Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer? 3.1x +
2 answers:
Answer: x = 
; or, write as: "1
" ;
or; write as: " 1.6667 " .
________________________________________________________
Explanation:
________________________________________________________
Given: " 3.1 x + 5.2 = 9.9 " ;
Round the: " 3.1 x " to: " 3x " ;
Round the: " 5.2 " to: " 5 " ;
Round the: " 9.9 " to: " 10 " ;
____________________________________
And rewrite the equation as:
_____________________________________
→ " 3x + 5 = 10 " ;
_____________________________________
Subtract "5" from each side of the equation:
3x + 5 – 5 = 10 – 5 ;
to get:
___________________________________________________
→ 3x = 5 ;
___________________________________________________
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
3x / 3 = 5 / 3 ;
x = ; or, write as: "1" ;
or; write as: " 1.666666666666.... " ; → round to: "1.6667" .
_____________________________________________________
or; write as: " 1.6667 " .
________________________________________________________
Explanation:
________________________________________________________
Given: " 3.1 x + 5.2 = 9.9 " ;
Round the: " 3.1 x " to: " 3x " ;
Round the: " 5.2 " to: " 5 " ;
Round the: " 9.9 " to: " 10 " ;
____________________________________
And rewrite the equation as:
_____________________________________
→ " 3x + 5 = 10 " ;
_____________________________________
Subtract "5" from each side of the equation:
3x + 5 – 5 = 10 – 5 ;
to get:
___________________________________________________
→ 3x = 5 ;
___________________________________________________
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
3x / 3 = 5 / 3 ;
x =
or; write as: " 1.666666666666.... " ; → round to: "1.6667" .
_____________________________________________________
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We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Answer:
0.5
Step-by-step explanation:
Solution:-
- The sample mean before treatment, μ1 = 46
- The sample mean after treatment, μ2 = 48
- The sample standard deviation σ = √16 = 4
- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.
Cohen's d =
- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:
- Assuming that population standard deviation and sample standard deviation are same:
SD_1 = SD_2 = σ = 4
- Then,
- The cohen's d can now be evaliated:
Cohen's d =