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salantis [7]
3 years ago
8

The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.

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A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writin
Morgarella [4.7K]

Answer:

(a) We reject our null hypothesis.

(b) We fail to reject our null hypothesis.

(c) We fail to reject our null hypothesis.

Step-by-step explanation:

We are given that a certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr.

A random sample of 18 pens is selected.

<u><em>Let </em></u>\mu<u><em> = true average writing lifetime under controlled conditions</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 hr   {means that the true average writing lifetime under controlled conditions is at least 10 hr}

Alternate Hypothesis, H_A : \mu < 10 hr    {means that the true average writing lifetime under controlled conditions is less than 10 hr}

<u>The test statistics that is used here is one-sample t test statistics;</u>

                           T.S. = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean

             s = sample standard deviation

             n = sample size of pens = 18

          n - 1 = degree of freedom = 18 -1 = 17

<u>Now, the decision rule based on the critical value of t is given by;</u>

  • If the value of test statistics is more than the critical value of t at 17 degree of freedom for left-tailed test, then <u>we will not reject our null hypothesis</u> as it will not fall in the rejection region.
  • If the value of test statistics is less than the critical value of t at 17 degree of freedom for left-tailed test, then <u>we will reject our null hypothesis</u> as it will fall in the rejection region.

(a) Here, test statistics, t = -2.4 and level of significance is 0.05.

<em>Now, at 0.05 significance level, the t table gives critical value of -1.74 at 17 degree of freedom.</em>

Here, clearly the value of test statistics is less than the critical value of t as -2.4 < -1.74, so we reject our null hypothesis.

(b) Here, test statistics, t = -1.83 and level of significance is 0.01.

<em>Now, at 0.051 significance level, the t table gives critical value of -2.567 at 17 degree of freedom.</em>

Here, clearly the value of test statistics is more than the critical value of t as -2.567 < -1.83, so we fail to reject our null hypothesis.

(c) Here, test statistics, t = 0.57 and level of significance is not given so we assume it to be 0.05.

<em>Now, at 0.05 significance level, the t table gives critical value of -1.74 at 17 degree of freedom.</em>

Here, clearly the value of test statistics is more than the critical value of t as  -1.74 < 0.57, so we fail to reject our null hypothesis.

8 0
3 years ago
Assume you got a temporary job in the payroll department of your local grocery store. It is your job to compute the employees' p
astra-53 [7]

Answer: The answer is $698.00

Step-by-step explanation: For example, if you are receiving SSI and make $200 per month in earned income, the deduction will be made like this: $200 – 20 = $180 – 65 = $115.00/2 = $57.50 Meaning $57.50 would be deducted from the maximum SSI payment of $698.00 month.

Pls mark me as brainiest

4 0
2 years ago
Solve:<br> 3x - 9 = 5(x-3)
Viefleur [7K]

Hi,

3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3

Have a good day.

3 0
3 years ago
What is the difference between an algebraic expression and a linear expression?
Alik [6]

Step-by-step explanation:

A mathematical phrase that groups together numbers, variables, and operators, to show the value of something is called expression.

An expression is a sentence fragment that stands for a single numerical value. On the contrary, an equation is a sentence showing equality between two expressions.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

6 0
3 years ago
The rectangle has a length of 8 inches and height of 4 inches. The triangle has a base of 2 inches and height of 4 inches. What
Sophie [7]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
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