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2 years ago

What is (x+5)(x-1) ? ( expanding brackets )

Mathematics

1 answer:

maks197457 [2]2 years ago

3 0

Answer:

x^2 + 4x - 5

Step-by-step explanation:

We need to simplify this

xx - 1 * x +5x - 5 * 1

Simplify further

x^2 + 4x - 5

Thus, we have our answer

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Write each set in the indicated form. If you need to use "" to indicate a pattern, make sure to list at least four elements of t

KatRina [158]

Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

This means the least number in the set is 3 while the highest number is 6.

Thus,the roster form is;

Roster form: {3, 4, 5, 6}

3 0

3 years ago

Write 300 + 90 + 4 + 0.5 + 0.07 in standard form

satela [25.4K]

$300+90+4+0.5+0.07 \to \boxed{394.57}$

7 0

3 years ago

Read 2 more answers

Consider the probability that no less than 92 out of 159 students will pass their college placement exams. Assume the probabilit

Yanka [14]

Answer:

0.2843 = 28.43% probability that no less than 92 out of 159 students will pass their college placement exams.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .