Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical.

Answers

Answer 1

Answer:

2310 ways

Step-by-step explanation:

We are given;

Number of cans = 11

Number of cans of corn = 4

Number of cans of peas = 1

Number of cans of beets = 6

Following the rule of combination and permutations and applying it to this question, we have;

Number of ways = 11!/(6! × 1! × 4!)

Number of ways = 2310 ways


Related Questions

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.

A 4-column table with 3 rows. The first column has no label with entries likes mountain bikes, does not like mountain bikes, total. The second column is labeled liking touring bikes with entries a, c, 70. The third column is labeled does not like touring bikes with entries b, 5, e. The fourth column is labeled total with entries 47, d, 80.

What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10
a = 42, b = 5, c = 28, d = 33, e = 10
a = 5, b = 42, c = 28, d = 10, e = 33
a = 5, b = 10, c = 28, d = 33, e = 42

Answers

Answer: Choice B

a = 42, b = 5, c = 28, d = 33, e = 10

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

Explanation:

Refer to the diagram below. We have a table of values in which some values (if not most) are unknown. We have variables as placeholders until we can figure out which numbers replace them.

Along the bottom row, we see that 70+e = 80, which solves to e = 10. I subtracted 70 from both sides.

That must mean the answer is between choice A or choice B.

--------------------------

Since e = 10, and b+5 = e (third column), we can replace the 'e' with 10 to get the equation b+5 = 10. That solves to b = 5. This rules out choice A.

The final answer is choice B

---------------------------

If you want to keep going to find a, c and d, then let's solve a+b = 47 which is the same as a+5 = 47 after replacing letter b with 5.

a+5 = 47 solves to a = 42 after subtracting both sides by 5.

Then along the first column, we see that a+c = 70 which is the same as 42+c = 70. Isolating c gets us c = 28

Lastly, c+5 = d is shown along the second row. Plug in c = 28 to find that d = c+5 = 28+5 = 33

So overall we have:

a = 42, b = 5, c = 28, d = 33, e = 10

Answer:

b is correct

Step-by-step explanation:

In isosceles △HAM, m∡A =32°, . What is m∠H?

Answers

Answer:

This all I can do

Step-by-step explanation:

m∠F. 20 In the diagram below, LATE is an isosceles ... 32 In the diagram of JEA below, m∠JEA = 90 and m∠EAJ = 48. ... cylinder that has a height of 15 cm and a diameter of 12 cm? ... If m∠HAM = 12, what is m∠AMT ? 1) 12. 2) 78. 3) 84.

The table contains the lengths of the sides of different triangles. Do the given side lengths form a right triangle?

Drag and drop Yes or No into the box next to the side lengths.


5 cm, 12 cm, 13 cm

8 cm, 9 cm, 10 cm

3 cm, 4 cm, 4 cm

7 cm, 24 cm, 25 cm

1 cm, 4 cm, 9 cm

Answers

Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

Graph the set on a number line. {-1/2, -1 3/4}

Answers

Answer:

D

Step-by-step explanation:

Each dot is 1/4 and we are going from 0 to -2

help please step by step

Answers

Answer:

1. 33km

2. 1.2ft

3. 16in

4. 20.1ft

5. 7.2yd

6. 38mi

Step-by-step explanation:

1. 10+11+12=33km

2. 1/2(1.8+0.6)1=1.2ft

3. 5+5+3+3=16in

4. 4.1+2.7+5.4+7.9=20.1ft

5. 1.8+1.8+1.8+1.8=7.2yd

6. 12+7+12+7=38mi

Find the area of this regular polygon. Round to the nearest tenth. 8.8 ft

Answers

Answer:

I don't really know but I'm pretty sure u can fix it and answer this question

3x + 1 over 4y2

What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.

Answers

Answer:

5/32

Step-by-step explanation:

(3x+1)/4y^2

(3(3)+1)/[4(4)^2]

(3*3+1)/[4(4)(4)]

(9+1)/[4*16]

10/64

simplify

5/32

The value of the expression at x = 3 and y = 4 is  [tex]\frac{5}{32}[/tex]   .

Concept:Firstly we will convert the expression into numerical form.Then, we will substitute the value of x & y respectively in the expression and simplify it.

How to solve the given question?Converting the expression into numerical form.
∴ Let [tex]F(x,y) = \frac{3x+1}{4y^2}[/tex]
Substituting x = 3 and y = 4 in the given expression.
∴[tex]F(x = 3,y =4) = \frac{3(3)+1}{4(4)^2} = \frac{10}{64}[/tex]
∴ [tex]F(3,4) = \frac{5}{32}[/tex]

Thus, the value of the expression at x = 3 and y = 4 is  [tex]\frac{5}{32}[/tex]   .

Learn more about expressions here:

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HELP ME PLSSSS!!!
f(x) = x2 What is g(x)?

A. g(x) = 2x²
B. g(x)=1/2x2
C. g(x)=(1/2x)2
D. g(x)=1/4x2

Answers

Answer:

B. g(x)=1/2x2

Step-by-step explanation:

Function f(x):

[tex]f(x) = x^2[/tex]

At [tex]x = 2, y = f(2) = 2^2 = 4[/tex]

Function g:

Function g is a division of function f by a value. When [tex]x = 2, y = 2[/tex], that is, the value of f is divided by two, and thus, the correct answer is given by option b.

If y= 5x- 2 were changed to y = x-2, how would the graph of the new
function compare with the first one?
O A. It would be less steep.
O B. It would be steeper.
O C. It would be shifted down.
OD. It would be shifted left.

Answers

The correct answer is a d

Butch will miss an important TV program while taking his statistics exam, so he sets
both his VCRs to record it. The first one records 70% of the time, and the second one
records 60% of the time. What is the probability that he gets home after the exam and
finds? (We assume that events A and B are independent, so with P(A)=0.7 and
P(B) = 0.6 respectively.)
(a) No copies of his program?
(b) One copy of his program?

Answers

Answer:

b

Step-by-step explanation:

this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will

Describe, in your own words, what "convenience sampling" is. 1 point

Answers

Answer:

It is a type of non-probability sampling that involves the sample being drawn from that part of the population that is close at hand

Encontrar X..................

Answers

X is 51
Because I did this a few days bakc

số 37 không có ước nào là số nguyên tố
nhận xét trên đúng hay sai ?

Answers

Chào Đứa bé!!

Được thôi, nếu vậy câu trả lời cho của bạn câu hỏi là có/thật

I hope it helps u!!

Just comment if u have any questions :-)

A delivery truck manager takes a sample of 25 delivery trucks and calculates the sample mean and sample standard deviation for the cost of operation. A 95% confidence interval for the population mean cost is constructed and found to be $253 to $320. He reasons that this interval contains the mean operating cost for the entire fleet of delivery trucks since the sample mean is contained in this interval.

Required:
a. Do you agree with his reasoning?
b. How would you interpret this confidence interval?
c. Is this an appropriate use of a confidence interval?
d. Concerning your answers to parts a through c, what assumptions did you make (if any)? Does the Central Limit Theorem apply? Why or why not?
e. How does this apply or could apply to your profession?

Answers

Answer:

a) No.

b) Lies between 253 and 320.

c) No.

d) Central limit theorem is not applicable here.

e) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision

Step-by-step explanation:

1) No I do not agree, it's just because the mean should be always within the confidence interval. in this case, the above statement doesn't satisfy the condition.  

2)The true mean values at 95% confidence interval lies between 253 and 320.  

3) No, because this is only used for the difference in mean. If there is a difference then the mean is different.  

4) Central limit theorem is not applicable here. Since the sample size is very small, it better to use t distribution rather which indicated normal data.  

in case the sample size is greater than 30, we can then apply the central limit theorem.

5) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision.

PLEASE HELP ME ASAP!​

Answers

Answer:

A

Step-by-step explanation:

A


This is the correct answer

please help me and explain

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

the line passes (0, 1) and (2, 5)

the slope = (5-1)/(2-0) = 4/2 = 2

the equation :

y - 1 = 2( x -0)

y-1 = 2x

=> y = 2x + 1

Savannah needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 694 knives. There are currently 262 knives. If each set on
sale contains 12 knives, which inequality can be used to determine s, the minimum
number of sets of knives Savannah should buy?

Answers

Answer:

[tex]s\geq 36[/tex]

Step-by-step explanation:

Step 1, how many knives to buy?

The restaurant already has 262 knives. We can subtract this number from their needed 694 knives to find how many they still need:

[tex]694-262=432[/tex] knives.

Step 2, how many sets of knives?

The restaurant needs to buy 432 knives. We know the knives come in sets of 12, so we can divide to find the # of packs she needs to buy, determined by variable s.

Notice how the restaurant needs to buy a minimum of 694 knives, hence we use a greater or equal than symbol:

[tex]\fbox{\frac{432}{12} \geq s}\\[/tex][tex]s\geq \frac{432}{12}[/tex]

[tex]s\geq 36[/tex]

I hope this helps! Let me know if you have any questions :)

The inequality that can be used to determine s, the minimum number of sets of knives Savannah should buy is 694 ≥ 262 + 12s.

Given that;

The restaurant needs at least 694 knives. There are currently 262 knives.

Here, each set on sale contains 12 knives.

Let us assume that;

The minimum number of sets of knives Savannah should buy = s

Hence the inequality for the given condition is,

694 ≥ 262 + 12s

To learn more about inequality visit:

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|x+2|+4=11
A) x=5,-9

Answers

Answer:

the mod always gives positive answers

so the answer will be

Step-by-step explanation:

x+2+4=11

x+6=11

x=11-6

x=5

answer is x is 5

Answer:

x=5,9

Step-by-step explanation:

|x+2|+4=11

|x+2| = 7

next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.

Question 4 of 5
How many solutions does 8 + 6
=
– 4 + have?
A. Two solutions
B. One solution
C. No solutions
D. Infinitely many solutions
SUBMIT

Answers

Your answer would be “One solution”
Explanation:
You can switch what you do with the - 4
You can do
8 + 6 - 4 which is 10
Or
8 - 4 + 6 which would still give us 10

Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,
approximately what was the tctal employment in 2006?
a. 214,000
b. 187,000
C. 195,000
d. 189,000

Answers

Answer:

D 189,000

Step-by-step explanation:

Prove formally. Step by step with statements and reasons.

Answers

Answer:

K

K -> H

H

B -> ~H

H not B (sorry I couldn't type out the symbol)

~B

Step-by-step explanation:

Verbally, what's happening is this:

We have an assertion of K. Since K -> H (K implicates H), and B -> ~H (B implicates a negation of H), a negation of B (~B) is proven. (In this entire process, nothing is given about the symbols except K is true, hence the assertion, which then implicates that H is true and that B is negated since B implicates that negated H is true when in fact it is the opposite.)

Formally, the answer would be the following:

K

K -> H

H

B -> ~H

H not B (sorry I couldn't type out the symbol)

~B

Hope this helped!

Given right triangle ABC with altitude BD drawn to hypotenuse AC

Answers

Given:

In right triangle ABC, BD is the altitude drawn to hypotenuse AC.

[tex]AD=20, DC=45[/tex]

To find:

The length of BD.

Solution:

According to geometric mean theorem of triangles, if an altitude is drawn to the hypotenuse of a triangle, then the altitude is the geometric mean of the segments of the hypotenuse.

Using geometric mean theorem of triangles, we get

[tex]BD^2=AD\times DC[/tex]

[tex]x^2=20\times 45[/tex]

[tex]x^2=900[/tex]

Taking square root on both sides, we get

[tex]x=\dfrac{900}[/tex]

[tex]x=30[/tex]

Therefore, the length of BD is 30 units and the correct option is C.

what is the product of -3y²(-4y³+y-9)​

Answers

Answer:

-3y²(-4y³+y-9)​

-9y(-63y-9)

567y-81y

4 8 6 y

A bacteria culture is growing at a rate of
r(t) = 7e^0.6t
thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)

Answers

Answer:

[tex]{ \bf{r(t) = 7e {}^{0.6t} }} \\ { \tt{r(2) = 7 {e}^{0.6 \times 2} }} \\ = { \tt{7 {e}^{1.2} }} \\ = 23.241 \: thiusand bacteria \: per \: hour[/tex]

23.2 bactéria that is growing I think

HW HELP ASAP PLZZZZZ

Answers

Answer:

3

Step-by-step explanation:

I think its 3 because when we add 2 to x the graphic must be continue two step to right

escribe un acto bueno de las personas y explica por qué es bueno​

Answers

Answer:

Un buen acto o acción podría ser el donar dinero a la caridad, o contribuir con alimentos a comedores sociales. Estas serían buenas acciones porque, sin ninguna duda, ayudarían a contribuir con el bienestar de la sociedad, a través de la realización de medidas efectivas para luchar contra la pobreza, el hambre y la desigualdad de la población.

Match each inequality to the number line that represents its solution

Answers

Answer:

x - 51 [tex]\leq[/tex] 43

x - 99 [tex]\leq[/tex] -104

75 < 69 - x

150 + x ≤ 144

Step-by-step explanation:

What base makes the equation below true?

Note: A number should be entered, not a word.

Answers

Answer:

4

Step-by-step explanation:

in base 4

21 = (2 * 4) + (1 * 1) = 9

5. In ALMN if mL = 48° and mZN = 24", then
O ALMN is an obtuse isosceles triangle
O ALMN is an acute scalene triangle
O ALMN is an obtuse scalene triangle
O ALMN is an acute right triangle
None of the above

Answers

9514 1404 393

Answer:

  (c)  ΔLMN is an obtuse scalene triangle

Step-by-step explanation:

The two given angles are different measures and total less than 90°. That means the third angle will be more than 90°, an obtuse angle. Since all of the angles are different, the triangle is scalene.

  ΔLMN is an obtuse scalene triangle

A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.

x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152

Answers

Answer:

The mean is [tex]\mu = 69.25[/tex]

Step-by-step explanation:

We are given the following distribution:

P(x = -500) = 0.076

P(x = -250) = 0.191

P(x = 0) = 0.265

P(x = 250) = 0.316

P(x = 500) = 0.152

Find the mean, µ for the probability distribution.

To find the mean, we multiply each outcome by its probability. So

[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]

The mean is [tex]\mu = 69.25[/tex]

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