Final answer:
The probability that none of the balls have been previously used is 20.96%.
Explanation:
To find the probability that none of the three balls selected have ever been used, we first calculate the probability of selecting a ball that has not been used each time.
Initially, there are 15 balls in total, out of which 9 have not been used. So, the probability of selecting a ball that has not been used on the first draw is 9/15.
After the first draw, the number of balls in the box remains the same, but the number of unused balls decreases to 8. So, the probability of selecting a ball that has not been used on the second draw is 8/15.
Similarly, for the third draw, the probability of selecting a ball that has not been used is 7/15.
Since the balls are chosen randomly and returned to the box after each draw, the probabilities are independent. Therefore, to find the probability that none of the balls have ever been used, we multiply the probabilities of each draw:
(9/15) x (8/15) x (7/15) = 0.2096, or approximately 20.96%.
HELP PLEASE!!! 15pts!!
Dominic is a landscape architect and is designing a garden with an area of up to 500 square feet. He will use two types of plants: zinnias and petunias. Each zinnia plant requires 1.6 square feet of ground and each petunia plant requires 1.8 square feet of ground. Each zinnia plant costs $4 and each petunia plant costs $3, and the architect must spend no more than $600.
Let z represent the number of zinnia plants and p represent the number of petunia plants.
Three of the constraints for this situation are z≥0 , p≥0 , and 1.6z+1.8p≤500 .
What is the other constraint for this situation?
Enter your answer in the boxes.
__ z + __ p ≤ __
The third constraint was based on the total area that the garden can only take. Now the last constraint must be based on the total cost that should be spend in order to make a 500 square feet of garden, that is:
4 z + 3 p ≤ 600
You make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over
Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds of trail mix did he eat during both breaks? Explain.
Help me please don’t know how to do this and I have psat in a week.
PLEASE HELP!
Solve for t: A=P (1+rt)
A quadrilateral whose opposite sides are parallel and congruent and whose opposite angles are congruent is a ____. a. trapezoid c. kite b. heptagon d. parallelogram.
PLZ ANSWER ASAP!!
I've forgotten how to work out these kind of problems...could someone explain please? Will give brainiest. (Picture attached)
Which type of triangle has one angle with a measurement greater than 90°? A. Obtuse B. Acute C. Isosceles D. Right
Find the area and perimeter of each composite figure use 3.14 for pi round your answer to the nearest 10th
Find the surface area and volume of each figure use 3.14 for pi round your answer to nearest 10th
I have examples if needed
1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches
4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards
Volume = π*6^2*20 = 2261.9 cubic yards
5.surface area = 2*(9*7+2*2+2*9) = 190 cm
Volume = 2*7*9 = 126 cubic cm
6. surface area = 2*(11*11+11*11+11*11) = 726 mm
Volume = 11 *11*11 = 1331 cubic cm
1. Area = 15 square feet
2. Area = 5.5 square meters
3. Area = 52.26 square inches
4. Surface area = 312π square yards, Volume = 720π cubic yards
5. Surface area = 127 square cm, Volume = 126 cubic cm
6. Surface area = 726 square mm, Volume = 1331 cubic mm
let's go through each problem step by step with proper calculations:
**Problem 1:**
Given:
Perimeter = 3 + 3 + 3 + 4 + 5 = 18 feet
Area calculations:
- For the triangle: Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 square feet
- For the rectangle: Area = length × width = 3 × 3 = 9 square feet
Total Area = 6 + 9 = 15 square feet
**Problem 2:**
Given:
Perimeter = 2.5 + 2.5 + 2.5 + 2.5 + 0.5 + 0.5 = 11 meters
Area calculations:
- For the triangle: Area = 1/2 × base × height = 1/2 × 0.5 × 2 = 0.5 square meters
- For the rectangle: Area = length × width = 2.5 × 2 = 5 square meters
Total Area = 0.5 + 5 = 5.5 square meters
**Problem 3:**
Given:
Perimeter = 3.14 × 2 × 3 + 8 = 18.84 + 8 = 26.84 inches
Area calculations:
- For the rectangle: Area = length × width = 6 × 4 = 24 square inches
- For the circle: Area = π × radius² = 3.14 × 3² = 28.26 square inches
Total Area = 24 + 28.26 = 52.26 square inches
**Problem 4:**
Given:
Surface area calculations:
- For the cylinder:
- Lateral Surface Area = 2 × π × radius × height = 2 × π × 6 × 20 = 240π square yards
- Top and bottom circles: Area = 2 × π × 6² = 72π square yards
Total Surface Area = 240π + 72π = 312π square yards
Volume calculations:
- Volume = π × radius² × height = π × 6² × 20 = 720π cubic yards
**Problem 5:**
Given:
Surface area calculations:
- For the rectangular box:
- Front and back: 9 × 7 = 63 square cm
- Sides: 2 × (2 × 9) = 36 square cm
- Top and bottom: 2 × (2 × 7) = 28 square cm
Total Surface Area = 63 + 36 + 28 = 127 square cm
Volume calculations:
- Volume = length × width × height = 9 × 7 × 2 = 126 cubic cm
**Problem 6:**
Given:
Surface area calculations:
- For the cube:
- All faces are identical: 6 × (11 × 11) = 726 square mm
Volume calculations:
- Volume = side³ = 11³ = 1331 cubic mm
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
Multiplication property: if angle j equals 30 then 2m angle j equals
Help me with the first one please
If you randomly choose a letter in the word "mathematics", find the probability that you choose an "a".
Which transformations will produce similar, but not congruent, figures?
Triangle PQR is reflected across the x-axis and then rotated 90° clockwise to form triangle P"Q"R" .
Triangle PQR is reflected across the y-axis and then dilated by a scale factor of 6 to form triangle P"Q"R" .
Triangle PQR is rotated 180° counterclockwise and then translated 11 units left to form triangle P"Q"R" .
Triangle PQR is rotated 90° clockwise and then reflected across the y-axis to form triangle P"Q"R" .
ABCD is a rectangle. The length of BD is 8 units and m
What is the length of AC and m
Which shows the correct word and expanded forms for the decimal? 3.28
a. three and twenty-eight thousandths 3 + 0.2 + 0.08
b. three and twenty-eight thousandths 3 + 0.02 + 0.008
c. three and twenty-eight hundredths 3 + 0.2 + 0.8
d. three and twenty-eight hundredths 3 + 0.2 + 0.08?
The new shanghai restaurant offers a choice of five appetizers, two choices of soups, and eleven choices of entrees for its lunch special. how many different complete lunches can be ordered from the restaurant's lunch special menu?
Final answer:
Using the Multiplication Principle, a customer can choose from 110 different complete lunch combinations by selecting one of each option (appetizer, soup, and entrée) from the menu at the New Shanghai restaurant.
Explanation:
To determine the total number of different complete lunches that can be ordered from the restaurant's lunch special menu, we apply The Multiplication Principle of counting. The principle states that if one event can occur in m ways and another independent event can occur in n ways, then the total number of ways both events can occur together is the product of m and n. In the context of ordering a lunch, each choice (appetizer, soup, and entrée) represents an independent event.
For appetizers, there are 5 choices.
For soups, there are 2 choices.
For entrées, there are 11 choices.
Following the Multiplication Principle, the total number of different complete lunches is calculated as follows:
5 appetizers × 2 soups × 11 entrées = 110 different complete lunches.
Therefore, customers have the opportunity to choose from 110 unique complete lunch combinations at the New Shanghai restaurant.
Find the parabola whose minimum is at (−12,−2)(−12,−2) rather than the point given in the book. the parabola's equation is y=x2+ax+by=x2+ax+b, where
Set up a proportion and use cross multiplication to solve. 100 is 250% of?
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let
x-------> the number
[tex]\frac{x}{100\%}=\frac{100}{250\%}[/tex]
[tex]x*250\%=100*100\%\\ \\x=10,000/250\\ \\x= 40[/tex]
Round $0.6848 to the nearest cent.
what type of triangle has two angles at 70 degrees and one at 40 degrees
a cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm . what is its density?
A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height
How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?
Answer:
The length of minute hand is 9.5 cm
Step-by-step explanation:
We are given the minute hand move from 1:15 to 1:30
Time for 1:30 to 1:30 = 15 minutes
Tip of minute hand move 15 cm in 15 minutes.
In 60 minutes = 360°
In 1 minute = 6°
In 15 minutes = 90°
Formula: [tex]\theta=\dfrac{L}{r}[/tex]
[tex]\theta=90^\circ[/tex]
Now we change [tex]\theta=90^\circ[/tex] into radian
[tex]Radian=\dfrac{\pi}{180^\circ}\times 90^\circ=\dfrac{\pi}{2}[/tex]
L=15 cm
R = Length of minute hand.
[tex]\dfrac{\pi}{2}=\dfrac{15}{R}[/tex]
[tex]R=\dfrac{30}{\pi}\approx 9.5[/tex]
Hence, The length of minute hand is 9.5 cm
Mitch refuses to dine at a certain restaurant because he recalls reading two or three negative reviews of its service on a popular website. Mitch is falling prey to:
In this situation, we can actually see that Mitch was simply basing her taste on the information that is readily available to her. She does not even consider whether those reviews are legit or reliable. Mitch is falling into what we call as:
“the availability heuristic”
Mitch is falling prey to the bandwagon effect, where he avoids dining at a restaurant based on a few negative reviews he read online. The bandwagon effect is a cognitive bias that leads us to adopt beliefs or behaviors because we think everyone else is doing the same.
Explanation:Mitch is falling prey to the bandwagon effect. The bandwagon effect is when someone adopts a certain belief or behavior because they believe that everyone else is doing it too. In this case, Mitch refuses to dine at a certain restaurant because of negative reviews he read on a popular website, assuming that those reviews reflect the majority opinion.
The bandwagon effect is a cognitive bias that can influence our decision-making process. It is important to be aware of this bias and make decisions based on objective information rather than simply following the crowd.
Learn more about Bandwagon Effect here:https://brainly.com/question/34612602
#SPJ3
JIMMMM! :)
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points)
Part B: Make tables to find the solution to 2^x = 4^x−2. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 2^x = 4^x−2 graphically? (2 points)
Please help me! And can you explain how you got that answer please?
Nick’s house is 4.28 miles from school. if nick’s average stride length is 3.1 feet, how many strides will it take him to walk to school?
If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 3, what is the equation of the new function?
A. g(x) = |x – 3|
B. g(x) = |3x|
C. g(x) = 1/3 |x|
D. g(x) = 3|x|
That is correct. On APEX its C. g(x)= 1/3 |x|
For items 14 and 15 use the following functions
f(x)=5x+1
g(x)=3x-4
14. Evaluate f(2), g(2), (f o g) (2), and (g o f)(2).
15. Write the composite functions h(x)=g(f (x)) and k(x)=f(g(x)).