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Lelu [443]
3 years ago
13

Factor the polynomial.

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0
Polynomials are classified according to their number of terms. 4x 3<span> +3y + 3x </span>2<span> has three terms, -12zy has 1 term, and 15 - x </span>2<span> has two terms. As already mentioned, a polynomial with 1 term is a </span>monomial<span>. A polynomial with two terms is a </span>binomial<span>, and a polynomial with three terms is a </span>trinomial<span>.</span>
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PLEASE HELP ASAP!
jarptica [38.1K]
$281 = 5%

The total amount would be $5,620
8 0
3 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 32}{1.5}

X - 32 = -1.645*1.5

X = 29.5

Heights of 29.5 and below could be a problem.

4 0
2 years ago
Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch piec
wariber [46]

Answer:

Step-by-step explanation:

You have right triangles, so use the Pythagorean Theorem

x = length of diagonal

8² + 10² = x²

164 = x²

x = √164 = 2√41 ≅ 12.8 in

3 0
3 years ago
What will be the result of substituting 2 for x in both expressions below?
Gnom [1K]

Answer: pretty sure the answer is A

Step-by-step explanation:

1/2(2) + 4 = 1 + 4 = 5

2 + 6 - 1/2(2) -2 = 8 - 1 - 2 = 5

3 0
3 years ago
Read 2 more answers
Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?
olganol [36]

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

b = -1

Now we replace b with -1.

y = (1/3)x - 1

8 0
3 years ago
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