1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
3 years ago
7

Berta wants to plant 1,224 trees in 8 equal rows. How many trees will go in each row?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer: 153 trees in each row  

You would divide 1,224 by 8 to get 153 trees in each row.

You might be interested in
A five​-digit number starts with a number between 4​-9 in the first​ position, with no restrictions on the remaining 4 digits. a
Maurinko [17]

Answer:

(a) Pr = 0.3024

(b) Pr = 0.6976

(c) Pr = \frac{^9P_{n-1}}{10^{n-1}}

Step-by-step explanation:

Given

Start = \{5,6,7,8\} i.e. between 4 and 9

n(Start) =4

Digits = 5

Solving (a): Probability that each of the 5 digit are different

Since there is no restriction;

The total possible selection is as follows:

First\ digit = 4 (i.e. any of the 4 start digits)

Second\ digit = 10\\ (i.e. any of the 10 digits 0 - 9)

Third\ digit = 10 (i.e. any of the 10 digits 0 - 9)

Fourth\ digit = 10 (i.e. any of the 10 digits 0 - 9)

Fifth\ digit = 10 (i.e. any of the 10 digits 0 - 9)

So, the total is:

Total = 4 * 10 * 10 * 10 * 10

Total = 40000

For selection that all digits are different, the selection is:

First\ digit = 4 (i.e. any of the 4 start digits)

Second\ digit = 9 (i.e. any of the remaining 9)

Third\ digit = 8 (i.e. any of the remaining 8)

Fourth\ digit = 7 (i.e. any of the remaining 7)

Fifth\ digit = 6 (i.e. any of the remaining 6)

So:

Selection =4 * 9 * 8 * 7 * 6

Selection =12096

So, the probability is:

Pr = \frac{Selection}{Total}

Pr = \frac{12096}{40000}

Pr = 0.3024

Solving (b): At least 1 repeated digit

The probability calculated in (a) is the all digits are different i.e. P(None)

So, using laws of complement

We have:

P(At\ least\ 1) = 1 - P(None)

So, we have:

Pr= 1 - 0.3024

Pr = 0.6976

Solving (c): An expression to model the probability.

<em>Using (a) as a point of reference, we have;</em>

Pr = \frac{Selection}{Total}

Where

Selection =4 * 9 * 8 * 7 * 6 ---- for selection of 5 i.e. n = 5

Total = 4 * 10 * 10 * 10 * 10

Selection =4 * 9 * 8 * 7 * 6

This can be rewritten as:

Selection = 4 * ^9P_4

4 can be expressed as: 5 - 1

So, we have:

Selection = (5-1) *^9P_{5-1}

Substitute n for 5

Selection = (n-1) *^9P_{n-1}

Selection = (n-1)^9P_{n-1}

Total = 4 * 10 * 10 * 10 * 10

This can be rewritten as:

Total = 4 * 10^4

Total = (5-1) * 10^{5-1}

Total = (n-1) * 10^{n-1}

Total = (n-1) 10^{n-1}

So, the expression is:

Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}

Pr = \frac{^9P_{n-1}}{10^{n-1}}

<em>Where n represents the digit number</em>

5 0
2 years ago
Choose the correct simplification of the expression (3x)^4.
Y_Kistochka [10]
The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4
6 0
2 years ago
Read 2 more answers
Help me please as soon as possible
SIZIF [17.4K]
If each case weighs 24 pounds, then 1p=24 pounds. so if we're trying to find a function of weight, p=24c.

Example: When you have 2 cases, you plug in a 2 for c

p=24c
p=24(2)
p=48

So if you have two cases, it will total 48 pounds,

So that is why the equation is p=24c. Hope this helps!


6 0
2 years ago
What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant f
Fiesta28 [93]

Answer:

Cardiovascular system

Step-by-step explanation:

8 0
2 years ago
Express your answer in standard form.<br> (x² - 2x + 3)(-2x² + 4x – 1)<br> Please help I'm stuck
arlik [135]
2x^4 + 8x^3 - 15x^2 + 14x - 3
i think this is the answer. hope this helpss
8 0
3 years ago
Other questions:
  • Is the equation always sometimes or never true . . 15+2x-4=9x+11-7x. . 2x+3(4x-1)=2(5x+3)+4x
    7·1 answer
  • Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 115, n(B) = 90, and n(A ∩ B) = 50. Find the number of
    9·1 answer
  • Find the area of the entire rectangle?
    15·1 answer
  • What is the additive inverse of the complex number 9 – 4i?
    14·1 answer
  • Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
    15·1 answer
  • Write an algebraic expression that can get you the final price of an item that cost $x with a 8.5% tax and a 30% discount?
    15·1 answer
  • ARTICLES OF CONFEDERATION<br> What problems did the Articles of Confederation lead to?
    9·1 answer
  • Do whatever u can no messing round plz
    5·1 answer
  • The area of a square is 28cm,what is the lenght of the square​
    6·1 answer
  • The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!