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4 years ago

Factor each expression. 2p³+6p²+3p+9

Mathematics

2 answers:

larisa86 [58]4 years ago

8 0

(p+3) (<span> 2p squar 2 +9)\
have a great day!!!!:)</span>

Natasha2012 [34]4 years ago

6 0

$2p^3 + 6p^2 + 3p + 9 \\ \\ 2p^2 (p + 3) + 3(p + 3) \\ \\ (p + 3)(2p^2 + 3) \\ \\$

The answer is: (p + 3)(2p² + 3).

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What is the prime factorization of 2x3x5x7

Mashutka [201]

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

6 0

3 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o

Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:

In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean

Therefore in our case

μ + σ = 44 + 10 = 54

And

μ - σ = 44 - 10 = 34

a) Then 68,34 % of values will fall in this interval

We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %

b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64

64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0

3 years ago

An angle is bisected, forming two new angles. If the original angle had a measure of 56°, what is the measure of each new angle?

IrinaVladis [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.

katrin2010 [14]

Answer:

35.8

Step-by-step explanation:

$\frac{340.1}{9.5}$ = 358

We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

Also,

Both values are to one decimal places and we can use this to solve the problem;

9 can divide 340 in about 37 place with a remainder of 7,

So, it is appropriate to make the solution 35.8

5 0

3 years ago

In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the pro

Mekhanik [1.2K]

Answer:

(B) No. A binomial probability model applies to only two outcomes per trial.

Step-by-step explanation:

The binomial probability is the probability of having $x$ sucesses on $n$ repeated trials of an experiment that can only have two outcomes. This is why it is called the binomial probability.

Since in our problem there are three possible outcomes, the binomial probability cannot be used.

The correct answer is (B)

(B) No. A binomial probability model applies to only two outcomes per trial.

5 0

3 years ago