A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?

Answers

Answer 1

Step-by-step explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer 2

Answer:

303600

Step-by-step explanation:

There are:

30 seniors, 38 juniors, 24 sophomores, and 18 freshmen

The president must be a senior.

Number of ways = 30

The assistant must not be a freshman.

Number of ways = 30 + 38 + 24 = 92

The accountant can be anyone.

Number of ways = sum of all = 110

Number of ways to pick officers:

30*92*110 = 303600

Related Questions

Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =

Answers

Answer: 21

Step-by-step explanation:

Ok so first of all the numbers in the parentheses go first.

So 6 to the power of 2 (6^2) would be 6x6 which equals 36

50-36=14

After that you just keep rewriting the problem after every step.

Since the 3 is outside of the parentheses, you would multiply it with the 14

3x14=42

Finally 42÷ 2=21

3x (50 - 6^2) ÷ 2 =

        3(14)÷ 2

           42÷ 2= 21

Hope this helps (:

Btw sorry if it's a bit confusing but the answer is 21

2.
Which expression is equivalent to Xy 2/9

Answers

Answer:

4/18 or divide both by anything or times it

Step-by-step explanation:

The volume of the polyhedron is ______ cm3.

Answers

Answer:

50.80 cm^3

Step-by-step explanation:

the polyhedron is a rectangular pyramid

Volume of a rectangular pyramid = 1/3 x ( width x height x length)

1/3 ( 4 x 5 x 3) = 20 inches

we need to convert inches to cm

1 in = 2.54 cm

20 x 2.54 = 50.80 cm^3

If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next

Answers

Answer:

OD. 6

Step-by-step explanation:

What is the surface area of the given figure?

A.2,520 cm2

B.2,792 cm2

C.4,080 cm2

D.2,280 cm2 ​

Answers

Answer:

D. 2,280 cm²

Step-by-step explanation:

Surface area of triangular prism = bh + (S1 + S2 + S3)*L

Where,

b = 24 cm

h = 10 cm

S1 = 26 cm

S2 = 24 cm

S3 = 10 cm

L = 34 cm

Plug in the values

Surface area = 24*10 + (26 + 24 + 10)*34

= 240 + 2,040

= 2,280 cm²

What are the terms in the expression 6r + 5y +3

Answers

Step-by-step explanation:

Your que. isn't very clear

Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information

Answers

Answer:

a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]

b) A test statistic of -2.06 should be used.

Step-by-step explanation:

Question a:

One water-treatment plant has a target pH of 8.5.

At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:

[tex]H_{0}: \mu = 8.5[/tex]

At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:

[tex]H_{a}: \mu \neq 8.5[/tex]

Question b:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8.5 is tested at the null hypothesis:

This means that [tex]\mu = 8.5[/tex]

The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.

This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]

[tex]z = -2.06[/tex]

A test statistic of -2.06 should be used.

Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.



Select all statements that must be true.

Answers

Step-by-step explanation:

the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor

Options 2nd, 3rd and 4th are correct options.

What are similar objects?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

As we know, in similar objects, the ratio of corresponding sides are equal.

Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'

Hence, Options 2nd, 3rd and 4th are correct options.

For more references on similarity, click;

https://brainly.com/question/26451866

#SPJ2

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks one pen at random and does not replace it, then she another pen.

Answers

Answer:

Step-by-step explanation:

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

Answers

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

         [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

        [tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

23 points!! Pls HELP Will mark brainliest if correct will report if answer is unrelated.

Answers

Answer:

Less than

Step-by-step explanation:

The span of student ones box plot is going farther in the negatives then student two

Answer:

less than

Step-by-step explanation:

student 1 is 64 and student 2 is 65

A triangle has sides with lengths of 21 meters, 70 meters, and 73 meters. Is it a right triangle?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

It is close, but not exactly a right triangle.

If it were a right triangle, we would have ...

  21² +70² = 73²

We have instead ...

  441 +4900 ≠ 5329

  5341 ≠ 5329 . . . . . . . . not a right triangle

The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period

Answers

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

What is a test analysis?

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

To know more about a test analysis follow

https://brainly.com/question/22516544

#SPJ2

There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /

Answers

There is 4 red in the bag
Total skittles = 16

So it will be 4/16
Simplify = 1/4

Use the following table to find the value of h '(2) if h(x) = f[g(x)]:
x 2 3 4
f(x) 5 1 6
g(x) 4 2 3
f'(x) 1 7 8
g'(x) 3 1 2

(A) 6
(B) 24
(C) 20
(D) 3

Answers

Answer:

The values of g(x): 2,8,2. So now what would the answer be then

Step-by-step explanation: h'(1)=f''(g(1))g'(1)=6f'(2)=6*5=30

Once u type the answer please type how u got it thanks<3

Answers

Answer:

[tex]2\frac{3}{4}[/tex]

Step-by-step explanation:

Let's bring them to the same denominator: 4

[tex]2\frac{1}{4} = 2 + \frac{1}{4} = \frac{2\cdot 4}{4} + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}\\~\\5 = \frac{5\cdot 4}{4} = \frac{20}{4}\\~\\5 - 2\frac{1}{4} = \frac{20}{4} - \frac{9}{4} = \frac{11}{4} = \frac{8}{4} + \frac{3}{4} = \frac{2\cdot 4}{4} + \frac{3}{4} = 2 + \frac{3}{4} = 2\frac{3}{4}[/tex]

2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum

Answers

Answer:

mad- 8.9796

iqr- 15

q1- 88

q2- 92

q3- 103

minimum- 85

maximum- 120

Step-by-step explanation:

the explanation is the picture **sorry i couldn't help with the dot plot**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?

Answers

[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]

Which expression best matches the statement:
Four times the sum of three and two.
4x3+2
4x3x2
(4x3) + 2
4 (3+2)

Answers

Answer:

4(3+2)

Step-by-step explanation:

3 and 2 are added beforehand, then multiplied by 4, which is why they are in parenthesis.

please help me

Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

1. 3x^2 - 192 = 0
Method:
Why:

2. x^2-x-6=0
Method:
Why:

3. x^2-6x-7=0
Method:
Why:

4. x^2-17x-7=0
Method:
Why:

Answers

Answer:

The values of x are +8 and -8

Step-by-step explanation:

1. The given equation is :

[tex]3x^2 - 192 = 0[/tex]

We need to find the value of x.

It can be done as follows :

[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]

So, the values of x are +8 and -8.

Which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure

Answers

Answer:

My best answer would be D since a square is not on here

Step-by-step explanation:

square

So the square has four lines of symmetry.

The rectangle has only two, as it can be folded in half horizontally or vertically

an equilateral triangle has three lines of symmetry.

Answered by; The One and Only #DRIPPQUEENMO


Ten centimeters is what fraction of one meter?

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

1/10 of 1 m = 10 cm.

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?

Answers

the answer is 24 water pour into the vase

What is the volume of the tank?

Answers

Answer:

find the area of the base which is as circle

Base area = pi * R^2 = 3.14 * 400 = 1256

now find the volume by multiplying the base and the height of the tank

Volume = 1256*35= 43960

If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.

Answers

Answer:

x = 6.44 cm

Step-by-step explanation:

Given that,

Volume, V = 147π in³

Height, h = 9 cm = 3.54 in

We need to find the value of x. The formula of this polyhedron is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in[/tex]

or

r = 16.35 cm

So, the value of x is equal to 6.44 cm.

What is the value of y in the equation 2(4y - 1) = 6?

A: 0
B: 1
C: 6
D: 8

Answers

Answer:

Step-by-step explanation:

Fist we multiply the values:

2*4y-2*1=6

8y-2=6

8y=6+2

8y=8

y=8:8

y=1

2*4(1)
2*4(1) - 2*1 = 6
Answer = 1

solve the following proportion for v

[tex] \frac{ v}{13} = \frac{8}{11} [/tex]

round your answer to the nearest tenth​

Answers

simplify both sides of the equation and isolate the variable
v= 9.45

A parrot is sold for 30% off the original price. If the sale
price of the parrot was $56, what was its original price?

Answers

Answer:

The original price of the parrot was $16.8

Step-by-step explanation:

Hoped this helped :)

Answer:

Just look this up and you shall get the answer:)

Step-by-step explanation:

Suppose that there are 5 children in a gymnastics class. One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down. The results are: Ashley (20), Brittany (8), Carol (22), Darla (26), and Erica (24). The mean number of steps these children took while walking on their hands is 20 steps. Identify the population and parameter.

Answers

Answer:

Population = number of children in gymnastic class = 5

Parameter = mean number of steps taken by the 5 children

Step-by-step explanation:

The population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research. In the scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.

Parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information. Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

Population is number of children in gymnastic class = 5.

Parameter is mean number of steps taken by the 5 children.

Given that,

Suppose that there are 5 children in a gymnastics class.

One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.

The mean number of steps these children took while walking on their hands is 20 steps.

We have to Identify,

The population and parameter.

According to the question,

Parameters are descriptive measures of an entire population. However, their values are usually unknown because it is infeasible to measure an entire population. Because of this, you can take a random sample from the population to obtain parameter estimates.

The population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research.

The scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.

Parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information.

Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

A parameter is a value that describes a characteristic of an entire population, such as the population mean.

The population mean and standard deviation are two common parameters.

Hence, Population = number of children in gymnastic class = 5.

Parameter = mean number of steps taken by the 5 children.

To know more about Probability click the link given below.

https://brainly.com/question/23135833

80 POINTS!!! WILL VENMO $5
1.Chest Elementary School is having a carnival to raise money for new computers and you have been volunteered to construct the cylindrical dunk tank. The tank must be 6 feet across and 7 feet high
Part A) If the dunk tank will be constructed of high-strength plastic sheets, how much plastic sheeting will you need for the sides and bottom of the tank?
Part B) What size (length and width) of rectangular sheet do you need to order for the sides assuming the tank will have only one seam? What diameter of the circle will you order of the tank?
Part C) to prevent injury to the participants, you need to cover the top edge of the tank with rubber edging. How much rubber edging do you need?
Part D)How many gallons of water are needed to fill the dunk tank to a depth of 4 feet and 8 inches to allow the participants to stand up after dunking without being underwater?
Part E)if the water flow out of the fill hose flows at 11.5 liters per minute, how many hours will it take to fill the dunk tank to the above depth

Answers

Answer:

WAKA WAKA AFRICAAAA AFRIKA BAM BAM MAMAMAMAMAMAMAMAMAM.A.

So did I get them 5 bucks?

Other Questions
According to the graph, how much Potassium bromide can be dissolved in 100 g of warer at 40C? Relative to the length of time life has been on Earth, have modern humans appeared recently or in the distant past?pLeAsE HeLp Me... and a 40N Torce in a southeriy direction?4. A car works harder to accelerate from 0 to 10km/hr than it does to maintain a 10km/hr speed. Why is this? A. b/cstatic friction is harder to overcome than kinetic or rolling friction. B. b/c static friction is easier to overcome thankinetic or rolling friction. C. b/c static friction is harder to overcome than potential energy. D. b/c static friction iseasier to overcome than gravity. How did the Lords Resistance Army (LRA) affect the lives of Grace Akola and others in Uganda? I need help please!!!!!! MARKING BRAINLIEST AND 20 pts help me solfege this where can the topic sentence of a paragraph be found Help ca't find the aswer Stella is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? (Please help I am so confused lol, I am not the brightest -w-) Before being admitted to William Frantz School, what did Ruby have to do to gain admission? A movie with the theme "looks can be decieving" But it needs to have been made within the past 10 years a transcribed strand of mRNA has the sequence of UACGA what was the DNA sequence and where does the mRNA need to go next HELP!!!!ASAP!!!HURRY!!!!NOW!!!FAST!!!PLS!!!!!! Help ASAP ASAP please please help please please ASAP please easy question huryyyyyyy Change the sentence from singular to plural.La camisa es vieja. pls help giving brainless. no link plss explain the use of NBT Natural gas is widely used as a fuel to cook food and provide heat in homes, to produce electricity in power plants, and to help transport us in cars and trucks.a. Trueb. False why lslam encouraged travel and exploration Find the measure of angle R ((look at pic pls help)A- 45B- 60C- 90D- 30