Answer:
F = -6 + 2d/5
Step-by-step explanation:
2d-5f=30
subract 2D from each side
-5f=30-2d
divide both sides by -5
f= -6 +2d/5
ANSWER
The correct answer is option B
EXPLANATION
The equations are
and
When we multiply the second equation by 
, we obtain;
When we combine this new equation with equation (1).
We can see that 
has been eliminated from the equation.
We can then, solve for 
and then substitute the result in to any of the equations to find .
Hence the correct answer is option B
Rational numbers are closed under addition ,multiplication but not closed under division
Rational number
Closure property
assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example
rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication
that is 1+0 = 1 closed under addition
1*0 =0 closed under multiplication
but 1/0 is not defined so it is not closed under division
Hence Rational numbers are closed under addition ,multiplication but not closed under division
learn more of closure property here
brainly.com/question/28220649
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The value of x in the algebraic equation is: -5/2.
<h3>How do you Find the Value of a Variable in an Algebraic Equation?</h3>
Given an algebraic equation, to find the unknown value of x, solve by isolating x in the equation.
Given:
4x + 26 = 16
Subtract 26 from both sides
4x = 16 - 26
4x = -10
Divide both sides by 4
x = -10/4
x = -5/2
Therefore, the value of x in the algebraic equation is: -5/2.
Learn more about algebraic equation on:
brainly.com/question/2164351
Answer:
not statistically significant at ∝ = 0.05
Step-by-step explanation:
Sample size( n ) = 61
Average for student leader graduates to finish degree ( x') = 4.97 years
std = 1.23
Average for student body = 4.56 years
<u>Determine if the difference between the student leaders and the entire student population is statistically significant at alpha</u>
H0( null hypothesis ) : u = 4.56
Ha : u ≠ 4.56
using test statistic
test statistic ; t = ( x' - u ) / std√ n
= ( 4.97 - 4.56 ) / 1.23 √ 61
= 2.60
let ∝ = 0.05 , critical value = -2.60 + 2.60
Hence we wont fail to accept H0
This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05
