There are 2730 different ways for a club with 15 members to choose a president, vice president, and treasurer, with each office being held by a different person.
Explanation:To determine the number of ways the club can choose a president, vice president, and treasurer, we can use the concept of permutations since the order of selection matters here, and no person can hold more than one office.
The first office to be filled is the president's.
There are 15 potential members to fill this role.
Once the president has been chosen, there are 14 remaining members who could be the vice president.
Finally, for the treasurer, there are 13 members left to choose from.
To find the total number of ways to choose these officers, we multiply the number of choices for each office together.
Number of ways = 15 (for president) × 14 (for vice president) × 13 (for treasurer) = 2730 ways.
So, there are 2730 different ways in which the club can select a president, vice president, and treasurer.
How do I do this? Show all work please! THANKS
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The local weather report states that the probability that it will snow today is 20% and the probability that it will snow tomorrow is 40%. Which of the following is a true statement?
A.
It is not very likely that it will snow both today and tomorrow.
B.
It is very likely that it will snow both today and tomorrow.
C.
It is impossible that it will snow both today and tomorrow.
D.
It is certain that it will snow both today and tomorrow.
The probability of it snowing both today and tomorrow is 8%, based on the given probabilities for individual days. Therefore, the most accurate statement is that it's not very likely for it to snow on both days.
Explanation:The question revolves around understanding the concept of probability. In the context of probability, you multiply the probabilities of two independent events (like it snowing on two different days) to get the probability of both occurring.
To find out if it will snow both today and tomorrow, we multiply the probability it will snow today (20% or 0.2) by the probability it will snow tomorrow (40% or 0.4). This gives us a probability of 0.08 or 8%, which means that it's not very likely that it will snow both today and tomorrow.
So, the correct answer would be Option A: It is not very likely that it will snow both today and tomorrow.
Learn more about Probability here:https://brainly.com/question/32117953
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Convert. If necessary, round to the nearest tenth. (Recall: 1 mi ≈ 1.61 km) km/h ~ 10 mi/h
Answer:
10 mile per hour = 16.1 kilometers per h our
Step-by-step explanation:
We know that
1 mile = 1.61 kilometers
We are supposed to convert speed given in miles per hour (mph) to kilometers per hours (kmph)
In order to do so ,
1 mile = 1.61 kilometers
1 mile per hour = 1.61 kilometers per hour
Multiplying both sides by 10 we get
10 miles per hour = 1.61 *10 kilometers per hour
10 miles per hour = 16.1 kilometers per hour
Hence our speed in kilometers per hour is 16.10 kmph
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = -16t^2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
A: 0.5 < t < 1
B: 0.5 < t < 2
C: 1 < t < 2
D: 1 < t < 1.5
Answer:
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
B is correct!
:)
A certain number of bacteria are in a petri dish. If the growth rate is 2.7 percent per hour, how many hours will it take the bacteria to double in number?
Using the rule of 70, which states that the doubling time in hours is equal to 70 divided by the growth rate percentage, it will take approximately 25.93 hours for the bacteria to double in number at a growth rate of 2.7 percent per hour.
Explanation:To calculate the time it will take for the bacteria to double in number with a growth rate of 2.7 percent per hour, we can use the rule of 70. The rule of 70 states that we can find the doubling time by dividing 70 by the percentage growth rate.
Doubling time = 70 ÷ growth rate percentage = 70 ÷ 2.7 ≈ 25.93
Therefore, it will take approximately 25.93 hours for the bacteria to double in number.
The table shows the height, in feet, of the tide over time, in hours.
I know the answer is that it should be cosine instead of sine, but I don't how to determine that. I'd like to know so I could solve questions like these in the future.
ASAP
A central angle θ in a circle with a radius of 3.5 centimeters intercepts an arc with a length of 6.3 centimeters.
What is the radian measure of θ ? Enter your answer, as a decimal, in the box.
The frequency of the musical not B3 is about 246.94 Hz. What is the frequency of the note a perfect fifth below B3
370.42 Hz
246.94 Hz
241.94 Hz
164.63 Hz
Kill bought items costing $3.45,$1.99,$6.59 ,and $12.98. She used a coupon worth $2.50 .if Jill had $50.00 when she went into the store,how much did she have when she left?
Which expression is equivalent to 60x^20 y^24/30x^10 y^12
The answer is B on edg :)
Is the following relation a function ? Yes or no
David, Mike, and Anne are friends. As a hobby, the friends collect baseball cards. Mike owns 9 less than 9 times the number of cards that Anne owns. David owns 27 more than 3 times the number of cards that Anne owns. If David and Mike own the same number of baseball cards, how many baseball cards does Anne own?
You have 23 coins, including nickels, dimes, and quarters. if you have two more dimes than quarters, and the total value of the coins is $2.50. how many of each kind of coin do you have?
Hi there i hope this will help
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
answer is 11Harry was given an assignment. He had 42 days to get 336 tasks done at work.Which operation would he use to figure out how many tasks he needs to complete each day
Write 8 square root of z to the 3 in exponential form
What is the value of y?
Please enter your answer, as an exact value
Find the volume of the figure the diameter of the base is 4 cm
The figure is a cylinder that has d= 4 cm and h= 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm)
Please help! Thanks!
Answer Choices:
A. 22π cm^3
B. 152/3 π cm^3
C. 62/3 π cm^3
D. 46/3 π cm^2
D
Total volume = volume of cylinder + volume of hemisphere
Total volume = pi * r^2 * h + 2/3 * pi * r^3, where r = 2 and h = 2.5
total volume = 46/3 pi cm^2
Choose the scientific notation that best represents the standard notation given. 0.000000000143 g
Answer:
B. 1.43 × 10‐¹⁰ g
hope this helps
What are the cordinates
What is the volume of a sphere if the radius is 9?
Answer: [tex]Volume = 972\pi units^{3}[/tex]
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.
[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]
Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.
[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]
Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]
[tex]Volume = (4) (243units^{3}) (\pi)[/tex]
[tex]Volume = 972\pi units^{3}[/tex]
The sum of two numbers is 66. the larger number is 2 more than 3 times the smaller. what are the two numbers?
How do u find the median of 4 numbers?
Identify the parameters in y = a*bkx.
HELP PLEASE!!!
Base your answer to the question on the diagram shown below.
Fernando is going to draw a marble from the bag, replace it, and then draw another marble. What is the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
1.) 4/5
2.) 4/25
3.) 3/100
The answer is actually the second choice 4/25 hope this helps...
Answer: The correct option is (2) [tex]\dfrac{4}{25}.[/tex]
Step-by-step explanation: Given that there are 3 green, 4 yellow, 5 blue and 8 pink marbles in a bag. Fernando is going to draw a marble from the bag, replace it, and then draw another marble.
We are to find the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw.
Let, S be the sample space for the experiment of drawing a marble from the bag.
Then, n(S) = 3 + 4 + 5 + 8 = 20.
Let E denotes the event of drawing a green or blue marble and F denote the event of drawing a pink marble.
Then, we have
n(E) = 3 + 5 = 8 and n(F) = 8.
Since the second marble is drawn after replacing the first marble,
so the required probability of Drawing a green or blue marble on the first draw and a pink marble on the second draw is
[tex]P\\\\=P(E)\times P(F)\\\\\\=\dfrac{n(E)}{n(S)}\times \dfrac{n(F)}{n(S)}\\\\\\=\dfrac{8}{20}\times\dfrac{8}{20}\\\\\\=\dfrac{4}{25}.[/tex]
Thus, the required probability is [tex]\dfrac{4}{25}.[/tex]
Option (2) is CORRECT.
What are the solutions of the equation 4x2 + 3x = 24 – x?
a.)–3, 2, or 4
b.)–3 or 2
c.)–2, 3, or 4
d.)–2 or 3
Answer:
Its B
Step-by-step explanation:
plz help in the picture below
What is the area of this polygon?
units²
5-sided polygon on a coordinate plane with vertices F, N, S, C, W. Point f is at (negative 4, negative 2), point N is at (2, 4), point s is at (5, negative 2), point c is at (5, negative 4), and point w is at (negative 4, negative 4)
In this exercise we have to use the knowledge of polygon area to calculate the area of a trapezoid, in this way we find that:
[tex]45 units[/tex]
So find the area of this rectangle, this area will be:
[tex]9*2 = 18[/tex]
Find the area of triangle FSN, this area will be:
[tex]A = b*h/2 = 9*6/2 = 54/2 = 27[/tex]
Sum all the areas will be:
[tex] 18+27 = 45[/tex]
See more about area at brainly.com/question/1631786
What is the surface area of a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches? 150 square inches 150 cubic inches 170 square inches 170 cubic inches
HELPPPP
Answer:
Option (3) is correct.
The surface area of a rectangular prism of given dimension is 170 square inches.
Step-by-step explanation:
Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.
We have to find the surface area of a rectangular prism of given dimension.
Since a rectangular prism whose base is 5 inches by 6 inches
That is length (l)= 5 inches
Width (w) = 6 inches
and height (h) = 5 inches.
Also . [tex]\text{surface area of a rectangular prism}=2(lw+wh+hl)[/tex]
Substitute, we have,
[tex]\text{surface area of a rectangular prism}=2(5\cdot 6+5\cdot 5+5\cdot 6)[/tex]
simplify , we have,
surface area of a rectangular prism = 170 inches²
Thus, the surface area of a rectangular prism of given dimension is 170 square inches
Sal is making bracelets for a fundraiser.he uses 6 inches of yarn per bracelets.how many bracelets can sal make with 5 feet of yarn
1. ______________ is process that you can do over and over, where each result does not affect the next.
Ex. Flipping a coin, rolling dice, choosing a card, etc.
Probability experiment or a trail is process that you can do over and over, where each result does not affect the next
Explanation: Trail is defined as a procedure that can repeated any number of times and the result of one trial does not affect the next. This mean each trail or a probability experiment is independent and not associated with the last result.