Step-by-step explanation:
move the 27 to the other side of the equation like this
use this equation and substitute it into the y value of the first equation
Step-by-step explanation:
a)20.52 approximately
b) 36.9 approximately
c)5.49 approximately 5.5
d)14.9 approximately 15
The percentage increase is 40%
If you multiply 45 by 1.4, you will get 63.
To solve, in a equation, it will look like this.
45x=63
And solve for x
I hope this helps.
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Answer:
the p-value for this test of hypothesis is 0.0324
Step-by-step explanation:
Given the data in the question;
sample size n = 38
Null hypothesis H₀ : μ = 20
Alternative hypothesis Hₐ : μ ≠ 20
z = 2.14
Test Statistic;
since its a two tailed test, p-value will be;
⇒ 2 × P( Z > |z| )
= 2 × ( 1 - P( Z < |z| ) )
we substitute in the value of z
= 2 × ( 1 - P( Z < 2.14 ) )
from z score table, P( Z < 2.14 ) = 0.9838
= 2 × ( 1 - 0.9838 )
= 2 × ( 0.0162 )
P-value = 0.0324
Therefore, the p-value for this test of hypothesis is 0.0324
Answer:
<h2>Square.</h2>
Step-by-step explanation:
The parallelogram that has those characteristics is the square.
The square is perfectly symmetric, both diagonals are congruent, because all sides of the square are congruent. Also, the diagonals bisects each angle of the square, creating triangles. Those triangles have 45° angles at their base and the third-angle is 90°, that is, it's a right triangle, where that right angle is between diagonals.
Therefore, a square has congruent and perpendicular diagonals, they have the same midpoint, and their slopes are opposite reciprocals of each other because that's the definition of perpendicularity.
Therefore, the right answer is square.