Please help me as soon as possible

What’s the square root of 25

Reptile [31]

Answer:

5

Step-by-step explanation:

3 0

3 years ago

Need number 5 answered please!!!

TiliK225 [7]

Answer:

-3 is a zero of the function False

-1 is a zero of the function True

1 is a zero of the function False

2 is a zero of the function True

4 is a zero of the function False

7 0

2 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

Veseljchak [2.6K]

Degree = 4

Maximum possible number of terms for = 5

Solution:

Given expression:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

To multiply the trinomial by a trinomial:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

Multiply each of the first term by the each of the second term.

$=x^{2}(x^{2}-2 x+3)+x(x^{2}-2 x+3)+2(x^{2}-2 x+3)$

$=(x^{4}-2 x^3+3x^2)+(x^{3}-2 x^2+3x)+(2x^{2}-4 x+6)$

Remove the brackets and arrange the terms with same powers together.

$=x^{4}-2 x^3+x^{3}+3x^2-2 x^2+2x^{2}+3x-4 x+6$

$=x^{4}- x^3+3x^2- x+6$

The product of the trinomials is $x^{4}- x^3+3x^2- x+6$ .

Degree is the highest power of the variable.

Degree = 4

Maximum possible number of terms for = 5

3 0

3 years ago

Read 2 more answers

Pls help it is due today

faltersainse [42]

Ok I recommend you start by

7 0

3 years ago

A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the

hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that $p = 0.08$

Sample of 595:

This means that $n = 595$

Mean and standard deviation:

$\mu = p = 0.08$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111$

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

$Z = \frac{0.05 - 0.08}{0.0111}$

$Z = -2.7$

$Z = -2.7$ has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0

3 years ago