1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

Answers

Answer 1

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.


Related Questions

Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.

Answers

I need the table and the answer choices to help you though

Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?

Answers

Answer:

d. J

Step-by-step explanation:

Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.

Raul's unit rate is 1/25 book point to each page he reads.

Graph J also has a unit rate of 1/25 (y/x).

Therefore graph J models a relationship with the same unit rate.

Which best describes a polynomial?

Answers

Answer:

an algebraic expression containing one or more terms

Step-by-step explanation:

Find answer to picture problem

Answers

Answer:

Can you add the picture please???

Step-by-step explanation:

y=-8x
y=-5x-3
solve each system of equation

Answers

Answer:

y=-8, x=1

Step-by-step explanation:

Find the slope using the formula.
(3,-2) and (3, 6)

Answers

Answer:

m = undef

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, -2)

Point (3, 6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{6+2}{3-3}[/tex]Add/Subtract:               [tex]m=\frac{8}{0}[/tex]Divide:                          m = undef

When we divide anything by zero, we will get undefined. Therefore, this would be a vertical line.

The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?

Answers

To show a constant increasing rate, multiply the number by 1.02.
2700x1.02=2754
2754 students in 2016
2754x1.02=2809 students in 2017
2809x1.02=2865 students in 2018
2865x1.02=2922 in 2019
2922x1.02=2981 in 2020

Someone please help answer completely !

Answers

Answer:

the answer is  [tex]T=\frac{VP}{8}[/tex]

Step-by-step explanation:

V=[tex]\frac{8T}{P}[/tex]

you need to make T the subject of the formula:

step1: multiply P for both sides.

V=[tex]\frac{8T}{P}[/tex]

VP=8T

step2: divide by 8 for both sides.

T=[tex]\frac{VP}{8}[/tex]

the answer is  [tex]T=\frac{VP}{8}[/tex]

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.

Answers

Answer: H0 : β1 = β2 = β3 = β4 = 0

Step-by-step explanation:

The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.

50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

5 ( 1 + 20 n )

Step-by-step explanation:

Answer:

Your answer will be 150

Step-by-step explanation:

your answer going to be 150

What is the change in temperature from 20 degrees F dropping to -33 degrees F?

Answers

Answer:

53 degrees.

Step-by-step explanation:

Your just finding the difference or the "change" So I did 20+33=53.

Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.

PLEASE MARK BRAINLIEST

Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year (data from 2010 to 2011). If emissions continue to increase at this rate, about how much higher will total emissions be in 2035 than in 2010? Using the approximate formula, emissions will increase by a factor of between 2010 and 2035. Using the exact formula, emissions will increase by a factor of between 2010 and 2035. (Round to two decimal places as needed.)​

Answers

Answer:

125%

Step-by-step explanation:

5% multipled by 25 years (from 2010 - 2035) = 125%

And i aint never seen to pretty best friendsssss

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

What is the fundamental principlmultipliediplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.

Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.

Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.

Therefore, 5% multipled by 25 years (from 2010 - 2035)

0.05 x 25 = 125%

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

Learn more about multiplications;

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Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 1)(x - 3)(x - 4)

Answers

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

the are three roots -1,3,and 4

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023

Answers

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

Fast plz
The options are
-Is
-Is not

Answers

Answer:

the rate of change is constant

Step-by-step explanation:

Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1​

Answers

Answer:

B

Step-by-step explanation:

4|x - 3| > 8=x< 1 and x2 5

i think

The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:​

Answers

Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

=============

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20

What is the simplest form for 15:25​

Answers

Answer:

3/5

Step-by-step explanation:

Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)

Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?

•10.0
•13.4
•17.1
•21.6

Answers

Answer:

B. 17.1

Step-by-step explanation:

Edge 2020. Hope this helps.

The magnitude of 2(u-v +w) is √292.

The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.

We need to find the value of 2(u-v+w).

How to find the magnitude of vector?

The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.

Now, 2(2i + 3j-(-i)+5i-6j)

=2(2i+3j+i+5i-6j)

=2(8i-3j)=16i-6j

The magnitude of 16i-6j=√16²+6²=√256+36=√292

Therefore, the magnitude of 2(u-v +w) is √292.

To learn more about the magnitude of vectors visit:

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At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?

㏒㏑⊂·_·⊃㏒㏑

Answers

117 tickets
You multiply the packs of tickets times the number of tickets per pack which will tell you how many tickets she has in total, 9*17=153 then subtract how many tickets she used from the total number of tickets. 153-36 then you will your answer

12 students is what percent of 60 students?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

I believe it is 20% based on what I know.

which graph represents the compound inequality -3 greater than and greater than 1​

Answers

Answer:

Its the 3rd option

Step-by-step explanation:

when -3 is greater hence (-infinity,-3)

when the number is greater than 1 then (1,infinity), hence

from top to bottom, the 3rd option is the answer:

(-infinity,-3) UNION (1,infinity)

8.7 x 10 to the 2nd power

Answers

Answer:

870

Step-by-step explanation:

10^2=100. 8.7*100 is 870.

Answer:

7,569

Step-by-step explanation:

8.7 × 10= 87

87 squared (to the 2nd power) is 87×87=7,569

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.

What is the factored form of the equation 4x^2-11+6=0

Answers

Answer:

(4x−3)(x−2)=0

Step-by-step explanation:

Step-by-step explanation:

4x²-11+6=0

4x²-5=0

x²=5

4

x=√5

4

hope it help u


Hii Answer this please :)))((((

Answers

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

The isosceles triangles have two sides that are the same.

hope this helped

bye

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

bc i know it i think this the answer

Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.

How much time did Amelie spend on her homework altogether?


16 hour

37 hour

34 hour

1112 hour













Jessica walks 13 mile to the post office and then 25 mile to the library.

How far did Jessica walk altogether?


215 mile

38 mile

1115 mile

34 mile

Answers

Answer:

37 hours

38 miles

Step-by-step explanation:

14+23=37

25+13=38

Answer:

37 hours and 38 miles

Step-by-step explanation:

14+23=37

13+25=38

Subtract using the number line. - 1/3-(-1/2)​

Answers

Answer:

answer is 1/1

Step-by-step explanation:

The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023

Answers

Answer:

Option C: 0.7734

Step-by-step explanation:

From z-distribution table attached,

P(Z ≤ -0.75) = 0.2266

However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.

Thus;

P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266

P(Z > -0.75) = 0.7734

Option C is the correct answer.

Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99

Answers

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977

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