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3 years ago

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Mathematics

1 answer:

vredina [299]3 years ago

7 0

$\dfrac{ \sqrt{27} + \sqrt{75} }{\sqrt{48}} = \dfrac{ \sqrt{9 \times 3} + \sqrt{25 \times 3}}{\sqrt{16 \times 3}} = \dfrac{3 \sqrt{3} + 5 \sqrt{3}}{4 \sqrt{3}} = \dfrac{8 \sqrt{3}}{4 \sqrt{3}} = 2$

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3 years ago

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Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way

Trava [24]

Answer:

6.4 minutes

Step-by-step explanation:

The question gave us the following details:

Average speed = 60mph

Time spent on trip = 8 hours

Average speed of express train on way back = 75mph

T = distance/speed

D = distance

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= 480

Such that

480/75

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Solve the literal equation for x: g= 4x+5xy

Andreas93 [3]

The literal equation for x is $\frac{g}{4+5y}$ given that $g= 4x+5xy$

The subject of a formula is a way of representing a variable in terms of other variables.

Given the equation

$g= 4x+5xy$

Factor out the common variable x

$g= x(4+5y)$

Divide both sides by 4+5y

$\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}$

This shows that the literal equation for x is $\frac{g}{4+5y}$

Learn more here: brainly.com/question/21140562

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3 years ago

For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables:

Viefleur [7K]

Answer:

A. 0.0625

B. 0.1089

C. 0.81

D. 0.0196

Step-by-step explanation:

The proportion of variance is shared by the two correlated variables is given as the r².

Therefore,

For A. r = 0.25

Proportion of variance is shared by the two correlated variables = 0.25²

= 0.0625

For B. r = 0.33

Proportion of variance is shared by the two correlated variables = 0.33²

= 0.1089

For C. r = 0.90

Proportion of variance is shared by the two correlated variables = 0.90²

= 0.81

For D. r = 0.14

Proportion of variance is shared by the two correlated variables = 0.14²

= 0.0196

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3 years ago