74.6 - 54.5 = 20.1
20.1/2 = 10.05
54.5/74.6 = 0.731 (rounded)
Apple makes 10.05 billion more every year. The percent growth rate is about 73.1% a year.
The complete question is:
Joni translates a right triangle 2 units down and 4 units to the right. How does the orientation of the image of the triangle compare with the orientation of the preimage?
The orientation (will/will not) be the same.
Answer:
- <u><em>The orientation will be the same</em></u>
Explanation:
The <em>orientation</em> of a figure is described by the angles of its sides with respect to some cartesian axis system.
The figure is said to be translated.
<em>Translation</em> consits in sliding the figure without changing the orientation: all the angles with respect to the original axis system remain unchanged.
When <em>Joni translates a right triangle 2 units down and 4 units to the right</em>, the triangle is just shifted down and to the right, but the <em>orientation </em>will not change; it <em>will remain the same</em>.
Firstly it's not a radical expression.
You can factorize the numerator x²+12x+36 = (x+6)²
Factorize the denominator 12x+72 = 12(x+6)
=(x+6)² / 12(x+6) , simplify. Answer = (x+6)/12
Answer:
The variable can be any letter.
Step-by-step explanation:
Answer:
<em>H</em>₀: <em>μ</em> = 4 vs. <em>H
ₐ</em>: <em>μ </em>> 4
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by H
ₐ.
In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.
The hypothesis can be defined as follows:
<em>H</em>₀: <em>μ</em> = 4 vs. <em>H
ₐ</em>: <em>μ </em>> 4