Identify the quotient and the remainder. (24x3 - 14x2 + 20x+6) ÷ (4x2 - 3x + 5) = Q + R 4x2 - 3x + 5

Mathematics

2 answers:

Sladkaya [172]3 years ago

4 0

Answer: Q= 6x+1

R= -7x+1

Step-by-step explanation:

professor190 [17]3 years ago

3 0

Answer:

Q= 6x+1

R= -7x+1

Step-by-step explanation:

You might be interested in

Combine like terms to write an equivalent expression for 4y to the power of 2 + 6x - 2y to the power of 2 + 12x

Triss [41]

I think it is 2 y ^ 2 + 1 8 x

8 0

2 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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