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3 years ago

You are most likely to encounter an irrational numbers when you’re

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

Taking square-root of numbers

Step-by-step explanation:

The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.

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A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0

3 years ago

A rectangle has an area of 126 m2 and a width of 7 m. What is its length?

Lorico [155]

126 divided by 7 equals 18

18 m

8 0

3 years ago

Read 2 more answers

Please help. Felipe is planning a party. He has $50 to spend on sandwiches That cost $2.50 Per person , $25 to spend on drinks t

MArishka [77]

Answer:

347

Step-by-step explanation:

i added them all

8 0

2 years ago

3 to the 4th power + 2.5

Marina CMI [18]

Answer:

83.5

Step-by-step explanation:

$3^4+2.5\\81+2.5\\83.5\\$

7 0

2 years ago

F(x) = 4x² + 5x - 3<br> g(x) = 4x³<br> 3x² + 5<br> Find (f+g)(x).

Dmitriy789 [7]

Answer:

$4x^3+7x^2+5x+2$

Step-by-step explanation:

Given:

$f(x)=4x^2+5x-3$

$g(x)=4x^3+3x^2+5$

$\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}$

5 0

1 year ago