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4 years ago

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A number is a palindrome if it reads exactly the same from right to left as it does from left to right. For example, 66818 and 2

552 are all palindromes. If a three digit number is chosen at random, what is the probability that it is a palindrome

1 answer:

Nezavi [6.7K]4 years ago

5 0

66818 isnt a palindrome

66818
81866

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Factor 48m + 42n, to identify the equivalent expressions. (Choose 2 answers) A.6(8m + 7n) B.3(16m + 14n) C.(12m + 21n) D.7(7m +

n200080 [17]

Answer:

A.6(8m + 7n)

B.3(16m + 14n)

Step-by-step explanation:

48m + 42n

Factor out 6

6(8m+7n)

We could have also factored out 3

3( 16m + 14n)

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3 years ago

Find the perimeter of the square. 5(x+2). x+2(x+8)

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Answer:

The length of each of the 4 sides of a square is the same. Then

5x - 8 = 3x

2x = 8

x = 4

5(4) - 8 = 12

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L = 4.

The perimeter is 4 times the length.

P = 4L = 4(4) = 16

Step-by-step explanation:

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3 years ago

A store sells T-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on T-shirts and sweatshirts.

sergiy2304 [10]

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3 years ago

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A cereal box in the shape of a rectangular prism has a volume of 18x^3 - 3x^2 - 6x. What are three possible linear expressions f

Tatiana [17]

From factoring, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).

Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).

Thus, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2)

Learn more about the factoring here:

brainly.com/question/11579257

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2 years ago

Suppose that a random sample of size 36 is to be selected from a population with mean 50 and standard deviation 7. What is the a

frez [133]

Answer:

The probability that the sample mean will be within 0.5 of the population mean is 0.3328.

Step-by-step explanation:

It is provided that a random variable <em>X</em> has mean, <em>μ</em> = 50 and<em> </em>standard deviation, <em>σ</em> = 7.

A random sample of size, <em>n</em> = 36 is selected.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu=50$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{7}{\sqrt{36}}=1.167$

So, the distribution of the sample mean of <em>X</em> is N (50, 1.167²).

Compute the probability that the sample mean will be within 0.5 of the population mean as follows:

$P(|\bar X-\mu_{\bar x}|\leq 0.50)=P(-0.50$

$=P(\frac{-0.50}{1167}$

Thus, the probability that the sample mean will be within 0.5 of the population mean is 0.3328.

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4 years ago