
Lincoln and West Pine high schools offer both hockey and golf.
P(A ∩ B) is the probability that a randomly chosen high school has both a hockey team and a golf team. The probability that a school picked at random offers both hockey and golf is 2/5 (Lincoln and West Pine are the only schools that offer both out of 5 total schools.)
East Valley, Lincoln, West Pine, Adams and North River high schools offer hockey or golf or both.
P(A ∪ B) is the probability that a randomly chosen high school has either a hockey team or a golf team or both. The probability that a school picked at random offers either hockey or golf or both is 5/5 (All 5 high schools in the district offer at least one of the sports.)
Therefore, the correct answers of the problem statement are P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
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A restaurant catered an event for 25 people. A child’s dinner cost $5 and an adult’s dinner cost $22. The party cost $431. How many children were in attendance? How many adults were in attendance?
Answer:
7 Children and 18 Adults.
Step-by-step explanation:
Sorry im late but thats the answer ^
There was 7 children attendee and 17 adult attendee.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A restaurant catered an event for 25 people.
A child’s dinner cost $5 and an adult’s dinner cost $22.
The party cost $431.
let the number of children attendee be x and adult attendee be y.
So, x+ y = 25..............(1)
and, 5x + 22y = 431.......(2)
Solving the Equation (1) and (2) we get
5(25 - y) + 22y= 431
125 - 5y + 22y= 431
17y = 431-125
17y = 306
y = 18
and, x= 25-18 = 7
Hence, there was 7 children attendee and 17 adult attendee.
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what is the coefficient in the expression? 7x+56
Answer:
7
Step-by-step explanation:
Coefficient is the number that comes before x
That's why 7 is the answer
what is the first step when solving this equation for t?
31-12t = 211
A. combine 31-12
B. add 12 to both sides
C. add 31 to both sides sides
D. subtract 31 from both sides
Answer:
D. subtract 31 from both sides
you cant combine cuz theyre not like terms and you have to undo the constant number before you undo the second term in the equation so you will end up needing to do letter choice D first.
Step-by-step explanation:
hope this helped a little bit :)
======================================================
Explanation:
The expression 31-12t is the same as 31+(-12t). Adding a negative is the same as subtracting a positive.
Then we can flip the two terms getting -12t+31. This is because we can add two numbers in any order.
So we're effectively solving -12t+31 = 211
The first step is to subtract 31 from both sides to undo the +31. We follow PEMDAS in reverse to isolate the variable.
Please help I will give 20 points also no links, please
Answer:
Slope of a line perpendicular is -5/2
Step-by-step explanation:
Find the slope of the line. Use the "/" to make a fraction if needed.
(not apart of the question)
Im adding more because I known none of these questions
Answer:
The answer is 0 or No Slope
Step-by-step explanation:
This type of line in the graph is called no slope its means it doesn't rise over time
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The Jackson family borrowed $240,000 to purchase a house and, over thirty years they had to repay 250% of what they borrowed. What is the total amount of money the Jackson family paid for their loan? Brainly
Answer:
Step-by-step explanation:
Given
\(Loan = \$240,000\)
\(Amount = 250\%\)
Required
Determine the total amount
This is calculated by multiplying the loan amount by the percentage:
i.e.
\(Payment = Amount\% * Amount\)
\(Payment = 250\% * \$200000\)
\(Payment = \$500000\)
Hence, the total payment is $500000