Answer:
Null hypothesis = H0 : μ = 60
Alternative hypothesis = H1 : μ < 60
Step-by-step explanation:
From the question given :
μ = 60 minutes
xbar = 44.27 minutes
s = 20.4 minutes
The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)
The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.
The hypothesis are :
H0 : μ = 60
H1 : μ < 60
First we write it into scientific notation which is 3.5*10^7. now it's order of magnitude is power of 10 that is 7. So order is 7.
The answer would be (7<em>x</em>+2)(<em>x</em>+2)
It's impossible. Supplements need to add up to 180 degrees, and in order to be obtuse, the angles would both need to be larger than 90 degrees.
Answer:
<em>Shorter leg=3</em>
<em>Longer leg=4</em>
Step-by-step explanation:
<u>Equations</u>
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:

Operating:

Swapping sides and simplifying:

Subtracting 25:

Dividing by 2:

Factoring:

We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4