Consider the t distribution with 21 degrees of freedom. a. What proportion of the area under the curve lies to the left of t = -2.518?

1%

Step-by-step explanation:

Given that :

Degree of freedom (df) = 21

What proportion of the area under the curve lies to the left of t = -2.518?

Using the online t value calculator :

P(t ≤ - 2.518) = 0.01

Hence, proportion of area under the curve which lies to the left of - 2.518 with degree of freedom (df = 21) is 0.01 = 1%

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation:

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