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skad [1K]
3 years ago
9

Factor 16x 2 + 24x + 9

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0
16x^2+24x+9= 16x^2 + 12x + 12x + 9\\\\=4x(4x+3)+3(4x+3)\\\\=\boxed{\bf{(4x+3)(4x+3)=(4x+3)^2}}
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If there are 4 boys and 6 girls write each of the following as a ratio: boys to girls and girls to people.
sesenic [268]

Step-by-step explanation:

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"a" and integer is a whole number not a fraction or a decimal
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3 years ago
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What is 832.248 rounded to the nearest tenth? A. 830 B. 832.2 C. 832.25 D. 832.3
OleMash [197]
Hi there.

To start, we have to understand where the ten the place is.

Hint: it's 1 place behind the decimal point.

Now we need to know what numbers behind the tenths place make it round up or down.

If the number behind it is 4 or under, round down.

5 & up, round up.

In this case, 830.248 has 2 numbers behind the decimal, so we have to round those THEN the 2 in the tenths place.

830.25 to 830.3

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4 0
3 years ago
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf
4 0
3 years ago
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balu736 [363]

Answer:5y+13

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