In the united states, 40% of the population has brown eyes. if 14 people are randomly selected, find the probability that at most 11 of them have brown eyes.
The probability that at most 11 of them have brown eyes is 0.9994
What is Binomial Distribution Function?
If a random variable X denotes the number of successes in n trials each with probability of success p, then we say that X ∼ Bin (n, p) , and the probability of exactly x successes in n trials P [X = x] is given by the binomial distribution function, f(x) , where f(x) is
[tex]f(x) = P[X=x] = (\frac{n}{x} ) p^{x} (1-p)^{n-x}[/tex]
where x = successes , n = trials
Therefore , [tex]f(x) = \frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}[/tex]
Given data , we have
p = 40 % = 0.4
n = 14
Let X be the number out of a sample of 14 whose eyes are brown.
So the probability that at most 11 of them have brown eyes is calculated as P( X [tex]\leq[/tex] 11 ) and
P( X [tex]\leq[/tex] 11 ) = 1 - P( X > 11 )
where P( X > 11 ) = 0.0006
Therefore , P( X [tex]\leq[/tex] 11 ) = 1 - 0.0006
= 0.9994
Hence , the probability that at most 11 of them have brown eyes is 0.9994.
To learn more about Binomial Distribution Function click :
https://brainly.com/question/28108922
#SPJ5
Find the real or imaginary solutions of the equation by factoring. X^4-10x^2=-9
I'm not sure how to answer this question. Could someone please help explain it?
use the graph of the parent function, f(x)=sqrt x, to describe the transformation for the graph of g(x)=sqrt x-5
A. The graph of g(x) is the graph of f(x) shifted up 5 units
B. The graph of g(x) is the graph of f(x) shifted down 5 units
C. The graph of g(x) is the graph of f(x) shifted right 5 units
D. The graph of g(x) is the graph of f(x) shifted left 5 units.
I think the answer should either be down 5 or right 5 but I still don't quite understand.
thank you!
An online weather report says the temperature is between 40 degrees and 50 degrees, when it is really 54.4 degrees outside. Which of the following is true?
In the inequality 3x + 14 ≤ 44, x represents the cost of CDs Tim bought. Which phrase most accurately describes the cost of CDs?
Answer:
The cost of the cd is at most 10$
Step-by-step explanation:
What is the unit rate for $1 for 12lbs
Write 5 equations where the difference is equal to 3
Answer:
5-2
28 - 5²
17 - 7 × 2
[tex]\frac{28}{4}-4[/tex]
5 × 3 - 4 × 3
Step-by-step explanation:
Let x and y be any two numbers,
Such that,
y - x = 3,
⇒ y = 3 + x
Where, x is any positive real number.
Thus, we can find such equation by using this,
Such equations could be,
5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12
or
5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3
Five equations where the difference is equal to 3 are, respectively:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".
From Analytical Geometry, a Linear Equation is an expression of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - Intercept.Based on the question, we need to write 5 expressions so that:
[tex]y - m\cdot x = b[/tex]
If we know that [tex]b = 3[/tex], then we get the following expressions:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Please see this question related to Functions: https://brainly.com/question/22105858
Please Help! I don't want an exact answer, just a brief explanation of what the question actually means.
IF THE STUDENTS HIKE AT A SPEED OF 4 KM/H, WHAT IS THE TOTAL DISTANCE THE STUDENTS WILL HIKE?
Answer:
21km i beileve srry im late
Step-by-step explanation:
hamburger selling $1.25 a pound contains 30% fat. how much does the consumer pay for the meat without the fat?
-4.2+3.3=
Write answer in decimal form.
The value of the given expression is -0.9
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression -4.2+3.3 = ? we need to find the answer in the decimal form,
To find the same, we have to simply subtract 3.3 from 4.2 and since the greater number is in negative the result will also be in negative,
3.3-4.2 = -0.9
Hence, the value of the given expression is -0.9
Learn more about expression, click;
https://brainly.com/question/14083225
#SPJ2
Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x + 2y = 36.50 2x + 5y = 50.00 At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job? Percy earns a greater hourly wage of $7.00 at the library. Percy earns a greater hourly wage of $7.00 at the coffee cart. Percy earns a greater hourly wage of $7.50 at the library. Percy earns a greater hourly wage of $7.50 at the coffee cart.
Answer:
Percy earns a greater hourly wage of $7.50 at the library.
Step-by-step explanation:
For a quadrilateral to be a parallelogram, its opposite sides and _____ must be congruent.
For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral. The word "quadrilateral" is derived from the Latin "quadra" (four) and "latus" (sides).
For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.
To know more about congruency follow
https://brainly.com/question/20762297
#SPJ6
Test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.
The z-score corresponding to this value will be negative 0.6667.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Test scores are typically conveyed with a mean of 100 and a standard deviation of 15. A singular's level of intelligence score is viewed as 90.
The z-value is given as,
z = (90 - 100) / 15
z = - 10 / 15
z = - 0.6667
The z-score relating to this worth will be negative 0.6667.
More about the z-score link is given below.
https://brainly.com/question/15016913
#SPJ2
The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet. find the velocity of an object that has fallen 76 feet. round to the nearest hundredth.
Answer:
69.74 feet per second is the velocity of an object that has fallen 76 feet
Step-by-step explanation:
As per the statement:
The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet.
⇒[tex]v = \sqrt{64h}[/tex]
where, v is the velocity in feet per second and an object that has fallen h feet.
We have to find the velocity of an object that has fallen 76 feet.
⇒ h = 76 feet.
Substitute in the given formula we have;
[tex]v = \sqrt{64 \cdot 76} = \sqrt{4864} = 69.7423831[/tex] feet per second
Therefore, the velocity of an object that has fallen 76 feet to the nearest hundredth is, 69.74 feet per second
For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet. _ feet is the length of each side of the wrestling mat.
The length of each side of the wrestling mat is, 38 feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet.
Let the length of each side of the wrestling mat is, x
Hence, We get;
⇒ x² = 1444
⇒ x = √1444
⇒ x = 38 feet
Thus, The length of each side of the wrestling mat is, 38 feet.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
Which of the following is not greater than 7/16?
A.)1/2
B.)31/62
C.)15/17
D.)3/8
2c/11= c-3/4 what is the solution
Jonas bought 3 books. Each book was the same price. He also used a coupon that takes $20 off the total cost. What expression can be used to represent the total purchase?
Final answer:
The expression to represent Jonas's total purchase is 3x - $20, where x is the price of one book.
Explanation:
To create an expression that represents the total purchase of Jonas's books, let's denote the price of each book as x. Jonas bought 3 books at the same price, so the cost of the books is 3x. However, with the coupon, Jonas gets $20 off the total cost. Therefore, the expression that represents the total purchase is:
3x - $20
This expression first calculates the total cost of the books (3 times the price of one book) and then subtracts the $20 discount from the coupon.
What is the measure of an exterior angle of a regular 7-sided polygon? The answer must be a decimal.
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. if the river forms one side of the corrals and 330330 yd of fencing is available, find the largest total area that can be enclosed.
Every square is ____ a rectangle.
A. always
B. sometimes
C. never
20 pts. Involves Triangle Centroids
The corresponding angles postulate states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are
2 more than twice a number w
Suppose a college student pays $650 for tuition fees. However, she also has to pay $325 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer: Her books represent
percent (as a decimal) of her total costs.
Write your answer to the nearest tenth of a percent, but in decimal form. For example, if you saved 34.67%, you would round to 34.7% and enter .347 as your answer.
please help!
create an expression equal to 6/5
what you have to work with:
1/16, (7/10, -, 5/8), ÷
If $4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (round your answers to the nearest cent.)
Final answer:
The value of an investment of $4500 at a 7.25% annual interest rate, compounded continuously, is calculated using the compound interest formula [tex]P = P_0e^{rt}[/tex], where P0 is the initial amount, r is the rate as a decimal, and t is the time in years.
Explanation:
The subject of this question is Mathematics, and it falls under the High School grade level. To find the value of an investment compounded continuously, we use the formula:
[tex]P = P_0e^{rt}[/tex]
Where:
P0 is the initial amount investedr is the annual interest rate (in decimal form)t is the time in yearse is the base of the natural logarithm, approximately equal to 2.71828Given a $4500 investment at a 7.25% annual interest rate, compounded continuously, we can calculate the future value of the investment after t years. Convert the percentage to a decimal by dividing by 100:
r = 7.25 / 100 = 0.0725
So the formula becomes:
[tex]P = $4500e^{0.0725t}[/tex]
Plug in the number of years into 't' to calculate the future value for that specific duration.
After 2, 4, and 6 years of continuous compounding, the investment values are approximately $5198.85, $6014.70, and $6953.85 respectively.
To find the value of the investment after a certain number of years with continuous compounding, we use the formula:
[tex]\[ A = P e^{rt} \][/tex]
Given:
- P = $4500
- r = 7.25% = 0.0725 (as a decimal)
We need to calculate the value of the investment after 2, 4, and 6 years.
(a) For 2 years:
[tex]\( A = 4500 \times e^{0.0725 \times 2} \)\\\( A = 4500 \times e^{0.145} \)\\\( A \approx 4500 \times 1.1553 \)\\\( A \approx \$5198.85 \)[/tex]
(b) For 4 years:
[tex]\( A = 4500 \times e^{0.0725 \times 4} \)\\\( A = 4500 \times e^{0.29} \)\\\( A \approx 4500 \times 1.3366 \)\\\( A \approx \$6014.70 \)[/tex]
(c) For 6 years:
[tex]\( A = 4500 \times e^{0.0725 \times 6} \)\\\(A = 4500 \times e^{0.435} \)\\\(A \approx 4500 \times 1.5453 \)\\\( A \approx \$6953.85 \)[/tex]
So, the values of the investment after 2, 4, and 6 years respectively are approximately:
(a) $5198.85
(b) $6014.70
(c) $6953.85
Complete Question:
If $ 4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
(a) 2 years
(b) 4 years
(c) 6 years
1. You will use 25% of your budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not include commas for large numbers. Do not solve.
2. How much money will rent and utilities cost? Enter your answer as a number, without any commas or dollar signs.
Along the Oregon trail the trading post in fort Laramie, Wyoming, sold a 16 pound of beef je rky for 5.92 what was the cost per pound
You can buy an item for $20 at a store within walking distance. You can buy the same item online for $12 with $10 for shipping. Which is the better deal?