Answer:
The scientist’s conclusion is not appropriate because it is based on a subjective appreciation (“significantly greater than”).
<em>How “greater” is “significantly greater”?
</em>
A more objective and technical approach would be fixing a level of significance, let's say 0.05 or 0.01 for example, measuring the samples means and standard deviations and then proceeding with an appropriate hypothesis testing in order to see if the differences in means are really significant.
Step-by-step explanation:
(2j+7)(2j−7)
=(2j+7)(2j+−7)
=(2j)(2j)+(2j)(−7)+(7)(2j)+(7)(−7)
=4j2−14j+14j−49
=4j2−49
Answer:
x = 19
Step-by-step explanation:
x = the number
The words translate into algebra as
4x + 25 = 6x - 13
Solve for x.
25 + 13 = 6x - 4x
38 = 2x
x = 19
<span>Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.
Slope of a line is defined as the difference in Y divided by the difference in X. It doesn't matter which way you do the subtraction as long as you do it in the same order for both X and Y. So let's calculate the slope of AB
A(-5,1)
B(-2,5)
(1 - 5)/(-5 - (-2)) = -4/-3 = 4/3
Slope BC
B(-2,5)
C(5,3)
(5-3)/(-2-5) = 2/-7 = -2/7
Slope CD
C(5,3)
D(2,-1)
(3-(-1))/(5-2) = 4/3
Slope AD
A(-5,1)
D(2,-1)
(1-(-1))/(-5-2) = 2/-7 = -2/7
So our slopes are 4/3, -2/7, 4/3, and -2/7
Since the slopes of AB and CD are identical, those lines are parallel. And since the slopes of both BC and AD are identical, those 2 lines are also parallel. But since 4/3 * -2/7 = -8/21 which is NOT -1, that means that lines AB and BC are NOT perpendicular, so you don't have a rectangle. But you do have a parallelogram because both pairs of opposite sides are parallel.</span>
<h3>
<u><em>We need to solve for the angle VXY and it is equivalent to (18x - 2)°. We all know that the total angle of the given figure is 106°, so by adding the angles of the four sides, we can solve for the value of x. The solution is shown below:</em></u></h3>
<em>∠WVX + ∠VXY + ∠XYW + ∠YWV = 360°</em>
<em>Substituting their values, we have:</em>
<em>90° + (12x + 2)° + 90° + (18x -2)° = 360°</em>
<em>Perform addition and subtraction</em>
<em>90 + 12x + 2 +90 + 18x -2 = 360</em>
<em>30x + 180 = 360</em>
<em>Transpose 180 to the right side such as:</em>
<em>30x = 360 -180</em>
<em>30x = 180</em>
<em>Solve for x, we have:</em>
<em>x = 180 / 30</em>
<em>x = 6</em>
<em>Solving for the angle VXY, we have:</em>
<em>∠VXY = 12X + 2 = 12(6) + 2</em>
<em>∠VXY = 74°</em>
<em>The answer is 74°.</em>