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frutty [35]
2 years ago
14

Is 9 a factor of 54x + 63​

Mathematics
2 answers:
Zolol [24]2 years ago
7 0

Answer:

yes

Step-by-step explanation:

It is because 9 divides into 54 and 63

Nookie1986 [14]2 years ago
4 0

Answer: Yes

Step-by-step explanation:

If you take 9 and divided by 54x and 63

like this 9(6x+7)

You can see that 9 is a factor of 54x+63

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It is known that 10% of the calculators shipped from a particular factory are defective. In a random sample of ten calculators,
umka2103 [35]

Answer:

0.7361

Step-by-step explanation:

In this question we have

number to be 10

Then we have a probability of 10% = 0.10

We have q = 1-p

= 1-0.10 = 0.90

Then the probability of not more than 1 being defective:

P(x=0) + p(x= 1)

(10C0 x 0.1⁰ x 0.9^10-0)+(10C1 x 0.1¹ x 0.9^10-1)

= 1 x1 x0.3487 + 10 x 0.1 x 0.3874

= 0.3487 + 0.3874

= 0.7361

This is the the required probability and this answers the question.

probability = 10 percent = 0.1

q= 1- 10percent = 90% = 0.9

n = 4

To get the required probabiltiy for this question is

P(not greater than one is defective )=P(x=0)+P(x=1)

= 4C0x(0.1)⁰x(0.9)⁴+4C1x(0.1)¹x(0.9)³

= 0.9477

The required probability is 0.9477

5 0
3 years ago
The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the
12345 [234]

Answer:

4x^2-21x-2

Step-by-step explanation:

Given that:

Difference of two trinomials is x^2 - 10x + 2

One of the two trinomials is  3x^2 - 11x - 4

To find:

The other trinomial = ?

Four options are:

2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2

Solution:

Let the two trinomials be A and B.

Given A - B = x^2 - 10x + 2

B = 3x^2 - 11x - 4

We have to find the other trinomial A.

A - B = x^2 - 10x + 2

A - (3x^2 - 11x - 4) = x^2 - 10x + 2

\Rightarrow A = x^2 - 10x + 2 + (3x^2 - 11x - 4)

\Rightarrow A = 4x^2-21x-2

So, the correct answer is 4x^2-21x-2.

3 0
3 years ago
A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit o
zimovet [89]

Answer:

24 books.

Step-by-step explanation:

The number of books that that can be fitted into the shelf is equal to the width of the self divided by the width of each book:

\boxed{n=\frac{36inches}{1.5inches} =24\:books }

3 0
3 years ago
George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a
torisob [31]
Your answer would be 15 m if i’m doing it right
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Comeplete the table by supplying the needed data in each column
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What do we complete there is no picture
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