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3 years ago

Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

√2

Step-by-step explanation:

Solving the given expression step by step:

$\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}$

We rationalize denominator and change it into a simpler form as soon as possible.

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A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of

ozzi

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

$H_0 :\mu_1 -\mu_2 = 0$ (i.e. there is no difference between the SAT score for students in both locations)

$H_1 :\mu_1 -\mu_2 \geq0$ (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test for the two-samples; we have:

$t = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }$

$t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }$

$t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }$

$t = \dfrac{50}{\sqrt{245+342 } }$

$t = \dfrac{50}{\sqrt{587} }$

$t = \dfrac{50}{24.228}$

t = 2.06

degree of freedom = ( $n_1 + n_2$ ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value = 0.0426

Decision rule: To reject $H_o$ if the p-value is less than the significance level

Conclusion: We reject the $H_o$ , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

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3 years ago

F(x)= 1/2 square root of x-3 ... find y intercept

Veronika [31]

Answer:

if so 2130.12548...x^2

Step-by-step explanation:

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2 years ago

(p^2-7pq-q^2)+(-3p^2-2pq+7q^2)

Alex Ar [27]

Answer:

-2p² - 9pq + 6q²

Step-by-step explanation:

Add the like terms

p² + - 3p² = -2p²

-7pq + - 2pq = -9pq

-q² + 7q² = 6q²

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2 years ago

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2 years ago

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2 years ago