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AnnZ [28]
3 years ago
14

How many steel rods are in a staircase frame with 12 steps?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
180 steel rods to be exact
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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
What is a cube in math
DerKrebs [107]

Answer:

In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube is also the number multiplied by its square: n3 = n × n2 = n × n × n.

Step-by-step explanation:

7 0
3 years ago
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An accountant forgets to record a transaction. What type of error is this?
riadik2000 [5.3K]
The answer to this question is Errors of Omission
Errors of omission refers to a mistake that happens when the accountant does not do something that he/she should've done. Due to development in accounting software, errors of omission could be evaded by setting some reminder system of each step that must be followed in the accounting process
4 0
3 years ago
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The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensi
atroni [7]

Answer:

length is 5

width is 4

Step-by-step explanation:

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3 years ago
How many Solution(s) does have 5=5? <br> Infinite, none, or one solution(s)?
Nataly [62]

Answer:

infinite solutions

Step-by-step explanation:

any equation that is like that has infinite solutions such as 7=7 or 2=2

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