How many ways can a jury of four men and three women be selected from twelve men and ten women
Final answer:
The number of ways to choose the jury is 59,400.
Explanation:
The question is concerned with a combinatorial problem of selecting a jury from a larger pool of people, which is a classic example of the use of combinations in probability and statistics.
To find out how many ways we can select a jury of four men from twelve men, and three women from ten women, we use the combination formula which is C(n, k) = n! / (k! * (n-k)!), where '!' represents factorial, 'n' is the total number of people, and 'k' is the number of people to choose.
To select the men, we calculate the combinations as follows:
C(12, 4) = 12! / (4! * (12-4)!) = 495 waysTo select the women, we calculate the combinations as follows:
C(10, 3) = 10! / (3! * (10-3)!) = 120 waysTo find the total number of ways to select the jury of four men and three women, we multiply the number of ways to choose the men by the number of ways to choose the women:
495 ways (to choose men) * 120 ways (to choose women) = 59,400 different ways to select the jury.
give your own example of irrational number explain why the number you chose is irrational
√38 is irrational.
38 is an integer that is not the square of an integer, so its square root is not a rational number.
Answer: 157.34123598...
Step-by-step explanation: To determine if the decimal 157.34123598... is rational or irrational, notice that the decimal is non-terminating. However, this decimal is also non-repeating because there is no digit of group of digits that repeat.
When we have a decimal that is both non-terminating and non-repeating, it must be an irrational number.
1440 tons of grain were brought to a silo over two days. On the second day, 80% of the amount of the grain delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?
Answer:
800
Step-by-step explanation:
Miguel wants to rent a boat and spend at most $52. The boat costs $7 per hour, and Miguel has a discount coupon for $4 off. What are the possible numbers of hours Miguel could rent the boat?
Use t for the number of hours- write your answer as an inequality solved for t. this is due today plz help thank you!
Arlene sells computers and tables. She earns 8% commission on every dollar of sales that she makes
Use a straightedge to divide the fraction bar into 6 equal parts then shade 4 parts
The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?
Simplify 5 − (−1)
6
-6
4
-4
Answer:
6
Step-by-step explanation:
Just easy lol have a good day
For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that for the same quarter, the rate of return on the investment was -0.02%. Given the information regarding the investment's current balance, does the reported rate of return seem reasonable? Use complete sentences
Rational and Irrational Numbers what is it explain
A rational number is part of a whole expressed as a fraction, decimal or a percentage. ... It is a numberthat cannot be written as a ratio of two integers (or cannot be expressed as a fraction). For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.
A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2
find the arithmetic mean an of an-1=3.9 and an+1=7.1
The arithmetic mean is 5.5
So therefor the answer is 5.5
Name the set(s) of numbers to which -2/5 belongs.
A. Whole numbers, integers, rational numbers
B. Rational numbers
C. Whole numbers, natural numbers, integers
D. Integers, rational numbers
A rectangle's length is 13meters more than 3 times its width. The area is 10 square meters. What is the width?
A.) 2/3m
B.) 3m
C.) 5m
D.) 10m
What number is 12% of 25?
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 3/4 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
Answer:
The answer is what the other person said, Mark them brainliest cause' the are correct! answer 27/64
Step-by-step explanation:
A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s^2. What is the cart's mass?
Answer:
The cat's mass would be 5 kg.
Find the slope of the line
Apple at on sale for $1.20 a pound. Logan bought 3/4 of a pound. How much money did Logan spend on apples
Which ones are correct? PLEASE ANSWER QUICK IF YOU KNOW
x=5x+16 what is the answer
Help me anyone please !!!!!
QUICK AND URGENT
Marvin can run 48km in 6 hours.
How many kilometers can he run in 6hours 30min
And how do you do it.
Divide. (18x^3+12x^2-3x)/6x^2
A)x^2+x-1/2x
B)3x+2
C)3x+2 -1/2x
D)3x -1/2x
Divide.(2x^3-x^2-24x+12)/(2x-1)
A)x^2-1
B)x^2-12
C)2x-1
D)x^2-1/2x-12
Can anybody help?
Answer:
1. The correct option is C.
2. The correct option is B.
Step-by-step explanation:
1.
The given expression is
[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]
Simplify the expression,
[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]
Cancel out the common factors.
[tex]3x+2-\frac{1}{2x}[/tex]
Therefore option C is correct.
2.
The given expression is
[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]
Use grouping method to simplify the numerator.
[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex]
[tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]
Cancel out the common factors.
[tex]x^2-12[/tex]
Therefore option B is correct.
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount? write a system of equation to model the problem and solve the system to find out.
José and Nancy would charge the same amount for taking care of 10 animals. This is found by solving the system of equations which represents their respective charges.
Explanation:The subject of this problem is determining for how many animals José and Nancy would charge the same amount. This is a classic algebra problem that can be solved by setting up a system of equations.
Let's designate 'x' as the number of animals. José's charges can be represented by the equation y = 15 + 2x, because he charges a flat fee of $15 and then an additional $2 per animal. Nancy's charges can be represented by the equation y = 5 + 3x, because her initial fee is $5, and she charges an additional $3 per animal.
To find out when they both charge the same amount, set these two equations equal to each other and solve for x:
15 + 2x = 5 + 3x
This simplifies to 10 = x, meaning they would both charge the same amount for 10 animals.
Learn more about system of equations here:https://brainly.com/question/21620502
#SPJ12
Find the area of this figure
Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamel pay?
A) 4.0%
B) 4.1%
C)4.2%
D) 4.3%
If Jamal borrowed $625 from his brother for 8 years and later paid $830 then he must have taken it at the simple rate of 4.1%.
What is simple rate of interest?The interest which is not calculated on the aggregate interest or which is calculated only on principal amount is known as simple interest.
How to determine rate of interest?The principal amount is $625 and the number of years is 8 and we have to find the rate of interest.
The amount which is ultimately paid is equal to principal and interest. So,
830=625+625*r/100*8
830-625=625*r/100*8
205=625*r/100*8
205*100/625*8=r
20500/5000=r
r=4.1%
Hence if the principal amount is $625 and the amount lastly paid is $830 then the rate of interest is 4.1% which is option B.
Learn more about interest at https://brainly.com/question/16134508
#SPJ2
Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?
The amount of money saved is $17.10 .
Percentage can be described as a fraction of a number that is usually expressed as a number out of hundred.
In order to determine the amount of money saved, multiply 19 percent by the amount of money earned.
Amount of money saved = 19% x $90
0.19 x $90 = $17.10
To learn more about percentages, please check: https://brainly.com/question/25764815
Graph the linear equation find three points that solve the equation then plot on the graph x-3y=-6 plz help
The linear equation x - 3y = -6 can be rearranged as y = (1/3)x + 2. By substituting x-values of 0, 3, and 6, we obtained three points (0,2), (3,3), and (6,4). Plotting these points to graph helps us to visualize the equation.
Explanation:The original linear equation is x - 3y = -6. We can rearrange this equation to y = (1/3)x + 2. From this, we can derive three points on the graph. For example, let's calculate the y-values for x = 0, 3, and 6, which are easy to use.
For x = 0, the equation becomes y = (1/3)(0) + 2 = 2. So, the point (0,2) lies on this line.
For x = 3, the equation becomes y = (1/3)(3) + 2 = 3. So, the point (3,3) is on the line. For x = 6, the y-value is y = (1/3)(6) + 2 = 4, giving us the point (6,4).
These three points can be plotted on a graph and a line can be drawn through them to graph the equation.
Learn more about Linear Equation here:https://brainly.com/question/32634451
#SPJ12
The heart rates for puppies are normally distributed, with a mean heart rate of 180 beats
per minute (60-160 beats per minute for most adult dogs) with a standard deviation of 6
bpm (beats per minute).
a. What percentage of puppies will have heart rates of less than 187 bpm?
b. What percentage of puppies will have heart rates between 170 bpm and 187 bpm?
c. If 500 puppies are examined, how many would you expect to have a heart rate of less
than 187 bpm?
d. 10% of all puppies will have a heart rate greater than what value?