Linear relations I need help on these two

1 answer:

4 0

a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.

You might be interested in

According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w

Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0

3 years ago

Simplify (34)−1.

elena55 [62]

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.