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abruzzese [7]
2 years ago
10

Which expression is equal to (x+4)(−3x2−4x+2)? −3x3−4x2+2x+8 −3x2−4x+8 −3x3−16x2−14x+8 −3x2−3x+6

Mathematics
2 answers:
Phoenix [80]2 years ago
6 0

Answer:

−3x3−16x2−14x+8

Step-by-step explanation:

first times the first x in parentheses by everything in the second

(x)(-3x^2) and (x)(-4x) and (x)(2)

-3x^3-4x^2+2x

Then times the 4 by the other variables in the parentheses

(4)(-3x^2) and (4)(-4x) and (4)(2)

-12x^2-16x+8

now the whole equation:  

-3x^3-4x^2+<em>2x</em> -12x^2-<em>16x</em>+8

now you must simplify or add like terms

-<u>3x^3-16x^2-14x+8 is your answer, which is the first one. </u>

RideAnS [48]2 years ago
4 0
The first expression
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The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length
BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

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3 years ago
Find the area. The figure is not drawn to scale.
ELEN [110]

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 base = 19

 height = 3

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3 0
3 years ago
Read 2 more answers
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

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3 years ago
Evaluate the function
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2 years ago
In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?
netineya [11]

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hope this helps!

6 0
3 years ago
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