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3 years ago

Which represents the compound inequality x < -2 or x ≥ 3 using interval notation?

1 answer:

5 0

We are given the inequality x < -2 or x ≥ 3 in which the problem asks to determine the domain of the inequality. In this case, this means numbers less than -2 or numbers equal to 3 and greater than three. The relation that illustrates the previous statement is B. x e(-∞,-2) n[3,∞)

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If x = -2, which inequality is true?

Anettt [7]

It’s J, 3 - X would equal 3 - (-2) which turns into 3+2 which equals 5 but 5 is not greater than 10

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3 years ago

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An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are

Harrizon [31]

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

5 0

3 years ago

Your firm has a new strategy that will make its established product obsolete. However, it will take a year before you are ready

pogonyaev

Answer:

The transition between launching a new product or strategy and discontinuing the current product is a crucial business decision because it involves financial risk, customer relation and overall brand of the organization.

Step-by-step explanation:

I would choose to announce the new business strategy with a risk of short-term financial loss because of the following reasons:-

Competitive Business Environment:- In a competitive world, an organization must update the current line of products or introduce a new one to meet the growing demand and expectations of its customers. Even though a new strategy or product may incur additional cost or a loss, product development is key to having an edge over its competitors.

Long-Term Goal:- Organizations that develop strategies keeping the long-term vision of the company in mind tend to survive and sustain profits in the long run. Business is an on-going process so it’s important to stay relevant to customer demands in the future as well. Loyal customers always expect the company to deliver new products and services which can outperform the existing products and creates brand loyalty.

Business Integrity:- An organization must exercise effective stakeholder’s relationship management not just with customers but with other stakeholders like suppliers and shareholders. Announcing a new business strategy in advance built trusts and opportunities for your stakeholders to engage with you in a B2B partnership in future. This strengthens the existing partnerships and relations, where others would want to continue doing business with you in future and beyond.

6 0

3 years ago

Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan

Lunna [17]

Answer:

(a) Null Hypothesis, $H_0$ : $\mu$ $\leq$ 41

Alternate Hypothesis, $H_A$ : $\mu$ > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let $\mu$ = mean sunspot activity during the Spanish colonial period.

(a) Null Hypothesis, $H_0$ : $\mu$ $\leq$ 41 {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, $H_A$ : $\mu$ > 41 {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean = 47

σ = population standard deviation = 35

n = sample of periods from Spanish colonial times = 40

So, the test statistics = $\frac{47-41}{\frac{35}{\sqrt{40} } }$

= 1.08

(b) The value of z test statistics is 1.08.

(c) Now, the P-value of the test statistics is given by;

P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

= 1 - 0.8599 = 0.1401

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

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4 years ago

What is a number that multiplies a variable in a term ?

kirill [66]

<h3>A number that multiplies a variable in a term is known as a coefficient.</h3>

Given the term: 6x^3, we can identify three parts:

The coefficient, 6, is the constant that is being multiplied by the variable.

The variable, x, is a number with an unknown value, or with multiple potential values.

The exponent, 3, is the power with which the variable is being raised to.

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3 years ago

Read 2 more answers