The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.

Answers

Answer 1

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.

The Triangular Arrangement Of Numbers Shown Is Known As Pascal's Triangle. Use Inductive Reasoning To

Related Questions

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!

Step-by-step explanation:

Who’s good at 11 grade math pleasee help me comment o this :(

Answers

Im in 10th but I take advanced courses :)

Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mind that each score can be no more than 10 points.

Answers

Answer:

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

Step-by-step explanation:

The question says you get 7 points per quiz out of 3 quizzes.

7+7+7 = 21

Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.

Remember;

None of these scores are to be higher than 10. We need to add up scores below 10.

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

All of these gives 7 as average.

light travels 3 x 10^5 kilometers in one second. how far does it travel in 7.6 seconds?

Answers

Answer:

1800000 kilometers

Step-by-step explanation:

i think im not 100% sure

1) If a bookshelf is 28 inches long, how many 1 inch books will fit on the bookshelf?

Answers

Answer:

28

Step-by-step explanation:

28/1 = 28

28 books would be able to fit on the bookshelf is it is 28 inches an the books are all 1 inch you can fit 28

A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).

Answers

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

8 groups of ___ hundredths is 0.32

Answers

Answer:

the answer is 0.4 The reason is because 0.4 x8=0.32

Step-by-step explanation:

Anyone ??? Help with this one

Answers

Answer:

(4x-3y)(4x+3y)

Step-by-step explanation:

This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)

Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].

It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.

Now, you need to do (4x-3y)(4x+3y)

Hope this helps

The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)

use the graph if y=f(x) below to find f(4)

Answers

Answer:

there is no graph. can you edit the question?

Answer:

Ok:

Step-by-step explanation:

Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number

help me please !!!!!!!

Answers

Answer:

I don't see the screenshot and i'm not going to download it...

Step-by-step explanation:

yikes

Please help
Trying to help daughter do virtual. And I stink in this stuff!
w(t) = 3t – 1; t = 5

Answers

The answer is W =14/5 I believe

1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7​

Answers

Answer:

AUB=2,4,6,8,10 & AnB=1,3,5,7,9

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?

Answers

Rectangle B = 56inches by 28inches
It’s pretty easy you just multiply 8 by 7 and 4 by 7.

3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.

Answers

Answer:

The p- value  is [tex]p-value  =  0.2033[/tex]

Its interpretation is  

As  [tex]p-value > \alpha[/tex]

The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  30 \  inches[/tex]

  The standard deviation is   [tex]\sigma  =  1.2 \  inches[/tex]

  The sample size is  n  =  100

  The sample mean is  [tex]\= x  =  30.1[/tex]

Let assume the level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is [tex]H_o  :  \mu \le 30[/tex]

The alternative is  [tex]H_a : \mu > 30[/tex]

Generally the test test is mathematically represented as

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

=>  [tex]z =  \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]

=>  [tex]z =  0.83[/tex]

Generally from the z-table  the  probability of (Z > 0.83 ) is

   [tex]p-value  =  0.2033[/tex]

From the value obtained we see that  [tex]p-value > \alpha[/tex] hence

 The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Help plz Easy math I know the answer isn’t A

Answers

Answer: B

Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.

You want to conduct a survey to determine the proportion of people who favor a proposed tax policy. How does increasing the sample size affect the size of the margin of error?
a. increasing n decreases E.b. increasing n increases E.c. increasing n will cause E to double in value.d. increasing n will not effect E.

Answers

Answer:

a. increasing n decreases E

Step-by-step explanation:

The sample size refers to the number (n) of units or observations taken from a population for a study. The results obtained from this sample size can be used to make generalizations about the entire population. The margin of error (E) is a measure of the sampling error or the percentage of the difference between the results obtained from the study and the true population value. The relationship between the sample size (n), and the Margin of error (E) is an inverse. That means

Sample size (n) ∝ 1/E

So, as the sample size increases, the margin of error decreases. This would be even more true if the accurate procedures for the experiment are followed.

f) graph the function in part e. (10 points)

Answers

Answer:

Step-by-step explanation:

Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)

The function can be written out f(x) = 1.99x + 3.

Express the value of f(x) for x = 0.

This would cancel out the slope, giving us a horizontal line on (0, 3).

f(0) = 1.99(0) + 3

f(0) = 3

You can try to graph the function using a software or by hand.

The graph is continuous because the x-values can have any input as a point.

The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.

Answers

Answer: I believe the answer is b. 55%

Step-by-step explanation:

200/ (550-200) * 100

Answer:

Ps the answer IS 55%

Step-by-step explanation:

Just took quiz on edg 2020

Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?

Answers

Answer:

bnbvmnbnjnmbkjbvkjhbjn

Step-by-step explanation:

lnjkkllknnhljknk

Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.​

Answers

Answer:

PEMDAS

Step-by-step explanation:

Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.

For Example:

P-Paraenthese

E-Exponent

M-Multiply

D-Divide

A-Add

S-Subtract

NOTE!

Remember to always Multiply and divide BEFORE adding and subtracting.

Hoped this helped!

How many solutions does this problem have 7(y+3)=5y+8

Answers

Answer:

7(y+3)=5y+8

y= -3/2  One solution

Step-by-step explanation:

P.9.115

A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?

The credit union is a better deal when writing or fower checks per month

Answers

This question was not properly written

Correct Question

A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?

The credit union is a better deal when writing fewer checks per month

Answer:

Writing between 0 to 99 checks makes the credit union a better deal.

Step-by-step explanation:

Let the number of checks be represented by x

Note, 1 cent = $0.01

A local bank charges $9 per month plus 2c per check.

2c = $0.02

$9 + 0.02× x

= 9 + 0.02x

The credit union charges $7 per month plus 4c per check.

4c = $0.04

= $7 + 0.04 × x

= 7 + 0.04x

The credit union is a better deal when writing fewer checks per month

Hence:

Credit union < Local bank

7 + 0.04x < 9 + 0.02x

Collect like terms

0.04x - 0.02x < 9 - 7

0.02x < 2

x < 2/0.02

x < 100 checks

Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.


A government may create and regulate natural monopolies because:

Answers

Answer:

they can handle the costs of providing essential services

Step-by-step explanation:

A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.

Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.

What is right?

An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.

Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,

Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.

Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5

Which is the better deal per car? 12 car washes for $100 or 5 car washes for $45

Answers

Answer:

12 Car washes for $100

Step-by-step explanation:

mark brainliest please.

Answer:

12 cars for $100

Step-by-step explanation:

This is because on car with this deal would cost $8.33 while with deal 2 one car would cost $9 and you want the cheaper deal in this case.

PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X​

Answers

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

Question 3 options: If 2y+13=y+5 then 2y + 1 = 3y + ___. What number would go in the blank? If you continued to solve, would y = - 14? state either yes or no

Answers

Answer:

Step-by-step explanation:

Given the expression 2y+13=y+5

To get the value of y, we willow the following steps:

Subtract 2y to both sides:

2y+13-2y = y+5-2y

13 = -y+5

subtract 5 from both sides:

13-5 = -y+5-5

8 =  -y

-y = 8

multiply both sides by -1

-(-y) = -8

y = -8

Hence the value of y = -8 not -14

So NO,if you continue to solve, y would not be -14

If jake had 2 apples and Albert ate 1 how many apples are left?​

Answers

One apple would be left
Answer: 1 Apple

Explanation: If Jake has 2 apples and 1 is taken away Jake 1 apple left.

Which is equal to 0.63?

Answers

Answer:

63%

Step-by-step explanation:

A percentage is x/100.  So 0.63 = x/100.  So multiply by 100, and you'll get 63%.

0.63 is equal to 63%. When finding the percentage of a decimal multiply by 100. Therefore, 0.63 x 100 equals 63%•

0.63 x 100 = 63%

Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided

Answers

Answer:

Its A >_<

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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